diff --git "a/data/dm_maths/full_data_1/10067_11255.jsonl" "b/data/dm_maths/full_data_1/10067_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10067_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Which is smaller: 1 or -1\/84382?\nAnswer: -1\/84382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 6*g + g. Let p(q) be the third derivative of -q**7\/2520 + q**5\/10 + 5*q**2. Let v(i) be the third derivative of p(i). Determine u(v(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g - 93*g - 3*i - 2 = 17, 5*i = 3*g - 104 - 124 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*i - 12 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/16)\/(-7)*0*7\/98.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 36. Let x be 2*((-135)\/(-2))\/1. Suppose 130 = 4*m + j*v + 30, 5*v = 5*m - x. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 + -3.06. Let x = 0.046 - -0.054. Which is the third smallest value? (a) v (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40467, -18, 1\/6, 1\/2?\nAnswer: 40467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8581590.\nAnswer: 2, 3, 5, 97, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:03 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(14586*x + 1994*x**4 - 14586*x) to m*x**2 + y + h*x + b*x**4 + i*x**3 and give b.\nAnswer: -3988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d - 1. Suppose -26*p + 47*p = 42. Suppose 0 = -0*b - b. Suppose -t + 6*t - p*a + 4 = b, -t - 4*a = 14. Determine k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/3 - 4\/6. Suppose 1 = f + z. Is 8 a factor of 3\/(1*f) + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891111 is divided by 3998.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 2*p + 28. Suppose 0 = -4*r - 8, -5*b + r + 4 = -r. Let d be g(b). Let s = d - 10. Calculate the remainder when s is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 + 8*a. Let j(m) = 4*m**2 + 4*m. Let x(w) = -3*c(w) + 5*j(w). Let n = 3 + -3. Suppose n = -2*d - 4 - 4. Give x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0201203 meters?\nAnswer: 20120.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 9, -368, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2122?\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/124, -5, 0.2, -2\/3 in ascending order.\nAnswer: -5, -2\/3, -3\/124, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*p**4 + 833*p**2 + 978720 with respect to p.\nAnswer: 192*p**3 + 1666*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1040, 1080, 1122, 1166?\n\"Answer: i**2 + 37*i + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v + 11. Suppose -4 = -5*w + 1. Let a(p) = 5*p + 4. Let l(s) = -2*s - 1. Let b(c) = w*a(c) + 3*l(c). Let o(x) = -2*b(x) + r(x). Determine o(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-25)\/(-1100)*6\/(-6)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-2))\/((-13)\/(-26)). Let w(p) = 2*p - 6. Let j be w(y). Let k be 6*21000008\/(-12) + j. Round k to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (-18 + 49) - 34 - -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = p + 4*v - 1, 4*p + v = 8. Find the second derivative of p*o**5 + 6*o - 3*o**5 - 4*o wrt o.\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 3*k + 75*k - 71*k. Let x(m) = -5*m**2 + m**2 + 3*m**2. Calculate n(x(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 65*g**2. Let a(w) be the third derivative of -13*w**5\/60 - w**2 - 216. What is a(c(k))?\nAnswer: -54925*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 16 + -860 + 859.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 + 6*q - 224. Let f(x) = -x**3 + x**2 - 3*x. Determine -b(p) - 2*f(p).\nAnswer: p**3 + 224","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5897*i**3 - 12*i**2 - 21*i + 10. Let r be z(-15). What is r rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h**2 - 8 + 0*h**4 + h**3 + 0*h + 9\/5*h**5. Find the third derivative of d(w) wrt w.\nAnswer: 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 11.01. Let j = y - -0.01. What is the closest to 0 in j, 5\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**5)\/o**7)**(1\/3) assuming o is positive.\nAnswer: o**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let m = 0 - z. Let j = -3\/2 + 2. Which is the third biggest value? (a) m (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1476282729 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 5:27 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144991.\nAnswer: 7, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008 to 4 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let b be (-15)\/(-9) + (-1)\/(-3). Suppose b = c - p. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 17, 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 106561456 divided by 106561456\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268256593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.3 - 2. Let n = 102292 - 102291. Which is the third smallest value? (a) -169 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101881 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101\/27 - -2995\/216. Let p = 3435781\/720 + 27847\/144. Let w = p - 4959. What is the common denominator of h and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 97 = -5*x - 2*g, -3*g + 45 = -3*x. List the prime factors of x\/4*28\/(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u - 2*u + 165 = 8*u. Solve -5*r + u = -3*w, 3*r + 23*w - 27*w + 7 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 33 - 5. Suppose -7*j + 18*j = 1144. Let d be 759\/(-117) + 16\/j. Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215\/12 - -19\/12. Find the common denominator of q and ((-522)\/(-60))\/((-12)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -3 (b) -0.06 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qgqggg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/65 - (1 - 0). Suppose -20 = 2*m + 3*m. What is the second smallest value in m, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10726 and 11842.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*7435\/(-4)*(-5 - (5 - 4))?\nAnswer: 3, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4*(-24)\/(-320)*73\/6 and ((-3)\/8)\/(0 + 3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85313 (base 13) in base 12?\nAnswer: -b6a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2855*y**3 - 8. Let u(r) = -45681*r**3 - 132. Calculate -33*i(w) + 2*u(w).\nAnswer: 2853*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 57 + 75. Let c(r) = -3*r - 2*r**2 - 4*r**3 - r - 4 + r**2. What is the units digit of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644*f - 120 = 638*f. Solve v + 3*v - 16 = -4*p, 5*v - f = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-24) + 154870\/(-20) - 4\/6. Which is smaller: f or -7743?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + l**3 - 1 + 4 + 4*l**2 + 1 + 0. Let x = -40 - -37. Give f(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4*h**2 + 261008*h - 11753460 = 0.\nAnswer: -65297, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, n: 6, p: 2}. What is prob of sequence pp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6564159 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + d - 25, -l + 4*d + 26 = 0. Suppose 0 = 5*j + 3*a + 78, 15 - 99 = 4*j - 3*a. Let r = -16 - j. Solve 0*t + r*t = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {f: 2, b: 1, k: 2, u: 1, g: 1, m: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 12\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 49*x - 20. Let k be v(5). Let c be k\/(-63) - 3\/7. Let z(y) = -y**3 - 4*y**2 - 4*y - 1. List the prime factors of z(c).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6686 + 6691. What is the second smallest value in -1, -1.76, -0.4, x, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 40*y + 1467. Give b(-35).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 59*g**5\/60 + g**4\/6 - 483*g**3\/2 + 1377*g**2. Find the first derivative of z(o) wrt o.\nAnswer: 118*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 666*z**2 + 1 - 2*z + 289*z**2 + 0 - 57*z**2 to the form o*z + f*z**2 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1272*c**5 + 15*c**2 + 226978*c wrt c?\nAnswer: -25440*c**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5048 is divided by 2519?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -506 - -593. What is the fourth biggest value in -0.4, 8, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 1146, 2707, 4912, 7773, 11302, 15511, 20412?\nAnswer: 26017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 + 57 = 54*o. Let i be (-6)\/(-8) - 99\/(-44). Solve o = -2*a + 7 + i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 7*n - 10*n)*(14 - 103 + 37)*(4 - 2*n - 4).\nAnswer: -1144*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (b + 2*b + 0*b)*(73 - 38 - 33) in the form w*b + c and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + o = 19, 3*o - 26 = -5*a + o. Suppose -3*v = -4*r - 80 - 62, a*r - 208 = -4*v. Suppose -4*g - 10 + v = 0. Solve -c = 4*c + g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10872, 10864, 10856, 10848, 10840?\nAnswer: 10832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/81 and 7\/711006?\nAnswer: 19197162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - 44 - 2*s**2 - 5*s - 46 + 86 as m*s**3 + k + p*s + q*s**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5*n + 2*n + 1020, 4*n = 4*t - 2080. Suppose 35*y = 29*y - t. Sort 0.2, -2\/7, y in descending order.\nAnswer: 0.2, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487348 at most as big as 487264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 32220?\nAnswer: -32231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/21, -0.18, 1, -15\/2, 52?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 2*w - 4. Let c = -137 + 134. Let g(y) = y**2 - 4*y + 7. Give c*g(h) - 5*o(h).\nAnswer: 2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17455 + -13482. What is the remainder when i is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w - 1. Let y be v(5). Let n(k) = -k**2 + 8*k - 7. Let o be n(5). What is the highest common divisor of o and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219136441?\nAnswer: 29, 79, 95651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 6054, -1, -2\/19, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -50\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 116, 171, 248, 347, 468, 611?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 35*t**2 - 9*t + 1615. Calculate m(36).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*b - 303*b = 689 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3513, -1289, 4751, 16515, 35911, 64847, 105231, 158971?\nAnswer: 227975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 - 109. Suppose -y*b = -8*b + 84. Let x(s) = s**2 - 16*s + 26. Let o be x(b). Sort 0, o, -1.\nAnswer: o, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20*r - 28*r - 10 + 46*r. Let h be g(5). Which is smaller: h or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 0*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6751.456mm in nanometers?\nAnswer: 6751456000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 92\/(-462)*-2. Let h = 767\/99 - 70\/9. Let l = b - h. What is the biggest value in -0.3, l, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -1212?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/16 and -97\/12700.\nAnswer: 50800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 3\/((-14)\/(-21) + 2\/6). What is the nearest to m in 3, -5, -0.15, 4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 5*z. Let n(a) = a**2 - 4*a. Let s(k) = -5*n(k) - 4*w(k). Let u(f) be the second derivative of -f**4\/3 + f. Determine s(u(d)).\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201365737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -501*p - 486*p + 1002*p + 10*p**2 + (0 - 2 + 1)*(0*p**2 - 4*p**2 + 2*p**2) to the form j*p**2 + k*p + h and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((4 + -5)*8)\/(-1). Suppose -2*g + k = 4*y, 5*y - 1 = -g + 3*g. Solve -g*p = -2 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 4. Let a be t(6). Let f be a\/(-6)*(12 - 3). Let n be -4*(f + 0\/1). Calculate the greatest common factor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44, 94, 144, 194?\n\"Answer: 50*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55338973*p - 7650 = 55338820*p for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, -30, -19, 32, 141, 326, 605, 996?\n\"Answer: 3*q**3 - 7*q**2 - 11*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1733523530 to the nearest integer?\nAnswer: 41636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -29, 2, -5, 1 in decreasing order.\nAnswer: 44, 2, 1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6)\/(3 + -5 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) + 98\/8. Suppose -81*c + 16 = -73*c. Suppose 5*h = 3*s + c, 2*s + 38 = 7*s + 2*h. Calculate the highest common divisor of s and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 244\/(-180) - (3016\/130)\/(-29)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*u - 3*f + 171, 4*u = 4*f + 156. Suppose 7*a - 4*a - u = 0. Let c(x) = x - 14. Let i be c(a). Are i and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/24)*s**(-15)*s**17*s\/s**32)**(-6) assuming s is positive.\nAnswer: s**(697\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o + 7*o - 6*o**2 + 9*o**2.\nAnswer: 3*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.355 to 0 dps.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -7*p - 200. Let r be -4*((-5)\/p)\/(1\/(-2)). Suppose -2*q - r*i = i - 746, q = 5*i + 399. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6920 = -254*f + 1840 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 2*a)*(24 + 15 + 8).\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2*p**3\/3 + 10. Let h(m) = m + m - 4*m. Give h(c(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881252.4 rounded to the nearest ten thousand?\nAnswer: 3880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 270, 538, 806, 1074, 1342, 1610?\n\"Answer: 268*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = p - 0*z, 0 = 2*z + 4. Suppose n = -3*o - 85, -2*o - p*n - 11 = 59. Let r = o + 31. Solve 3*d - 3 = -r*v, 3*v = -d - 2*d + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -228d9d6?\nAnswer: 228d9dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 11. Suppose -v = 3*u - 20, 2*v - 4 = 2*u + 12. Calculate w(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -9. Let y = -5 + l. Solve -12 = y*p - 0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7306196 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 583 + -580. What is the highest common divisor of 8 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dod when three letters picked without replacement from {d: 11, o: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 3\/((-6)\/(-274)). Let l = 200 - r. Calculate the least common multiple of l and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151900 and 1612?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3706 and 3026?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 26008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 248\/11*x - 2\/11*x**2 - 7688\/11 = 0.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 142723713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zttz when four letters picked without replacement from {t: 12, z: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 748746?\nAnswer: 1497492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**4\/4 + 2*b**3\/3 - 2*b**2 + 3. Let c(u) = -u**2 + u. Let v(s) = 2*c(s) + o(s). Find the second derivative of v(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {k: 2, c: 1, b: 1, r: 9, g: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2070 and 19\/50?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 36*y + 35*y - 70*y. Let l = -1 - -2. Let m = l + -6. What is a(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/8)*s\/(s**4\/s) assuming s is positive.\nAnswer: s**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 3:55 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**5*z**2 - 420983*a**5 - 38*a*z**2 - 4*a + 227*z**2 wrt a?\nAnswer: -220*a**3*z**2 - 8419660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -241, -471, -701, -931, -1161, -1391?\n\"Answer: -230*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -1\/2*u**3 + 0*u - 1\/60*u**6 + 0*u**4 - 2*u**2 + 0*u**5 + 0. Differentiate n(h) wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31339 + 91324.\nAnswer: 59985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7138860 divided by -713886\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 347?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**3 - 208*b**2 - 56556*b - 489240 = 0.\nAnswer: -90, -9, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1045 + 1045.00010348. Round l to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 524 - 526. Which is the nearest to q? (a) -1 (b) 3\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -939888, -1879780, -2819672, -3759564?\nAnswer: -4699456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165895, 331763, 497631, 663499, 829367, 995235?\nAnswer: 1161103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27840, 27843, 27846, 27849, 27852, 27855?\n\"Answer: 3*s + 27837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8440, 16929, 25418, 33907, 42396, 50885?\n\"Answer: 8489*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -46*f + 1564. Let s be n(34). Solve v + 3*i + 1 = i, s = -5*v - 3*i + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 37*y**2\/2 + 96. Let p(t) = 4*t**2. Calculate p(z(i)).\nAnswer: 5476*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -6, 5, 8, -22 in ascending order.\nAnswer: -22, -6, -3, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584, -575, -552, -509, -440?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 190 = -27*p, 5*p - 3625*q + 3621*q - 38 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 10*g**2 - g - 7. Let t be d(-10). Let v = 60 + -35. Suppose -2*h + v + 5 = 0. Solve 0 = -t*n - h, -5 = -a + 3*a + 3*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 895 by 5.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71531339, 286125325, 643781967, 1144501265, 1788283219, 2575127829?\nAnswer: 3505035095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 154648230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 24*t - 26. What is o(23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 5)*(-117*w**5 + 49*w - 49*w + (-3*w**4 + 6*w**4 - w**4)*(2*w - 2 + 2)).\nAnswer: 339*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 620357.5mm?\nAnswer: 620.3575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -950ad (base 15) to base 6.\nAnswer: -14044131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 162*f + 595 = 0. Put f, -2, 10, 1 in ascending order.\nAnswer: -2, 1, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:42 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 12180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113020 - 211?\nAnswer: 112203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24423.\nAnswer: 3, 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6*22\/(-16))\/(42\/(-112)). Suppose 2*g = -0*g + q. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v\/(v**(-2\/37)\/v)))*v**(-23) assuming v is positive.\nAnswer: v**(-775\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -8.6. Let w = -8 + l. Let m = 0.4 + w. Which is the third biggest value? (a) -2 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -111000011010000?\nAnswer: -111000011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31104 + -2239633\/72. What is the common denominator of s and 41\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-1 + 1 + 2*m**2)*(417 - 497 - 4183) as x + q*m + c*m**2 and give c.\nAnswer: 8526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 41, -16, 3, -3 in ascending order.\nAnswer: -16, -4, -3, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 + (-18)\/14. Let q be 0 - 3\/(-2 + o). Suppose -l = -q - 2. Put 2, l, -3 in decreasing order.\nAnswer: l, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-4)*i)\/(i**16*i))\/((i\/i**(-9))\/(i\/(i\/(i**(-9)*i)))) assuming i is positive.\nAnswer: i**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4319 - -17297\/4. Let z(a) be the first derivative of p*a**4 + 0*a**2 + 0*a - 12 - 14\/3*a**3. What is the third derivative of z(x) wrt x?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 3)*-6 - sqrt(5)) + -4 - (sqrt(5) - sqrt(5)*-4)*-4*6.\nAnswer: -22 + 113*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, 557, 912, 1409, 2048, 2829, 3752?\nAnswer: 4817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 2 (b) 11\/18 (c) 3\/11 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 517 is divided by 91.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34415201 to 3 dps.\nAnswer: 0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 65*t = -g - 66*t + 16, -g - 2*g + 3*t - 51 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 11. Let q be v(-15). Suppose 5*x - 18 + 6 = -3*s, q*x - 13 = s. Suppose 0 = x*u - 0*u - 30. Calculate the highest common divisor of 15 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002391 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1, 2, -8, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13636.\nAnswer: 2, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1501, -1491, -1477, -1459, -1437?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2252 divided by -11\nAnswer: -2252\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 70*f**3 + 7*f**2 + 7*f + 7. Let c(u) = u**3 - u**2 - u - 1. Determine 7*c(y) + q(y).\nAnswer: 77*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -442 - 439 + 3*u**2 - 31*u**3 + 1769 - 440 + u - 444 - u**4 as m + j*u**4 + h*u + k*u**3 + w*u**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2898 (base 10) to base 15.\nAnswer: cd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 6:30 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 674 and 3711718?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 94995.47 weeks?\nAnswer: 957554337.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -16. Let i = c - 7. Let f = -445\/1208 + -1\/151. What is the nearest to i in 1\/4, f, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821.1655 take away -11.17?\nAnswer: 1832.3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 = -5, 4*u = -4*w - 12. Sort w, -2, 4.\nAnswer: -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*w = -42*w + 3*r + 2556, -3*r - 1275 = -w. Let s = 18 + 3. Calculate the highest common factor of w and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/6*(-4)\/72. Let l = 17 - 16. Is q > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59\/4 (b) 0.054 (c) -14\/23 (d) -1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 4, w: 2, c: 1, g: 1, m: 1}. Give prob of sequence wm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -7. Let g = -1 - -0.9. Let z = -3.3 - 0.7. What is the closest to m in 0.3, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 8*n + 11. Let r be p(-7). Let a(j) = -16 + r*j + 16. Let m(b) = 3*b. What is m(a(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405)*1 - sqrt(405) - sqrt(405)))*2)\/(sqrt(99)\/(sqrt(11)*-2)) - (-1 + (3*sqrt(180) - sqrt(180))\/sqrt(4))*-2.\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -18 (b) -5 (c) -1\/7 (d) 0.5 (e) -1\/9 (f) 6 (g) 784\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/135)\/(((2112\/(-60))\/22)\/(-4))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16366141 (base 7) to base 8\nAnswer: -6055760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2768260 is divided by 251651?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-9 + 11 - 15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52*58\/42978*(0 + (-18)\/(-4)). Sort 19, u, 4 in increasing order.\nAnswer: u, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 + 3*b**2 - 6*b**2 - 5*b**2 + 11 - 11 + 6*b**2 - 3*b**2 - 4*b**2 + (1 - 1 + 2*b)*(-b - b + b) - 3 - b**2 + 3)*(238 - 32*b**2 - 238).\nAnswer: 96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49787181 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (0 + (-5)\/(-1)). Let h be (-35)\/(-10) + z\/4. What is the highest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2182, 7358, 15978, 28036, 43526, 62442, 84778, 110528?\nAnswer: 139686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*m - 42876 = 0, -4*b + 2*m + 31472 + 11420 = 0. List the prime factors of b.\nAnswer: 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 99 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**3 + 11*i**3 - 54*i**3 + 19*i**3 + 10*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, s: 1, n: 5, i: 5, j: 1}. Give prob of picking 2 z and 2 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -321 + 55. Let a = h - -265.999713. What is a rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9554.283t?\nAnswer: 9554283000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**5 - z**4 + 36591*z**3 + 40*z - 4126.\nAnswer: -40*z**3 - 12*z**2 + 219546*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -28\/13, 1, -2 in increasing order.\nAnswer: -28\/13, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864988131 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 15*h - 11. Suppose -2*l - 5*q = -1 + 31, -5*l = q + 29. What is the lowest common multiple of m(l) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 64 = -8*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 493035432 and -0.5.\nAnswer: 493035431.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-150)\/7)\/(2852\/161 - 18). Which is greater: u or 455\/6?\nAnswer: 455\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(405) + (sqrt(405) + 1)*-3 + 3*(sqrt(405) - (-1 + sqrt(405)))) - ((sqrt(405) + 0)*-6 + (sqrt(405) - (-3 + -1 + sqrt(405))) + -4))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35662662 a multiple of 1149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - c + 7 = 0, -z + 5*c = 2*z - 17. Suppose 2*p = -8*b + z*b + 170, 5*p - 89 = -2*b. Let g = -11 + 54. Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -0.353 (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/6 and 25\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7 - 1. Let c = -2.4 - -0.4. Let o = c - -1. What is the closest to 2\/9 in y, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d**4 - 6*d**3 + 3*d - 8*d + 42*d**4 - 31*d**4 in the form o*d**3 + w*d**2 + i*d**4 + k*d + u and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2735232 and 2448?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08 + -2.08. Let w = 6.6 + -7. Let g = 0.6 - w. Which is the second smallest value? (a) 4 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 139\/7 (b) 3 (c) -2\/17 (d) -35 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 - 2 = 0. Let y(x) = x - 26*x**2 - 10*x**r + 13*x**2. Let q(d) = -3*d**2. Determine y(q(u)).\nAnswer: -207*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1249*w**2 - 67*w + 2 wrt w?\nAnswer: 2498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564.163 nanograms in tonnes?\nAnswer: 0.000000000001564163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19170, 19169, 19168, 19167?\n\"Answer: -m + 19171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*-1*sqrt(80) + sqrt(80) + 5 + -1*sqrt(80) + sqrt(80))**2*2.\nAnswer: -2980 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 8*r**4\/3 + 69*r. Let i(l) = 5*l. Determine v(i(m)).\nAnswer: 800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002311651966 to seven decimal places.\nAnswer: -0.0023117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by -7.\nAnswer: -93\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13916520 by -1044.\nAnswer: 13330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -46*w - 179. Let n be g(-4). Let m(c) be the third derivative of 4*c**2 - 1\/3*c**3 + 0 + 1\/60*c**n - 1\/24*c**4 + 0*c. Suppose m(j) = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 4:12 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -3. Suppose 5 = -0*t + t. Suppose -5*o = -y + 2, 0 = -2*y + o + t - r. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 12905*c**2 - 30*c + 12904*c**2.\nAnswer: -c**2 - 28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013300000 rounded to the nearest one million?\nAnswer: -1013000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5119, -14412, -27907, -45604, -67503?\n\"Answer: -2101*s**2 - 2990*s - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/60 + v**4 + 7*v**3 + 3*v**2 + 198*v. Give j(-21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16678 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k**2 + 2*k - 1. Let c be 6 - (6\/9 - 10\/(-3)). Calculate v(c).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 13*t**2 + 27*t + 13. What is y(-11)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 178, 554, 1122, 1882, 2834, 3978?\nAnswer: 5314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:56 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66204773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 3. Let k = -7 + 10. Let p be w(k). Is 340\/p - (-1)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/36 - (-3)\/((-18)\/13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 41. Solve 3*x + 0 = -5*g - 11, 5*x + z = -5*g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -813825, -1627571, -2441317, -3255063?\nAnswer: -4068809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -645 + -217413?\nAnswer: -220260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -12*s**2 - s**2 - s**3 + 4 + 6*s**2 + 8*s. Let u be d(-8). Suppose u*o = 2*o - 2*l + 120, 5 = 5*l. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79996 + 159987\/2. Let b be (-1)\/(-1)*3*-1. Which is bigger: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by -12.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024 (base 7) in base 12?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/6)\/((-2)\/(-6)). Suppose 2*k + 2*k = -2*a + v, -1 = -5*k + 3*a. Suppose 5*q = 5*o - 5, 7*o + k*q = 2*o + 12. Solve o*t = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1*40)\/5)\/((-1)\/(-22)). List the prime factors of r\/3*11\/(198\/(-27)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -482 + 480.921. Round x to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*590\/(-885)*((-12)\/(-5))\/1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 416 (b) 2\/5 (c) -3 (d) -331 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 11262459?\nAnswer: -11262458.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333.\nAnswer: 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5288267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1. Let h be (-8)\/(-44) - 128\/(-22). Let j be (h - (-3)\/3) + -1. Let l(v) = 2*v - 3. Determine j*q(r) + l(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -147069 times -87\nAnswer: 12795003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -600, -1191, -2174, -3549, -5316, -7475, -10026?\n\"Answer: -196*b**2 - 3*b - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 6*v - 50 + 50 as j + n*v + h*v**3 + x*v**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*z**3 + 4*z - 2*z**2.\nAnswer: z*(z - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 326388.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129806, 259602, 389398, 519194?\nAnswer: 648990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/c**(-23)*c)))**(7\/6))**(-11\/2) assuming c is positive.\nAnswer: c**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 78?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/21700)\/(1\/20).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/15)\/z)\/z*z)\/z**(-2\/23)*(z\/((z*z*z**(-14)*z)\/z*z)*z)\/(z**10\/z))**(-2\/133) assuming z is positive.\nAnswer: z**(-2222\/45885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k**(3\/5))\/(k**(2\/5))**(-2\/21)*(k**(2\/7))**(1\/4)*(k**(2\/5))**(4\/5) assuming k is positive.\nAnswer: k**(3181\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -67. List the prime factors of 3471\/15 - (-2)\/l.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1173*g + 1174*g + 1280 + 3287.\nAnswer: g + 4567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 4*m. Let w be 2 + (-6)\/(-4)*10. Let t = w + -12. Let n(h) = 3*h**2 - 5*h. Give t*g(j) + 4*n(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.74345522 to four dps.\nAnswer: 1.7435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, r: 3, t: 3, b: 3}. What is prob of picking 1 t, 1 s, and 1 r?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 9*l - 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(2\/5)\/z)*(z*(z\/z**(1\/5))\/z)\/z*z)\/(((z\/(z\/(z*z\/(z*z**10\/z)*z)))\/z)\/z**5))**(1\/15))**(13\/7) assuming z is positive.\nAnswer: z**(143\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240297, 480596, 720885, 961164, 1201433, 1441692?\nAnswer: 1681941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times -177.7?\nAnswer: 479.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5 + 1264*g**4 + 139132*g**3 + 5899600*g**2 + 61960000*g - 68000000 = 0. What is g?\nAnswer: -100, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 0. Suppose -3*n + 45 = -h*n. Calculate the remainder when n is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = f + 2*j + 13, -3*f + 2*j + 13 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 3, 0.121, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 - 10*v**4 + 10*v**2 - 5*v.\nAnswer: 5*v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o - 7*o + 14*o - 25*o)*(347 - 692 + 344).\nAnswer: 35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14765 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**7\/2520 + j**4\/6 + 8*j**2. Let d(y) be the second derivative of o(y). Let n(l) = -2*l + 3*l - 6*l. Give n(d(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11443 + 11443 + 174*u**2 - 173*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-58)\/(-203))\/(5\/(-7)))\/((-5)\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 159999 or 160001?\nAnswer: 160001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 33. Let b(z) = 2*z - 37. Let d(n) = 5*b(n) + 6*h(n). Let j be d(-3). Put 3, -5, j, -3 in ascending order.\nAnswer: -5, -3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165408.55 rounded to the nearest 100?\nAnswer: -1165400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 959350 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/38, 36, -0.4?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3236, 5, 0, 3\/8, -2, -0.3 in decreasing order.\nAnswer: 5, 3\/8, 0, -0.3, -2, -3236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9255.6489 rounded to the nearest ten?\nAnswer: -9260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 6*p + 7. Let f = p + -7. Suppose f = 3*l + 4*t - 5*t - 57, -38 = -2*l + 3*t. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7529847 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -842*j**2 + 14*j + 4. Let u(p) = 844*p**2 - 22*p - 5. Give 3*c(l) + 2*u(l).\nAnswer: -838*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2463 smaller than -743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c - 5. Suppose -3*r + 18 = 15. Let u be o(r). Suppose -u*m + 3*t + 10790 = 0, m - 1739 = -3*t + 401. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 2508*x + 2510*x + 4*x**3 + 2 - 2*x**2 - x**2 to h*x**2 + i + w*x + n*x**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2*d - 2*t - 1465 = -1469, -5*d + 11*t = -32 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 13*z - 9*z + 5*k, -4*z = -4*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 4*d + 5. Suppose 10*i = 4*i - 24. Let x be o(i). Solve -t + 5 = -x*a, -a + 3*t = -6*a - 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-57)\/2)\/((-2)\/8)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a + 3. Let d be g(-3). Let y = 20 + d. Let l(q) = -y*q - 8*q + 4*q - 3. Let m(s) = -2*s - 1. What is 6*l(j) - 17*m(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-35)\/25)\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221 + -227.5. Let j = 25.6 - 29. Let b = j - o. What is b rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 14*j**2 - 19*j - 8. Determine l(-13).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64886 and -1.3.\nAnswer: 84351.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3543947 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.08. Let x = -0.22 + v. Let q = x + 0.4. Put 0.2, q, 1 in increasing order.\nAnswer: q, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87421516 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -3868.1 - -3868. Which is the closest to -0.1? (a) g (b) -6 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l**2 + 0*l**2 + l**2)*(3*l - 2*l + 0*l) + 4*l - 4*l + l**3 - 2 + 2 + l**3 + 2*l**3 + 6*l**3 + 5*l**3 to x*l + p*l**2 + d + m*l**3 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + b - 5 = -0*b, 2*a + 3*b = -11. Let y(x) = 29 - 308*x - 25 + 767*x + 159*x + 1080*x. Let i be y(a). What is i rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2353 (base 9) to base 2\nAnswer: -11011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (60\/(-16))\/((-9)\/(-3)). Which is the nearest to v? (a) 7 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/3 + 5655\/45. Let z = 980 - l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 8. Suppose a + u = 13. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*((sqrt(700)*-2)\/sqrt(4) - (sqrt(77)\/(sqrt(66)\/sqrt(54)))**2)*6.\nAnswer: 180*sqrt(7) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 2*p**3 - 2*p**3)*(-67*p - 26*p + 31*p).\nAnswer: -124*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-8 + (7 - -26)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 29 (b) 3 (c) 0 (d) -410\/3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 13. What is the common denominator of (152\/(-32))\/((-3)\/(-18)) and ((-12)\/c)\/((-20)\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 122 = -4*h, -5*h + 0*h - 150 = 3*k. Let p = -51 - k. Differentiate -20 + 3 + 5*d**4 - 2*d**p with respect to d.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:59 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000395 to 6 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*y + 24 = -0, -3*k - 5*y = -14. Suppose -7*r + k*r = -5*z + 14, -z = -2. Let q(f) = -f**3 + 6*f**2 - f + 8. Let s be q(6). Sort -1, 0, r, s.\nAnswer: -1, 0, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**5 - 8*z**5 + 17*z**5)*(0 - 1 - 2) + 2*z**5 - 3*z**5 + 0*z**5.\nAnswer: -43*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*a = -0*u - 10, -3*u = -4*a + 2. Let z = -5 - -7. Calculate the lowest common multiple of u and z + -2 + (7 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u + 101144 + 26098. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 2648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n**2 - 2. Let q(x) = -9*x**2 - x + 3. Suppose 20*d - 22*d = 68. Let z be (-37 - d)*1\/1. Give z*r(k) - 2*q(k).\nAnswer: -6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11685 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27588 and 8322?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neeseeeessennk. What is prob of picking 1 k and 2 n?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 8:03 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (418\/33 + -11)\/((3\/9)\/1). What is the second biggest value in -1990, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00223891298 rounded to seven decimal places?\nAnswer: -0.0022389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 77651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141316244 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5686 is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1691497 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 14*l - 9. Let d(p) = -p**2 + 0*p**2 - 10 + 6*p + 9*p. Let y(s) = -4*d(s) + 5*h(s). Is 16 a factor of y(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 17*i**2 - 3*i + 2. Let a(l) = l. Give 5*a(n) + k(n).\nAnswer: 17*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 11*f + 24. Let v be p(6). Let k be 3 + (11 + 1)\/v. What is the nearest to -1\/2 in -2\/15, -0.07, k?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 387108?\nAnswer: -309686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sssr when four letters picked without replacement from rrsrsssssssrrs?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 30*s**3 + 2*s**2 - 4*s + 5. Let l be f(6). Let j = 12370 - l. Let b = 8837 - j. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28318657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 divided by -6?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrhrrrrrrrrrrr. What is prob of picking 2 r?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39365 is divided by 3573.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3290\/(-49350))\/((-2)\/(-114))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2*j - 4. Let n be o(-4). Let x be (n - -16)\/5 + -3. Solve x = -2*l + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 f when four letters picked without replacement from {e: 5, w: 4, f: 3}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 19 + 6 = 0. Let y = -51 + 49. Sort -3, y, k in decreasing order.\nAnswer: y, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.66 - 0.66. Sort c, -176, 4\/7 in ascending order.\nAnswer: -176, c, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31978940?\nAnswer: 2, 5, 7, 228421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f - 864 = 0. Suppose u - 5*u = -f. What is the highest common factor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(-2 + sqrt(11) + (sqrt(66) - (1*sqrt(66) + sqrt(66) - sqrt(66)))\/sqrt(6) - (5 + (-1*sqrt(1100))**2))*-5*4.\nAnswer: -80*sqrt(11) + 88560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3566.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 154 + 14. Let k = -31728 + 32092. Calculate the highest common divisor of k and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/64 and 95\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 - 2*h - 1. Let u be k(-1). Suppose p + u*p = 80. Calculate the greatest common factor of p and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 2:31 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 371747671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.609 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -51*w - 7. Let b(f) = -76*f - 10. Suppose 125 - 160 = t + 4*v, 2*v = t - 7. What is t*u(d) + 5*b(d)?\nAnswer: -23*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35549 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 10, -3*b + 0*b - 2*k = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 8. Let w = 7 + o. Factor w*a - 12 + 3*a**2 + 8*a + 4*a + 12*a**2.\nAnswer: 3*(a + 2)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xixxxxixxxxxxiii. What is prob of sequence ix?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3\/3 + m**2 + m. Let c = -46 + 51. Suppose 10*g = c*g - 15. Let y(t) = 6*t + 5. Give g*y(k) + 8*z(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/15*-15 + -1. Let f be 2\/i + -3 - -2. Let r = 0 + 0.3. Which is the closest to 0.2? (a) -2\/7 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-423.70694.\nAnswer: -2118.5347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -833.81091 rounded to 0 dps?\nAnswer: -834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iluukyyuyssyisy. Give prob of sequence lu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (5 + -17 + -13)) + -18\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 4*f**2\/5 + 6*f\/5.\nAnswer: -2*f*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 3:07 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1382842, 1382834, 1382820, 1382800?\nAnswer: 1382774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*q**2 + 60*q**3 - 3 + 0 + 3 - 775*q**2.\nAnswer: 60*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 974, 1875, 2986, 4313?\nAnswer: 5862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 149 = -5. Let g = -11 + i. Calculate the remainder when g is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*z + 46. Let x(u) = -2*u + 7. Calculate x(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 11*i - 32. Let l(p) = -30*p + 15*p + i*p - 4. Give l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 6*s - 8. Determine d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*r = 474 + 68 + 18 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6644*d = 2075*d - 283278 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 12*h - 436. Determine j(-21).\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + 7 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509870, -1019739, -1529610, -2039483, -2549358?\nAnswer: -3059235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1776 and 10525808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*s + (-5*s + 4*s + 0*s)*(2 - 4 + 0) + s + 0*s + s + (4 - 1 - 4)*(2 - s - 2).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2841, -2840, -2839, -2838?\nAnswer: -2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, 5, 0.5, 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4099.\nAnswer: 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8.1*-4.715\nAnswer: -38.1915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705776 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001695 to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1505793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -18*w + 123135. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 194.7 and -0.349.\nAnswer: -67.9503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 559133 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4468503.581 rounded to the nearest one thousand?\nAnswer: -4469000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -133 + 8583. List the prime factors of i.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4392, 17568, 39538, 70308, 109884, 158272?\nAnswer: 215478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03004, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27*(-14)\/(-42))\/(((-891)\/(-90))\/33)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c = 16470015. Suppose 3*l - c = -t, -4*t = l + 4*l - 9150020. What is l rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 29*y - 2 in the form p + t*y and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58252 rounded to 3 decimal places?\nAnswer: -0.583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*v**2)*(52*v - 419 + 210 + 213).\nAnswer: 156*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 27. Let u be v(-5). Find the third derivative of 28*b**3 - 2*b**2 + 0*b + 0*b - 6*b**u wrt b.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4309964825?\nAnswer: 5, 23, 7495591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l = 2565 - 2901 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - d**5 + 3*d + 8*d**3 - 8*d**3 + 11*d**5 + (1 - 2*d**3 - 1)*(2*d**2 - 5*d**2 + d**2).\nAnswer: 14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.238 + 0.038. What is the fourth smallest value in 7, -0.1, d, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**(-2\/13)*(s**(4\/9)*s)\/s*s**0*s**7\/s*(s\/s**2)\/s*(s**1*s)**(-6\/17) assuming s is positive.\nAnswer: s**(15025\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/201 + 0 + 218225\/2823380\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)**(-32)\/(g\/(g\/g**2))**(-4\/9))**(-7\/5) assuming g is positive.\nAnswer: g**(392\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14274*m**3 + 2*m**2 - 22*m. Let f(h) = 33415435*h**3 + 4683*h**2 - 51513*h. What is -2*f(w) + 4683*q(w)?\nAnswer: 14272*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844693, -844716, -844739?\nAnswer: -844762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 - 82 = -4*t, 2*i - 38 = 5*t. Calculate the greatest common divisor of 18 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 141*p**2 + 971*p + 320. Give m(7).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029, -1032, -1035?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23 + -22 + (-49)\/56)*72. Let t be 1\/(-2*2\/8). Let w = 5 + t. Solve 0 = -5*o + 25, w*k + 2*o - f = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 840217374*a + 176491308892863969.\nAnswer: (a - 420108687)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195887?\nAnswer: 3, 7, 11, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 278717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 596080 to the power of 1\/2, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69546, 69513, 69456, 69375, 69270, 69141, 68988?\n\"Answer: -12*r**2 + 3*r + 69555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 26*f**2 + 7*f + 6. What is the remainder when 92 is divided by w(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2926 and 41\/12.\nAnswer: 17556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a factor of 330932776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2*n**3\/3 + 4*n**2 - 6*n - 5. What is the remainder when v(-8) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 2. Let y be w(4). Let g = y - 37\/2. Let s be ((-147)\/(-14))\/(-21)*0. What is the third biggest value in g, -2, s, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k**3)\/((k**(-11)\/k)\/k**(-1\/6)))**50 assuming k is positive.\nAnswer: k**(1475\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1456 or -1459?\nAnswer: -1456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -928, -1619, -2310?\nAnswer: -3001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*t - 16*t + 62*t = 0. Let c(j) be the third derivative of -1\/6*j**3 - 1\/24*j**4 + t*j + 4*j**2 + 0. What is the first derivative of c(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7072882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(2\/12). Let b(t) = -3*t - 35. Let o be b(-11). Let l be (o\/4)\/((-10)\/(-30)). Which is greater: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 + 14*g + 8. Let n(z) = 4*z**2 - 7*z - 4. Let j(c) = -6*k(c) - 11*n(c). Let a = -10 - -6. What is j(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(-4))\/((-18)\/(-648))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20 + 126*t**2 + 5*t**3 - 4*t**2 - 117*t**2 - 20*t = 0. What is t?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32950.\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -i - 19, 14*i = -2*o + 9*i - 41. Is 2\/3*o\/(-4) + 526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h**(2\/25))\/h)\/h*h)\/h)\/h)**(-18)\/((h*h*(h\/(h*h\/(h\/(h*h**(14\/3)\/h*h*h))))\/h*h)\/((h**(-28)*h*h)\/h)) assuming h is positive.\nAnswer: h**(917\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2507768883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j + 55*j + 70*j in the form b + p*j and give p.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/125*2\/8)\/((-103)\/(-9785)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 8. Let c(p) = 5*p**2 - 6*p + 1. What is the remainder when c(4) is divided by j(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 35. Let i be y(17). Solve -i = 7*g - 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277990716 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: Let n = 53.71 - 54. Let k = 0.11 - n. Let h = 0.1 + -0.2. Which is the third smallest value? (a) h (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5826400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2071406 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279055 and 3885?\nAnswer: 30975105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458468384?\nAnswer: 2, 11, 23, 56629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x**2 + 0*x**2 + 2*x**2)*(-77 + 219 - 70 - 291*x - 75) as m*x**3 + a*x**2 + i + f*x and give m.\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 993630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (448\/168)\/((-2)\/6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 313041040?\nAnswer: -313041031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -ebce (base 16) in base 5?\nAnswer: -3412431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35 - (-8785)\/(-245))*(1 + (-17)\/3). Solve 3*n + 11*l - 10*l = -9, 4*l = -2*n + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 - -4172724516.\nAnswer: 4172724515.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44551*m - 44540*m - 173327. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 47 - (3 - (6 + 0))*1?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - i - 12 + 16, 3*i = -2*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 1. Let t(p) = -2*p + 5. Let u(n) = 3*n - 12. Let f(w) = 7*t(w) + 3*u(w). Calculate 2*f(m) + 3*y(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/50*(-60)\/(-54)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 987 - 1?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-790)\/1580)\/(((-5)\/730)\/(-1))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, r: 5, n: 1, m: 1}. Give prob of sequence grng.\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*r - 5*r = 9, 0 = 4*t + r + 3. Let b(k) = k**2 + 6*k + 2. Let v be b(-5). Put v, t, -2 in descending order.\nAnswer: t, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2025 + 2024.99998717. Round p to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 22*t**2 - 3160 + 9*t**3 - 2577 + 10*t**2.\nAnswer: 9*t**3 - 5737","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 213103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6287865 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -67, -54, -41?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(5) + -2 - sqrt(5) - sqrt(5)) - sqrt(20)\/(sqrt(36)\/sqrt(9)))**2*5.\nAnswer: 20*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q + 124*q - 2660 = -43*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(-12)\/(-288)*-3*6\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 220223?\nAnswer: 220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 17*v**2 - 52*v - 1310. What is r(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.07. Let x = -0.4 + 0.6. Let g = x + h. Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3560, 0, -592 in descending order.\nAnswer: 3560, 3, 0, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-60))\/(8\/(-110)). Let l(s) be the second derivative of 2*s + 1\/12*s**4 + c*s**6 - 3\/5*s**5 + 0 + 0*s**2 - 121\/168*s**7 + 0*s**3. Factor l(y).\nAnswer: -y**2*(y - 1)*(11*y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170413\/7 - -24345. Let r = 1.99 + 0.01. Let l = -0.1 - -0.3. Which is the nearest to p? (a) 1\/4 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5005 divided by 91\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -931 <= -900254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07377 - -55.\nAnswer: 54.92623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84698703, -84698700, -84698697, -84698694, -84698691, -84698688?\n\"Answer: 3*f - 84698706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Suppose 0*w - 5*w = -20. Solve -h*v + v = w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2423*v - 2840*v + 5254*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2002375808 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 8. Solve -4*q + o*h + 2 = -h, -3*q + 4*h = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16485962*t**3 + 1658452*t**2 + 1.\nAnswer: -98915772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s**2 - 50*s**2 - 10*s**2.\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -611*g**6\/15 + 217*g**3\/6 - 2883*g. What is the second derivative of f(t) wrt t?\nAnswer: -14664*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23948 bigger than 23929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 71. Let t(j) be the third derivative of 0*j + 0 - 3*j**b + 0*j**4 - 1\/30*j**5 - 1\/3*j**3. Differentiate t(k) wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3313223 + 442?\nAnswer: 3314220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 6. Let i(d) = 131. Let o(k) = 56. Let p(q) = 3*i(q) - 7*o(q). What is g(n) - 6*p(n)?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 1. Let u(m) be the second derivative of m**3\/2 - 52*m - 1. Calculate 4*n(a) - 3*u(a).\nAnswer: -a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-999)\/(-63)*(-616)\/1056?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 2015 - 84)*(3*c + 0*c - c) to z*c + i and give z.\nAnswer: -4082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 388*j**2 + 25*j**3 + 378*j**2 - 277*j**2 - j**6 + 110*j**3 wrt j.\nAnswer: -120*j**3 + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 217 = 3*m - 277, k = -4*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v + j, 9 = -0*v + 5*v + 2*j. Let m(f) = 3*f + 2. Let b(g) = -3*g + 2. Let z(q) = -4*q + 3. Let i(u) = -3*b(u) + 2*z(u). Give v*i(a) - m(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 5*v - v)*(-95*v**3 + 68*v**3 + 83*v**3).\nAnswer: 336*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1146114 - -3?\nAnswer: -1146111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*w - 425, 2*w + 1730 = 3*j + j. Calculate the remainder when j is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142411012?\nAnswer: 2, 43, 677, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -722836903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/406 and 54\/12673.\nAnswer: 177422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23542875\/11 or 2140261?\nAnswer: 23542875\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 51*s - 17736. Determine a(348).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -146 (b) 2\/45 (c) -0.2 (d) -1\/2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.49, 5, 0.1, -0.2?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 7. Suppose 0 = -c - 3*c - 28. Let m be i(c). Suppose m = 4*d - 47 - 41. Calculate the lowest common multiple of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*n + 198*n = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 25*h**2 - 177*h - 128. Let i be v(14). Which is the biggest value? (a) -0.3 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 7*r - 16, -16*m + 12*m - 3*r + 36 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -11*o + 15*o. Suppose 0 = -o*g - 45 + 285. Calculate the greatest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-11)*(a*a**(-15)*a)\/a assuming a is positive.\nAnswer: a**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010111 - -1010?\nAnswer: 1011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2167*p = -2766*p + 14799 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*n = -78*n + 108. Suppose -n*v = -8*v - 631. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 10 = 5*o. Suppose 3*t + 2*t = o. Does 1 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-8\/7)\/q))**(-14)*(q**(-2\/43))**(2\/7) assuming q is positive.\nAnswer: q**(-17462\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 64, 81, 104, 133?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(117) + sqrt(117)*-1)*2 + sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117) + 2*2*sqrt(117))))*-2)\/(1*(sqrt(144)*2*-3 + sqrt(144))))**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39\/((-117)\/42) + 3423.\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -723940 + 1304271. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49266145459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p + 0)*(-1 + 1 - p**2)*(-9*p**2 + 6*p - 6*p).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20358)\/1885*((-44)\/22)\/((-3)\/10)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2031802 by -5.\nAnswer: 2031802\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 198*(-4)\/(-105) - 2. Let j = b - 36\/7. What is the nearest to j in -0.5, 41, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3026 and 18\/34799.\nAnswer: 69598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 344\/40 - (-6)\/(-10). Differentiate -25 + 3*f**3 + 0 - w*f**3 - 28*f**3 with respect to f.\nAnswer: -99*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 9*z + 4. Let d(l) = -l**2 + 1. Let t(f) = b(f) - 5*d(f). Let v(x) = -x**2 + 1. Let k be v(-3). Is t(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247436 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 4*q + 8, -35 = -72*p + 68*p - 5*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(16\/3)*(z*(z*z*(z*(z**(-2\/5)*z*z)\/z)\/z*z)\/z)**(20\/7) assuming z is positive.\nAnswer: z**(328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -5. Let s be z - ((-6561)\/(-24))\/(-3). Let o = 89 - s. Which is the third biggest value? (a) o (b) 1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -42 - -12 - ((-2 - -3) + -20)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -0.4, -3\/14 in descending order.\nAnswer: 2, 1, -3\/14, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/49*(-5)\/((-20)\/(-8))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4 and 65\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(9 + 3)*28\/6. What is the remainder when 63 is divided by (-4)\/(-14) - (-3648)\/l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32416 and 3488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-267)\/(-87) + 25 + (-11632)\/464. Solve q + q = -y*x - 21, -4*x + q = 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 67. Let n(h) = -29*h**3 + 5*h**2 + 23*h - 5. Let y(g) = g**2 + g - 1. Let q(a) = p*y(a) + n(a). What is the second derivative of q(u) wrt u?\nAnswer: -174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 962 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1872 and 85059?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6)*0 - 0. Suppose i = -s + 6 + 16. Suppose -5*h + 491 = 61. What is the remainder when h is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 12*y - 1852. Let v be j(-34). What is the greatest common factor of v and 448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16905 - -287388\/17. Let m(s) be the first derivative of 4\/17*s + 3\/34*s**4 - 2\/51*s**3 + 14 - 2\/85*s**5 - k*s**2. Suppose m(w) = 0. What is w?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:58 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**3 - 1\/15*n**6 + 0*n + 8 - 1\/5*n**2 + 1\/5*n**4 + 0*n**5. Factor p(i).\nAnswer: -2*i*(i - 1)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + 1. Let w = j + 1. Let i = -4 + 3. Which is the biggest value? (a) 5 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(-1*sqrt(5)) + -3 + 5)*2*-5.\nAnswer: -20 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**3 + 1. Let q be u(-1). Suppose 0 = -q*i + 3 - 19. Let h be 2\/i - 141\/(-6). Solve 6 = 3*n + 2*b + h, 0 = 4*n - 5*b + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*y**3 + b*y**2 + 14430*b*y + 2*y**3 + 50143*y wrt b?\nAnswer: -2*y**3 + y**2 + 14430*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - v**2 + 5*v**2 - v**2 - v**2 + 4*v**2 + (-3 + 3 - 2*v)*(v - v - 2*v) - 19*v**2 - v**2 - 6*v**2 + (205 - 205 + 73*v)*(-4*v + 4*v + v).\nAnswer: 55*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + j + 3*j + (2*j + 3*j - 3*j)*(-1 - 4 + 10)*(-1 - 4 + 2) to the form b*j + s and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v + 2. Let p be o(3). Let s be 217\/p - 2\/(-4). Suppose 0 = -4*y - 2*g + s, 2*y + 3*g = -y + 12. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -22445324.\nAnswer: -22445324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1806879 and 2091.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 1.3. Let k be (-24)\/78 + 4\/26. Which is the closest to d? (a) 5 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9385749.4 to the nearest 10000.\nAnswer: -9390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 50.93826 meters?\nAnswer: 50938260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-18)*(-12)\/(-10). Suppose -4*y = -o + r*o + 22, 0 = -3*y + 4*o + 11. Does -3 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.0593 + 5.9407. Which is the nearest to 0.1? (a) -3 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -0.022, 2\/5, 3\/2 in ascending order.\nAnswer: -44, -0.022, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 13, p: 3}. What is prob of picking 2 p and 2 i?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 622 + 1004 = 2*l. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 20775?\nAnswer: 20775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from xxaaxmxekxekeaxxxkm?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 5*y**2 + y + 6. Let c be m(-5). Suppose 0 = 2*g + c - 5. Sort g, -11, 0.\nAnswer: -11, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - -53. Suppose -4*m - 3*h - h = -s, 2*m - 57 = -h. Suppose 0 = -3*t + 67 - m. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2. Let g(b) be the third derivative of -8*b**5\/15 - 116*b**2. Determine i(g(u)).\nAnswer: -1024*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by -2?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(39\/(-527)) + 0. Let s = 2478855 - 386696603\/156. Let c = s - k. What is the common denominator of c and 23\/39?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**1)**(-44)*s**7\/(s\/s**6) assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 + d**4 + d - d**2 - 35 + 0*d**3 + 39 to w*d**2 + f*d**4 + n*d + k*d**3 + s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 8) + 4 + 7 - (2 + 3). Suppose -k - 5 + 1 = -u, -2*u - 2*k + 4 = 0. Sort 5, d, u in ascending order.\nAnswer: d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12680, 11626, 10572, 9518?\n\"Answer: -1054*n + 13734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -47 in ascending order.\nAnswer: -47, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432229 is divided by 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 2:22 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1723297 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0 - 37\/6*g**3 + g**2 + g. Let p be n(-4). What is p rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.909 - -0.091. Let k = -37 + y. Is 0.7 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421*(-2 + 5 - 10\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/9 - 248*y**2\/9 + 1018*y\/9 - 256\/3 = 0.\nAnswer: -128, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126 - -3?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t**2. Let y(f) = 2*f. What is y(d(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 92*u - 550. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -7. Let h(q) = -q**3 - 6*q**2 - 2*q + 4. What is the tens digit of h(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 33912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - 10*c**2 - 52 + 45*c**3 + 11*c**2 - 47*c**3 + 3 to r*c**4 + k + j*c**2 + m*c + s*c**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -112?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 5*u, -5*s = 3*u - 31. Let c be 2\/(4\/50 + 0). Solve 0 = s*j + c, 5*m + 0*j - 30 = j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*m - 641 - 583 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111aab8 (base 13) to base 8.\nAnswer: -24016652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 13*u = 3*u - 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 6:14 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -z**8\/4200 + z**7\/1050 - z**6\/900 + 4*z**3\/3 + 6*z**2. Let h(f) be the first derivative of o(f). Solve h(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1727.2 * -0.3.\nAnswer: -518.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154*t**2 - 116*t wrt t?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -245*a + 244*a + 2. Let p(u) = 6*u - 4. Give p(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272, 605, 1154, 1913, 2876, 4037, 5390?\nAnswer: 6929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61480 divided by 4?\nAnswer: 15370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201002 + -10?\nAnswer: 200332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7722291.72 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let h(q) be the first derivative of q**5\/40 + 5*q**3\/3 + 4. Let w(p) be the third derivative of h(p). What is g(w(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/7 - 108*q**3\/7 + 102*q**2 - 692*q\/7 - 1515\/7 = 0. What is q?\nAnswer: -1, 3, 5, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 3*f - 4 + 3*f)*(-6*f - 7*f + 2*f).\nAnswer: 11*f**3 + 44*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 87. What is the highest common factor of 16 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k**2 + 8*k - 7. Let f(m) = m**2 + m. Let u(t) = -5*f(t) - i(t). Suppose 581*y - 579*y = 24. What is u(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 734 divided by 586694.\nAnswer: 367\/293347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 567555 + -1?\nAnswer: 567554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g*g)**(-12\/13)\/(g**(-6)\/g*g*g*g\/((g*g**(2\/19)\/g*g)\/g)*g)*((g\/(g*g**(4\/3))*g)\/g**(-11))**32 assuming g is positive.\nAnswer: g**(253861\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14105.54 centuries in years?\nAnswer: 1410554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1207 by -61.\nAnswer: 1207\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 377023*p**4 - 53447 wrt p?\nAnswer: 1508092*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*m - 6 = 0, 3*m = -9*v + 4*v - 1. Which is smaller: 4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7531, 15071, 22609, 30145?\n\"Answer: -t**2 + 7543*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8673*b**3 + 1 - 1 + 235*b**3 - 4358*b**3.\nAnswer: -12796*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, p: 5, i: 2}. What is prob of picking 2 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y + 5*y)*(4 + 18 + 3 + 16) as v + a*y and give a.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-9)*-1*(-21642)\/(-36070).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oohokkoookhooggk. Give prob of sequence hok.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrxfxxssssfi. Give prob of picking 1 i and 1 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 7*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -128 + 126 + 7*t - 18*t - 28*t**3 - 6*t**2 + 6*t in the form g*t + d + a*t**3 + l*t**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1696598064 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 108 + 362*k**2 + 110 - 329)*(-3 + 4*k**3 + 3).\nAnswer: 1448*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*b**3*f*t**4 + 2*b**3*f*t - b*f*t - 3*f*t**3 - 60*f*t + 7 wrt t?\nAnswer: -996*b**3*f*t**2 - 18*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834432102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 172*x**3 - 75*x**3 - 4*x**2 - 41*x**3.\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3384\/324)\/47 - ((-25)\/9)\/1. Solve 116*f - 113*f = 5*q + 15, -q = f + b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**0\/d*d)**(4\/21))**(1\/7)\/((d**(-1\/3)\/d)**(-8\/5))**(21\/4) assuming d is positive.\nAnswer: d**(-8212\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7705 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1119572259 - 3.\nAnswer: 1119572256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1459*u + 304 = 1468*u - 2911*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27766\/235 - 162\/47. Suppose 5*j + 13*u = 18*u - 605, -u = 4*j + 484. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 46*x**2 - 3*x. Let c(m) = -2*m**2 + 77*m - 147. Let b be c(2). Let g(v) = v. Determine b*i(a) - 3*g(a).\nAnswer: -46*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-4)\/(-2) - -3. Let n = 2 - l. Let f(z) = -z**2 - 5*z + 1. Give f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27866221 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65467*g**5*h - 23*g**4*h - 560*g**2*h - 748*h wrt g?\nAnswer: 3928020*g**2*h - 552*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 3. Suppose -2*k = -t, -3 = -5*k - t + 11. Suppose -m = -k*s + 5*s. Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*d - 0*d - 8, -3*d - 5 = -j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 4*u + 5. Let r = -1 + -4. Let n be q(r). Let s be (0 + 2 - 0)\/(-2). Which is the nearest to s? (a) -2\/7 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**2 - 4*j**4 + 4*j**2 + (2*j**4 + j**4 - j**4)*(-3 + 3 + 1).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83430594 and 9126?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199374 - 3*k**3 + 199374 + k**2 - k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45442368 to the nearest integer?\nAnswer: 6741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -2806 + 5685. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -163, -353, -609, -925, -1295, -1713?\n\"Answer: b**3 - 42*b**2 + b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7595*p. Let v(j) = 28*j. Determine v(q(y)).\nAnswer: 212660*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*w + 5139 - 32959 - 9630 = 0 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -380*m + 9120. What is t(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - 3 - (-1185 - -1132).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:25 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*q - 2403 + 2410, -3*q = 2*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17553973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*i + 57*i + 21 = -1155 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/(-10) + -2 + 11. Let d be 716 - (-2 + 0\/a + -2). Suppose 8*b - 376 - d = 0. What are the prime factors of b?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 377\/(-58)*(0 + 2). Let i(c) = c**2 + 13*c - 2. Let a be i(r). Put 0, 16, a, 3 in decreasing order.\nAnswer: 16, 3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -280 + 4731*u**2 - 2288*u**2 - 2445*u**2 as v*u + l + t*u**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8908071, 8908070, 8908069, 8908068?\n\"Answer: -v + 8908072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.412676ml?\nAnswer: 0.001412676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 12*a - 10. Let t be o(13). Solve n - 4*n - t = -i, 6 = 4*n + 2*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 468324*l - 7962664.\nAnswer: 4*(l - 117098)*(l + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(3\/16)\/k))**3 assuming k is positive.\nAnswer: k**(87\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9850871067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33, 9, -15?\n\"Answer: -24*l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286089, 2572178, 3858265, 5144350, 6430433, 7716514?\nAnswer: 9002593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 26. Let y be u(7). Let l(f) be the first derivative of -1\/4*f**4 + 5\/3*f**3 + 7*f - 1 + 0*f**2. Calculate l(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -10, 2.3, -2\/7, 0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 5, f: 1, h: 1}. What is prob of sequence rwr?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 0 (c) 110\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203 - -192. Let b(w) = -55*w**3 + 11*w**2 + 11*w + 116. Let g(k) = 27*k**3 - 6*k**2 - 6*k - 58. Let p(t) = r*g(t) - 6*b(t). Differentiate p(f) wrt f.\nAnswer: 99*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 603, 990, 1173, 1158, 951?\n\"Answer: g**3 - 108*g**2 + 704*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, a: 11}. What is prob of picking 2 a?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871 is divided by 263?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1, 1366 in descending order.\nAnswer: 1366, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aew when three letters picked without replacement from {w: 3, d: 2, e: 2, a: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 159. Let k = u + -74. Factor -5*j**3 + 13*j - k*j + 6*j**3 - 4*j**3.\nAnswer: -3*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1559 + 1556. Suppose -4*g + 4*a - 6 + 14 = 0, 11 = -5*g - 2*a. Let p = -0.36 - 0.64. What is the nearest to p in v, 0.02, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109*w = 1124*w - 45. Solve 4*b + 4*d = 2*d + 12, b + w = d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/(3\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdwdudlld. What is prob of picking 1 r and 1 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832430.\nAnswer: 2, 3, 5, 17, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 4 (c) 4\/3 (d) -3 (e) 3 (f) 130 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (-4 + sqrt(8)\/sqrt(4))**2 + sqrt(2) + (sqrt(2) + 1)*-4 + 2 + 4 + ((sqrt(2) - (sqrt(242) - sqrt(242)*2))**2 - sqrt(242)*1)*1.\nAnswer: -21*sqrt(2) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139564 - 95*l + 139564.\nAnswer: -95*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjmhjhhjjjjjjhhj.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3826, 7647, 11472, 15301, 19134, 22971, 26812?\nAnswer: 30657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4 - 3 - 8)*(-7*w - 327 + 327).\nAnswer: 49*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - l = 2*l - 10, 2*d - 40 = -l. Suppose -f - 4*r + d = 2, -5*f + 2*r = -56. Calculate the remainder when 49\/(-14)*(-10)\/1 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 7*z**3\/2 - 3*z**2\/2 - 6*z + 148. What is o(4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 389322476*j\/7 - 18946498789846322\/7.\nAnswer: -2*(j - 97330619)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 148. Which is the closest to 0.1? (a) -3 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/9 + 8*h**3\/3 - 6*h**2 - 80*h\/9 = 0.\nAnswer: -1, 0, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 150359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 6*c**2 + 3*c - 1. Let b be a(-7). Suppose 4*n - b = -m, -3*m + 23 = 5*n - 16. Suppose 218 = n*l + 2. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -43. Suppose -2*t + 4 = -4*n, m = t - n - 6 + 3. Solve 5*y - 11 = 2*y - t*x, -2*x = 3*y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 + (-56)\/(-21). Suppose -4*x = 2*n - 4, k*x = -x - n + 4. Suppose 16 = 4*u - 4*j, u - 2*j = 5 - x. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 i when four letters picked without replacement from {o: 1, d: 4, i: 5, p: 1, m: 1, k: 7}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3551 and 4824.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*s + 15, -5*s = -2*c - 18 + 3. Suppose c = -3*n - 2*u + 345, u = -0*u. What is the remainder when n is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 + 3*m. Let r = -33 + 35. Calculate x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -43*q + 1166. Let c be j(27). Let w(r) = -r**3 + 2*r**2 + 3*r - 5. Let g(p) = -2*p**3 + 3*p**2 + 4*p - 6. Calculate c*g(k) - 6*w(k).\nAnswer: -4*k**3 + 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 588311954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6944, -15418, -23894, -32372, -40852?\n\"Answer: -f**2 - 8471*f + 1528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8436356 and 762?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/120 - i**5\/10 - i**4\/12 - 2*i**3\/3 - i**2. Let q be 6*-1 - (-6 + 6). List the prime factors of m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2. Let p(t) be the first derivative of -t**3\/3 - t**2 - t + 158. Let q(u) = 4*d(u) - 5*p(u). Determine q(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/23 - 82\/207. Let d = -2.98 - 0.02. Let z = 2 - 7. Which is the biggest value? (a) r (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 31 = -2*v - 10, -5*j - 44 = 3*v. Let p = j - -9. Let -24*a**p + 129*a + 52*a**3 + 31*a - 4*a**4 - 84*a**3 - 100 = 0. Calculate a.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - -12. Let y(u) = 3*u**2 - u. Let r be y(-1). Calculate the remainder when h is divided by (-28)\/(-3) + r\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(7) + sqrt(7) - (sqrt(343)*1 - sqrt(7)) - (sqrt(847) + -5*(2*sqrt(847) - sqrt(847))))**2.\nAnswer: 320*sqrt(7) + 11216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*w - 5, 5*w + 6 = n + 1. Suppose 3*v + 57 = 2*t, t + 3*t - v - 89 = n. Let m = 39 - t. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2149654 - 2149654 - 160036*v.\nAnswer: -160036*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 19*d**7\/420 + 31*d**4\/12 - 25*d**3\/3 + 17*d**2. Let a(b) be the first derivative of r(b). Differentiate a(z) wrt z.\nAnswer: 114*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = 0, -5*w - 331 = -2*a - 569. Calculate the remainder when 3519 is divided by w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 70\/117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352 and (-1236)\/(-7) + 7 + (-371)\/49.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248811416 and 38608668?\nAnswer: 2239302744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/66 + 40\/(-22) + 39. Let r = 39 - c. Solve -3*d**3 + 41*d + 0*d**r - 3 - 38*d + 3*d**2 = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 divided by -6353.\nAnswer: -67\/6353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48885 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(55)\/sqrt(80) - (2*sqrt(11) + 1)**2) - ((sqrt(55)*2)\/sqrt(5) - (sqrt(132) + (sqrt(132) - -1*sqrt(132)))\/sqrt(12))) + 2.\nAnswer: -42 - 11*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 35*i - 75. Give d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 p when four letters picked without replacement from hpfeffpffhfhpph.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9489820 + -14004620. What is t rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 70. Solve 2*d - y + u = 0, 0*d - 5*y - 25 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 29*j**2 - 107*j + 887. Calculate k(-33).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 2:50 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 20*p**3\/3 - 2*p - 19. Differentiate w(t) with respect to t.\nAnswer: 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 118, 911, 2952, 6829, 13130?\n\"Answer: 98*h**3 + 36*h**2 - h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 23*b**2 + 28*b - 126. What is the least common multiple of 5 + 3 - (-4)\/2 and v(22)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138 + -152 + 1 + 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-44) - (-163)\/11. Suppose r = 5*m - 5*q, -1 = 4*m + q + 2. Differentiate -6*y + m*y + 8*y - 5 wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3602, 13940, 31164, 55274, 86270, 124152?\nAnswer: 168920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwhu when four letters picked without replacement from {h: 1, f: 2, w: 1, p: 3, u: 3, o: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*w + 5*w = -30, 2*w = -2*j + 8. Let x be (-117)\/18 - (-3)\/(-2). Let u = j + x. Put u, -1, -5 in decreasing order.\nAnswer: -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*c = 1340, 4*c = -10*m + 5*m + 1693. Suppose -5*g = -4*s - m, 3*g + s - 189 = -s. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 508 and 574 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 2. Let t(u) = -2*u - 7. Let o(k) = 2*f(k) + 5*t(k). What is o(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 49*x**2 - 43*x + 450. What is s(24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5229175nm in meters?\nAnswer: 0.0000000005229175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4450*1\nAnswer: -4450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 3.6. Let z = y + 3. Which is the closest to z? (a) 0.2 (b) 1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(119)*-4)\/sqrt(7) + -4.\nAnswer: -4*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**3 + 3*x - 2*x - 4*x**2 - 5*x**3 + 0*x**2 - 1. Suppose -79*n - 92 = -102*n. Give k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -933413839.8 to the nearest one million.\nAnswer: -933000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48192, -192714, -433586, -770814, -1204404?\nAnswer: -1734362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -65 + -55 + 42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.7, -3, 1\/5, -42 in decreasing order.\nAnswer: 1\/5, -0.7, -3\/2, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 43 - 41 + 2*f)*(-f - 2*f + 2*f).\nAnswer: -2*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 31 + 5 = 0. Solve 2*p + m = 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1089 - -27227\/25. What is the closest to -5 in -0.6, 1\/2, b, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 9.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 9*d - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -2*p. Suppose -2*k + 9 - 1 = 0. Let q(a) = 2*a + 7. Let y be q(-6). Sort k, p, y in ascending order.\nAnswer: y, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-356562)\/(-994))\/279)\/((-6)\/(-8))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(1\/4)\/n))**(11\/4)\/(n**(1\/3))**(-4\/21))\/(n**(-8)\/n**7)**(1\/2) assuming n is positive.\nAnswer: n**(15247\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - i = -14*f - 2, 4*i + 13 = 3*f. Let r(j) = -4*j + 20. Let q be r(4). Solve f*g - 3 = -2*c - c, c - 1 = q*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(33)\/(sqrt(11)*-1) + (sqrt(150)\/(1*sqrt(10)))\/sqrt(5).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -70, 14?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274866 is divided by 6182?\nAnswer: 2858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 738273866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 42*s**2 + 2*s + 17. Let c(a) = 41*a**2 + 3*a + 18. Let f(x) = 2*c(x) - 3*n(x). Find the first derivative of f(l) wrt l.\nAnswer: -88*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9*y - 13 = -11*y, -14 = 2*u - 4*y. Factor 0 + 2\/3*t**4 + 0*t - 4\/3*t**2 + 2\/3*t**u.\nAnswer: 2*t**2*(t - 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -235*t + 995. Give p(1).\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2070, 4758, 9238, 15510, 23574, 33430?\n\"Answer: 896*y**2 + 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171)*-1 + sqrt(171))) + 1*sqrt(304) + -3*(sqrt(475) + 1 - sqrt(475))*4.\nAnswer: -12 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146.5 - 3.5. Let s = i + -86. Let o = s + -56.958. Round o to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -429, -662, -895, -1128?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111466554?\nAnswer: 2, 3, 257, 72287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441*-0.15.\nAnswer: 66.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 62*a**2 + 4*a + 3719. Let h be v(63). Solve -h*n + 5*s = -1 - 8, 4*s + 6 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 492246542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/71, 3\/4, -8, 1.2 in increasing order.\nAnswer: -8, -3\/71, 3\/4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*z = -0*z - 19, 169*d - 523 = -176*d + 344*d + 74*z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 7*m**4\/4 - 9*m + 7. Find the first derivative of s(n) wrt n.\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005716 to four dps.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 25. Let u be d(-13). Let r(a) = -6 - 9*a + u + 0*a + a. List the prime factors of r(-7).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d + 1. Let k(t) = 21*t - 3. What is 7*i(q) + 3*k(q)?\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 422332?\nAnswer: -422334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 644, 1145, 1612, 2039, 2420, 2749, 3020?\n\"Answer: -h**3 - 11*h**2 + 541*h + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -7*o**3\/3 + 13*o**2 + 3*o + 2. Let r be l(-1). Solve -r = -5*s - 5*n, -3*s + 0*n = 5*n - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = 4*z + 2*z. Let n = -35 - z. Suppose 3*i + 1 = -11, 5*i = -5*q + 915. Calculate the highest common factor of n and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v + 3 - 10*v + 23*v in the form h*v + f and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a**(-1))))**(-3\/4)*((a*a**(-2\/3))\/a)**14 assuming a is positive.\nAnswer: a**(-121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(3 + 2*(sqrt(72) + (-1 + sqrt(72) - sqrt(72) - sqrt(72))))*5)**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ettty. Give prob of sequence ey.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-585))\/(2\/(-5))*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 158430\/150 - (-12)\/15. What is the common denominator of 2*-1 - 95\/(-8) and 12\/((-1848)\/a) + 12\/2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107)\/535 - (-2)\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 1066 - 0\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94167, -377095, -848653, -1508847, -2357683, -3395167, -4621305, -6036103?\nAnswer: -7639567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -440*h**8\/21 + 27*h**4\/8 + 5*h**3\/3 - 83*h**2 + 27*h - 2. What is the second derivative of p(u) wrt u?\nAnswer: -140800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -778.8662 + -0.1338. Let d = s + 780.384. What is d rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 21*b - 31. Is 8 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*11771.7\nAnswer: 32960.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = -5*g. Let n(c) = 4*c**2 + 1. Let h be n(1). Solve -20 = -z + g*z - 3*l, 0 = -5*z - h*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*n + n = -95, 3*v + 57 = 4*n. Let m = 9667 + -67803\/7. Let y = v - m. Which is the third smallest value? (a) y (b) 0 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 171619*b + 46 - 20.\nAnswer: 171619*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2252 + -2251.7. What is the fifth biggest value in -5, 72, f, 3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 2:12 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*w + 22 = 0, -a - 2*w - 25 = -6*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -1\/540*a**6 + 0*a + 1\/108*a**4 + 1\/27*a**3 - 11*a**2 - 1\/270*a**5 + 0. Solve v(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -133*j + 220959 + 179504. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - -7 - (-126 - -183)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 82*y - 582. What is z(-16)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-216)*3 - (-2)\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05081 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*f**3*w**3 + 3*f**3*w**2 - 187*f**2*w**2 + 2*f*w**6 wrt w?\nAnswer: 498*f**3 + 240*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6139165us?\nAnswer: 0.0006139165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 117\/324 + 7\/(-63). Which is the nearest to 1? (a) -0.1 (b) 1\/5 (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19773*l**3 - 5*l**2 + 15*l + 4.\nAnswer: 118638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 676 divided by 852\nAnswer: 169\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(16\/(-6) - -2). Let g = -11 - u. Let c(w) = 6*w + 1. Determine c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = 2*u. Let i = 15 + 75. Suppose 7*o - 2*o = i. Calculate the remainder when o is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -490358905.6 rounded to the nearest one million?\nAnswer: -490000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2426, 2367, 2296, 2207, 2094, 1951, 1772, 1551?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*a + 5, a - 39 = -5*g + 8. Suppose 0*u - 5*u = -3*u. Suppose 4*o - 20 = -u*o. Calculate the smallest common multiple of g and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**8\/2856 + 2*u**7\/1785 - u**5\/255 + u**4\/204 + 9*u**2 + 3. Factor z(w).\nAnswer: -2*w*(w - 1)**3*(w + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**10)**(-15) assuming r is positive.\nAnswer: r**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1802 + -47b?\nAnswer: -2081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 23*w + 1. Let g be l(7). Is g > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 5. Let q(p) = -p - 3. Let a(b) = -3*n(b) + 5*q(b). Let o(x) be the first derivative of x**3\/3 - 6984. What is a(o(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 256 from -30248.\nAnswer: -30504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + -1 + sqrt(363)))))**2 + -4 + -5*(sqrt(363)*3 + -1).\nAnswer: -77*sqrt(3) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by -6.\nAnswer: -107\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-10))\/(21\/70). What is the highest common divisor of j and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/3968375 and -31\/158735000.\nAnswer: 158735000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(((-4)\/(-24))\/((-5)\/(90\/(-3))))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 2*x - 6. Let w be u(4). Let d(t) = -t + 4*t + 5 + 9*t**w + 2*t + t**3. Is d(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 o when three letters picked without replacement from xxoogb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 14903305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2141 + -6634?\nAnswer: -4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151435*f**5 - 75*f**2 - 9*f - 9 wrt f?\nAnswer: 9086100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 1. Let q be y(-2). Suppose -20 = -2*i - 2*i. Solve 4*p = -n - 3, -p = i*n - q*p - 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -6\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4)*-109*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52303*x**5 - 3*x**2 + 1356*x wrt x.\nAnswer: -3138180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -159, -652, -1481, -2652, -4171, -6044?\n\"Answer: -s**3 - 162*s**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200785?\nAnswer: 5, 31, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-196)\/(-42) - 13. Which is smaller: c or 839?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/15 - -7*2\/30. What is the nearest to -2\/3 in c, -5, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(6\/((-39)\/13))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 = u, 4*u + 4*t = 3*t - 52. Let o be (0\/(u - -6))\/(-2). Suppose 5*x + 1 = -2*w + 54, 4*x + 12 = 0. Which is greater: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = -z - 48 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 23 = 4*q, 0 = 2*g - 13*q + 15*q + 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 728489281 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkwwfkkpkfppfpgrkw. Give prob of sequence rf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/5)\/((-1)\/(-35)). Let g be 3\/(-2) + y\/12. Sort 3, 1, g.\nAnswer: 1, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1081.8 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 5. Let q be (h\/((-70)\/4))\/2. Let c = -891.9 - -892. What is the nearest to c in -3, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 2*q + 9. Give o(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 22*l + 46. Let v be d(-8). Let y = 0.1 - 0.1. What is the closest to -2\/7 in y, v, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21794321*u**2 + 59643*u + 93?\nAnswer: -43588642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19830 - 18304. Calculate the remainder when x is divided by 153.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)\/((d**(-5)*d)\/d))\/(d\/(d*d*d\/d**(-3)*d)*d*d*d*d\/(d\/(d\/(d*d*d**(-3\/14)\/d)))*d) assuming d is positive.\nAnswer: d**(-17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + ((sqrt(1584) + 3 + (sqrt(1584)*1 - sqrt(1584)))*6 - (4*(sqrt(1584) + 1) - (2 + sqrt(1584) + 4)))**2.\nAnswer: 1440*sqrt(11) + 14657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.3 (c) 1 (d) -4\/3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -6 - 2. Suppose 0*i - i - 16 = 3*v, j*i - 16 = 2*v. Is (-2139)\/(-27) - v\/(-27) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**4 + 31*h**3 + 199*h**2 + 293*h + 133. Let y(v) = -3*v**4 - 16*v**3 - 99*v**2 - 146*v - 66. Let w(b) = -2*a(b) - 5*y(b). Factor w(n).\nAnswer: (n + 1)**2*(n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*z = -300*z - 45. Calculate the common denominator of 79\/54 and 9 + 2600\/(-112) - z.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.053 + -4.053. Let x be (-2)\/(-5) - 4\/10. Let z be 0 - x - 1\/(-4). Which is the closest to 1\/2? (a) g (b) 0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from edvd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -276595, -553183, -829771, -1106359, -1382947, -1659535?\n\"Answer: -276588*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = 2*i - 7*i. Let t = i - 13. Calculate the remainder when 110 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10910, 10885, 10846, 10787, 10702, 10585, 10430?\nAnswer: 10231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -15)*((-20)\/(-6) - (-60)\/(-15)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**10*z*z*z\/(z**(1\/4)*z))**(1\/42) assuming z is positive.\nAnswer: z**(47\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5005, -2 in descending order.\nAnswer: 0, -2, -5005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -11 (c) 4\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 11 - 6 + 2*n)*((-1 + n + 1)*(-1 - 1 + 1) - n + 5*n + n).\nAnswer: 8*n**2 + 104*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:22 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 17*c**3 - 54*c**2 - 54*c - 83. What is q(5)?\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 70*i**2 - 8*i + 2. Let j be r(-6). Suppose 38 + j = 8*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Which is the nearest to 0.2? (a) -0.1 (b) z (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s + 3. Let d(x) = x + 1. Give -28*d(h) + 4*g(h).\nAnswer: 4*h - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/3 - 9*k**2 - 50*k\/3 = 0.\nAnswer: -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1941215 (base 10) to base 6\nAnswer: -105335035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11690 is divided by 10587.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, -135259, -2 in ascending order.\nAnswer: -135259, -2, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 1. Let r be c(3). Let z be 4\/(-10) - r\/(-5). What is the third derivative of 3*x**z - 4*x**2 + 2*x**2 - x**2 + x**2 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - -3) + 33 + 2 + -27 - 9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51410 + -1.53.\nAnswer: -51411.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) + 30\/8. Let b = 6 - v. Suppose 369975 = -5*k + 3*w + b*w, 3*k + 222015 = -3*w. What is k rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2 - 2)*(-7 - -5). Suppose -45 = 3*d - 8*d - 5*a, 5*d - c*a = 53. Calculate the remainder when 108 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 - 30\/(-9). List the prime factors of (-1)\/p + (-183)\/(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 5534*w**6\/15 - w**4\/4 - 194*w**3 + w**2 - 5750*w. What is the third derivative of x(u) wrt u?\nAnswer: 265632*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -161 + 159 - (24 + 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75)\/200*(-2)\/(-6)*-2. Is 1 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 1 + y**2 + 2 - 9*y. Give t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140665721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 32*w + 829. What is v(-40)?\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 3*j**2 + 0*j**2 - 29*j + 3*j**2.\nAnswer: -7*j**2 - 29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 + 11*q - 6. Calculate the lowest common multiple of l(7) and (-3)\/(6\/(-22)) + -1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 - 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47325758 and 14.\nAnswer: 331280306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**3 - 16*a. Let z(m) = m**3 - 3*m. Suppose 0 = -3*w - 15, w - 1 = -0*q + 2*q. Give q*i(j) + 16*z(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 245564510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**6\/420 + z**5\/105 + 19*z**4\/28 + 18*z**3\/7 + 2242*z**2. Suppose b(x) = 0. Calculate x.\nAnswer: -6, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 + -731465?\nAnswer: -731418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(1*(1 + sqrt(98)) + sqrt(98) - (3 + 1*sqrt(98)))**2.\nAnswer: -206 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 22 = 36*n - 65 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1398*v**3 + 2*v + 3. Let j be g(-1). Let h be 14\/63 - 349\/(-9). Suppose -j = -h*i + 38*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 12*q**2 + 81*q + 35. Calculate b(16).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/2 (b) 64 (c) -5 (d) -1 (e) 0.5 (f) -4379\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + 1 + -1.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 59.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/36 + 24556\/(-144). Let d = -167 - v. What is the common denominator of d and 47\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 55321 = -5*t, 51*t + 5*o - 33197 = 48*t. List the prime factors of t.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104645882 by -3.\nAnswer: -104645882\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:48 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-8))\/(3\/(-16)). Suppose s = -b*s + 50. Solve 20 = 5*l, k - 1 = -3*l + s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137297 or 136916?\nAnswer: 137297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-175))\/((-3)\/45) + -28\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -11, -11, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8573*q + 332600 = -1921*q for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*y, 18*y - 17*y = -2. Let z = -93 - -652\/7. What is the nearest to b in 0.2, z, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8291 + -5238. Calculate the greatest common factor of 172 and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 26*u. Suppose u = -6*a + 5*a + 3. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {x: 1, b: 6, i: 3, c: 3, l: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72023, 2, 195 in decreasing order.\nAnswer: 72023, 195, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/34)\/(6\/(-4)). Let p = 23\/51 - x. Suppose -4*n + 1 = -3*n. What is the nearest to n in 0.5, p, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 25065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -68, -55, 20, 181, 452, 857?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.4, -69210\/7, 0.2 in increasing order.\nAnswer: -69210\/7, -0.4, -2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 - 3?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3231 = 39*i - 2646 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000047 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**10\/p**(-15)*p**(-9)*p**(-1\/7) assuming p is positive.\nAnswer: p**(111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 3. Let h(a) = -a - 1. Let u(o) = -2*h(o) - 2*l(o). Let g be u(-3). Let m(d) = 4*d**2 - 2*d - 2. Calculate m(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13489913.\nAnswer: 13489913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnxxvxxn. What is prob of picking 4 x?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 14*c**2 - 152*c - 12496. Determine n(-25).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1156\/(-14) + ((-14)\/(-49))\/1. Let u = -17693\/210 - w. Find the common denominator of -25\/4 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131103 (base 10) to base 13\nAnswer: 4789b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252*t + 28*t**2 + 252*t to m*t**2 + w*t + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 160 - 5?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5 + 172*s**4 - 1964*s**3 + 3428*s**2 - 1632*s = 0?\nAnswer: 0, 1, 17, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -190 + b?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11d (base 15) in base 13?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/(-12))\/(-3) + 3\/(-12). Is -9\/7 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2629*d**3*v + 2488*d**3 + 34*d**2 - 29*v**4 with respect to v.\nAnswer: -2629*d**3 - 116*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 1. Suppose 2*d = 3*c - 156 - 177, 3*d + 2*c = -467. Let b = 158 + d. What is the nearest to 4\/5 in t, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7930\/1525)\/(1\/10)*6\/(-4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (10 + (-1 - -17) + -18 + -6 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1682, -1686, -1692, -1700, -1710?\n\"Answer: -h**2 - h - 1680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -52, -17, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-225)\/(-270))\/(1\/((-12)\/15)). Put 3\/7, 2, 1.9, y in descending order.\nAnswer: 2, 1.9, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k**2 - 2*k**2 - k**2)*(-51 - 11 + 4)*(3 - 1 + 0) as b*k + c*k**2 + q and give c.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 7*w - 180. Suppose w + 13 = 3*j. Suppose j*i - 2387 = -748. List the prime factors of i.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1623 = -417. Let m = x - -1274. Suppose -252 + m = 4*v - c, 0 = -4*v - c + 618. List the prime factors of v.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8264, -16399, -24534, -32669?\nAnswer: -40804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245501272?\nAnswer: 2, 30687659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 246 - 72. Calculate the remainder when y is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 6*(sqrt(112) + sqrt(112)*-1*-4)**2*2)*-2.\nAnswer: -67206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - n + 28. Does 16 divide t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57456\/39900*(-15)\/(-12).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.015\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-36) + 34\/(-60)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, j: 2, y: 5, g: 1, k: 7, b: 4}. What is prob of picking 1 b, 1 z, and 2 y?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 + -237. Let q be (3\/(-6))\/(3\/i). Suppose -2*m = -5*w + 892, -2*w + 380 = -0*w + 5*m. What is the greatest common divisor of q and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 - 2*b - 5. Let f be g(-4). Suppose 5*k + 76 = 3*i + 11, -i = k - f. Calculate the lowest common multiple of i and (-3 + 7)*(-2 + 5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211585.\nAnswer: 5, 11, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3211132 + -13?\nAnswer: -3211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = x + 44. Let b(o) = 4*o**2 + 25*o + 1. Let a be b(x). Let v(z) = z - 10. Let i be v(8). Sort a, i, 0.\nAnswer: a, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246057 and 15?\nAnswer: 1230285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -2 - (6 - (41 + -84)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + 16*x - 20*x**3 + 3*x**3 - 4*x**3 + 8*x**3 wrt x?\nAnswer: -78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7075667 - 14*x**3 - 7075667.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/15525 and 73\/49410.\nAnswer: 5682150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20967891?\nAnswer: 3, 7, 998471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10463*q - 140 = -10393*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186 + -184. What is the second derivative of -108*w + r - 11*w**2 - 2 + 11*w**2 - 135*w**4 wrt w?\nAnswer: -1620*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, z: 8, c: 5, j: 2}. What is prob of sequence jjcc?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 times -0.08?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*r + 2*r + 6, -r - 18 = -5*o. Suppose -3*j = -24 - o. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-315))\/(5\/25*-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(320) - -4*(sqrt(320) + 1 + sqrt(320) + sqrt(320)))**2 + -4.\nAnswer: 1568*sqrt(5) + 62765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (483\/23)\/((-3)\/(1\/(-1))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11846381*p - 23692756. Calculate s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 63*i = -60*i + 50, 8*g - 12*g - 36 = 2*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-840)\/(-16)) + 16\/252?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3478\/13 in -5, -2\/11, -5\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqaqaqq. What is prob of sequence qqqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1737*h*t**2 - 22*h*t + h - 14828 wrt t?\nAnswer: -3474*h*t - 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.9 - 0.1. Let g = 91 - 25. Let t = -65.9 + g. Is r at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((sqrt(1400) + sqrt(56) - sqrt(56) - sqrt(56))\/sqrt(8)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**2\/2 - k - 5. Let h(b) = -3*b**3 + 1 + 0 - 3 + 0 + 2*b. Give -h(d) + 2*t(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - 2*sqrt(119))\/sqrt(7) + sqrt(17) - ((sqrt(17) - -2*sqrt(17)*-3) + sqrt(17))**2) + -2 + sqrt(17)*-2 + -5 + -3.\nAnswer: -282 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, z: 2, w: 2, k: 1, d: 7}. Give prob of sequence jk.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1634813 - 42.042635.\nAnswer: 1634770.957365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) -3\/5 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0608 bigger than -2.9011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -32*x**2 + 16*x - 25. Let g(s) = -6*s**2 + 3*s - 5. Let u(z) = 2*f(z) - 11*g(z). Determine u(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**6\/120 + t**4\/24 - 7*t**3 + 51*t**2. Let l be i(0). Sort l, 3, -3, -4.\nAnswer: l, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 5*c**2 - c**2)*(-2*c + 0 + 0) + 3574*c**2 - 3544*c**2 - 11*c**3 - c**3.\nAnswer: -18*c**3 + 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 1, 0.2, 0, -0.394, -43?\nAnswer: -0.394","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-6)*(-627)\/1463. Solve 0 = -n*z - 2*z + m - 25, -4*m = -20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f - 1259*f**2 + 1259*f**2 - 8*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -14*i**3 - 8*i**2 - 8*i + 8. Let v(u) = 5*u**3 + 3*u**2 + 3*u - 3. Calculate 8*v(o) + 3*y(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 6:43 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (200*s**4 - 94*s**4 - 100*s**4)*(-23 - 40 + 117) as a*s**2 + j*s**4 + x + m*s**3 + t*s and give j.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -4 (c) -5 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 39 + 58 = 4*g, 4*c = -3*g - 9. Let d(w) = -2*w**2 + 4*w + 6. Let y(l) = l + 1. Let m(x) = -d(x) + 6*y(x). Determine m(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -3\/8, 4\/5, -1, 4377?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {k: 2, n: 4, c: 1, o: 1, m: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, -7\/12.\nAnswer: -7\/12, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (16 - 24) + (0 - (-3 - -23))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -12. Let q(b) = -2*b**2 - 5*b + 13. Let v(n) = 3*n**2 + 8*n - 20. Let a(x) = c*v(x) - 8*q(x). What is the derivative of a(s) wrt s?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*j - 25*j**2 - 18*j**2 + 50*j**2 - 11*j**2 + 181*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2263 * -120820\nAnswer: 273415660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24477 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 9755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 904366 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -65, -4, -5, 0, -0.4, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide (-54015)\/(-45) + 12\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73452 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -31031 (base 5) to base 9\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525 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: Suppose -21*o = -16*o - 2*h - 8, 2*h = 2*o - 2. Let l = 1 + 1. Suppose -l*p + p - 45 = -2*u, 0 = o*p + 2. Calculate the smallest common multiple of u and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1443 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 3*r**5\/20 - 7*r**3\/6 - 185*r**2 + 124*r. Find the first derivative of y(z) wrt z.\nAnswer: 9*z**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -140. Suppose -3*o = 3*h + 58 - 253, 0 = -h + 2*o + f. Suppose 4*j - k - 280 = 0, -5*k + 350 = 4*j + h. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000663 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19608 + -13171. What are the prime factors of i?\nAnswer: 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 49905*y. Let t(i) = 3*i**2. Determine g(t(c)).\nAnswer: 149715*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2836059 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 14) in base 8?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10656 = -20*a + 8*a - 10464 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 13. Determine g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -52 (b) 17 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21888 + 40856 = -2024*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**2 - 28*o**3 - 3*o**2 + 9*o**2 + 4*o**2 wrt o?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15005 and 17747914?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 399778.017 and 4.\nAnswer: 1599112.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a decade in years?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 52, 35, -30, -161?\n\"Answer: -3*q**3 + 3*q**2 + 25*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 + -0.08. Let p(i) = i**2 + 13*i + 35. Let z be p(-8). Let r = -269 + 3499\/13. Put r, z, a in increasing order.\nAnswer: z, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-1 + (sqrt(425) - 2*sqrt(425)))*6 + -5*(-5 + sqrt(425)*-2))*-2)**2.\nAnswer: 48640*sqrt(17) + 458304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203728780259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Let v = -4.2 - -3.2. Sort v, x, -5 in descending order.\nAnswer: x, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 2:04 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 108. Suppose -3*t - 21 = -b. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 4, l: 5, p: 3}. What is prob of picking 1 r and 1 b?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101417*o - 967*o**2 + 101417*o.\nAnswer: -967*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1488 less than -3.2?\nAnswer: -3.3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346264?\nAnswer: 2, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1099301, 2198624, 3297947, 4397270?\n\"Answer: 1099323*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 58*j**2 + 1810*j + 71. Determine a(-31).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.09 - 14. Let g = 20969 - 20966. What is the third smallest value in -0.2, 0.5, z, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c, 267*c = -l + 263*c - 15. Sort -4, -15, l, 3 in increasing order.\nAnswer: -15, l, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46057 greater than or equal to -46050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2 - 4*f + 5 + 0 + 3*f. Give l(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2*(-916)\/18549\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j + 17. Give c(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/9023 in -7, -2\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 12:46 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 479*u*y*z**2 - 3*u*y*z + 3*u + 2*y*z**2 - y*z + 15*y + 2*z**2 wrt z?\nAnswer: 958*u*y + 4*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -561542 (base 7) to base 3\nAnswer: -12000212212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 183120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dph when three letters picked without replacement from ddvdvpzdzhzvzdpdv.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 138 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 31, 0, -179 in decreasing order.\nAnswer: 31, 7, 0, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 506 = -4*w - 194, -w = 3*c + 158. Let p = w + 175. Put p, -11, 1 in decreasing order.\nAnswer: p, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 9*n + 3. Let f be t(-10). Let v(w) = -273*w + 45. Let x(y) = -425*y + 67. Let g(u) = -14*v(u) + 9*x(u). Determine g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 - 2996*p**3 + 64540*p**2 - 108028*p - 175560 = 0. Calculate p.\nAnswer: -770, -1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*s, 4*o + 2 = -s + 3*o + 2*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1215) - 5*(sqrt(1215) + sqrt(1215)*-2)) + sqrt(1215) - sqrt(1215) - (-1*sqrt(1215)*5 + sqrt(1215) + sqrt(1215)))\/(3*sqrt(5)*1*1*6)*2.\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = 3*m + 244. Suppose -d - h + 4*h = -24, -h + 57 = 4*d. Calculate the remainder when ((-12)\/21)\/(4\/m) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100001221001 (base 3) to base 6.\nAnswer: -313422214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/39 (b) -0.3 (c) -7 (d) -18 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + y**2 - 5 + (0 + 1 + 0)*(-2*y**2 - 3*y + 3*y) - y**2 - 2*y**2 + 5*y**2 - 3187*y**2 + 1391*y**2 + 1040*y**2 as m + j*y**2 + v*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-50))\/((-32)\/(-16))*65.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7935 bigger than -7932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -4*t**5\/5 + 23*t**4\/12 + 20*t. What is the third derivative of m(f) wrt f?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 3, d: 1}. Give prob of picking 1 d and 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 9 = 3. Let d(a) = a**3 - 1. Let j(x) = 34*x**3 + 4. Let y(r) = g*d(r) - j(r). Let h be y(-1). What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0 + 5*j**2 - 1\/60*j**5 - 5\/12*j**4 - 7\/3*j**3 + 0*j. Let n be m(-8). Put -0.4, 1\/2, n in decreasing order.\nAnswer: n, 1\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-365474)\/(-14) - 1880\/6580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -657*n + 19. Let a(q) = -656*q + 14. What is 5*a(d) - 4*m(d)?\nAnswer: -652*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l, 4*h - 3*l = -5*l - 114. Sort 0, -1, h in descending order.\nAnswer: 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 452\/5 - 90. Which is the second biggest value? (a) 1\/3 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1*24\/(-4). Suppose 2*d - 21 = -y*m + 3*m, 3*d = 4*m + 23. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -10\/3, -341 in increasing order.\nAnswer: -341, -10\/3, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/1359 and -33.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-103)\/(-7) + 92\/322?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(4050)*2 - 2*sqrt(4050)*-2 - (-1 + -3 + 4 + sqrt(4050)))**2 + 3.\nAnswer: -450*sqrt(2) + 101254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dztd when four letters picked without replacement from oqodooddtozetdooe?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/2 in -1\/4, -11, 0.4, -9, 17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j + 3*w - 4*w, -4*w + 32 = 4*j. What is the third biggest value in -2, 62, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 10*v**2 + 11*v + 3. Let y be d(-11). Let a be (-1)\/(y - 11 - 0). Let n be 1 + -5 - 1\/1. Sort n, 0.4, a in descending order.\nAnswer: 0.4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/42*12*7\/56?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 5 - v + 3 + (-1 + 4 - 1)*(3*v - 5*v + 3*v) + (-2 - 1 + 0)*(2*v + 0*v - 3*v).\nAnswer: 7*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 145, 312, 479, 646?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5440923\/1820 - -20928\/7. Calculate the common denominator of d and -115\/36.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. Let o be 1*3\/(-45)*-3. Let l = 0.746 + -0.446. Which is the nearest to o? (a) -1 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1203362.28.\nAnswer: 1203360.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:55 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*i + 6*i + 9*i - 4*i in the form f*i + v and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2705.8 + 2708.8. Which is the nearest to 0? (a) u (b) -16 (c) -1\/11 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s**(-2\/13)\/s*s**(-6)\/(s*s\/(s*s**4)))\/(s**(-5\/2)\/s**8)**(-2\/5) assuming s is positive.\nAnswer: s**(-738\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 + 201. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -68*z + 17. Suppose -23*w - 29 - 40 = 0. Does 17 divide d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -9)*(-1 + 0). Suppose 13 = 3*g + 4*t, -3*t + t = 2*g - a. Suppose -5*x + 251 + 399 = 5*o, -g*o + x = -374. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/(f*f**4)))*f**(-2\/5)*((f**(-1\/9)\/f)\/f)\/f**0)**47 assuming f is positive.\nAnswer: f**(-15886\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -0.5 (c) -4 (d) 3693.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3019 + -3.3019. Which is the closest to -5? (a) d (b) 1.9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41453.532 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(9 + ((-10374)\/90)\/13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 70. Suppose -d*c + 0 = -42. Solve 2*j = 4 - c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.2211 + -1.4221. Round d to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5138536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 15. Let p be l(-14). Let x = 4 - p. Find the second derivative of -x*v**3 + v - 6*v**3 - v - 8*v wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-1976)\/(-220)) + 4. Let k = b - -303\/110. What is the common denominator of -51\/62 and k?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -837 - -879. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4055.\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 328 - 413. What is the highest common factor of f and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -43, 1, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.91, 2\/11, -0.5, -0.4 in ascending order.\nAnswer: -0.5, -0.4, 2\/11, 0.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 4328338.\nAnswer: 34626704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b5a - b?\nAnswer: -b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 71*f - 419. Let j be r(6). What is the highest common factor of j and 1043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 1, u: 2, w: 3}. Give prob of picking 2 i and 1 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 149*l**3\/3 + 2066*l**2\/3 + 7504*l\/3.\nAnswer: l*(l + 7)*(l + 8)*(l + 134)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162000, -162005, -162010, -162015, -162020?\nAnswer: -162025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198060107?\nAnswer: 7, 23, 43, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210012 (base 3) to base 6.\nAnswer: -2352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 107528, 215062, 322612, 430184, 537784, 645418?\n\"Answer: n**3 + 2*n**2 + 107521*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.208 - 3152447.\nAnswer: -3152446.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + 2*t, 0 = 5*t + 7 + 3. Sort -4, 1\/4, 3, l, -138 in decreasing order.\nAnswer: 3, 1\/4, l, -4, -138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7306\/9 + -49918\/63. Suppose -4\/7*l**5 + 24\/7 - 92\/7*l + i*l**2 - 96\/7*l**3 + 32\/7*l**4 = 0. What is l?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {i: 4, p: 1, d: 3, o: 2, c: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 6:00 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyyqyyqyqyyqyyy. What is prob of sequence yy?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Let c be h(-7). Let s be 1 - (-3)\/(c\/10). Let b(x) = -6*x - 6. What are the prime factors of b(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o = -44*o - 10*x - 115, 5*o + 4*x + 43 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 5*l - 0*l, 5*j + 3*l - 59 = 0. Suppose -4*o + j = -9*o. What are the prime factors of -1 + (2 - o) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 1. Let l(t) = -4 + 2615*t**3 - 4*t**2 + 1 + 7 - 2614*t**3. What is -4*k(g) - l(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(10*2\/(-1)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*h + 1057*h = -5*j + 1, -3*h = 2*j + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 2*b**3)*(3330*b - 4301*b + 4382*b)*(5 - 4 + 1).\nAnswer: -13644*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 + 572. Is 57 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38432991 * -5\nAnswer: 192164955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + (sqrt(55)*6*-6)\/(4*6*sqrt(11)).\nAnswer: -10 - 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + s**3 - 3*s**2)*(0 + 0 - 1) - 2*s**3 + 3*s**3 - 3*s**3 + (-3 + 2*s + 3)*((-s + s - 3*s)*(2*s - 4*s + s) + 0*s**2 - 3*s**2 + s**2).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 8d9c4e3?\nAnswer: 8d9c4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -650, -1299, -1948?\n\"Answer: -649*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/42)\/((-4)\/(-24))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d - 15 = 0. Suppose -66*j + 368 = -22*j - 908. Calculate the remainder when j is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**5\/60 + z**4\/12 - 2*z**3\/3 + 9*z**2. Let q be u(-4). Put q, -4, 5 in ascending order.\nAnswer: -4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1216876*h*l**5 + 2*h*l**2 + 35*h*l + 9*h - 224*l - 2 wrt l.\nAnswer: -24337520*h*l**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16112180.\nAnswer: 2, 5, 7, 41, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {b: 2, j: 1, z: 1, t: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 370 - 371.523. Let d = 0.72 + t. What is d rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -36*i - 491. Give o(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d + 4*d + d)*(3 - 8 - 2) + 0*d + 3*d + 0*d in the form i*d + p and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 514*r - 516*r + s + 5, 2*r + 4*s = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + y - 48 = 0, -2*y = l - 0*l - 50. Suppose 0 = -u + 4*w + l, -3*w = 7*u - 2*u - 253. Suppose -u*x = -51*x + 29. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 616 and 0.0953706.\nAnswer: 616.0953706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*-1)\/(sqrt(2) - (2*sqrt(22))\/sqrt(11)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*l - 1 = 0, 2*l + 9179 = -6*s + 9199 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:00 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7946 less than 7945?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 3648.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 301, 495, 719, 973?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 0)*(-23)\/((-161)\/4620). Let j = -1403 - w. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7790778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 14*f - 355. Let p be m(27). Let w(k) = -k**2 + 24*k - 17. What is w(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c - 13*c - 14*c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 7. Let n be b(-6). Let f be n\/(-76) - 27\/4. What is the least common multiple of 7 + -4 - 1*f and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109*((-10)\/(-10))\/(5\/5))\/1.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -30*o**2 - 25*o + 25. Let b(w) = 28*w**2 + 253*w + 5. Let u be b(-9). Let p(r) = -5*r**2 - 4*r + 4. Calculate u*l(g) + 25*p(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -y + 24, 2*y - 74 = -58. Let g(u) = -2*u - 7. Let f(x) = 6*x + 21. Let c(q) = -6*f(q) - 17*g(q). Let v be c(-5). Solve 0 = -v*t + w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1357*-19172.\nAnswer: 26016404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -7, 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1491*r - 378*r = -530*r + 55771 - 21268 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102429)\/1198)\/((-18)\/8).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/7 - 46*q**4\/7 + 44*q**3\/7.\nAnswer: 2*q**3*(q - 22)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:23 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q*q\/(q*q\/(q*q\/(q*q\/(q\/(q\/(q\/(q*q\/q**2*q))))*q))))\/q*q*q\/(q*q**(-1\/8))*((q*q\/(q**(5\/2)*q))\/q)\/q**(-2) assuming q is positive.\nAnswer: q**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.1 and -0.48118.\nAnswer: -1.491658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = h - 0*h + 434, -y - 217 = -5*h. Which is the third biggest value? (a) 3 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.3 + -58. Let y(u) = -u + 1. Let n(w) = w + 1. Let c be n(-4). Let b be y(c). Put p, b, -2 in descending order.\nAnswer: b, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*k - 1510*c*w**2 + k*w**2 + 2*k + w**2 + 17567 wrt c.\nAnswer: k - 1510*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 - 23 = 0. Let l(x) = -x**3 - 9*x**2 - 7*x + 8. Let z be l(q). Let o be (-3 - z) + (-5)\/(-1). Solve 9*d = 4*d + b + 16, -16 = -o*d - 2*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34221124.\nAnswer: 2, 7, 647, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**5 - 2*g + 6*g + 8*g**5 wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**2 - 2. Calculate q(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6898*w - 455248. Calculate g(-66).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 76*o**3 + 704*o**2 + 684*o - 6498.\nAnswer: 2*(o - 19)**2*(o - 3)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1669435245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.79 and 219151?\nAnswer: 219153.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -18. Let d(t) = -t - 4. What is d(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/6698 and 65\/2880534.\nAnswer: 48969078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/(-30) + ((-140)\/(-25) - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -636*g - 89. Determine o(-1).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 47 - 229. Let g(n) = n**3 + 13*n**2 - 2*n - 4. Does 22 divide g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-80)\/60 - 757\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - -80 - (2 + -5 - (-2 + 3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((-302)\/4)\/(18\/36). Let l = q + -116. Calculate the highest common divisor of 64 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -8. Suppose -w = 4*s - 10, 2*w - 5*w = -n*s. Let r(d) = 3*d**2. Suppose 7 = -7*g + 14*g. Let f(c) = -c**2 - c - 1. What is g*r(x) + s*f(x)?\nAnswer: x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 50 = 5*o - 0*o, 2*o - 19 = l. Let k(u) = 4*u + 2*u + 5 - 2*u**2 - 5*u**2 + u**3. Is k(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**2 - 7*l**2)*(2*l + l - l) + 10 - 10 + 9*l**3 + l**3 + 3*l**3 + 3*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -l - 3*v, -5*l - 36 = -2*v - 49. Solve 0 = -4*g - 4*y - 8, 9*g + l*y - 6 = 12*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -4 (d) 0.12 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 32*b**2 - 86*b + 778. Let x be l(30). Let w = -0.03 + -1.17. Is w at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(2\/241 - 0). Let d = a - 167. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g + 4 - 2*g**2 - 2*g - g**2 + 10*g**3 - 11*g**3. What is the units digit of f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.72 + -20.22. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1340 or -1337?\nAnswer: -1337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/2)\/(-2))\/(75\/25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*9\/1530*6\/(2\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8995 and 34207.\nAnswer: 307691965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/4 + 241*c**4\/4 + 675*c**3\/4 - 7185*c**2\/4 + 4981*c\/2 - 924 = 0 for c.\nAnswer: -77, -8, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -65710*d - 3022650. What is w(-46)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 726 - 722. Solve 0 = 2*n - 5*j - 24, -2*n + j + 4 = -x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-13 - (-16 + 20 + 0))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/2))**(-9)\/(j**(-28\/3))**28 assuming j is positive.\nAnswer: j**(1649\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9846?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 7*g**4\/12 + 55*g**2. Let f(j) = 4*j**2. Determine n(f(p)).\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/2 (b) -51\/10 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -37*l + 48. Let n(i) = -13*i + 16. Give -11*n(j) + 4*o(j).\nAnswer: -5*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 192*j**4 + 93*j**4 - 75*j**4 - j**4 + 0*j**4 - 3*j**4 + (-2*j**2 - 1 + 1)*(-2*j**2 + 4*j - 4*j) - 3 - 2*j**4 + 3.\nAnswer: 208*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*d**3*j**2 - 20*d**3*j + 34*d**3 + 9*d**2*j**2 - d**2*j - 5*d**2 - 16*d*j wrt d.\nAnswer: 372*j**2 - 120*j + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24680 + -15039. Let o = g + -89323. Let m = -168682 - o. What is m rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:59 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -550913\/76 + 7249. Let l = w + 2\/19. Let c = 0.1 - -0.3. Sort 0, l, c in increasing order.\nAnswer: 0, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347676860?\nAnswer: 2, 5, 17, 47, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -382*c**4 + 4*c**2 - 5 + 798*c**3 - 4*c**2 + 10 - 797*c**3 as w*c**3 + z*c**2 + a + f*c + i*c**4 and give i.\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1062556827*s**2 + 92865*s - 4891 wrt s?\nAnswer: -2125113654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a millennium?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q - 1 - 9*q + 2*q. Is o(-1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -57\/32?\nAnswer: -57\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*11\/5423)\/(28\/(-238)).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -792 divided by -8.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*h - 6, -426*h + 430*h = 3*o - 41 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 7*v + 24)*(-v + v - v) - 10*v**2 - 24*v**2 - 31*v**2.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -174 + 83. Let p = w - -91.3. What is the closest to -1\/5 in 0.5, -4, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -165 + 168. Solve -5*n - w = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of l**2\/2 + 3. Let d = -103 + 109. Give i(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/9, -1213 in increasing order.\nAnswer: -1213, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 164.5 + -164. Let o = -2.01 - -0.01. Which is the closest to 8? (a) o (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27119, 25198, 23275, 21350, 19423?\n\"Answer: -o**2 - 1918*o + 29038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p - 35 = -5*b, -3*b = -9. Solve -4*h - 16 = -p*l, 4*h + 0*l + l = -11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26190 divided by 3\nAnswer: 8730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/88*11)\/(-26 - (-1 + 0))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 37*l**7\/210 - 17*l**5\/60 + 15*l**2. What is the third derivative of f(y) wrt y?\nAnswer: 888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*u - 24, 5*x = 3*x + 4*u. Let c(y) = -y + 3. Determine c(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/2)\/(33\/(-6)). Let m = 52\/33 - o. Let z = 0 + 0.3. What is the closest to 4 in z, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01647644 less than -6810751?\nAnswer: -6810751.01647644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1597528 divided by -4.\nAnswer: 399382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b - 81. Let r be ((-2)\/6)\/(3\/b). Suppose 4*l - 41 = -r*d, l - 59 = 3*d - 7*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154\/897 - 2\/897. Let a = 18\/161 - w. Suppose 0 = 4*r + z + 6, 2*r = 6*r - 4*z - 4. Is a greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**2\/2 + 20. Let n(w) = -12*w. Suppose 4*v + 3*l = -32, 4*v - 3*v - 4*l = -8. Let h = -84 + 85. Determine h*n(z) + v*c(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8512 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-36))\/(((-57)\/12)\/(-19)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3301113)\/(-7445))\/((-142)\/(-140) - 1)?\nAnswer: 2, 3, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880580 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17471 + 17633. Calculate the greatest common factor of 306 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*p**2 + 0 + 8*p.\nAnswer: -2*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 - s**3 + 21*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28816027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 2:25 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 403872445 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + ((-5*sqrt(125)*4 - sqrt(125)) + -1)*2 + 4)**2.\nAnswer: -2520*sqrt(5) + 220531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8320.6134ms to hours.\nAnswer: 0.0023112815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/30 and -67\/133650.\nAnswer: 133650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/5 + 456*g**2\/5 - 1888*g\/5.\nAnswer: 4*g*(g - 4)*(g + 118)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18612 is divided by 324?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 17*y - 6. What is z(18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 11*h - 5. Suppose n = 5*n + 5*w - 53, 2*w = 10. What is the tens digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-4)\/((-16)\/(-12)). Suppose v*u = 4*o + u - 18, -4*u = 2*o + 16. Let m be 4 - 7 - (-12)\/o - -9. Calculate the greatest common divisor of 108 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-12) - (14 - 1). Let u(j) = j + 8. What is u(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 = 2*k - 5*k, -2*o - 8 = -k. Suppose k = 7*y - 16*y - 13014000. What is y rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321311 + 1442196?\nAnswer: 1763507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-420)\/456) + -7.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*a - 1 + 3, 4*p = -a + 6. Let b be (5 - -1079)\/2*(p - 1). Let h = b + -351. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**4 - 486*c**3 + 410*c**2 + 704827*c - 8 wrt c?\nAnswer: -24*c**2 - 2916*c + 820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 - 6*r + 3. Suppose 228 = -220*i + 226*i. Suppose i*y = 34*y + 24. What is g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - k = 6, -6 = -5*d + 4*k + 4. Suppose -i - 5*i + 12 = 0. Suppose l + 6 = -4*c - 4, 5*c = -i*l - 8. Solve -l = d*q + q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 11:56 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -51. Is (o\/(-18))\/((-2)\/1256) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let m(c) be the first derivative of 0*c + 17\/2*c**2 - 72. Determine z(m(r)).\nAnswer: -578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67? (a) -3\/4 (b) 0.3 (c) 1492 (d) -3 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -38, -39, -40, -41?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**4\/12 - w**3 - 7*w**2 + 14*w. Let o be c(8). Solve -12 = y + o*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77429.8 + 977.063.\nAnswer: -76452.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 114*g - 262 - 98. Solve 7 = -2*l - b, l + 4 = 2*b - g*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2439996?\nAnswer: -2439992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - t + 166, 7*d - 4*d + 4*t = 118. Let i(n) = 25*n - 6 + 18*n - d*n. Let w(r) = -1. What is i(z) - 4*w(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/5)\/(2\/15). Let g be 6\/8*(14 + (-129)\/9). Is g less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-30))\/(212\/5830))\/((-2)\/12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-30)*6*(-20)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = -5*b + 11, 5*c = -2*b + 16. Suppose -38 + 124 = c*h. Suppose -7*i = -314 - h. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.6 + -14.75. Let t = u - -0.65. What is the second smallest value in 1\/9, t, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36, -0.1, 3\/5, -5\/2, -3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**2\/2 + 5*t - 13. What is the first derivative of u(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**6\/60 + 2*l**3\/3 - l**2\/2 + 4*l. Let t(x) be the first derivative of g(x). Differentiate t(o) with respect to o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41227 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -7. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-53)\/(-3) + (-2)\/(-6). Let d be 4\/18 + (-137)\/9. Let u be j\/d*(-3)\/(-9). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -167?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/6 - 4\/12. Let n = 27 + -26. Sort o, n, 0.4 in ascending order.\nAnswer: 0.4, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*x + 18, 7 = -5*g - 4*x + 1. Suppose -g*m = 3*q - 73, q = 3*q + 5*m - 45. What is the remainder when 74 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8\/5)\/m*m*m**2 assuming m is positive.\nAnswer: m**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -4\/107?\nAnswer: -4\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1261, -2525, -3785, -5041, -6293, -7541, -8785?\nAnswer: -10025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 433693 - -0.289?\nAnswer: 433693.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 12*v**2 + 11. Calculate the remainder when z(12) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 7:38 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8858?\nAnswer: 2, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12140 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -62. Suppose -66 = -3*u + 3*d, -4*d + 66 = 3*u - d. Suppose 2*q = -2*a + 4*a + u, 5*a = 3*q - 57. What is the second biggest value in a, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 21?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-4)*-22*50*4\/(-1540)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66516611*a**6 - a**4 - 495726*a**2 - 15 wrt a?\nAnswer: 7981993320*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -487 - -484. Let l(s) = s**3 + 2*s**2 + s + 1. Calculate l(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 17, -308, 5, 1 in descending order.\nAnswer: 17, 5, 1, -1, -3, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -1\/3*t**2 - 3 + 0*t - 1\/12*t**4 - 1\/3*t**3. Factor j(a).\nAnswer: -a*(a + 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -273869030 to the nearest one million.\nAnswer: -274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(110\/170) - (-30 - -45). Factor -3\/4*l**4 + l + 3*l**h - 1\/4*l**3 + 0.\nAnswer: -l*(l - 2)*(l + 2)*(3*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*a - 26. Suppose 0 = 3*x - 26 - a. Is 14 a factor of 700\/22 - (-2)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000175127 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -14. Let c be (2 - (-22)\/(-10))\/(3\/(-195)). Solve -2*b = -0*b + 3*n + c, -2*n - d = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9908 divided by -17047.\nAnswer: -9908\/17047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 + 15*h**3 + 5*h**3 + h**2 - h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i - 56. Let o = -26 - i. Solve -16 = -2*k - o*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16420 greater than 16419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7519*y**2 - 2*y**3 + 7519*y**2 - 4*y - 402 to l*y**2 + v + b*y + s*y**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 9:49 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 34, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*r - 9, 3*p + 4*r + 9 = r. What is the fourth biggest value in -1, -2\/5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 10 + j - 2*j.\nAnswer: j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14906119 by -4.\nAnswer: 14906119\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.807, -2, 2\/49 in decreasing order.\nAnswer: 2\/49, -0.3, -0.807, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - s - 11. Let u be i(-4). What is the third derivative of -7*g**2 - 10 - 4*g**2 + 51*g**3 + u*g**2 wrt g?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -14*r - 62 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7555344 or 10?\nAnswer: 7555344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22203111011 (base 4) to base 13\nAnswer: -75b099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 15 = 2*s. Suppose -s = -3*m + 28. Suppose -2*p + 4*a = -4*p + m, 2*p - 3*a - 15 = 0. Solve -4*h - 1 + p = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97 and 39560092.\nAnswer: 39560092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1 = -21. Let k = 4.1 - 17.1. Let g = k + 13.2. Which is the smallest value? (a) u (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 4*s - 5, -2*t + 4*t + 2 = 2*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713910?\nAnswer: 2, 3, 5, 53, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 34*n + 541. Calculate j(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 5*g + 2*m + 152, 3*g + 120 = 5*m. Let v be 2 + 28*3\/g. What is the second smallest value in 1\/7, v, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20815 - -10?\nAnswer: -20805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(51)\/sqrt(3) - sqrt(17))*1 - (sqrt(272) + -1)))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 23*i = -57315 + 11615. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100930, -201853, -302776, -403699, -504622?\nAnswer: -605545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*x**3 - 14*x**3 - 15*x**3 + (-2*x - 4*x + 0*x)*(2*x**2 + 2*x**2 - 2*x**2).\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -809, -6310, -21163, -50030, -97573?\n\"Answer: -777*x**3 - 14*x**2 - 20*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 149?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 - 48\/45. Let j(i) = -i**3 - 11*i**2 - 24*i - 57. Let l be j(-9). Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1412 + 1419. Let z(s) = -17*s + 2. Let y be z(-5). Suppose -5*c = 2*p - y, c - q + 148 = 4*p. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (0 + (-15 - (1 - 5))). Solve -4*c + l = -0*c - 5*h, 0 = -c - h - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6717 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15 + 3)\/(-3) + -1. Suppose 41 = -4*m + a - 46, 0 = -2*m + n*a - 51. Find the common denominator of -81\/8 and (m\/(-35))\/(4\/46).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = -3*b, 3*a + 3 = -3*b - 9. Let y(o) be the second derivative of -1\/12*o**4 - 5\/6*o**3 + 0 - 2*o**2 + 2*o. Calculate y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/1 - 0)*-6. Suppose -3*f = k, 0*f - f + 7 = q. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + 940*t**4 - 6449*t**4 - 4*t + (-4 + 2 + 3)*(-3*t**4 + t**4 + t**4) - t + t + 4*t**4 to l*t**3 + i*t**2 + r*t**4 + d + y*t and give r.\nAnswer: -5506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/3 - 910*h**2\/3 - 120304*h\/3 - 3649496\/3 = 0.\nAnswer: -206, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 0 + sqrt(2736))*5 + 4 + sqrt(2736) + sqrt(2736)*2 - (-1*sqrt(190)*-5)\/(sqrt(30)\/sqrt(3)*-4))**2*5.\nAnswer: 6290*sqrt(19) + 37587175\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Let w(u) = u**2 - u + 14. What is the remainder when 26 is divided by w(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*r + 4, -45*y + 6 = 3*r - 36*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -0.21.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 1416 + 1492 = 4*k, -5*s + 43 = -3*k + 4*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 37 = 13. What is the second derivative of -36*y**4 + 3*y + 2 - 2 + 16*y**o wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f*o**2 - 1336*f*o + f + 38480799*o**2 - 326*o - 87 wrt o.\nAnswer: -22*f + 76961598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004213 (base 6) in base 10?\nAnswer: -47601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 95*i**2 - 12*i - 12. What is the remainder when 255 is divided by c(-1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u - 1355 - 1561 + 826 = 0 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246667300 rounded to the nearest one million?\nAnswer: 2247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - 4*o**3 + 5*o + 11*o**4 - 9*o**4 as i*o + f + c*o**3 + d*o**2 + x*o**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p + 6. Let y(m) = 1. Let j(z) = g(z) - 6*y(z). Let c(v) = 2*v. Calculate c(j(t)).\nAnswer: -28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -8. Let b = v + 39. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, k: 3, h: 4, t: 2, v: 2, r: 6}. Give prob of picking 2 r, 1 t, and 1 v.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.069 + -0.031. Let h = q + 4. Let i = -0.17 - 1.83. What is the smallest value in i, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*r + 30*r. Suppose -3*g = -3*z + 81, -156 = -5*z - r*z - 2*g. Let h = 57 - z. Calculate the smallest common multiple of h and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 0 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, q: 3}. What is prob of picking 1 c and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + 5 + -2 - (19 + 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11386*a*h**2 - 4*a*h*r**3 - 207*h**2*r**3 - 201*h*r**3 wrt a.\nAnswer: 11386*h**2 - 4*h*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.029050689 - 2\nAnswer: -1.970949311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178601977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520 by -241.\nAnswer: 520\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 20*d**3 + 52)*(2*d + 4*d - 5*d + (4 + 3 - 3)*(-3*d + 3*d + 6*d)).\nAnswer: -500*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -411241 (base 6) in base 12?\nAnswer: -16b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.11 + 355922?\nAnswer: 355909.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = 40*h - 4232. Let b(c) = -12*c**2 + h - 529. Let p(l) = 23*l**2. Determine p(b(g)).\nAnswer: 3312*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -3.14.\nAnswer: -2.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75, 170, 289, 432, 599, 790, 1005?\n\"Answer: 12*k**2 + 59*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 2:50 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 + 190*j**2 - 1189*j + 74. What is g(6)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282605.\nAnswer: 5, 29, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 45 = 6*m. Find the common denominator of m\/5 + (3 - (-39)\/(-12)) and -97\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43152255 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m**4 - 1304*m**2 - 37*m + 1289*m**2 - 10*m wrt m?\nAnswer: -48*m**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**5\/24 - z**4\/6 - 2*z**3\/3 + 3. Let q(t) be the third derivative of g(t). Let m(b) = -4*b + 3. Calculate 3*m(r) + 2*q(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, n: 2, l: 1, p: 1, w: 2}. What is prob of sequence wpu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53328 is divided by 6734?\nAnswer: 6190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16377 (base 9) to base 15\nAnswer: 34ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1651 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55701.19l to millilitres.\nAnswer: 55701190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/84*(9\/12)\/1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -19. Let r be 3735 - ((-9)\/12 + 2)\/(18\/(-72)). Suppose 0 = -c*w + r + 3600. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 303\/((-35)\/(-5) + -6). Let r = u - 302. Calculate the smallest common multiple of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*z - 14, b = -20*z + 21*z - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 251077 smaller than -0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 4*r - g, -4*g = -r + 4*r - 99. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 5, 207, 0.7907?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2355 (base 6) to base 12\nAnswer: -3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:17 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 18 - 39 - 5*o**2 + 21.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*y - 5, 3*y = 3*s - 527868. Let n = -49082 + s. Let w = n + -68871. Round w to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -197141, -197130, -197131, -197150, -197193?\n\"Answer: -r**3 + 18*r - 197158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*-2 - sqrt(7)) + -2)*-3 + -1*sqrt(7) + -5 + -2*sqrt(7)*-3.\nAnswer: 1 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 26562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768802139 to the power of 1\/2, to the nearest integer?\nAnswer: 42057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -7. Solve 3 = -u, -4*m + 2*u - t = -2*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*q**4 + 5895*q**3 - 612129*q**2 + 21525661*q - 26225448.\nAnswer: -(q - 103)**3*(19*q - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2102 + 1033. Is b\/12 + (-6)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 7857?\nAnswer: 1571.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(490522 - 2*s + 4*s - 489766) in the form d*s + r and give r.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71800222115 less than 0.044?\nAnswer: 0.76200222115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2283 (b) -5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8407 divided by 3.\nAnswer: 8407\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u. Let h(s) = -3*s - 30*s + 14*s + 11*s - 18*s. What is -6*h(b) + 13*t(b)?\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (96 - (-12)\/3)*1. Round m to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = -0*f. Let t(d) be the first derivative of 0*d + 0*d**4 - d**2 - f - 1\/6*d**6 + 0*d**5 + 0*d**3. What is the second derivative of t(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6313 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxk when three letters picked without replacement from xxxxxxxxxxxxxkxkxxx.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 + 2*v**3)*(11 + 16 - 7).\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 20*x + 19\/2*x**2 + 0*x**3 + 0*x**4 + 0 + 7\/30*x**6 + 0*x**5. Differentiate o(p) with respect to p.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33.307 + 33.507. Let p be 13\/(-21) - (-2)\/6. Let f(d) = d**2 + 7*d - 8. Let h be f(-8). Put p, v, h in ascending order.\nAnswer: p, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3601 + 3602. Is o >= 3\/316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 4. Suppose 0 = -6*t - 57 + 21. Give z(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 228 = 36*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0*f**2 + f**2 + 10*f**2. Let s be a(-1). Let l(j) = -7*j - s*j + 23*j. Let u(p) = p. Determine u(l(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*l - 148*l = -5*s + 20370, 3*s + 4*l - 12233 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/451 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*a**2*i**3 + 23*a**2*i - 56*a*i**4 - 9*a*i**2 - i wrt i.\nAnswer: -84*a**2 - 1344*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -17. Suppose 3*m = n + u, n = -2*m - 4*n - 4. Let r be m*((-50)\/(-3))\/5. Solve r = o - 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -9) + (-3 - (0 + 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**10\/1260 + g**6\/120 + g**3\/3 + g**2. Let n(p) be the first derivative of b(p). Find the third derivative of n(q) wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -278*(2\/(-1) + (-6)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -23*a + 4. What is the remainder when i(-2) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.585326 * -0.13\nAnswer: -2.54609238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z - 22*z + 104. Find the common denominator of z\/5*(-45)\/81 and -55\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1006 - -429. Round r to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 + 193*u**2 + 1535*u - 1734. Let t(p) = 15*p**3 + 483*p**2 + 3837*p - 4335. Let k(d) = 12*c(d) - 5*t(d). Factor k(a).\nAnswer: -3*(a - 1)*(a + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1\/18, 5\/4 in ascending order.\nAnswer: -5, -4, 1\/18, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 8*j**2 - 12*j + 4. Let f be k(-6). Solve 5*r + f + 0 = -2*m, 2*m - 4 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -4*s**5\/5 + 6*s - 6. Differentiate t(h) wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*n - 345*n - 14 = y, 5*y + 35 = 3*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b**2 + 15*b**2 - 8*b**2 - 13 + b. Let j be (-2)\/(-3) + 20*4\/(-12). Is u(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i + 106. Calculate r(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 15 = -3*u, -2*u - 3*p + 10 = p. Solve 16*w - 18*w + 3*x + u = 0, 4*w - 5*x - 11 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 34. Let n(i) be the first derivative of k - 24*i**2 + 25*i**2 - 20. Let d(w) = 30*w**2. Give d(n(t)).\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54047573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7834.594ug?\nAnswer: 7834594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {f: 1, t: 6, g: 2, c: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211140 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -9 (b) 5 (c) -1\/2 (d) 2\/3 (e) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6192797 or -6192675?\nAnswer: -6192675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/4, -2.3, -0.5, 1 in descending order.\nAnswer: 3, 1, -1\/4, -0.5, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396523595.\nAnswer: 5, 13, 659, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 92 = -5*y - 0*w, -3*w = 3*y - 48. Which is greater: 22 or y?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90\/271 - -37663\/4878. Calculate the common denominator of 91\/36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5999*m = -4382*m + 1328768 for m.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/20 + i**4\/2 + i**3\/2 - i**2\/2 + i. What are the prime factors of z(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q**2 + 0)*(28*q + 35*q - 47*q)*(-19 - 14*q + 19).\nAnswer: 448*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j + 2*d = -49*j - 1, -2*j - 2*d = -8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6496328l in millilitres?\nAnswer: 649.6328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x - 10*x + 14*x - 4 - 4 to the form f + k*x and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 2204*l - 607202.\nAnswer: -2*(l + 551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -372, -373, -374, -375?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 2856620?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4045 + 7*d - 3982 - 11*d to n*d + u and give u.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10284181?\nAnswer: 43, 239167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.0994? (a) 0.141 (b) 2 (c) 2\/13 (d) -0.4 (e) 5\/2 (f) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1840392, 7361645, 16563732, 29446653, 46010408, 66254997?\nAnswer: 90180420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-1\/16)\/(u\/(u*u**(-5))*u**(2\/11)))**(-1\/11) assuming u is positive.\nAnswer: u**(923\/1936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgwhwgytwwfhf. Give prob of picking 1 h and 2 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 5*z - z)*(0*z**3 + 2*z**3 - 3*z**3) - 60*z**3 + 295*z**4 - 296*z**4 - 116*z**3 to the form v*z + p*z**3 + g*z**2 + d + j*z**4 and give p.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129178695323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3552 is divided by 896?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21220210001 (base 4) in base 3?\nAnswer: -11202022020212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164.9558 millilitres to litres.\nAnswer: 0.1649558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115\/33 - 42\/11. Which is the closest to 0.1? (a) 1 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/5, 2, 1\/3, -171169, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*r + 7 + 5, 5*o + 20 = 5*r. Let y(t) be the third derivative of -t**6\/30 - t**5\/30 + t**4\/24 - 2*t**2 - 15. Give y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 2.\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*a - 4*z - 11, 5*z = 3*a - 34. Let r(s) = 7*s - 37. What is the remainder when 169 is divided by r(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15514448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/66 and -34\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 3134125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/4 + -33\/20. Which is the nearest to 0.1? (a) -2\/9 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2562*t - 609834. Give r(-238).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(-35) + 5555\/1050 and 12\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641.699g to milligrams.\nAnswer: 641699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.907987ms in microseconds?\nAnswer: 2907.987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369483694 a multiple of 5190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let g = f - 3. Suppose g = -q + 3*q - 2. Which is greater: 1\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 20*a**2 + 3*a + 3. Determine h(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 14. Suppose 72 = -2*x + 14*x. Suppose 3*v = 2*k - 15, 3 = -x*v + 3*v. What is c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 13*s - 2*s**2 - 1\/12*s**4 + 0 - 5\/6*s**3. Give g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rihrhjrhmhrh. What is prob of picking 1 h, 1 m, and 2 r?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:27 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 divided by -289444?\nAnswer: -143\/72361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(147)\/sqrt(3))\/((3*sqrt(7) + sqrt(7))*-1).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/6347 and 10\/17.\nAnswer: 107899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -3\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**3 + a**2 - 235. Let c(p) = 4*p**2 + 2*p + 1. Let j be c(-1). Determine x(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 7*t - 2. Suppose 0 = 4*z - 3*f + 6 + 4, 3*z + 5*f = t. Let q be (0 - 2 - -4) + 3. Which is the closest to z? (a) -5 (b) q (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -130.73. Let l = -0.1 + 0.13. Let k = l + q. What is the closest to -0.2 in -2, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*1 + 10\/(-5). Let x be j + (19 - 4\/4). Solve 4*c - 3*b = 2*c - 5, -4*c - 3*b - x = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 178.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h*h**(-6))*h*h)\/h**(-9))\/(h**(-10)*h\/(h\/(h**6\/h*h))))**(-12))**25 assuming h is positive.\nAnswer: h**(-6600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 4. Let j be u(-3). Let a = -3 - j. Solve 10 = -7*w + a*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -17. Do 1 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngr when three letters picked without replacement from zgnnvro?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (12\/(-5) - (-18)\/(-30)). Suppose -5*l + 3*h + 19 = q, 5*l - 8*l + 25 = 5*h. Which is the nearest to -1? (a) -3 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let d(t) = 0*t + t - t + 23*t**2. Give d(z(j)).\nAnswer: 23*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - o + 1. Let n(w) = 15*w**2 + 9*w. Let d(j) = -9*k(j) - n(j). Differentiate d(t) with respect to t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*q**2*r**3*y + 13*q**2*r*y + 2*q*r*y + 9*q*y**2 + 55*r**3*y**2 - 2*r**2 wrt r.\nAnswer: 54*q**2*y + 330*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11 + 10 = 0. Let w = o - -29. Solve h = -h - w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12568835 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -2\/3*t**3 + 4*t**2 + 1\/20*t**5 + 0 + 5*t + 2\/3*t**4. Is 8 a factor of g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 c when four letters picked without replacement from zczzzzczz.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**3 + 4*q**2 - 5*q + 5. Suppose -13*p = 64 - 311. Suppose -7*g - 12*g = p. Let i(b) = b**3 - b**2 + b - 1. Calculate g*a(m) - 5*i(m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5558 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.072938*-17.72.\nAnswer: 1.29246136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59428 * 7.\nAnswer: -4.15996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3193*g + 140*g**2 + 1625*g + 1568*g.\nAnswer: 140*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -d + 2*p, -d - 4*d - 2*p = -72. Is ((-57)\/(-6))\/1*d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/287940 and 113\/172764.\nAnswer: 863820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (343\/98)\/(28\/6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-194)\/4753)\/((-9)\/(-21))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-1))\/((-20)\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/4081580 and -37\/11224345?\nAnswer: 44897380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + l - 3*l**3 - 9*l**3 to i*l + c + g*l**3 + d*l**2 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let s be (-5 - -9)\/((-25)\/(-10)). Let o be (-462)\/(-55) - 13 - 5\/(-1). Solve -s*l**2 + 0 + 6\/5*l + o*l**3 = 0 for l.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -4 - 2 - 3. Find the third derivative of -5*i**k + 2*i**2 + 3*i**3 + i - i wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(((-22)\/(-2))\/(-198)*-18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*c = 691*c - 3*s - 19, -44 = -2*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 670.9141682 to the nearest ten.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zevtvne. What is prob of picking 1 z and 1 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 13*d**2 + 15*d + 4. Suppose 17*y - 120 = 7*y. What are the prime factors of j(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279630 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (63\/(-28) - -3) + (-85)\/(-4). Calculate the highest common divisor of c and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 27 = p - 3*o + 7, -4*o = 76 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21\/2*c**4 - 90 - 444*c - 975\/2*c**2 - 123*c**3 = 0 for c.\nAnswer: -2, -1, -2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:37 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*o + 772*o - 1489*o.\nAnswer: -158*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**3 + 5*r**2. Let p(u) = -2*u**3 + 11*u**3 + u**3 - 3*u**2 + 10*u**2. Determine 7*b(m) - 5*p(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4709 divided by -277\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2546 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2998)\/(-119920) - 3282\/80.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19064544 from 154885.1.\nAnswer: -18909658.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 19. Let c(b) = -3*b**2 + 251*b - 499. Let v be c(2). Let z(w) = -w + 9. Give v*z(f) + 4*s(f).\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 23\/120*g**6 + 0 - 4*g**2 - 1\/60*g**5 + 0*g - 1\/24*g**4 + 1\/6*g**3. What are the prime factors of y(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g + 426. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*t + 620 = -8337 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2 + 14*p - 1. Let h(n) = 28*n**2 + 43*n - 2. Give -4*h(t) + 11*s(t).\nAnswer: -2*t**2 - 18*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 * 26.\nAnswer: 1.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 + 1. Let s = -4 + 0. Let w(l) = -5*l**3 - 10*l**2 + 8*l + 11. Let b(i) = s*j(i) + w(i). Let u be b(-7). Is u bigger than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3210*d - 1027173. Calculate n(-320).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3. Let t be 200\/(-52) - -4 - (-18)\/52. Let b(a) be the first derivative of -a + t*a**2 + 4. Give b(l) + m(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(76) + sqrt(76)*5*1)\/(sqrt(12)\/(sqrt(12)\/sqrt(4))))**2.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*u + 11, -2*u - 76 = 4*h. Let c = -91 + 141. Let b = c + h. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -21. Let z = -1 + -2. Let f = z - -3. Solve 5*i = 5, f = -5*m - i - 0*i - v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758524007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5992)\/260652 + (-734)\/5916\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1614*t**3 + 31*t**2 - 4*t - 7366833?\nAnswer: -4842*t**2 + 62*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/(-4) - 11\/22. Let d = s - -4. Let l = 84 + -43. What is the remainder when l is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**4 - 4*x**2 - 5*x - 4. Let n = -6 + 2. Let d(r) = r**2 + r + 1. Let b(t) = n*d(t) - u(t). Find the second derivative of b(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1619.7 and 0.1.\nAnswer: 161.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/17 - 12*k**4\/17 + 38*k**3\/17 + 40*k**2\/17 - 72*k\/17 - 64\/17 = 0. What is k?\nAnswer: -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/4 - (-1)\/2. Which is greater: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 9*k**2 - 46*k + 35. Let c(w) = 5*w**2 - 25*w + 18. What is -9*c(r) + 5*m(r)?\nAnswer: -5*r**3 - 5*r + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-8) + (-10)\/(-40). Suppose 0 = -x*b + 4*q + 28, 0*b - 3*q = 4*b + 7. Let -70\/3*i**4 - 8*i**5 - 4\/3*i + 0 - 10*i**b - 24*i**3 = 0. What is i?\nAnswer: -1, -2\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.890682 times 0.5\nAnswer: -2.945341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1507 - 1507 + x. Let c(b) = -55*b**2 - 2*b. Determine c(l(j)).\nAnswer: -55*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d85 + 3?\nAnswer: -d82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a9bda + 5?\nAnswer: -2a9bd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*i - 13959, 7471 - 523 = 2*i - 4*b. Calculate the highest common factor of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -322.1 + 406.63. Let n = f - 85. Let w = 0.471 + n. Round w to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 10*b - 35. Let w(n) = 3*n - 10. Let h(o) = -4*p(o) + 14*w(o). Let y(c) = 1219*c**2. Determine y(h(a)).\nAnswer: 4876*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.3 - -30. What is b rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*o + 423 + 2179, 3*o = -4*j + 10510. What is the greatest common divisor of 64 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -13 (c) -17 (d) 0.2001 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139733?\nAnswer: 11, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*p - 43151. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) 5 (c) 41\/27655\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (-4 - 11 - 11).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let w be 8\/(-6)*9\/6. Let c be a(w). Let s(t) = -c*t - 38 + 38. Let k(y) = -3*y**2. Give s(k(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**3 - 23*x**3 + 53*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, -5\/3, 0.4 in decreasing order.\nAnswer: 1, 1\/2, 0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + q - 1136 = 0. List the prime factors of q.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 8*s**2 + 7*s + 37. Let t be m(6). Suppose 35 - 70 = -t*w. Solve -r + o = r - 6, 0 = w*o - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2. Let c = 3 + -4. Let p = 2 + c. Let a(b) = b + 1 - p. What is m(a(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by -26970741.\nAnswer: 37\/26970741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y**2 - 4*y - 7. Let n(u) = 35*u**2 - 9*u - 15. Give 4*n(d) - 9*v(d).\nAnswer: -13*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:34 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316072?\nAnswer: 2, 17, 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 40 = 4*f, 11*k - 80 = -5*f + 12*k. Solve -f*s = -33*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:53 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 12*a**3 - 7*a**3 + 3*a**2 + 2 - a**4 + 20*a**3 = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 49.72?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -80*t - 75. Let x be p(-1). Solve 0 = 5*g - 10*g - 3*j - 25, -g + x*j = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2088628 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*d + 197*d = -4*g + 41, 3*d - 3*g + 24 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1716149*s**2 + 2527961 wrt s?\nAnswer: 3432298*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2) - (-14)\/(-2). Suppose k - 2 + 50 = 0. Let i be h*(32\/k)\/((-4)\/(-9)). Solve 4*o + i = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 9. Let n be h(-10). Let d(c) = -3*c + 1. Calculate d(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -12*a - 8. Let z be j(-1). Suppose 4*s + 294 = f, 1148 = z*f - 3*s + s. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73404365447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.5. Let q = -4 + -9. Let v = 10 + q. What is the nearest to 0 in 0, v, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2722*q + 27254 - 27254 to p*q + r and give p.\nAnswer: -2722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1094*n - 7 = 1095*n, -2*n - 14 = 3*a. What is the closest to 2\/3 in a, -1\/28, -2\/5, 12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7eb1e - 7b?\nAnswer: -7eb9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -4062.5?\nAnswer: 16250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb8 (base 15) to base 14.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, 24, 93, 232, 465, 816, 1309, 1968?\n\"Answer: 4*t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -614, -1989, -4672, -9101, -15714?\nAnswer: -24949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -127, -184, -237, -286, -331?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 212 + 1152 = 0. Suppose 231 = 5*w + 4*y, 28 - 12 = 4*y. Calculate the remainder when z is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -747*f**2 - 1 - 753*f**2 + 1520*f**2. Let r(c) = 7*c. What is b(r(u))?\nAnswer: 980*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:17 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/9)*l**16 assuming l is positive.\nAnswer: l**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 71788667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - -0.1. Let w = s + -0.09. Let i = w + 0.04. What is the closest to i in 0, 3\/7, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*v - 108*v - 113*v as b*v + n and give b.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 - 2809368*q**4 - 657712379943*q**3 + 8428098*q**2 + 1973131521120*q - 1315424759904 = 0. What is q?\nAnswer: -468228, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39\/2 - -113\/6. Which is the biggest value? (a) -4 (b) r (c) 1\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-21)\/84)\/(2\/(-8)))\/1. Let o = -12 - -91. Suppose r + 3*h - o = 0, -h = 5 - v. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. Let x = l + -6.1. Let y = -8.1 + 18.1. Which is bigger: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.141893 (b) -2 (c) 3\/16 (d) -5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 2*p**2 + p - 3. Let f be l(-3). Let r(g) = g**3 - 8*g**2 + g + 5. Let h be r(8). Let m = h + -9. Solve 3 = m*a - f*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(36)\/(sqrt(18)\/sqrt(3))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 55200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 124, 254, 436?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, -0.2, -241?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6573 - 6573.187. Which is the third biggest value? (a) 0.12 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3305222 (base 6) to base 9.\nAnswer: 270535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 651645?\nAnswer: -651650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = -0*u. Suppose 2*q = -0*q + 5*v, -u*v = q. Suppose -3*k - 2 - 10 = q. Which is greater: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31940000 rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x - 17. List the prime factors of v(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -375\/28 + 53\/4. Let y = -0.1 + 0.3. Which is the third biggest value? (a) y (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**3 + 3*b**2 - 4*b - 3. Let c(d) = -13*d**3 + 5*d**2 - 7*d - 5. What is -4*c(l) + 7*g(l)?\nAnswer: 10*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 0.08, 144, -3\/4 in ascending order.\nAnswer: -41, -3\/4, 0.08, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 13*j**2 + j - 8. Let k(d) = -3*d**3 + 38*d**2 + 4*d - 23. Let c(y) = -6*k(y) + 17*t(y). Does 10 divide c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 18. Let x be (-92)\/(-24) - 1\/(-6). Suppose -p - 4*q + q - x = 0, -5*p + 3*q + 52 = 0. What is the remainder when a is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361, -1437, -3229, -5737, -8961, -12901, -17557?\nAnswer: -22929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100488159?\nAnswer: 139, 7917181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32185 and 85565?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883*a + 944*a - 32017 = -3415*a - 565 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, w: 1, r: 3, g: 1}. Give prob of picking 1 w, 1 g, and 2 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 16 - 28 = 0. Solve -5*w + 17 = -s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -59.226.\nAnswer: 11.8452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182017385?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 142 = -2. What are the prime factors of ((-12)\/9)\/(3\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -2, 118, 366, 784, 1414?\nAnswer: 2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 7. Let p be 41 + (a - 0\/(-4)). Calculate the greatest common divisor of p and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 - -205. What is the highest common divisor of y and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 0*y + 4*b - 7*b + 28 = 0, 144 = 14*y + 5*b - 6*b for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12755*b + 1454057. Calculate s(114).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/60*190\/228. Let v be 1\/4 - (-17)\/(-612). Let s = -4.02 + 0.02. Which is the nearest to s? (a) z (b) v (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 28. Let v be u(0). Let i = v + 40. Calculate the highest common divisor of 170 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c**2 + 11*c + 3. Determine v(3).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*n - 3, u + 4*n - 21 = 0. Let f = -74 + 80. Calculate the remainder when u is divided by (-19)\/(-2) - (-7 + 4)\/f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b. Suppose -y + b*y = -1. Solve -y + 7 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3046 is divided by 590.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1236480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 587776 = -440499. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r. Let b(m) = -33072*m**2 - 1030*m. What is b(p(z))?\nAnswer: -826800*z**2 + 5150*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.5. Let n = m - 0.2. Let y = 15 + -15.1. Which is the nearest to y? (a) 2 (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b58c (base 14) to base 4\nAnswer: -13220320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 542 + -323. Let p = -221.14 + f. Round p to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 7 + 7)*(3 - 3 + 2*v) - 2*v + 3*v + 2 + v to n*v + b and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*p**3\/9 - 7280*p**2\/9 + 5896*p\/3 - 1184.\nAnswer: -2*(p + 148)*(5*p - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - (17 + -8 - 25).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10792*g + 225278 = -1239*g - 6289*g + 793198 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/120 + j**5\/10 - j**4\/3 - 2*j**3\/3 - 2*j**2. Let r be k(-7). Which is the nearest to -2\/5? (a) -0.1 (b) -3\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1403 + -1386. Let y(j) = -j**3 - 6*j**2 - 9*j - 5. What is the remainder when y(-6) is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853640 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**4 - 6*g**3 + 16*g**2 - 7*g. Let i(l) = l**4 - l**2 + l. Let f(s) = -5*i(s) + t(s). Factor f(b).\nAnswer: -3*b*(b - 1)**2*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*z + 3*z. Let v = 8 + z. Solve -v*h + 0 = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b - 9. Let s(w) = 4*w - 4. Let m(h) = -6*o(h) + 14*s(h). Let d be m(-4). Let y(f) = -f**3 - 11*f**2 - 11*f - 3. What is the units digit of y(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9921259575 rounded to five decimal places?\nAnswer: -0.99213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1923326 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 - 5*d**2 - 5*d. Let i(b) = -b**3 + b**2 + b. Let p be ((-1)\/(-2))\/(2\/(-8)). Let n = p + 3. Calculate n*u(x) + 5*i(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -33\/13, -6\/11, 9, 36.\nAnswer: -33\/13, -6\/11, 0, 9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128184, -127274, -124780, -119910, -111872?\nAnswer: -99874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 35 = -u, -5*u + 103 = -0*s + 2*s. Suppose -4*o + 94 = 3*y, 2*o + u = 2*y - 39. Calculate the remainder when 22 is divided by (y\/35)\/(1\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 6, a: 4, m: 1, e: 4, g: 2}. Give prob of picking 2 e and 1 m.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -7, 15 in descending order.\nAnswer: 15, 5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 0*i**2 - 3*i**2 - 1 - i + 0*i**2. Let c be k(3). Let n(h) = 27*h - 1. Let p be n(c). Round p to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.160411955 * -4.\nAnswer: 0.64164782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27612822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 72034963 divided by 11\nAnswer: 6548633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -27*g**2 - 27*g + 22. Let a be r(10). Let o = a - -4389. List the prime factors of o.\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10740?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 31 + 2 = 2*c, 3*a - 36 = 3*c. Let g = -12 - c. Solve -g = 3*p + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-504)\/(-8)*(2 - 1). Let w be ((-3)\/(-2))\/(p\/28). Which is the nearest to w? (a) 4\/13 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*k = 0, c + 3*k + 2*k = -22. Let t = 6 - c. Suppose -4*s + 83 = 3*y, 0 = -y - 3*y - 3*s + 99. Calculate the highest common divisor of y and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 20 = 0, -56*h - 42 = -60*h - 3*z - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 147343, 147342, 147341, 147340, 147339, 147338?\n\"Answer: -c + 147344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*r + 439, 0 = -4*h + 9*h - r - 1089. Let b = -105 + h. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 8*r + 15, 5*r - 41 = -2*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 148744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**3 + 9*j**3 - 28*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-126)\/(-28))*(-6)\/8.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52951, -105950, -158959, -211984, -265031, -318106, -371215, -424364?\nAnswer: -477559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 40, 70, 108, 154, 208, 270?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6393 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + 2 - 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108.2388 + 2.4488. Round p to the nearest integer.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/19005 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(24\/66) + (2\/1 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - (-10 - -5)) + -3 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 + -94. Is i != 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1\/(-1 - (-5 - -5))). Sort 1, 3, -4, m.\nAnswer: -4, m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408333 divided by -3.\nAnswer: 136111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 26. Suppose -t - 15 = u - 4, 5*t = -2*u - 49. Let j = t - -30. Solve 5*w + 4*a = -0*a - j, k*a + 2 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57660 and 1364?\nAnswer: 634260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - (-3 + -4 + -1 + -1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:48 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-7 - (22 + -65)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 8. Let g be c(3). Let n be 10\/g*435\/(-75). Let x = n + -17. Calculate the remainder when 23 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/22)\/(-6)*-6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -6)*(-23 - (-2947)\/14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/48)\/((-5905)\/(-4724))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977011.6 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -11337 + 2907. Round c to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10257868 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhf when three letters picked without replacement from {h: 6, f: 12}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/6 - 6\/9. Suppose 5*t + 7 - 197 = 5*o, 4*t = b*o + 116. Let l = o + 61. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*i - 4125, -i + 3744 - 441 = 4*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368193 is divided by 3106.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -555486424*i**3 - 1699*i**2 + 96019.\nAnswer: -3332918544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-45)\/(-27))\/((15\/117)\/1)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) -2\/7 (b) 24 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8233624 (base 9) in base 4?\nAnswer: 100300101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 3*t**5\/20 - t**4\/2 + 49*t**2\/2 - 36*t. Differentiate j(x) with respect to x.\nAnswer: 9*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 + -0.01. Let c = m - -0.2. Let t = 0.6 + c. Which is smaller: t or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 1\/5 (c) -0.3 (d) -0.049 (e) 140913\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2335, -16, 2 in descending order.\nAnswer: 2335, 2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {g: 1, y: 3, u: 4, o: 4, s: 3, x: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2 - 4*l. Suppose 0 = -4*z - z + 20. Suppose -4*w + 8 + z = 0. Does 14 divide c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 73650.\nAnswer: 1\/73650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w = -38*w - 3*t - 10, w = t + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1005638, 2011288, 3016938?\nAnswer: 4022588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23765859121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*j + 14*j**3 + 22*j - 70*j.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkk when three letters picked without replacement from {k: 2, q: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -53. Suppose 0 = -4*z + 2*c + b*c - 1476, c - 1479 = 4*z. Let q = -170 - z. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 588.97 + -589. Which is the closest to o? (a) -0.1 (b) -1\/9 (c) 0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575.87965 milliseconds in days?\nAnswer: 0.000029813421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3484 (b) -6\/7 (c) -13 (d) -0.06 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 2.2. Let x = l - -0.2. Let i = 0.1 + -0.5. Which is the third biggest value? (a) 0.1 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 1 + (54\/18 - 243909). Round f to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqqbqbqqmbqqqmmb. Give prob of sequence bq.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = -v - 17*p - 23, 24 = 4*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 437 and 92?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -135?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pddpdd. What is prob of sequence dpdp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10c0 - -5?\nAnswer: 10c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 68\/571 (b) -0.2 (c) -5\/16 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1610 by 14.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 85. Let l(y) = -y**3 - 9*y**2 - 10*y - 17. Is l(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/(-33))\/((12\/88)\/(137\/1096))?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + 28. What is the remainder when a is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/2))**(-3))**(-6\/31))**(-5\/6) assuming u is positive.\nAnswer: u**(-15\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/306 and -27.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 10. Let r be m(10). Let z be ((-16)\/(-10))\/((-2)\/r). Let a(b) = 949999*b + 8. Let g be a(z). What is g rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-195)\/(-9) + -19)*3\/(-2). Let p = -0.1 + -0.4. Sort p, 0, 1\/4, j in descending order.\nAnswer: 1\/4, 0, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327.5966 rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 3*p + 1. Let d(q) = -q + 11. Let v be d(5). Suppose 0 = 2*t - v - 0. Give w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i = -36. Let b be (-4)\/12 - 21\/i. Suppose -4*w - 3*z = -130, -b*w + 4*z + 103 - 27 = 0. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puu when three letters picked without replacement from puqcquukqqucqpcu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.99 and -0.16.\nAnswer: -2.3984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 576.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185623685 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 32*w - 561. Calculate the highest common factor of 663 and w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336362 to the power of 1\/2, to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9652 or -9653?\nAnswer: -9653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109967 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2 - c + 7*c**2 + 7 - 9 = 0 for c.\nAnswer: -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m = 20*m + 990. Calculate the remainder when 57 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 15 - 23*p**2 - 2*p + 22*p**2. Let q be n(0). Let s(k) = -k - 9. Let y be s(q). Calculate the highest common divisor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29\/103 - -20867\/73748. Is i != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, 5\/61709.\nAnswer: 5\/61709, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = -14*o + 1292. Calculate the remainder when 178 is divided by o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14969184 divided by 2217\nAnswer: -6752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 22. Let p = -2 + l. What is the least common multiple of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Let l be (966\/115)\/(2*(-1)\/5). Sort -4, l, q in descending order.\nAnswer: q, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-24 - -18)*1\/2)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 - 114. Differentiate -53*o**4 - 2*o**4 - 345 + 27 + 16 - 7*o**u wrt o.\nAnswer: -248*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4}. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/9, -0.3, 8, -3, -9.\nAnswer: -9, -3, -0.3, -2\/9, 3\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -470 - -472. Suppose 0 = -10*d + 13*d - 9, 0 = j + i*d - 1. What is the closest to -6 in -3\/8, j, 1, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/2, 5, -1, 629, -0.4, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose -2*g + 33 = 5*s, g - i*s + 29 = 2*g. Suppose g = n - 2*n + 4*x, 3*n = 3*x + 6. Solve r - 5*t = -0 + 4, -4*t = r - n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 2*h**2 - 136*h + 4. Let m(y) = -2*y**3 - 3*y**2 - 134*y + 6. Give 3*g(i) - 2*m(i).\nAnswer: -2*i**3 - 140*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 6*q + 10. What is l(10)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -3)*87\/9. Let j = 70 + m. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9187\/6 + -1511. Let i = -403\/4 - -111. Find the common denominator of i and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**4\/6 - n**3\/2 - 7*n**2 - 2934*n. Calculate s(5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -4*(sqrt(133) + 2*sqrt(133) + sqrt(133) - sqrt(133) - sqrt(133)) + sqrt(133))\/(sqrt(63)\/(sqrt(27)\/sqrt(3))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (2\/(-4) + 103\/2). Let k = y + 146\/3. Factor k*o**5 + 2\/3*o**4 - 2\/3*o**3 + 0*o - 2\/3*o**2 + 0.\nAnswer: 2*o**2*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-6)\/(-9)*135\/(-40)). Find o such that -4\/9*o**5 - 20\/9*o**3 - 8\/9*o**2 + 0 - t*o**4 + 0*o = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o + 17. Give x(-9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 452*k - 2979. Calculate w(7).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*((-9)\/(-45))\/((-5)\/(-25)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 26 - (41 - 1)) + -12 + 9.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 315*l - 303*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 370\/5365*(-145)\/1135.\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23236*0.08.\nAnswer: -1858.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x**2 - 2*x - 26. Let w(l) = -2*l**2 + l + 2. Calculate c(p) + 4*w(p).\nAnswer: 6*p**2 + 2*p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**5\/10 - o**4\/4 + o**3\/3 - 3*o**2\/2 - 14*o. Suppose 3*c + c = 0. Let u be 0\/(-1 - c) - -2. What is n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (0 + -8 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -r + 3*r - 256, -r + 114 = 4*n. What are the prime factors of r?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 5*u**2 - 4*u + 4. Let c be v(-4). Let y(f) = f**2 + 2*f + 1 - f + c*f. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3505430 (base 8) to base 3.\nAnswer: -1210102102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -7\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3325455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/1008 + (-2)\/18?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {z: 4, s: 5, n: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 7*s + 4. Let g be p(7). Let y be (102\/36)\/17*6. Solve y - 9 = g*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 908222 and 1218.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8259665 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: Let m(s) = 5187522*s + 20750074. What is m(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79)\/10 + 8)\/((-2)\/15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 63 = 5*p. Let b(s) = 3*s - p*s**2 - 7*s**2 + 19*s**2. Let m(o) = o**3 + 19*o**2 - 7*o. Let k(j) = 7*b(j) + 3*m(j). Suppose k(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80481235 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -82, -2, 1, 5 in decreasing order.\nAnswer: 5, 3, 2, 1, -2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2\/11 - 96*k\/11 - 306\/11 = 0.\nAnswer: -3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4*r**3 + 235*m**4*r - 15*m*r**3 - 5*m + 2*r**2 wrt m.\nAnswer: 36*m**2*r**3 + 2820*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 20 + 4 = 0. What is the greatest common factor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 5. Let b be y(-6). List the prime factors of (-7)\/b*(7 - 11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 a when three letters picked without replacement from {a: 8, h: 5, y: 7}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + 0 + -12 - 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 29, 4, -12, -213, -0.5 in descending order.\nAnswer: 29, 4, -0.5, -5, -12, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51de (base 16) to base 13.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -146*n + 18. What is z(-3)?\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v - 4. Let q be ((-1)\/(-1))\/((-7)\/35). Let o(h) = 11*h - 3. Determine q*b(n) + 6*o(n).\nAnswer: 6*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/7)*y))**(-10)\/(y**2*y*y**(1\/7)) assuming y is positive.\nAnswer: y**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/2)\/r)\/r**(-20)*r**(-16)\/(r\/(r**13\/r)) assuming r is positive.\nAnswer: r**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(102) + sqrt(102) + (1*sqrt(102) - sqrt(102))) + sqrt(102))\/sqrt(6) - (-3*(2*sqrt(153) - sqrt(153)) + sqrt(153))\/sqrt(9).\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {t: 2, p: 1, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, d: 2, u: 5}. What is prob of picking 1 g and 2 u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -532, -567, -630, -727, -864, -1047, -1282, -1575?\n\"Answer: -p**3 - 8*p**2 - 4*p - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -0.1 (c) -11 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 201\/7 + (-4)\/(-14). Let u(l) = -9*l - 367. Let k be 14763\/(-361) + 4\/(-38). Let d be u(k). Solve -5*h - 3*c = -x, d*h - 3*c = -2*h + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o - 3. Is c(9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -374, -320?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 8*y + 19. Give m(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - 0.1. Let b = 1046 - 943.9. Let s = b + -102. What is the third smallest value in -0.05, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tett. Give prob of sequence ttet.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2*5*(-4 + 108\/24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 80. Determine z(0).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0088339214 rounded to five decimal places?\nAnswer: 0.00883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -87*w**2 + 291*w - 291. Give h(1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, z: 1, k: 2, l: 5, y: 3, x: 2}. What is prob of sequence xvz?\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155137?\nAnswer: 155137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233920391?\nAnswer: 3, 11, 29, 1289363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-224)\/28 + 24\/3. Solve a = -8*c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1400?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 - 27*p + 32. Let c be f(12). Suppose 274 = 2*u + 2*w, 4*u - c = -w - 12. What are the prime factors of u?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 + -56. What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032291915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802161699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231032.3 rounded to the nearest 1000?\nAnswer: 231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54110141 (base 7) to base 16\nAnswer: 464e6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)*(-3421)\/(-3). Let c be 4474\/4 - 21\/14. Let x = c - n. Find the common denominator of x and 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9838966.2 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 2, q: 5, r: 3, t: 1}. What is prob of sequence nq?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(1152) + -3 + (-1 + sqrt(1152)*-2 - (sqrt(1152) - 2*sqrt(1152))*-1))**2.\nAnswer: 1344*sqrt(2) + 18481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 92*y - 88*y - 1322, 694 = 2*y + 4*h. What is the greatest common divisor of y and 402?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-145)\/(-232))\/(2\/16). Solve d = -3*m - 14, 2*m - 2*d = -7*d - x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07 and -0.223.\nAnswer: -0.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.2 - 11. Let x = g + -1.4. What is the nearest to 1 in x, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -3*h**6\/40 + h**5\/30 + h**4\/4 - h**3\/3 + 43*h**2. What is the second derivative of v(b) wrt b?\nAnswer: -54*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 29. Let v(r) = -8*r - 22. Let d be v(-3). Let s(p) = 5*p + d*p - 3*p - 2*p. What is s(o(f))?\nAnswer: -8*f - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1021 + 1320030?\nAnswer: 1313003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(114 - 113).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/188 in 2, 0, -2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - 2) - (4 + 4 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/15 (b) 276 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1867*r - 1863*r = b + 37, 0 = -4*r for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4412 (base 5) to base 10\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252))**2*4 + -5*sqrt(35)\/sqrt(5).\nAnswer: -5*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 + 751*n - 6 - 787*n. Let l be b(-2). Suppose 8 = -63*u + l*u. Solve u*a + 13 = 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 855513 + 1?\nAnswer: 855514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -0.05, -483?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.224354t in kilograms?\nAnswer: 9224.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1049, -4021, -8971, -15899?\n\"Answer: -989*p**2 - 5*p - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 27 = 2. Let c be (44 - (3 + 0)) + 2. Let j = c + b. What are 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 -0.92931943 rounded to three dps?\nAnswer: -0.929","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3857 + 7710 + 43*l**5 - 3878)*(0 - 2 + 4).\nAnswer: 86*l**5 + 4*l - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - w**2. Determine v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1362 = -100*c + 102*c - 2*p, 2*c - 3*p = 1364. What are the prime factors of c?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 * -22.283217\nAnswer: -69.0779727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 4*f - 18. What is d(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cspuvus. Give prob of sequence pucu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(-5 + sqrt(66)\/(sqrt(30)\/sqrt(5))*4).\nAnswer: -8*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 13*y + 21. Suppose 21*q + 585 = 795. Give t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/2 - 3219*q**2 - 89969*q\/2 - 105996 = 0. What is q?\nAnswer: -6424, -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 57, 1, -23 in increasing order.\nAnswer: -23, -5, 1, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:03 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425 + 263 = -9*p. Is p >= 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjjxxujju. Give prob of picking 1 u and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/(s\/(s\/s**(-1\/4)))*(s*s**3)\/s*s**(2\/3)\/s)\/(s**(6\/7)*s**(1\/6)*((s*s\/(s\/(s\/(s\/(s\/s**7)*s))))\/s)\/s**2) assuming s is positive.\nAnswer: s**(221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499378363?\nAnswer: 11, 45398033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-208)\/(-65) + -1 + 1 + (-2)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-30))\/(2\/(-102)). Calculate the greatest common divisor of 119 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309225 to the power of 1\/2, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d4d (base 15) to base 4.\nAnswer: -2120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = -0. Let g(q) = q**3. Let b(c) = -c**3 - 20*c**2 + 16*c. Let i(p) = a*b(p) - 5*g(p). Factor i(z).\nAnswer: -4*z*(z - 4)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1740)\/84)\/(195\/(-273))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2425 - -1?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 8.1. Let f = -5 + n. What is the nearest to -2\/3 in 0, f, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*i - 200 = -3*i, 2*o = -3*i + 98. Suppose -5*y + o = 45. Solve 5*r - 23 = -y*q, -5*q - 12 = -r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g + 5*g + 26*g + 26*g + 38*g + g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = -66*r + 1371 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1194702*c*t**2 - 3*t**2 + 450*t + 1233 wrt c.\nAnswer: 1194702*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*c - 166*c - 10*w = 185, 0 = 2*w + 32 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**2 - 25 - 15 - 24*c**2 + 40.\nAnswer: -55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 26440*u - 4179200.\nAnswer: -2*(u - 13060)*(u - 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-631 + 266 + 213)*(-2*j**3 - 3*j - 2 + j + 0*j).\nAnswer: 304*j**3 + 304*j + 304","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310476234?\nAnswer: 2, 3, 151, 263, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) -1 (b) 4 (c) 1\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.038 + -0.962. Put 0.1, -0.5, 2, x in ascending order.\nAnswer: x, -0.5, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -29 - (5 - (-1 - -7) - 8).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22854234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001221286 rounded to 7 decimal places?\nAnswer: 0.0001221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25403\/6 + -4224. Let z = -5716 + 91419\/16. What is the common denominator of o and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p**3 + 20*p**2 - 8*p. Let z(r) = 53*r**3 - 60*r**2 + 24*r. Let n(d) = -17*v(d) - 6*z(d). Suppose n(f) = 0. Calculate f.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.73, 101, 5, -5?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 5*v)*(-5 - 263*v + 5 + 84*v + 2).\nAnswer: -537*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 3*h - 6*h + (0*h - 2*h + 0*h)*(-4 - 1 + 4) + 2*h + h + h)*(2 - h - 2)*(-2*h - 25 + 11*h**2 + 9*h**2 + 27).\nAnswer: -140*h**4 + 14*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 - 93. Sort 2, u, 1.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-9)\/(-6)*(-1)\/3). Let s be 2\/(-4)*(p - -8). Suppose 3*m + 11 = -2*z, z + 5*m + 26 = 3. Solve -s*w = -z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-294)\/63)\/(2\/9*-3). Let j(i) = 26*i - 128. Let q be j(g). What is the highest common factor of 162 and q?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*b + 2*b + 5 = 0, -7 = -3*x + b. Let h be ((-2)\/(-3))\/(14\/(-21))*109. Let n = h + 111. Solve -v - 6 = -x*v + n*y, 13 = -v - 3*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21058036 + -1\nAnswer: -1.21058036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*o + 1. Solve 0 = 4*j - 2*y + o, -5*y + 4 = 4*j - j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001851085925 to 7 decimal places.\nAnswer: -0.0018511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-52)\/(-117)*27 - 7\/1. What is the closest to -0.6 in j, 1\/3, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825 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: Round 1215899603 to the nearest one million.\nAnswer: 1216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4143 + 4143.000020482. What is x rounded to seven dps?\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1564, 1586, 1662, 1816, 2072, 2454?\n\"Answer: 4*w**3 + 3*w**2 - 15*w + 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 10*b + 181. Give a(18).\nAnswer: 973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3579940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 4 = -14. Let l be k\/(-4) - (-2 + 26\/4). Let s(g) = 3*g + 6. What is s(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 776*h - 1568*h + 793*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 4 (b) -4\/3 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h)**(-1\/4)*(h\/(h\/(h**(1\/2)\/h)*h))**(2\/9) assuming h is positive.\nAnswer: h**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6*r = -4, -9*y + 21*r - 22*r = -6*y + 50 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.8 - -11.9. Let c = w + -17. Let b be 1*((-16)\/5 + 3). What is the nearest to c in b, -2, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + -1*((-2*sqrt(176) + 5 - sqrt(176)) + -3 + -4)*-1)**2.\nAnswer: -48*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*s + 61 - 61)*((6 - 4 - 1)*(-3 + 1 + 1) + 1 - 1 - 1 - 1 + 3 - 1).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3648 and 12616.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11024 + -24?\nAnswer: -11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -5\/4, 21, -330\/293?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 5*l - 3753980, -7*c = -8*c + 4*l - 1877016. What is c rounded to the nearest 10000?\nAnswer: -1880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/12 - s. Let l = -6 + 7. Calculate b(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50 + (-7*(-2 + 3) - -4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-6) - (-9 - (-1752)\/16). What is the second smallest value in 4\/7, 4\/3, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 3*i + 6. Let b be k(-5). Let v = -66 + 63. Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkktttttktsctkttttk. What is prob of picking 2 k, 1 s, and 1 t?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/16 and 87\/36232786.\nAnswer: 289862288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, q: 2, a: 2}. What is prob of picking 1 q and 2 x?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312186?\nAnswer: 2, 3, 7, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -37*s + 149. Let h(n) = -28*n + 147. Give -4*f(d) + 5*h(d).\nAnswer: 8*d + 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3\/5 (b) 0.2 (c) -2\/41 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.243 - -0.0232823.\nAnswer: -0.2197177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l + 4. Suppose 5*f + 0*f + 4*a + 4 = 0, 2 = -2*f - 2*a. Solve 5*y - 2*t + 35 = 0, l*y + f = -5*t + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) -3\/2 (b) 1\/3 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 divided by 3?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k + 9*k**2 + 1\/24*k**4 + 0 + 1\/2*k**3. Differentiate n(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of x**3 + 45370*x**2 + 104420*x wrt x.\nAnswer: 6*x + 90740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 3, i: 1, q: 4, c: 4, b: 2}. What is prob of sequence qi?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (-531 + 516)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/5 + 1\/5. Let j = 6 + -6.4. Which is the nearest to g? (a) -3\/7 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24366007 and 7.\nAnswer: -24366000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 5841\/4, 45, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/15*(133 + -100))\/((-1360)\/(-1275))?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 21*w**4 - w**3\/3 + 700*w - 1046. Differentiate t(g) wrt g.\nAnswer: 252*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 197 = -5*f + 50, 2*g - 72 = 2*f. Solve i + g = -10*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 175*r + 606. Does 41 divide b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Let g(o) be the third derivative of 0*o + 0*o**3 - 6*o**2 + 0 - 5\/24*o**4. Calculate g(d(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let p(q) = -3*q - 5 - l + 8*q. Is p(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31122507*j*p**3 + 9251*j*p**2 - 4*j*p + 43*j + p**2 + 1 wrt p.\nAnswer: 186735042*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -799 + 46341\/58. Let i = -61\/174 - v. What is the nearest to 0 in -0.2, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 1307?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/11, -2\/7, -959?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3828235720 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3675 + -3605. What is the remainder when 279 is divided by u?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/5)\/p*p**(-12)\/p)\/(p**2)**(19\/6))**18 assuming p is positive.\nAnswer: p**(-1812\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 - 4\/10*-95. Solve -n*y = -29*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 26. Let c = 0.1 + 3.9. Let b = c - 3. Sort -1, g, b.\nAnswer: g, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-8))\/((-1)\/(-8)). Let y be (-4 + 1)*10\/d. Let c(s) = 3*s - 2*s + 0*s. Determine c(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 2*l**2 + l. What is t(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 5 (b) 0 (c) 243674\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23557 take away -2767729655?\nAnswer: 2767753212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 4, g: 1, b: 1, l: 1}. Give prob of sequence grl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*u - 157 + 1053, -2*u + 6 = 0. Suppose j = 7*z - 142. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 79*t**7\/21 - t**4\/12 - 4*t**3\/3 - 190*t. Find the third derivative of a(b) wrt b.\nAnswer: 9480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1357*s**2*u**4 + s**2*u**2 - 2*s**2*u - 1225*u wrt u.\nAnswer: -16284*s**2*u**2 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 3.8925.\nAnswer: -4.1925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 464661561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b**25 assuming b is positive.\nAnswer: b**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*g - 5327 = 3*g, 8873 = 5*x - 3*g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4690 and 0.16.\nAnswer: 4690.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 29*h + 4*c - 165 = c, 3*c - 6*c - 4*c = -2*h + 33 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:54 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5827.253 kilometers to centimeters.\nAnswer: 582725300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from {i: 1, u: 1, v: 2, z: 1, o: 3, n: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 46. Determine k(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 5*z + 3. Let o be t(5). Suppose o*g + 2*b = 3 + 16, g - 5*b + 22 = 0. Put -11, g, 4, 5 in increasing order.\nAnswer: -11, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 125. Let w = m + -45. Calculate the remainder when 100 is divided by w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 5*z = -37, -5*z = 3*t - 5*t - 31 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.05 + 9. Let p = -0.05 + r. Let w = 9322 + -9329. Which is bigger: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 30*b + 7 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 14*w**2 - 4812*w - 1376 = 0.\nAnswer: -2\/7, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 27*b + 26*b - 196 = 0, 3*f - b = -116. Let k = -47 - -85. Let n = k - f. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*z = -1 + 5, -n - z + 3 = 0. Suppose 5 = 5*u - n*u. Solve -u*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13\/26)\/(1\/30)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1139119 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000522 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let x(i) = -181*i + 26480 - 26480. What is x(p(d))?\nAnswer: -181*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -14.4. Which is the nearest to -0.1? (a) x (b) -2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/p*p*p**2*((p**(1\/2)*p)\/p)\/p**1)**(-1\/20) assuming p is positive.\nAnswer: p**(11\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 5 (c) 0 (d) -4 (e) -0.06 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.123 - -3.077. Which is the nearest to r? (a) -5 (b) 4\/5 (c) 0.2 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*c + 24 = 0, -5742*c - 116 = -3*l - 5734*c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*c - 17 = -n, -18 = -4*n + 2*c. Let b = -49 + 65. Let q be 1\/(-6) + 228\/72. Solve -n*g = q*l - 19, 8*g - 3*g - 3*l - b = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*-4*(-6*(4 + sqrt(3)))**2*-3.\nAnswer: -65664 - 27648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7106 - 7997. Which is greater: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, c: 10}. What is prob of sequence ggcg?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 332 = -255 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61095 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-10))\/(-9)*(-114)\/133?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide ((-668)\/(-6) - 3) + 1\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16\/(-20) - 670\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d + 1064 - 1016 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77659?\nAnswer: 77659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 + f + 4. Let h be q(-4). Let r(y) = y**2 + y - 3. Let l be r(2). Suppose l*b - 2*z = z + 63, h = z. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 8*r + 2*r**2 - 6 - 4\/3*r**3. Factor w(a).\nAnswer: -4*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -906 - -213. Suppose -415 = -4*k + m, 5*k - 3*k = -3*m + 211. Let f = k - w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -13*g. Suppose -6*v - 4 = -8*v. Let s(o) = 463*o - 463*o + o**v. Determine s(t(z)).\nAnswer: 169*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 26 + 33*m - 6*m + m**2 - m**2 - 15*m. Give g(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1587.94 to the nearest ten.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 31*u**2 + 71*u + 172. What is l(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z. Suppose 4*p - 3*o + 0*o = 21, 3*p + o - 19 = 0. Let v be (4\/(-14))\/(p\/(-84)). Solve -4*c - v = -z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4\/u)\/u**(2\/21)*u**(-1\/2)*u*u**(-2\/3) assuming u is positive.\nAnswer: u**(157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - u - 147 = -40, s - 24 = 2*u. Suppose 3*z + 5 + 90 = 2*v, 3*v - 115 = -z. Suppose -36*d = -s*d + v. Solve -d = -3*t - 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (4 + -9 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose a = -y*a - 5*l - 3, 0 = -3*a + 3*l + 9. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3732905 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 5:19 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -4 in decreasing order.\nAnswer: -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*t**4 - 5*t**2 + 2*t**4 - t**2 - 7 + 2*t**3 as v*t**3 + m + a*t**4 + r*t + s*t**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*i - 64294 = -11*i - 64566 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**3 - 8*t**2 - 13*t + 1. Let w(p) = -3*p**3 + 3*p**2 + 4*p. Calculate -4*o(n) - 11*w(n).\nAnswer: n**3 - n**2 + 8*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 10*y = 5*z + 51, -y = 2. Let r(t) = -5*t**2 + 2*t + 19. Let w(q) = 2*q**2 - q - 9. Calculate z*w(x) - 4*r(x).\nAnswer: 2*x**2 + x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (748\/1360)\/(9\/90).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -3. Let s = z + 2. Let p = s - -1.2. Is p at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x**2 + 1\/200*x**5 + 0*x + 29\/3*x**3 - 1\/10*x**4 - 2 + 1\/200*x**6. Let i(n) be the third derivative of s(n). Factor i(o).\nAnswer: 3*(o - 1)*(3*o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -294*b + 307*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*u**2*x**2 - u**2 + 2*u - 60*x**2 wrt u?\nAnswer: -82*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 + 4. Let i be (2 + -5)\/w*-5. Suppose 0*q = -i*q. Solve q = -5*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 e when three letters picked without replacement from eeejjjjj?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*s - 2*s = 105, -2*s = 10. Suppose -2*d = -5*d - 138. Let b = -30 - d. What is the highest common factor of k and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019068 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 1\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-9) - (-1 + -1) - 74. Let d = a - -215\/3. What is the closest to -0.1 in d, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/6 and 47\/483550.\nAnswer: 1450650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/343*(-28)\/(-16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1207 - 772. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 14. Let m be (6\/9 - 0)\/(x\/6). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 7. Let o be p(-6). Suppose -o*z + 257 = 2. Calculate the highest common divisor of z and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 39. Let k be (2\/(-3))\/(b\/(-135)). Let h = -1.93 - 0.07. Sort h, 2, k in ascending order.\nAnswer: k, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10360, 20648, 30920, 41176, 51416, 61640, 71848?\n\"Answer: -8*o**2 + 10312*o + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 8*w + 4*w**2 - 3*w**2 + 0*w**2 to a + g*w**2 + u*w and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49212 and 1404.\nAnswer: 1919268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7790953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 (base 12) in base 13?\nAnswer: 36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15.784 or 1?\nAnswer: 15.784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -437, 1, -1, 1\/6, -0.1 in increasing order.\nAnswer: -437, -1, -0.1, 0, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(-1*(-1)\/(-2)). List the prime factors of (-18)\/6 - (-64 + t).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 71 = 94 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 160.366?\nAnswer: -168.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 4*w**2 - 3*w. Let r be y(-2). Suppose 4*j + r = 5*j. Solve 2 = n + j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-19 - 6 - -3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38 and 43897?\nAnswer: 1668086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 + r - 7. Let a(f) = 2*f + f - f**2 + 2*f + 7. Let n be a(7). Is u(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11985*x**3 - 63*x**2 + 42*x. Let g(u) = 1712*u**3 + 9*u**2 - 6*u. Let s(a) = 15*g(a) + 2*p(a). Let j be s(-6). Round j to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -619, -185, 1297, 3827, 7405, 12031, 17705?\nAnswer: 24427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 i when two letters picked without replacement from pidxypdy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 35, -39, -169, -355, -597, -895?\n\"Answer: -28*t**2 + 10*t + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:04 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**3*v**2 + 2*b**3*v - 35010*b**3 - 13*b**2*v**2 + 27*v**2 + 49258 wrt b.\nAnswer: -36*v**2 + 12*v - 210060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(121\/(-46)) + (-37 - (-43 + 0)).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334 is divided by 1331.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a913 + -6?\nAnswer: 7a90b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123063649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389328.4 rounded to the nearest 10000?\nAnswer: 2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 231. Let o be (-1)\/(-3 - 700\/q). Let l = 53 - o. Calculate the greatest common factor of 24 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (781\/213)\/(((-440)\/(-1632))\/5)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 16*l - 4. Let m be u(-10). Let n = 394\/7 - m. Which is the biggest value? (a) n (b) -4\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 70*l + 3702. Determine r(38).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1218 - -1226. Solve -w - 1 = -3*k, k - w + 7 - u = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5404*i + 20 - 20 - 2706*i - 2705*i.\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*t + 4)*(t**3 + 3*t**3 - t**3).\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, s: 1, c: 6}. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1919000 and 1304920?\nAnswer: 32623000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 71 + 4\/2. Suppose 5*o - z = 24, o - 4*z = 3*o - 14. Suppose 128 = 3*l - o*u, 5*u - 5 = 4*u. Calculate the highest common divisor of p and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -531*j**2 + 11*j - 16 wrt j.\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1) + (-226807)\/(-12). Let h(g) = 4724*g + 5. Let y be h(-4). Let a = f + y. Find the common denominator of -42\/11 and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.82 - -32.18. Let z = a + -31.2. Let f = z + -1.80065. Round f to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 7:11 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 6. Let r(q) = 3*q**3 + 2*q**2 + 2*q - 2. Let u(a) = -a**3 + 1. Let c(v) = -r(v) - 2*u(v). Let o be c(-2). Determine k(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2611\/30 + 877\/10. Let x(a) = a**3 + 5*a**2 - 5*a + 7. Let v(t) = 2*t + 8. Let p be v(-7). Let d be x(p). What is the closest to 0.1 in j, 3, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4*-2*(105 - -39). Let g(c) = -c**2 - 11*c - 18. Let s be g(-5). Factor -m*t + s*t**2 + 37*t + 43*t.\nAnswer: 4*t*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 232*n**2 + 980*n - 744.\nAnswer: -4*(n - 3)*(n - 1)*(n + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 7*l - 16. Suppose -2*r - 40 = -4*r. Suppose 4*o = -4, -6 = -2*h + 4*o + r. Does 9 divide f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25643 or -25641?\nAnswer: -25643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**3\/6 - b**2\/2 - 8*b. Let q be a(-4). Solve m + q*y = -12 - 1, -24 = 4*m + 5*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-308011)\/7315 - (-2)\/7. Let w = -540\/19 - x. Which is greater: 13 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 0.01\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 88, 177, 266?\n\"Answer: 89*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1339.619 + -1334. Let f = -0.609 + x. Let i = f + -5. What is i rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 4*i - 28 - 4*i + 271 + 2*i**3.\nAnswer: 2*i**3 + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7404.9 + -7828. Let w = s + 423. Which is the closest to w? (a) 5 (b) 1\/3 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and (1 - -4) + 4\/(12\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 112527, 225653, 338791, 451947, 565127, 678337, 791583?\n\"Answer: p**3 + 113119*p - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**3\/6 - y**2\/2 - 3*y. Let i = 3 + -5. Let g(z) = -2*z**2 + 6*z - 1. Let l(k) = i*q(k) - g(k). Calculate l(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/4 + 97077*m**2\/2 - 2356325715*m + 32979047150 = 0. What is m?\nAnswer: 14, 97070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 8735951 - 330481026449\/37830. Calculate the common denominator of m and 59\/22.\nAnswer: 416130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-6 - -14 - -9)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -7\/195 (c) -443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 + 7*x - 3. Let k(a) = 2*a**2 - a. Let u be k(-1). Let c be -8 - u\/(-1 - 2). Let j(n) = -n**2 - 3*n + 1. Give c*j(q) - 3*w(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipqr when four letters picked without replacement from pinqqqiriiipqrpnniri?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 less than -107.8582521?\nAnswer: 73.1417479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 90761320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14178876.\nAnswer: 2, 3, 1181573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkakpkvapknn. What is prob of sequence aa?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 18*m - 43. Let s be r(-15). Let v(f) = f**3 - 5*f**2 + 5*f - 2. Let p be v(4). Solve -p*j = 4*n + 20, -s*j = -j + n + 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*g - 13. Let n = 10 - g. Let v be (n\/(-8))\/((-3)\/12). What is the biggest value in -0.2, 4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.029? (a) -0.279 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5529*c*k**2*w + 2*c*k*w + 3*c*w + 15*c + 575*k**2*w**3 + 2*k**2*w**2 + 971*k*w**3 - k*w**2 - 5*w**3 - 2 wrt k?\nAnswer: 11058*c*w + 1150*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68.1 - 68. What is the third biggest value in o, -2\/23, 24?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3 + 12*p**2 - 17*p - 30 = 0.\nAnswer: -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-315)\/(-14)))\/(154\/35)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from shblq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76314 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4989*n**3 + 59*n**4 + 76*n**4 - 4995*n**3 + 1 + 9982*n**3 + n**2 + 2*n as d*n**4 + p*n**3 + h + l*n**2 + z*n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*j - 145, 15*j + 33 = 16*j - 2*s. Solve -2*z - 3*u = -j, z - 3*u = -16 + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 19*d**2 - 7*d + 9. Let l be p(18). Suppose -21 + l = 6*x. Calculate the remainder when 57 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 0*c**2 + 0 - 3\/5*c + 3\/5*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**12*i)\/i)\/(i\/i**(1\/45)))\/(i\/(i**(-2\/27)\/i)*i*i\/(i\/(i*i**28))) assuming i is positive.\nAnswer: i**(-2842\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1255 and 2761?\nAnswer: 13805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-271)\/(-5) - 3\/15. Suppose 2*c = -w + c + 54, -w + n = 5*c. Suppose 0 = u - 5*j - 51 + 5, u - j = w. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3233 and -65?\nAnswer: 21.0145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**4 - 2*u**2 + 30739*u + 25*u**3 - 30736*u + u**4 in the form g*u + s*u**3 + p*u**2 + z*u**4 + o and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -5 (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z - 25*z = -34*z + 648. Suppose -4*k + 40 = -2*k. Calculate the smallest common multiple of k and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23, -50, -89, -140, -203?\n\"Answer: -6*t**2 - 9*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58797*o**3*w**3 + 19*o**3*w**2 - 356*o**2*w**2 + 984*o*w**3 + 5*o*w**2 - 2*w**3 - 25*w**2 - 3 wrt w.\nAnswer: 352782*o**3 + 5904*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(45\/(-30)) + (-40)\/(-800)*48?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = -3*h, -h + 4*l - 6*l = 5. Sort h, 6, 0, -4 in increasing order.\nAnswer: -4, h, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -326, -434, -494, -494?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 1. Let s be o(2). Suppose 0 = -r + s*y + 5, -4*y - 4 = -4*r - 0. Let g be (12\/(2*-1))\/(-2). Solve 4*f = r, 4*m - g*f = 2*f + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.32 - 0.32. Let t = 2283\/1028 + 15\/514. What is the third biggest value in t, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 809 divide 89862644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 3:47 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -q + 3, -i + 4*i = 2*q - 6. Calculate the remainder when 15 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*l + 2\/13*l**2 + 10400.\nAnswer: 2*(l + 260)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 71.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piipoiiipippidp. Give prob of picking 1 p and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34780721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 4*p + 2. Let y be h(-2). Suppose -3*o = l, 4*o = y*l - o - 22. Let f be l\/28 + (-16)\/(-56). Which is greater: 0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 + 6*f**2 + 27*f - 1 wrt f.\nAnswer: -24*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*t**3\/3 + 1340*t**2\/3 + 7000*t + 6000.\nAnswer: 2*(t + 30)**2*(11*t + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -14 - -16) + (-5 - -22)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 2103?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/109 or -1?\nAnswer: 18\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156200 a multiple of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1763 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**8\/840 - q**7\/420 + q**3\/3 + 8*q**2. Let n(d) be the first derivative of l(d). Factor n(f).\nAnswer: 2*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v - 5 = 0. Suppose 2*h - 3 = -0*z - v*z, -h + 5*z - 6 = 0. Let y(x) = -7*x. Give y(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -0*v - v, -3*v + 30 = 3*d. Suppose 0 = 3*c - 5*i + v, -4*c + 33 = 3*i - 2. Suppose -3*q = -c*q - 5*j + 119, 170 = 3*q - j. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 49 - 337 = 0. Let h = y + 32. Which is bigger: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64037, 64088, 64165, 64262, 64373, 64492?\nAnswer: 64613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920083859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Suppose 0 = 18*u + 9 + 45. Let z(n) = 7*n - 2. Let j(p) = u*m(p) - z(p). Calculate j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3 - 2550179*r**2 - 2075785*r?\nAnswer: -12*r - 5100358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 14*d - 15*d - 12 = 0, 3*u - 19 = 4*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + 83. What are the prime factors of 1\/((x\/6)\/(488\/(-24)))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4576.000004849 + 4576. What is s rounded to seven decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 11*b**5\/40 - b**4\/8 + 79*b**3\/6 + 55*b. Let p(s) be the second derivative of i(s). Let h(y) = 2*y. Calculate p(h(w)).\nAnswer: 66*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4789 + 6?\nAnswer: -4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5363274.0000065 - -5363277. Let r = 1.6 - -1.4. Let y = r - l. Round y to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -25*f**2. Let x(m) = 208817*m + 1. Determine x(d(u)).\nAnswer: -5220425*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*c**2 + 16691 + 20*c**2 - 16692.\nAnswer: -137*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 133228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 47 - -b199?\nAnswer: b213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/1084 and 12\/2981?\nAnswer: 11924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Let z(p) = -3 + i*p - 3*p - 3*p. Let b(r) = -7*r - 4. Give 5*b(t) - 6*z(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*r - 295 = -x, 392 = 4*x - 4*r. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 2. Let i be d(1). Suppose b + 6 = i*b. Suppose 2*c - 2*o = 16, 2*c + b*c - 3*o - 32 = 0. Solve -3*f = -c - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 14*r = -8214. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/16)\/(1\/(-6)). Suppose 0 = 4*h - p*f - 48, -5*f = h - 4*f - 5. What is the least common multiple of (0 - -1)\/((-1)\/(-9)) and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51.88 + 0.88. Let v = u + 50.5. Which is the second biggest value? (a) v (b) 3 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 919961.6 years to millennia.\nAnswer: 919.9616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -274*w**2 + 94*w**2 + 90*w**2 + 93*w**2. Let u(m) = m**2. Let c(a) = -2*a + 7. Let o be c(6). What is o*u(p) + 3*s(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -1\/21, 1, -12 in decreasing order.\nAnswer: 1, -1\/21, -12, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 171.69? (a) 3 (b) 0.07 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320640 and 8400.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5 + 8*j**4 - 12*j**3 - 32*j**2 - 16*j = 0. What is j?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(1 + -3) + 454. Suppose 440*d + 6108 = o*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, 0, 2\/5 in ascending order.\nAnswer: -1\/2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.1 + -28.24. Let r = f + 14. Let w = r + 0.04. What is the closest to w in -0.3, -2\/15, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/10*10\/(-12). Let v be (-10)\/12 + (-25)\/(-30). Factor 0 + v*t - 1\/4*t**4 + b*t**2 + 1\/4*t**3 - 1\/4*t**5.\nAnswer: -t**2*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/13 in -4\/5, 0.5, 2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(33)\/(-2*sqrt(1100)) + (sqrt(12)\/(sqrt(20)\/sqrt(5)) - (sqrt(75) + 3)))**2.\nAnswer: 81*sqrt(3)\/5 + 21283\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-1 - -6) + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 3. Let h be 5\/((-15)\/(-6)) - 3. Let o be ((-1)\/(-2))\/(h\/(-6)). Give q(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 51*b**2 - 450*b + 6202. Determine z(-60).\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 4*f + f + 2*f + 147 + 10*f to the form p*f + x and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1706 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 30807511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -12, 85.\nAnswer: -12, 29, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 346660?\nAnswer: 346660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 26 - 2 = 0. Suppose 0 = -0*b - 4*b. Suppose -4*u - 32 = -3*s, -2*u + 2 + b = 0. What is the least common multiple of t and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 2:02 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 72, 94, 116?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.584828 months to millennia.\nAnswer: 0.000632069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -1646373601124?\nAnswer: -1646373601126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p + 22. Is y(10) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -67, -3 in decreasing order.\nAnswer: -3, -50, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -339, -425, -499, -561?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**4\/6 - 7*h**3\/2 + 1741*h**2. Determine j(-18).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/19)\/((j\/j**(2\/77))\/j))**0)**(1\/75) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 3*j)*(-4*j + 2 + 4*j - 2*j) + (1 - 3 + 1)*(0*j**2 + 2*j**2 - j**2) + 72*j**2 - 13*j**2 + 23*j**2.\nAnswer: 75*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)\/(sqrt(22)\/sqrt(2)) - ((sqrt(171) - sqrt(19)) + -1)) + ((sqrt(76) + sqrt(76) + 2*sqrt(76))*2)\/sqrt(4))**2.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183 - -13445115?\nAnswer: 13444822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r - 9712. Let v(u) = -2*u. Determine j(v(g)).\nAnswer: 20*g - 9712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 108850398 divided by 59\nAnswer: 1844922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3958499*d. Let x(j) = -19*j**2 - 5*j. Give b(x(p)).\nAnswer: -75211481*p**2 - 19792495*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q**2 + 5*q**2 - 12*q**2 + 23*q**2 + 22*q**2 - 87*q**2 + 31*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 122 = 32*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 4*v + 21. Let l be (486\/v - -1) + 6\/15. Suppose 4*b + n - l = 26, 4*b + 2*n - 76 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 1. Let d(i) = 8*i - 8. Let s(h) = -7*h + 7. Let y(r) = -6*d(r) - 7*s(r). Let o(p) = -b(p) + 6*y(p). Determine o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271474 by 6.\nAnswer: 135737\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 11. Let g be s(7). Let q = g + 9. Calculate the remainder when 14 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191435 is divided by 27347.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 95043\/(-18) + (0 - 2). Let w = b - -5262. Find the common denominator of w and (-62)\/20 + (-10)\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116432438 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 32055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**5 - 392*z**4 + 4*z - 151.\nAnswer: 40*z**3 - 4704*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 2*g + 4. Let x be q(-4). Let d be 101\/567 - (-2)\/14. Let o = 1\/81 + d. Which is the nearest to x? (a) -2\/3 (b) o (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 243699, 243697, 243693, 243687, 243679, 243669?\n\"Answer: -h**2 + h + 243699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 11*c. Let q be c\/((-2)\/(3 - 2)). Solve q*l - 1 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -21.55, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from jjsspsdpduas?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j - 3. Let r(c) = -12*c + 7. Let q = -863 + 849. Let k(w) = q*n(w) - 6*r(w). Let f(t) = 537*t. What is k(f(o))?\nAnswer: 1074*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -930915496.000427 + 930915023. Let i = -473 - s. What is i rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-3)\/12)\/(1\/((-12)\/(-66))).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35261*20\nAnswer: -705220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38947 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**2 + 8*l - 64. Determine z(4).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 821708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 0.2 (c) -71 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5 + 50*y**4 + 311*y**3 + 920*y**2 + 1308*y + 720 = 0. What is y?\nAnswer: -20\/3, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6779 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2 + 97076*c - 2355937444 = 0. Calculate c.\nAnswer: 48538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 82.22+-0.073241\nAnswer: 82.146759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6340083.\nAnswer: 3, 2113361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38481 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 854.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7144526*o**3 + 2 + 0 + 7144516*o**3.\nAnswer: -10*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/75*(80\/288)\/(3\/6).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egvv when four letters picked without replacement from {g: 1, h: 1, v: 2, e: 10}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(90) + 3*sqrt(90) - sqrt(90))\/sqrt(10) - sqrt(9))\/(sqrt(24)\/(sqrt(288) + sqrt(8))).\nAnswer: 3 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*(-5)\/25\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u**2 + 3 - 3)*(-1 - 456*u - 2 + 446*u) in the form p*u**3 + k*u**2 + a + g*u and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/13)*m)\/((m**(-7)\/m)\/m*m*m))**(-43) assuming m is positive.\nAnswer: m**(-4945\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/12)\/((-260)\/1040) + 5 + -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -11. Let d = j - 4. Suppose 0 = o + v - 4, 2*o - d*v + 16 = 6*o. Which is the nearest to -1? (a) -2\/7 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 2*q**3\/3 + 251. Let p(b) = b**2 - 13. Determine m(p(n)).\nAnswer: 2*n**4 - 52*n**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 + 0.79. Let q = -128.1 - -126. Let j = q + k. What is j rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*-1*(9 + (-95)\/10). Solve -d + 4 - t = -x, 4 = -4*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299 times -3796\nAnswer: 1135004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8038.607 centuries?\nAnswer: 80386.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 12 + 12)*(-1 + 2 - 3)*(-2 + 1 + 2) in the form k + g*y and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**6*n*n))*n*n*n**(-2))**(-16)\/(((n*n*n**(-6))\/(n*n**(-1)))\/(n*n\/n**(2\/5))**20) assuming n is positive.\nAnswer: n**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 0 + n + 1)*(-16 - 50 - 60) to l*n + d and give l.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eekcckek. Give prob of sequence ecck.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1341*u - 5 + 5 + 1402*u in the form f + i*u and give i.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/120 + 3*x**5\/20 + 7*x**4\/24 - x**3\/3 - 211*x**2 - 1. Determine r(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -2031?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -2450.\nAnswer: 9\/2450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -851*d + 545340 = 578*d - 733*d + 3774*d for d.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001280071 to 6 dps.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -265*l + 30218. Give y(116).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1788946327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -229012*c**3 + 946728*c?\nAnswer: -1374072*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u**2 - 7*u + 7. Let m(g) = 21*g**2 + 6*g - 6. Let w(d) = 5*j(d) + 6*m(d). What is the units digit of w(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) -3 (b) 1 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 1825*h - 229*h + 117*h**2 - 24.\nAnswer: 117*h**2 - 2054*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 2, v: 2, t: 2, y: 6}. Give prob of sequence ktm.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(5\/30). Is -19\/2 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 9*p**2 - 8*p - 14. Calculate the remainder when 20 is divided by d(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.403 - 0.403173. Round p to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 o when three letters picked without replacement from boooobobbooooooobb.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5165340 a multiple of 985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.6 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 10*a + 4. Let v be r(10). Suppose 7*i - v*i = 0. Suppose 0 = 3*o - i*o - 24. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2. Let o(w) be the second derivative of -13*w**4\/2 - 373*w. Determine m(o(j)).\nAnswer: -18252*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*n + 2 = 0, 0 = 5*k + 4*n - 3*n - 18. Let u(b) = 3*b**2 - 4*b**2 + k*b**2 - b**2. Let z(q) = 2*q**2. Calculate u(z(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z - 174. Let b be r(-39). Find the third derivative of 13 - b*g**2 + 96*g**2 + 50 - 206*g**3 wrt g.\nAnswer: -1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -5 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, n: 1, v: 1, i: 4}. What is prob of picking 4 j?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 4:54 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4836?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 i, and 1 p when four letters picked without replacement from pppzpzppppipi?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2300 - 5?\nAnswer: -2305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 88 = -4*i, -v - 7*i = -3*i - 32. Determine r so that -28*r**2 - 2 + v*r - 61 + 63 + 4*r**3 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2. Let d(f) = 31*f - 81. Let p(o) = 14*o - 36. Let j(u) = -5*d(u) + 11*p(u). Calculate -6*j(b) - 26*z(b).\nAnswer: 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36026 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/70 and (-650)\/(-91) + -8 + (-166)\/(-70)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + r**2 + 0 + (-9 + 3 - 104 - 105)*(-5*r**2 + r**2 - 6*r**2).\nAnswer: 2151*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -10*o**3 - 14*o + 24. Let n(m) = -5 - 4*m**3 + m**3 + 3*m + 4*m**3 + m**3. Let j(s) = -14*n(s) - 3*r(s). Differentiate j(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + l + 0 = -2, 5*z - 2*l - 15 = 0. Let c = 12 - 4. Let k = c - z. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeqebjfbqebqbeqj. What is prob of picking 1 f and 2 q?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867.48345 rounded to the nearest ten?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17934 + -17600. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 10*k**2 + 3*k - 84. Let c be o(-11). Solve -4*y + 38 = 2*a + 16, c*a - 3*y = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -26. Let l = 119 - m. What is l rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -72\/23, 6291, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 324*t**3 - 9360*t**2 + 8128*t - 1792 = 0.\nAnswer: 4\/9, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -32*b + 1008. Let g be m(31). Solve 103 = -g*w + 7 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54, -5, -2, 110 in descending order.\nAnswer: 110, 4, -2, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:18 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 7*o**5\/90 - o**4\/6 - 4*o**3\/9 + 4*o**2\/9 + 10*o. Suppose g(x) = 0. Calculate x.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0*k - 3*k - 3, 0 = 5*o + k - 16. Suppose 0 = 3*y - o*x - 60, -112 = -5*y + x - 2*x. What is the remainder when 63 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266b0 (base 14) in base 10?\nAnswer: -94626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122121000122211 + 11?\nAnswer: -122121000122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r - 6. What are the prime factors of b(-15)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1320, -0.86, -1, -19, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u - 15 = 0. Suppose 0 = -2*v + 24 - 6. Factor -b - 3*b - 12*b**2 - v*b**u + b.\nAnswer: -3*b*(b + 1)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 8. Let t = w - -1.1. Let y = t - 0.05. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)\/(v**(1\/10)\/v*v)*(v**(-3))**(-3\/7))**(3\/2) assuming v is positive.\nAnswer: v**(669\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1400\/(-66500)*(100\/(-12))\/(-5)*1\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38727, 38718, 38701, 38676, 38643, 38602?\nAnswer: 38553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28595 - -28593. Let a(v) = 2*v - 1. Let t(u) = -u + 1. Determine y*t(r) - 3*a(r).\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 15*d + 13. Determine q(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4.8 and 1\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + (16 - -8) - (-7 - -12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -50*f**6 + 5*f**5 + 5*f**3 + 3*f**2. Let z(d) = -d**6 + d**5 + d**3 - d**2. Let q(w) = -y(w) + 5*z(w). What is the third derivative of q(h) wrt h?\nAnswer: 5400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11332.\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 3, -1, 38 in increasing order.\nAnswer: -2, -1, 3, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290142 is divided by 6057.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, 189, 519, 981, 1575?\n\"Answer: 66*l**2 - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let h(q) = -6*q - 135. Give b(h(a)).\nAnswer: 36*a**2 + 1620*a + 18225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -190*y**3 - 2*y**2 + 12*y - 17. Is k(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(1\/14)))\/(d*d**7*d))\/((d**(2\/5)*d)\/d*(d*d**(-2))\/d) assuming d is positive.\nAnswer: d**(-523\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**2*y**4 + 3*k**2*y**2 - 13*k**2*y - 34*k**2 + 1403*y**4 - 4 wrt y?\nAnswer: 120*k**2*y + 33672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 28.067. Let p = c + 76.067. Let g = 74.2 - p. Round g to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 5. Let z = j + 8. Let g be (3 + -2)*20\/z. Which is the biggest value? (a) -0.3 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 2\/51, 2?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*n + 4*n + 0*n)*(-n - n + n) + 3*n**2 - 4*n + 4*n + 99*n + 4*n**2 - 99*n)*(0 + 0 + 2*n).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 18.00053. Round s to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1740 and 90?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-12)\/(-3) + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 33*j**2 - 29*j + 114. Give g(-32).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73723751 is divided by 3497.\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 676\/10 + (-4)\/(-10). Suppose 9 = 3*r - 42. What is the highest common factor of p and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -5*d + 3*h, -4*h + 183 = -4*d + 151 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 - 4*y**2 + 4*y. Let x(b) = 8*b**3 + 11*b**2 - 11*b. Let m(h) = 11*o(h) + 4*x(h). Let p(i) = -3*i**3 + i**2 - 1. Determine -4*m(u) + p(u).\nAnswer: u**3 + u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 45*z - 24. Let r(u) = -6*u**2 + 43*u - 26. Let f(k) = -2*r(k) + 3*x(k). Let d be f(16). Sort -5, d, -0.038 in descending order.\nAnswer: -0.038, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 9*x**2 - x + 14. What are the prime factors of j(5)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s. Let c(n) be the third derivative of -n**4\/4 + n**2. Let g(u) = -5*c(u) - 8*d(u). Let y(a) = 5*a**2 + 9 - a**2 - 9. What is y(g(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = r - 3*x, 0 = -3*r + 5*x - 3. Suppose r*w + a + 11 = 4*a, 0 = 5*w - a. Is w + -3 + 2 + 16 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 5*a - 296. What is o(-20)?\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/17682 and 131\/1932.\nAnswer: 813372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 33160?\nAnswer: 33160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27)*(-11)\/(-869)*-6. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6 + 2*v - 4 - v**2 + 4*v**2. What is the remainder when (-2)\/(-5) + 1716\/60 is divided by u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 4*i. Let k(s) = 6*s**2 + 15*s - 3. Let h(w) = -5*g(w) - k(w). Let r be h(0). Solve -100 = r*a - 109 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 63 = -1804*v + 1809*v, -z + 20 = -3*v for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:08 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 11\/601 (b) -1\/7 (c) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1210101111022?\nAnswer: 1210101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6703)\/21040*((-192)\/18 + 10). Let n = z - -34\/263. What is the common denominator of n and 113\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-66) + (-31 - -31)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 20*o - 12 + 16*o + 31*o + 7*o. Is r(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*y - 91 = 81*y. What is the highest common factor of y and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 9. What is g(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -121024401?\nAnswer: -121024400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-15)\/(-35) + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-9) + -2 - (-1 + 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**3\/3 + f**2\/2 - f. Let o be y(1). Let q(k) = k**3 - 2*k**2 + 12 - 2*k**2 - 11 - k. Calculate q(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*k*n**5 + 2*k*n**4 + 422*k*n - n**2 + n wrt n?\nAnswer: -3060*k*n**3 + 24*k*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - (3 + (2 - 3))) + 3535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 3, 18, 33, 48?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2442*-0.1\nAnswer: 0.02442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 97*a.\nAnswer: 97*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-189)*(-28920)\/(-12050)?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -0.5 (b) 1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**2*p - 36*j**2 - 6*j*p + 2*j wrt p?\nAnswer: -2*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2\/41))\/(y*(y\/y**38)\/y)*(y\/(y\/(y\/(y\/((y*y**(-2)*y)\/y)))*y))**(1\/41) assuming y is positive.\nAnswer: y**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 8. Let z = -1 + 13. Let y be g(z). Solve t - 5*t = -y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 5, 4, -10 in descending order.\nAnswer: 8, 5, 4, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/22917280 and 105\/7568.\nAnswer: 252090080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 533 + -61. Calculate the greatest common factor of y and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22833391 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: Which is the nearest to -0.1? (a) 1\/8 (b) 3\/5 (c) 2\/11 (d) -2777 (e) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 11142 = -11597. What is the highest common factor of 235 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4798 + -4777. Which is the third smallest value? (a) 4 (b) 12 (c) z (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 205, 316, 443, 592, 769?\nAnswer: 980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k - 22 - 62 = 0. What is the first derivative of -195*p**3 + 2 + 276*p**k - 16 wrt p?\nAnswer: 243*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6*w + 1)*(-w + 1 - 1)*(-3 + 12 - 1)*(-5 + 5 - 1).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 317462 (b) 0.111 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.011 in 1, -1\/3, 0.2, 0.051, -24, 3?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 8. Let v be h(-3). Suppose -4*y = -2*x + 108, -x + 195 = 4*x + v*y. Let k be -3*11*(-2)\/6. What is the greatest common factor of k and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1004.41, 2\/13, -2.3 in descending order.\nAnswer: 1004.41, 3, 2\/13, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j - 26. Let w = -61 - -68. Let u be v(w). Let x be (3 - 1)\/(u + -56). Does x = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9438\/(78 + -199) - 17?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 - a**2 - a + 1. Suppose 13*b - 22*b + 9 = 0. Let d(r) = r**2 + 5*r + 7. Let v be d(-5). Suppose 0 = v*w - 6 - b. Give x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -35*i + 4446*i**2 - 4450*i**2 + 55*i. Let k(b) = -b**2 + b. What is 20*k(c) - u(c)?\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4 + 5 - 4 + 31*y - 6. Is p(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let r(y) = 380920*y. What is r(n(x))?\nAnswer: -380920*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 1587\/(-27) + 31.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 8*i - 24. Let w be y(-10). Let j = w + -93. Suppose 11*c - 36 = -j. Solve c*a = 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6775 + 11899. Calculate the smallest common multiple of 5978 and b.\nAnswer: 35868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/48 and 127\/93750.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 8*m - 10. Let q be v(-6). Solve 5 - 24 = q*h - 3*x, 3*h - 9 = -3*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 136*v**4 + v**2 + 1 - 71*v**4 + 2*v - 68*v**4 as m*v**4 + w + y*v + x*v**3 + t*v**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24764, -24764, -24768, -24776, -24788, -24804, -24824?\n\"Answer: -2*i**2 + 6*i - 24768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.5449 - 3.\nAnswer: 10.5449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/47))**(-37))**(-1\/17) assuming d is positive.\nAnswer: d**(37\/799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 91140*x**3 - 1034386034*x**2 - 89463388560*x - 1927092825632.\nAnswer: -2*(x - 22828)**2*(x + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3392 and 636?\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.54 * 0.563101.\nAnswer: -1.43027654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 5*s - 2*s**2 - 5*s. Let c be q(4). Let o = -3 - c. What is the remainder when 8 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -14 + 1 + 14381 + 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 16*h - 14*h - 7 + 0*h + 2*h - h + 0*h - h + 0*h + (h + 1 - 1)*(-2 + 3 - 2) to v + m*h and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 4)*(-2*c - 3*c + 3*c) + 0 + 0 + c + 180 - 355 + 175 + 637*c.\nAnswer: 646*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 164729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.74737247 rounded to two dps?\nAnswer: 3.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 677b9 (base 12) in base 11?\nAnswer: 94477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 4 = 9*n - 2*x, 0 = -4*n + 5*x + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(32\/20))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606454962?\nAnswer: 2, 3, 1277, 79151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 804526189 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*c**2 + 36*c + 335*c**2 - 17*c - 19*c - 86*c**2 - 130*c**2.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-6 + 3)) + (2 + -8 - 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -522 + 362. Let q = -160.159 - f. What is q rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 3 - 3 + (2 + 2 - 3)*(-f + 2*f - 2*f))*(9*f + 0*f + 9*f).\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.4 + 21.399994. What is b rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 321. Let v be t(52). Let h(r) = r**3 - 6*r**2 - 25*r - 12. Give h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s + 2. Suppose 32 = -3*i + 35. Suppose 22 = 7*k + i. Suppose 13 = -0*w - k*w + 4*n, 4*w + 4*n = -8. What is q(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2\/17 (c) -3 (d) -5\/12 (e) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Let r(k) = k**2 + 21*k - 64. Let z be r(d). Put z, 4, 1 in decreasing order.\nAnswer: z, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**7\/42 - r**6\/8 - 5*r**5\/6 + 11*r**2 + 2*r - 6. Let k(h) be the first derivative of p(h). Factor k(f).\nAnswer: 5*f**2*(f - 5)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 (base 13) in base 12?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145477 is divided by 72727?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26440986 and 30847817.\nAnswer: 185086902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*g = 5*z - 797*g + 295, 4*z + 122 = 2*g for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/5 + 184*y\/5 + 188\/5.\nAnswer: -4*(y - 47)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**2\/2 - 2*p - 6. Let v = 29 - 36. Let f be b(v). Solve 0 = -5*y + f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/7 - 156*r**3\/7 + 152*r**2\/7 + 156*r\/7 - 22 = 0. Calculate r.\nAnswer: -1, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 3*g**2 - 5*g**2)*(6*g**2 - 6*g**2 + 6*g**2).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 882 and 112864374?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/7 - 135\/(-315)) + 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0119834 times 105\nAnswer: 1.258257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -894 by -6.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toott. Give prob of picking 2 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4845568 times 0.1?\nAnswer: 1.24845568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:16 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2722 + -1792. Suppose 0 = 4*h + 3*x - y, -8*x + 4*x = -4*h + 944. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*w - 94991, 3*o + 5*w + 30933 = -26052. What is o rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 5300.\nAnswer: -1\/1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 25\/((-750)\/342) + 4\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11998085399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 72.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/3*-1)\/1. Let k be f\/6 + (-798)\/(-36). Solve 3*p = -4*n - 7 - 3, -5*n = -p + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*s + 96*s + 37*s + 46*s.\nAnswer: 125*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/3)\/((-4)\/6). Let d = 149 - 146. Solve v - 1 = d*x - v, -23 = x + y*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -2 (c) -70\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49472, 98843, 148096, 197231, 246248?\n\"Answer: -59*t**2 + 49548*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1085 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 12 = -30*t. Let z(x) = x**3 + 6*x**2 + 2*x + 3. Determine z(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {a: 1, x: 7, i: 8, l: 4}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 44 - 532. Suppose -2*x - 4*x = -z. Does 32 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than 14.159049?\nAnswer: 14.109049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 5. Suppose 3*f = -w - 4, -5*w + 6 = 3*f + 14. Let d be y\/10*(-1 - f). Solve 2*j + 5 + 1 = d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348894522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7076 is divided by 3517.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -94*a. Let o be t(-1). Let s = o + -88. Let l(b) be the third derivative of b**4\/24 - b**3\/3 + 7*b**2. Give l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*v**2 + 485*v**2 - 200*v**2 + 14*v**3 - 413*v**2.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 5*a**3 + 50*a - 87*a - 64*a.\nAnswer: 9*a**3 - 101*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/36 and -20\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 - 408*p**2 + 7552*p = 0.\nAnswer: -118, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209\/1157 - 269884\/1884753. Calculate the common denominator of v and -5\/42.\nAnswer: 22806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10527748 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from pyymrmpmpmpyypmrpm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 6*g**3 + 0*g - 12 + 15 - 3*g**3 + 8*g in the form s*g**2 + k*g + i + q*g**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804471049?\nAnswer: 29, 31, 211, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(8*f**2 - 4*f - 2*f - 11*f**2).\nAnswer: -3*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 2055827.\nAnswer: -8223308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6960293 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 1 - (29 - 23)) + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -31 - d**4 - 3\/5*d**5 + 0*d + 0*d**2 - 74\/3*d**3. Find the third derivative of j(l) wrt l.\nAnswer: -72*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o = 6*q - 10, 2 = q. Which is greater: -1731 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 2*v + 80. Suppose 13*c = v*c - 1083. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:49 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + (sqrt(500) - ((0 + sqrt(500))**2 + 5)) + sqrt(500))*-6 - (1 + (-2 + 1 + sqrt(500)*2 + sqrt(500))*6)**2.\nAnswer: -159011 + 1680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 633 and 5486.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0258523989 rounded to 5 dps?\nAnswer: 0.02585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/8 - 1533*a**2\/8 + 37905*a\/8 - 36375\/8 = 0 for a.\nAnswer: 1, 25, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Suppose -x*a - 5 = -5*a, -a - 1 = d. Let n be d\/(-18) - (-1)\/(-3). Let j(c) = c**3 + c**2 + 7. What is j(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1276726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 110083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6)\/((-2)\/(-12)). Suppose 3*b = -3*m + 108, 0 + z = m. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + 2 + sqrt(48))*-1 + -2.\nAnswer: -8 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*y - 24, 3*c - 8 = 4*c + 2*y. Factor -6*h**2 + 0*h**2 + 4*h**c.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 23*r**2 + 47*r - 72. Let u be l(-25). Suppose 5*z - 2*x - 2454 = -4*x, 0 = z + u*x - 483. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5188651 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3045.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.5, -0.4, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33062*o**3 + 11031*o**3 + 57*o + 11028*o**3 + 11016*o**3.\nAnswer: 13*o**3 + 57*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 2200.\nAnswer: 7\/2200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**3\/6 + 114*b. Let x(r) = -78*r + 53. Let o(d) = 5*a(d) - x(d). Differentiate o(l) wrt l.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.85 - -0.15. Let b = -28 + 28. What is the biggest value in m, 2\/7, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/60 - f**4\/12 + 2*f**2. Is y(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/60 + 8*x**2. Let z be (-346)\/(-10) - (-8)\/20. Let w(l) = 7*l**2 + 14*l**2 - z*l**2 + 33*l**2. What is j(w(o))?\nAnswer: -361*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 10. Let f = 8 - l. Which is the closest to f? (a) 0 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -23, -0.7?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031149184 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 13*c**2 + 21*c - 28. What is o(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/27)\/(8\/(-114)). Is 11 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2908121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*b + 32, b - 5*g + 2*g + 12 = 0. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 7\/321, -0.1?\nAnswer: 7\/321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5716 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4443 (base 5) to base 10.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - -0.7. Let h = 1 - u. Is h bigger than -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 19*c - 16. Let u be x(6). Calculate the greatest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 858*w + 862*w - 216, -l + 16*w = 894 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 6. Let z be i(5). Let k = 63 - z. Let n = k - -42. Sort 0, n, -3 in ascending order.\nAnswer: -3, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8 and 502.0028.\nAnswer: 501.2028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-24)\/32) - -7) + 60\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 689*q**3 - 2*q**2 + 1. Let u be s(-1). Let w = -295 - u. Suppose 0 = 9*c - 4*c - w. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6343586*p**4 + 10303940*p wrt p.\nAnswer: 76123032*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01100548088 rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 949127960.0007195 + -949130334. Let r = i - -2374. What is r rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7561 + -0.5\nAnswer: -7561.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 31.21762.\nAnswer: 31.21762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3.6, 0.07 in descending order.\nAnswer: 18, 3.6, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -85 (b) 2\/233 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -964879 divided by -1\nAnswer: 964879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 83705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*j - 3, -j + 4 - 22 = 3*h. Let w(r) = r**3 + 8*r**2 - 10*r + 3. Determine w(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 23864 = 68136. What is m rounded to the nearest one thousand?\nAnswer: 92000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5763 and 1020?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*843029\nAnswer: -2529087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 908128798058 and -781?\nAnswer: 908128798839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -16*66\/110*(-25)\/30. Factor -j**2 + 1\/3*j**3 - 28\/3 - g*j.\nAnswer: (j - 7)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 0*n = 2*n + 9, 12 = a + 5*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.394 and 0.18.\nAnswer: -0.43092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 838 - -1772?\nAnswer: 20aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141058.\nAnswer: 2, 70529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + -2 + -1.\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)\/v**(-6)*(v**(-1\/3)*v*v)\/((v\/(v**(-2)\/v))\/v) assuming v is positive.\nAnswer: v**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1357 = -29*o + 24498 - 1205. Solve -136 = -833*x + o*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -3, 4, -5, 0, 23 in decreasing order.\nAnswer: 23, 4, 0, -3, -5, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 15) + (-8 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 15. Suppose -2*u + 5*u + 4*v - 37 = 0, -2*u = -2*v - l. Suppose -28*c + 25*c + u = 0. Solve -w = 5*d + 13, c*d + 19 = -0*w + 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p**2 + 12*p - 9. Let x(n) = -n**2 - 11*n - 7. Let q be x(-9). Let o = q + -2. Let y be h(o). Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 5*v + 26. Let n be m(-10). Let x = -175 + n. Sort 27, x, -1 in decreasing order.\nAnswer: 27, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.916*-0.3\nAnswer: 0.2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21116 + 4*o - 10924 - 10585 to the form j + t*o and give j.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:46 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -558*d + 530*d - 314 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-7)\/i)\/i*i)\/i)\/i**(-2\/9)*i**(3\/8)\/(i*i*i\/i**(-2\/23)*i)*(i\/(i**1*i))**(9\/4)*(i\/(i\/(i**(-7)\/i)))\/i**(-6) assuming i is positive.\nAnswer: i**(-26065\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.059, -2, 88, 4\/3 in increasing order.\nAnswer: -2, -0.059, 4\/3, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -5*o**4\/6 + 37*o**3\/6 - 3*o**2\/2 + o + 19. Let s be l(3). Calculate the highest common factor of 14 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/11 + 5\/33. Which is the second smallest value? (a) 3 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*c + i - 260, 0 = c + i - 106. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4028\/13 + -310. Let x = -51564 + 464078\/9. Which is the biggest value? (a) x (b) 2\/21 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -50*u**2 + 15*u - 15. Let f(s) = -7*s**2 + 2*s - 2. Let o be ((-35)\/14 + (-2)\/(-4))*-1. Calculate o*q(a) - 15*f(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - 4*p**4 + 3*p**4 + (1162*p - 1162*p + 13*p**2)*(-3*p + 3*p + 2*p**2) in the form a + f*p**2 + w*p**3 + h*p + r*p**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k - 38. Let u be b(8). Let t be (-1)\/((-2)\/u - 0). Suppose m = -y + 10, 3*y - 1 + 6 = 4*m. Solve -5*a = -n - 23, -m*a + 2*n = -n - t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o + 4*o - o)*(-o - 1 + 1) - 4*o**2 + 3*o**2 - 2*o**2 + 5*o**2 - 3*o**2 - 3*o**2 + 0 - o**2 + 2 + 3 in the form r + f*o**2 + t*o and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 + 25*v + 65)*(v + 6 - 1 - 3) to the form x*v + s + p*v**2 and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v - 8 = 0, 0 = 5*d - v - 6. Suppose -5*w - 8 = 4*b - d, 3*w = b - 7. Let k(c) = 12*c - 21*c - b + 8*c - 5. Give k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**4 + 0*n**4 + 4*n**4 + (-n**4 + 0*n**4 + 0*n**4)*(1 - 1 - 1) - n**4 + n**4 - 2*n**4)*(-13*n - 14 + 29 - 14).\nAnswer: 26*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/372589 and -2\/153.\nAnswer: 3353301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:08 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6) + 6 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-1\/5)*j)\/j)\/j*j\/(j*j**(2\/29))*j*j**6*j\/((((j**(-1\/6)*j)\/j)\/j)\/j*j*j*j))\/(j*j**8*j**(1\/5))**(1\/14) assuming j is positive.\nAnswer: j**(8819\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 652*d**2 + 0*d - d + 112 - 653*d**2 - 118 + 6*d**3 + 0*d as r + b*d + y*d**3 + g*d**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (54\/45)\/(15\/25)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51.9 - -0.05386\nAnswer: 51.95386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, -5 in descending order.\nAnswer: 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 7*n - 3. Let g be x(-7). Let d(p) = 2*p**2 - 3. What is the units digit of d(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**3 - 9*i**3 + 0*i**3 - 4*i**3.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -503, -510, -519, -530, -543, -558?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -c?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/(-70))\/(((-9)\/(-6))\/(60\/16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/5 - (-24)\/120. Suppose -2*f - 48 = -u*k, 5*k + 0*k - 46 = -f. Solve k + 2 = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174218 is divided by 2373?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/24 + 1136\/(-3). Let c = 378 + b. Find the common denominator of c and 67\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.95 + 0.6. Let y = p - -0.18. Let i = 10144 + -10143.9. Is i <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162*(4896\/(-1632))\/(6*1).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.68, 0.1, 5, -0.4 in ascending order.\nAnswer: -0.68, -0.4, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and -39.315.\nAnswer: 58.9725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 7, e: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (11 - (-6 + 12))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 157?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -5. Let j = -10 - c. Suppose -3*a + j*g = -20, 0*a - 5*g = a + 25. Solve a = -3*h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12450 (base 7) to base 3\nAnswer: 11112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -69. Let h be 3\/4 - (-3 - (-65)\/j). Factor -1\/4*q**2 + 1\/4*q + h.\nAnswer: -(q - 2)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 4, r: 1, t: 1}. What is prob of sequence ss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*u - 405 = 139*u + 132*u - 428*u for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -38143233 equal to -38143233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ytyttt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 4*v = 27*p - 44, p - 3*v = -17. Let u be 4\/64 - 126\/p. Factor 0 + 0*x**u - 2\/13*x**5 + 0*x**2 + 2\/13*x**3 + 0*x.\nAnswer: -2*x**3*(x - 1)*(x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -15858.\nAnswer: 2\/7929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40298*z - 2*z**3 + 19852*z + 5*z**3 + 20446*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e1 + 5?\nAnswer: -8db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((10\/8)\/((-14)\/588))\/(-3))\/((-285)\/(-570))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdbs when four letters picked without replacement from bbzsbsdsszsbs.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 - -131. Let n = v + 124. Suppose -4*f - 2 = -10. Solve f*a = g - n, 3*a - g + 0*g = -1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4556415 millilitres in litres?\nAnswer: 0.0004556415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 1*-5) + 72\/(-18). What is the third derivative of 8*v**2 + 12*v**b - 3*v**2 - 3*v**2 + 15*v**5 wrt v?\nAnswer: 900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4841842*i**2 - 1668478.\nAnswer: -9683684*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 15*l**2 - l + 4. Let d(i) = -3*i**3 - 30*i**2 - 2*i + 9. Let g(h) = -3*d(h) + 5*n(h). List the prime factors of g(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294514357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**3*k - f**3 + 52*f**2*k + 8115164*f**2 + 474422*f*k + f + 3 wrt k.\nAnswer: -3*f**3 + 52*f**2 + 474422*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((-37007)\/(-3218) - (1 + (-26)\/4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -87652426, -87652424, -87652420, -87652414, -87652406, -87652396, -87652384?\n\"Answer: w**2 - w - 87652426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 2*d - 4*d)*((-1 + 2 - 2)*(d + 2 - 2) + d + 0*d - 2*d - d - 6*d + 13*d) as u + q*d + p*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11505, 45976, 103425, 183864, 287305, 413760, 563241, 735760?\n\"Answer: 2*t**3 + 11477*t**2 + 26*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5908 and 7.\nAnswer: 5908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1164, -1751, -2038, -1875, -1112, 401?\nAnswer: 2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/45 and -127\/2870.\nAnswer: 25830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 15 = 5*w, 5*b - 3301 = 2*w - 3319 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1579844302290 and -0.07?\nAnswer: 1579844302290.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 53*o**6\/24 + 187*o**5\/3 + 13405*o**4\/24 + 245*o**3 - 1599*o**2 - 2*o. Solve l(n) = 0 for n.\nAnswer: -7, -6\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 3*k**2 + 146*k - 181. Give x(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28048 + 21368 = 1780*a + 6736 + 96944 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/((n\/n**8)\/n))**(-2\/25)\/((n**(-2\/7))**(5\/7))**39 assuming n is positive.\nAnswer: n**(9064\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1338 divide 52145350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 - 7*v + 1. Suppose -5*f + 6 = -7*f. Let m be o(f). Let l = 4 + 0. Solve -3*a + a = 0, a = m*c + l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -97.521?\nAnswer: 97.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - j**2 - 6*j - 10. Give a(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -709.59 - -687. Let o = l - 0.41. Let d = -20 - o. Which is the smallest value? (a) 2 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8160)\/(-18060) - (2\/4 + 3\/(-42))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167285 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -m + 282, 404 + 64 = 5*g + m. Calculate the remainder when g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 262500 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:13 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/18)\/(12\/54).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 22 - 133390*h + 133389*h + 4)*(2*h**2 + 0*h**2 - 5*h**2).\nAnswer: -3*h**5 + 3*h**3 - 78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 86. Factor 2\/7*p**3 + t*p**2 + 0 - 2\/7*p.\nAnswer: 2*p*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -1\/6*s**3 + 0 + 15*s**2 + 7\/60*s**5 + 0*s + 1\/12*s**4. Calculate the remainder when g(6) is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/216 and 57\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -391040 divided by 7520\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d76a + -9?\nAnswer: -3d774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*v**4 + 15*v**3 - 36*v - 4 wrt v?\nAnswer: -168*v**2 + 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/33 + 3)*12\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10061620.\nAnswer: 2, 5, 17, 101, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92573391 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c. Suppose c = 5*f - 0*f - 105. Let n = -7 - -7. Solve n = 3*z - f + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:47 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*p**5 + 7984*p**4 - 170356*p**3 - 676192*p**2 - 714960*p - 217152 = 0. Calculate p.\nAnswer: -2, -1, -6\/11, 29, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3564 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(120)\/sqrt(3))\/(6*(2*sqrt(8) + sqrt(8))).\nAnswer: 5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 3:22 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 40*i**2 + 6*i + 393. Is k(-41) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-0.04.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*g**3 - 221*g**3 - g**2 + 644*g**3 - 222*g**3 + g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 99*l + 885. Calculate v(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185 - -195. List the prime factors of s\/(-4 - 30\/(-6)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**6\/33 - 6*m**5\/55 - m**4\/22 + 14*m**3\/33 - 8*m\/11 - 7. Suppose y(r) = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 12:16 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 - 129. Let m = g - 91. Solve 3*a - 4 = m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (1 - (-4 + 2)). Factor 10\/3*o**k + 5\/3*o + 1\/3 + 5\/3*o**4 + 1\/3*o**5 + 10\/3*o**2.\nAnswer: (o + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1115*k - 2 + 57*k + 139*k - 167*k in the form p*k + z and give p.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 10708296*m - 28666900805904.\nAnswer: -(m - 5354148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x - 1044. Let s(t) = -276*t. Give v(s(c)).\nAnswer: -1656*c - 1044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.3, 1.1, -1\/6, -95, 9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7521 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(65) + ((sqrt(65) + sqrt(65) + (sqrt(65) - sqrt(65)*1) + sqrt(65))*-4 - sqrt(65)) - sqrt(65)))\/((sqrt(165)\/sqrt(12))\/(5*sqrt(33)\/sqrt(3))).\nAnswer: -3900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcr when three letters picked without replacement from {c: 1, b: 2, r: 3, a: 10, d: 1}?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.64781 and -0.3?\nAnswer: -0.194343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -592*p**3 - 14*p**2 - 41*p - 38. Give n(-2).\nAnswer: 4724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 + 122*h**2 - 55*h**2.\nAnswer: 85*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3630523 rounded to the nearest ten thousand?\nAnswer: -3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*b + 11 = 0, 4*x + 826*b - 825*b = 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7868 is divided by 314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100011000000010 + -1001?\nAnswer: 100001100010111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2189936, -2189666, -2189216, -2188586, -2187776, -2186786?\n\"Answer: 90*i**2 - 2190026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 105 = -89. Suppose 0 = -v - 0*v - k, -v - 4*k + 6 = 0. Let t = 1.2 + -1. Which is the nearest to -2\/13? (a) p (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let f = 3430 - 3414. Put 0, 1\/3, f, n in descending order.\nAnswer: f, n, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 3, q: 2, i: 5, y: 2}. Give prob of sequence iqed.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u - 78. Let p = -32 + 52. Let c = p - u. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (16 - 2 - (61 - 60)) + (13 - -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -759?\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1223300 + 2?\nAnswer: -1223232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34650 and 7700.\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488379 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: Solve -288 = -10*k - 26*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 645*b - 59. Let y(m) = 23*m - 1. Determine x(y(h)).\nAnswer: 14835*h - 704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 36000*h**2 - 1\/12*h**4 + 1\/20*h**5 - 5*h + 0 - 1\/6*h**3. Let f be l(0). What is f rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*z**2 - 4\/5*z + 2\/5*z**3.\nAnswer: 2*z*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*c = -19, 0 = l + 5*c - 6*c + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -12 - 36) + 3 - -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 8:55 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 - 2*x**3 + 5*x**3)*(-x - 13*x - 7*x).\nAnswer: 21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(30\/(-8))*(-15)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:50 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 370593176 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1257.00045922 + -1257. What is g rounded to five decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40523 (base 9) in base 5?\nAnswer: -1323140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 73 - 19*r)*(3 + 3*r - 3)*(4*r**2 + 0*r + 0*r + r).\nAnswer: -228*r**4 - 57*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4644.3021 rounded to the nearest integer?\nAnswer: -4644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*d - 4, -3*d = -j - 4*j + 40. What is the remainder when 64 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1470) - (sqrt(1470) - sqrt(1470)*-4)) + sqrt(1470))\/(sqrt(36)\/(sqrt(12)\/sqrt(2)) - 4*sqrt(12)\/sqrt(2)).\nAnswer: -175*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**5 + 16511*y**4 - 2*y**5 + 3 - 16926*y**4)*(-3 + 2 + 5).\nAnswer: 8*y**5 - 1660*y**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71450 is divided by 71437.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 58?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 - (-1 + (-10 - -2) + 0). Let g(r) = -9*r - 2. Let m(l) = -l + 1. Give v*g(f) - 2*m(f).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*g = -5*i - 702*g - 36, 0 = -4*i + 17*g - 15 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25675 + -25570.39. Round y to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 8 - 6) + 0 + -5 + 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38623901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + 72 - (7 + -2 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 5419560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3 + 57. Suppose 55*o - 345 = -125. Solve 4*p - 2*g = 2*p + o, -5*g = 5*p - f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + 2*l)*(10*l**3 + l**4 - 10*l**3) - 2*l**5 + 3*l**5 + l**5.\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2*3)**2 + -2 + 3 + sqrt(304).\nAnswer: 4*sqrt(19) + 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:38 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6659899 plus -4?\nAnswer: 6659895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 0*o + 0*o + (0 - 3 + 1)*(2*o + 0*o - 3*o) + 25*o + 19 - 19.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -216 + 417. Suppose 0 = -4*i + m - 45. Calculate the remainder when 153 is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681035413 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591, -634, -665, -678, -667, -626, -549, -430?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 9*c**2 - 311*c**3 + 20.\nAnswer: -311*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 3126*m + 173455256.\nAnswer: -2*(m - 10127)*(m + 8564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97319905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 773 - 1209. Let a be (-4)\/18 - t\/18. Suppose -10 = -2*u + b + a, u - 23 = 2*b. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3252*j + 3202*j + 9980*j - 583*j.\nAnswer: 15851*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**6\/120 - p**5\/60 + p**4\/24 - p**2 - 2*p. Let f(h) be the first derivative of m(h). Give f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186457 is divided by 923?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 507153.146 rounded to the nearest 1000?\nAnswer: 507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose -b - 4 = 3*r. Let a be 3*r\/(-6)*-3. Let w(m) = -m**3 - 2*m**2 + 3*m - 4. What is w(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.426 * 1.077.\nAnswer: 0.458802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 55*m. Let s(g) be the second derivative of -1\/12*g**4 + g - 61 + 0*g**3 + 0*g**2. What is s(r(t))?\nAnswer: -3025*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013569 rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 105237 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -4*n - 3*x - 70, -x = -n + 16. Suppose n*a - 177 = 32. Calculate the highest common factor of a and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4\/13))\/(d\/(d\/d**(18\/7)*d)))**48 assuming d is positive.\nAnswer: d**(-3840\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*y - 3*y. Solve 0*a = -2*a - y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 58 + 0\/(-4). Let i = a - 23. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61112400*l**6 + 1830*l**2 + 33980 wrt l.\nAnswer: 7333488000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 12) to base 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2. Let q = -2 + 4. Let r be (-3)\/((2\/4)\/((-15)\/10)). Let l(y) = 4*y + r*y + y**q - 13*y. Determine l(p(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {p: 4, i: 2, a: 4, b: 2, k: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 10*q**2 - q. Let y(h) be the first derivative of 0*h + 0*h**2 + 4 - 1\/3*h**3. What is u(y(d))?\nAnswer: 10*d**4 + d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -717 and 9.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-912)\/72)*-2*(-1)\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3210)\/(-135) - 2\/(-9). Let m = 38 - w. Suppose 3*l = -14 + m. Let q(s) = s**2 + 3. Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/40, 40, 1\/2?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/37980255?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:50 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 2 + 743 + -743.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(v**3 + 2*v**5 - v**3).\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-216)\/272) + 2\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*j**2 - 5214*i**3 + 2*i**2*j**2 - 18*i**2*j + 31*i**2 - 16*i*j**2 - 1573*j**2 - 1 wrt j?\nAnswer: -6*i**3 + 4*i**2 - 32*i - 3146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/60)\/((36\/6)\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 255232*d**3 + 2 + 200*d**2 + 2*d - 4 - 3*d - 255235*d**3 as t*d**2 + i*d + b*d**3 + o and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -52564, -85, 4, -4 in ascending order.\nAnswer: -52564, -85, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*c - 52*c - 92*c - 60*c + 2.\nAnswer: 27*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 6*p**2 + 2*p - 6. Let g be h(6). Suppose -5*v - 5 + 15 = 0. Suppose -v*n + g*n = 0. Solve n*f = -f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + (-75697)\/(-6785))\/(3\/(-10)).\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1084375282 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-91)\/56*4*(-4872)\/754\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, j: 17}. Give prob of sequence jjpj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44029.73 millilitres to litres.\nAnswer: 44.02973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 1)\/(1\/431). Let w = k - 3431\/4. Find the common denominator of 81\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*p - 1 + 4 - 4*p**4 - 9*p wrt p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5287 = 610*v - 11183 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-15) + 352\/60. Let n = -3 + g. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*212.\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8014*-0.039.\nAnswer: -312.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -14. Suppose 4*z = -5*y + 43, 3*y = -y - z + a. Let p = 8 + -4. What is the least common multiple of y and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4055249836 to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133905628 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 4. Let b(w) = w**2 + 2*w - 3. Let s be b(q). Suppose -2*z - 3*d + 47 = s, -2*z - 3*d = d - 52. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 6*m - 29050. Does 83 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.641466 to zero dps.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**5 - 5*u**5 - u**5)*(-63 - 67 + 52) - u**5 + 3*u**5 - 4*u**5.\nAnswer: 154*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**4\/12 - 24877*m. Let f(l) = 1. Let u = -1 - 0. Let t(o) = -44*o + 264. Let y(p) = u*t(p) + 264*f(p). Determine n(y(i)).\nAnswer: 1936*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -107*u**3 - 8*u - 8. What are the prime factors of i(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + t**2 - 1. Let g = -37 + 40. Suppose s - 1 = 2*q, s - q - 3 = g*s. Let k be j(s). Solve k*z = -z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3815025?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2248*f - 2245*f - 163*i = -117, -3*f + 2*i = 117 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 2*r + 1, -5*n + 4*r = -8. Let x(j) = -j**2 - 3*j + 1. Let m be x(-4). Let i be 1 - m\/(n + -1). Sort 2\/5, i, -3 in descending order.\nAnswer: 2\/5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/50 - (-4)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.76114 * -138\nAnswer: 105.03732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 0, -3*j - 9*v + 5*v = -36. What is the greatest common factor of j and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) 173.58 (c) 23\/3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 5*x + 7 - 4)*(-4*x**3 + 3*x**3 + 4*x**3) as y*x**4 + c*x**3 + r*x + k*x**2 + h and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.2, 10.2, -3\/2, 3\/10 in increasing order.\nAnswer: -3\/2, -0.2, 0.2, 3\/10, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1710555 and 390984?\nAnswer: 13684440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -249712 divided by 15607?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = s + 80, 35 + 30 = 3*f - 4*s + 20 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 2)*(38 - 37)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9576\/(-20)*((-19884)\/9920 - -2). Let q = -1\/775 - r. Find the common denominator of q and 101\/166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 4*i**2 + 3*i - 6. Let p be k(-4). Let j(q) = -3*q + 12. What is the units digit of j(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p + 74 + 66 + p**2 - 138 to the form h*p + r + a*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 3*l**2 + 2*l + 3. Let v be k(-2). Let f be 2 - (-156)\/(-38) - -2. Suppose -22*h - 11 = 11. Which is the closest to h? (a) 0.1 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-180 + 2)\/(27 + -29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.04 + -5.04. Let d be 1 - (-2)\/(-1) - 8. Let p = d - -13. Which is the smallest value? (a) m (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8322?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 655209 and 1989894.\nAnswer: 53727138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*m + 2*m - 71 = 0, 2*m = 2*l - 58. Suppose -2*f + 2 = -k - 4, 4*f - l = -4*k. What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)\/d*d**(-12) assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -1. Determine q so that i - 8 + q**2 - 4*q - 4*q**2 + 4*q**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-280)*(-20)\/(-54)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(95) + sqrt(95)*2 + sqrt(95) + sqrt(95))*1)\/((sqrt(60)*4)\/sqrt(12)))**2.\nAnswer: -475\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 25\/17901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 228720 (b) -0.1 (c) 4.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*t**3 + 4*t**3 - 4*t**3)*(3 - 4 - 5) + t**3 + 5*t - 5*t)*(-1 + 2 + 1)*(-13*t - 7 + 7) in the form u*t + o*t**2 + m + g*t**4 + w*t**3 and give g.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10 + 3 - 3 + 3 - s**2. Determine g(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 17, -20, -91, -208?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/7)\/f**(6\/5)*f*f\/f**(-4\/5)*f**3 assuming f is positive.\nAnswer: f**(151\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 73708*o**2 + o - 73659*o**2 + 3*o)*(-4*o**2 - 84*o + 84*o) in the form n*o**3 + z + k*o**4 + g*o**2 + l*o and give k.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693074.\nAnswer: 2, 1346537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7608, -7311, -7014, -6717?\nAnswer: -6420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -53\/2, -1, -1083, -2, 1\/2 in decreasing order.\nAnswer: 1\/2, -1, -2, -53\/2, -1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -306*a**5 + 6*a - 4 wrt a?\nAnswer: -6120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.938229 rounded to two dps?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:40 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -179086 <= -179084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.6 - 52. Let g = -35.3999912 - m. What is g rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -252 + 253. Let h(o) = 24*o**3 - 18*o**2 - 18*o + 18. Let w(b) = b**3 - b**2 - b + 1. Determine d*h(f) - 18*w(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 284939891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.344 - -63532?\nAnswer: 63531.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -3 + (5 - (-62 - 18)) + 1?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 6 = 0. Suppose 7*q - h*q - 20 = 0. What is the first derivative of -3 + 3 + 1 + o**q wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**7\/210 + b**6\/40 + b**5\/30 - 8*b**2. Factor k(v).\nAnswer: v**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/67, 5, -1, -2\/23, -53.9 in ascending order.\nAnswer: -53.9, -3, -1, -2\/23, -4\/67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 49 = 151. Is 20 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -10. Solve 3*o - w + 10 = 0, -4*w + 10 = 2*o - u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -986, 0, 2, -2 in decreasing order.\nAnswer: 2, 0, -2, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*u - 21*u - 20. Let g be 2\/((-4)\/314) + 40\/u. Let f = -68 - g. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 906*d**2 + 1. Suppose 0 = -5*o - 5*c + 5, 2*o - o + 9 = 4*c. Is n(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 0*h = -h + 10, 2*h + 135 - 173 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031464 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 76c?\nAnswer: -76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1700)*2)**2*3 - (-2*sqrt(1700) + -3)**2 - 4*(sqrt(1700)*1 + sqrt(1700) + 0))*5.\nAnswer: -1000*sqrt(17) + 67953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -337857 (base 10) in base 8?\nAnswer: -1223701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/420*15\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*h - 1, 5*h = -2*o - 486. Let s = -161 - o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*21)\/(10\/8*189\/(-315))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74768*q*w**3 + 6*w**3 + 336*w + 1 wrt q.\nAnswer: -74768*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = t, 28*h = -32*h + t + 43 + 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 10 = 5*i - 3*i, -5*c + 15 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - -2e2c6?\nAnswer: 2e29d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-1)\/1)*26\/6. Suppose -936 = -w*j + 7*j. Calculate the highest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50390 is divided by 1737.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from poo?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 22, 1\/3, -19, 0.2, 1\/2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.57 - -3.56939. What is h rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.68 + -1.7. Let i = -0.18 + d. Sort -12, i, 3 in decreasing order.\nAnswer: 3, i, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*m**5*n - 6*m**5 + 9*m**2*n - 244*m - 131*n wrt m.\nAnswer: 700*m**3*n - 120*m**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11472, -22941, -34410?\nAnswer: -45879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014951 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16587895.\nAnswer: 5, 43, 77153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdd when three letters picked without replacement from {h: 2, d: 3, t: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*c**5 - 22742*c**4 + 167046*c**3 - 238092*c**2 - 245440*c - 40896 = 0. What is c?\nAnswer: -639, -1\/2, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 132171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*515976\nAnswer: 206390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4291b (base 14) to base 4\nAnswer: 213102231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 4*p**2 + 6*p + 1. Let m be c(5). Suppose 0 = -0*r - r + m. Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and 18541?\nAnswer: 18540.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + (1 - -6). Let f be (-11)\/(-3) - (-2)\/g. Suppose -m + 1 = 5*o - 26, 0 = f*m - 3*o + 7. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snq. Give prob of sequence qns.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**8\/896 - 11*m**7\/1680 + m**6\/64 - 3*m**5\/160 + m**4\/96 + 8*m**2. Factor x(j).\nAnswer: j*(j - 1)**3*(3*j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1814523 by 109.\nAnswer: 16647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -205 - -214. Suppose -5*d + m*f = 10*f + 944995, -2*d - 377985 = 3*f. What is d rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60911065 to the nearest integer?\nAnswer: 7805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -72626847\nAnswer: 7262684.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-76)\/(-16) - 9\/12. Suppose -3*v + 13 = u, -7*u + 4 = -z*v - 3*u. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 559639 and 8.407?\nAnswer: 559630.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51, 167, 347, 579, 851, 1151, 1467, 1787?\n\"Answer: -2*y**3 + 44*y**2 - 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15 = -l. Calculate the lowest common multiple of l and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3) + -1 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 28*k + 2. What is r(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c + 2*c + 4*c + 0*c + 3*c**2.\nAnswer: 3*c**2 + 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**2 - 17*a - 11. Let q be h(9). What is the highest common factor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - t - 885 = -907, o - 2*t + 1 + 19 = 0 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -2 + 7 - 4\/(4\/(-1)) and (-21 + -1)*(-12)\/8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 7824 = -21*w. Calculate the remainder when 336 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 43 = 2*r, r - 6*t = -2*t + 18. Let m be (-66)\/r*(-1)\/(-3). Which is the nearest to 0.4? (a) 1 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10231, -10240, -10255, -10276?\nAnswer: -10303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = t + 4*j, 3*j + 33 = -9*t - 2*t + 146 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 35*n. Let i(p) = 32176*p**2. Give m(i(a)).\nAnswer: 1126160*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3557 + -3?\nAnswer: -3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + v**2 + 0*v**3 - 11 - 2*v + v**3)*(-2*v - 70 + 53 + 31) to the form p*v + z*v**3 + n*v**2 + k + g*v**4 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (3\/((-9)\/146))\/(95\/(-285))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31726327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 h when three letters picked without replacement from dnrdrrnnrrrnhnnrn?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10148935 + -1235.26\nAnswer: 10147699.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 45 - 10)*(242 - 121 - 2*t - 119) to a*t + j and give a.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.4, 2\/31, 3, 3\/4, -5298?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - b + 119 = 624, 92 = w - 2*b. Let k = 301 - w. Suppose 4*o - 2*o = 5*x - k, -x + 5*o = -26. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2587777 divided by 1.\nAnswer: 2587777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85798 is divided by 130.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95718 and 2968.\nAnswer: 382872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4301, -4177, -4043, -3893, -3721, -3521, -3287?\nAnswer: -3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:24 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) -3 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11b4b (base 12) to base 14\nAnswer: -8add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224932 is divided by 690.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1184 divided by 8.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474163, -948242, -1422323, -1896406, -2370491, -2844578?\nAnswer: -3318667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.5, -2\/21, 6253, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(40\/6))\/(-1)*31925\/(-3831)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -p - 73, 0*g - 5*g + 76 = -2*p. Calculate the remainder when g is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -3 (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2894.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 + 9*i - 4. Let j be g(7). Suppose 5*a - 9 - 1 = 5*t, -2*a + j = 4*t. Solve -5*m + a*v = -8, -m + 3*v - 2 = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**2 - 139*u + 49 wrt u.\nAnswer: 2*u - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1552*l**2 - 1008*l**2 - 2748*l**2 to x*l + i + b*l**2 and give b.\nAnswer: -2204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74315965 is divided by 922.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poses. Give prob of sequence os.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, -1\/2, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = 4*c, -4*w + 6*c - 3*c = 9. Let o be (-1 + w)*(-2)\/2. What is the tens digit of 14 - (o - 1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 17*k + 14. Suppose -3 = r - 6. Let g be d(r). Suppose -p - g = -5*u + 1408, -3*u - 4*p + 893 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102946835*r**2*w - 307977*r**2 + 58 with respect to w.\nAnswer: -102946835*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 18 + 25. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 150880 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k + 4*k + 3 - k**2 - 17. Let c be 0*3346\/956*((-4)\/14)\/1. Determine v(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 5*z + 3. Let v be w(-3). Suppose v - 1 = 2*l. Suppose -5*s + 200 = 5*h, -l*h + 2*h - 148 = -4*s. Solve 5*x = -13 + s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(252)*2 + (sqrt(567) + 1)*-4 - ((2 + (2 + sqrt(7) - sqrt(7)))*-4 + -5 + -3).\nAnswer: -24*sqrt(7) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8)\/(0 - 1). Let r = -728 + 727.8. Which is the second smallest value? (a) r (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -39, -150, -369, -732, -1275?\n\"Answer: -6*n**3 + 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2150 + 2168 = -4*v, -2*d - 2*v = -6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzpzzpppzzpppzzzzzpp. What is prob of picking 2 p?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q + 4. Let h = -43 - -36. Let x(m) = m**3 + 9*m**2 + 15*m + 12. Let u be x(h). Suppose -u*i - 2*c - 30 = 0, -4*i - c = -5 + 26. What is y(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 5*h + 2*h + (1 - 2 + 0)*(4*h - 3*h - 3*h + (3*h + h - 2*h)*(5 - 4 - 3)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*x - 28, k = 3*x + 5*k + 24. Let y(s) = 2*s + 1. Determine y(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (440 - 82 + 59)*(-2 + 4 - w - w).\nAnswer: -834*w + 834","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. What is the smallest common multiple of ((-2)\/6)\/((-17)\/510) and 2\/3*(z - -5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3088*i + 6188*i - 3100*i + 4*i**2 + 239 - i**2.\nAnswer: 3*i**2 + 239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 2800*h**2 + 12105*h + 465300.\nAnswer: -5*(h - 15)*(h + 11)*(h + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-36)*(-1)\/2)\/((-96)\/320).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, -597, 3?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h + 1. Let r = 2 - 1. Suppose -4*y + 4 = -n, -2*y = 3*n + 2*y - 52. Calculate the lowest common multiple of n and m(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*p - 818*t + 820*t, -20 = 4*t. Solve -p*v = -29*v + 60 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3761718824 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2459997 and 225?\nAnswer: 61499925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 21\/18*78\/(-364)*44*14\/7\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1161 - 78?\nAnswer: -1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 25*c**2 - 26*c - 4. Let i be s(-26). Sort i, -18, 2.4 in increasing order.\nAnswer: -18, i, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/w**(-7))\/w*w**(-1\/2)\/w)\/(w**6*w*w*w\/(w\/(w**(-1\/2)\/w))*w))**(8\/5))**12 assuming w is positive.\nAnswer: w**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**8\/3360 - r**7\/1260 - r**4\/12 - 3*r**2. Let q(t) be the second derivative of a(t). Suppose q(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2646387, -5292795, -7939203, -10585611, -13232019, -15878427?\n\"Answer: -2646408*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*k + 3*h, -k - 2*h - 8 = 2*h. Suppose 0 = -3*m + 3 - 15, 0 = -k*d + m + 64. Solve 0 = 6*i - i - d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 4 - 4)*(-2*n**4 + 2*n**4 - n**4) + (-3*n + 0*n + 4*n)*(99*n - 99*n - 13*n**4).\nAnswer: -19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4599 and 18254015.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:47 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/9)*k)\/k)\/k**(7\/6))**(3\/11) assuming k is positive.\nAnswer: k**(-25\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*p - 223 - 682, -5*p = 4*h + 911. Let b be 2*(-340)\/h + 3\/(-4). Factor -72\/7*z**2 - 44\/7*z**3 - b*z - 8\/7*z**4 + 32\/7.\nAnswer: -4*(z + 2)**3*(2*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + (-10 + -34 - -2). Put b, 0, -5 in descending order.\nAnswer: 0, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/1885444 and -17\/11.\nAnswer: 1885444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 b when three letters picked without replacement from {z: 3, c: 2, n: 1, e: 6, b: 4, i: 4}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 0*i)*(0 - 1 + 2)*(3 + 0 - 2 + (-1 - 1 + 5)*(-2 - 1 + 1)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*(2*sqrt(102)*-4 + sqrt(102)))\/(sqrt(96)*1 + sqrt(36)\/sqrt(96)).\nAnswer: -560*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjh. What is prob of sequence hjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77284645 is divided by 19321157?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -6.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 80049.33 (c) -5 (d) -2\/3 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -3364\/9*m**2 - 2\/45*m**5 + 0*m + 130 - 6496\/27*m**3 + 115\/18*m**4. Find y such that i(y) = 0.\nAnswer: -1, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**3 + 2*s**3 - 4*s**3)*(-3073*s - 1847*s - 3 + 14376*s + 132779*s + 3) to the form f*s**3 + l + i*s**2 + q*s**4 + m*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t. Let o be q(-1). Suppose 0 = 4*l + 2*c - 6*c, -5*l = 4*c + 45. Let s = l - -7. Put o, s, 0 in descending order.\nAnswer: o, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:52 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-9)\/(-567)*(2\/(-2))\/4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2614*z**2 + 31*z**3 - 37*z**3 - 2614*z**2.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, s: 2, e: 3, h: 4, c: 1}. What is prob of sequence fche?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 4*y - 4*y)*(-2*y**3 + 5*y**3 - 5*y**3) - y**4 - y**3 + y**3 + 7*y**4 + 7 - 33 + y - 8*y**4.\nAnswer: 2*y**4 + y - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 2*l + 0*l)*(3*l**2 - l + l) + (-l**2 + l**2 + l**2)*(6*l - 9*l - 9*l) to m*l**2 + u*l + h + x*l**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*d - 1644455 - 1644406 + 3288861.\nAnswer: 207*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*t + 8. Let j = -2 - t. Solve j*y + y = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(2 + -1 + 0). Suppose 2*j + d*k = 7*j + 5, 3*k = 0. Let v = -3 - j. Is v > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03496 and 0.228.\nAnswer: 0.00797088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 6*f**2 - 8 - 8*f**2 + 6*f**2 - 9*f**2.\nAnswer: -4*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of h**4\/4 + 7*h**3\/3 + 3*h**2 + 4*h - 2. Suppose 4 - 34 = 5*i. Let o be u(i). Solve 9 + 11 = o*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1496 and 714816.\nAnswer: 7862976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7123974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -26*m**3 - 3*m**2 - 13*m - 3. Let u(o) = -13*o**3 - 2*o**2 - 7*o - 1. Let a(j) = 4*f(j) - 7*u(j). Let s be a(-1). Is 12 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53249838 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + g - 2*g + 1 - 1 to u*g + w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from ffffttttfttf?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17430, -25920, -34410, -42900, -51390, -59880?\n\"Answer: -8490*j - 8940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3806497.\nAnswer: 607, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 40. Suppose 3*j + v*m = 3*m + 10, 4*m = 5*j + 6. What is the third derivative of 10*c**j - 8*c**6 + c**2 + 3*c**2 wrt c?\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:56 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36198, 36343, 36584, 36921, 37354, 37883, 38508?\n\"Answer: 48*i**2 + i + 36149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378623 meters in nanometers?\nAnswer: 378623000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 34*l - 278. Let m be t(8). Let j be (4\/m)\/((-10)\/15) - -4. Solve 0 = -3*w + 20 - j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88) + sqrt(88)*-1 + sqrt(88))*-1)\/(sqrt(512)*-2).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5)**(1\/19)*b**(-3)*b*b*b**(26\/3)\/b assuming b is positive.\nAnswer: b**(395\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5227 - 5229. Let a(v) be the second derivative of -v**6\/720 + v**5\/120 + v**4\/12 - 2*v. Let m(c) be the third derivative of a(c). Calculate m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -31995.\nAnswer: 15997.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in 3\/2, -0.17, 1\/8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -177 + 2*q + 177 in the form v + l*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*k + 14 = 0, -139*v + 3*k = -142*v - 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = h. Let f = -6 - h. Sort 2, f, 1.\nAnswer: f, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnnnvbbxbxxxbnxb. Give prob of picking 1 v, 1 b, and 1 x.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(51)\/(sqrt(300)*2 + sqrt(300) + sqrt(3) + sqrt(3)))**2 + -2*(sqrt(17) - -3*sqrt(51)\/sqrt(3))).\nAnswer: -16*sqrt(17) + 17\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 0.111, -0.118708 in descending order.\nAnswer: 0.21, 0.111, -0.118708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**2*q**2 - 7*i**2*q - 6*i**2 + i*q**4 + 7*q**4 wrt q?\nAnswer: 6*i**2 + 12*i*q**2 + 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6*d - 3*d = 14, 3*c + 5*d - 30 = 0. Suppose -3*f + 2 = c. What is the units digit of 6*(3\/(-6) - f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**4 + 611*h**3 - 527*h**2.\nAnswer: -72*h + 3666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*g = -17, 2*g = -2*k + g + 7. Let u = 1 + k. Solve -9 = -u*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -135*w**5\/2 + 795*w**4\/2 + 235*w**3\/2 - 855*w**2\/2 - 50*w + 30 = 0. Calculate w.\nAnswer: -1, -1\/3, 2\/9, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 334440356 divided by 19.\nAnswer: 17602124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.23 + 0.1. Let n = -125.2941 - -125.4240986. Let i = n + m. What is i rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 20 = -7*y. Let d = 3 - 2. Let x(q) = -q + 2. Let c be x(4). Put c, d, y in increasing order.\nAnswer: y, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -985*h**2 + 8*h - 12659. Let g(c) = 493*c**2 - 3*c + 6326. Let v(b) = -9*g(b) - 4*z(b). Find the first derivative of v(w) wrt w.\nAnswer: -994*w - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 363\/7*d**4 + 14400\/7*d**2 + 39699\/7*d**3 + 1308\/7*d = 0. What is d?\nAnswer: -109, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99.8384 - -1\nAnswer: -98.8384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 19*u - 8. Let d = -130 + 135. Let s(i) = -12*i + 5. Let n(j) = d*m(j) + 8*s(j). Let y(q) = 2*q**2 + 7*q**2 + 0*q**2. Give n(y(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1855 - -2642. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 - 38. Suppose -4*h = -q*h - 43757808. Suppose 6*j + h + 11260548 = 0. What is j rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 215. Suppose -z + 4*b + q = 0, 3*b = -5*z - b + 167. What is the greatest common factor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-31 - (14 - 23)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 154409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743175.\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-253.3.\nAnswer: 506.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4619102?\nAnswer: 2, 2309551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 - i**4\/12 + i**3\/3 + 3*i. Let c be t(-2). List the prime factors of (c - 1)*48\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53301 * 2.\nAnswer: -106602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 10*u**2 - 2*u - 16. Determine d(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5679336 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h - 33*h + 11*h + 5*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -20. Let z be (((-24)\/(-45))\/s)\/16. Let n = -1\/8 + z. Is n at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13594*a**3*h**2 - 2832*a**3*h - 6*a**3 + 2*a**2*h - 2*a + 2*h**4 + 2 wrt h?\nAnswer: -27188*a**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83891499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -10002122111211?\nAnswer: -10002122112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 0*y**4 - 8 - 4\/3*y**3 + 2\/5*y**5 + 0*y**2 + 0*y. What is the third derivative of x(d) wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/240 - n**5\/60 + n**4\/4 - 2*n. Let p(l) be the third derivative of q(l). Differentiate p(t) with respect to t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 - 1. Let j be k(2). Suppose 5*c - 63 = -j*x - 14, x = 4*c - 29. Suppose 370 = 5*b + 10. What is the highest common divisor of c and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-313.\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -75540343*d*l*s**2 - d*l + 341*d*s**2 + 142058*d wrt l?\nAnswer: -75540343*d*s**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*-4 + -1*(sqrt(121) - -1*sqrt(121)))\/(sqrt(539)*1 + sqrt(11) - sqrt(77)\/sqrt(7)*4).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 27721176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.949165km to micrometers.\nAnswer: 1949165000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**4 - 3*y**3 + 3*y**2 + 7*y - 9. Let v(w) = 3*w**4 - 2*w**3 + 4*w**2 + 6*w - 8. Let s(o) = 5*t(o) - 6*v(o). Factor s(k).\nAnswer: (k - 3)*(k + 1)**2*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-8 + 0)) + -321 + 326?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64441 + -64431. Let p = 0 + -0.2. Which is the biggest value? (a) p (b) -8 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 3714.\nAnswer: 3714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 65*t**2 + t + 2. Let f be l(-1). Suppose f = -2*h + 68. What is the highest common factor of 8 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.491 - -10602454795.\nAnswer: 10602454795.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + sqrt(3)) + (sqrt(3) - sqrt(27))*-2 - (sqrt(6)\/(sqrt(12)\/sqrt(6)) + sqrt(3) + sqrt(12) + 0))**2.\nAnswer: -160*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8*a**2 - a - 9. Let i be y(-8). Let h = 5 + -3. Sort 3, h, i in descending order.\nAnswer: 3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 2 i when four letters picked without replacement from {c: 2, z: 6, i: 3, w: 1, k: 1}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (-3 + sqrt(1053) + 2 + sqrt(1053) - sqrt(1053)))*-1.\nAnswer: -18*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3\/3 + 139. Let b(z) = 14*z. Determine b(r(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*s**3*w**3 + 3*o*s**2*w + 76*o*s*w**3 - o + 383*s**3*w wrt s?\nAnswer: -12*o*w**3 + 2298*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 9*l = -138. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38721239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7405581161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 0*z - u + 21, -3*u = 2*z - 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -16. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2123*n - 2*n**2 - 620*n - 4424*n to the form h*n**2 + x*n + u and give x.\nAnswer: -2921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23\/60 + 1\/20. What is the closest to -2\/3 in r, -1\/10, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.98972577 rounded to three decimal places?\nAnswer: 3.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*q + 31*q = 774 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 55*c**2 + 2. Let f be k(1). Let w(j) = -4*j - f + 61 + 3*j. Let i be w(8). Let p(r) = -3*r + 1. Let g(b) = -5*b + 1. Give i*g(y) + 7*p(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 20*p + 32.\nAnswer: 2*(p + 2)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/39 and 79\/204?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - 20 - (-115 - -175 - 155)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 372608 + 5?\nAnswer: 37260d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 4*r - 5*r)*(-1 + 1 + 2*r) - 2 + 2 - r**2 + (5*r - 5*r + 8*r)*(r + 0*r - 2*r).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 5:44 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y**2 - 33*y - 5. Let p(b) = 4*b + 1. Give i(u) + 5*p(u).\nAnswer: 8*u**2 - 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 429 + -499. Calculate the common denominator of (207\/(-138))\/(o\/(-76)) and -29\/3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/28 and 3\/1552.\nAnswer: 10864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2247)\/1008 + (1525\/100 - (23 - 10))?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 10:46 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.4 - 15.7. Let w = 33.92 - 34. Which is the closest to q? (a) -2 (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i**4 - 200*i**3 - 652*i**2 - 112*i = 0 for i.\nAnswer: -14, -4, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 21. Suppose 0 = -o*m + 169490 + 24625. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 2\/17 (c) 522875 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794025 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -791*s**2 - 6258*s - 5. Let x(t) = -t**2 - 54*t - 1. Let p(d) = -a(d) + 5*x(d). What is the second derivative of p(v) wrt v?\nAnswer: 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77d207d - -11?\nAnswer: -77d206c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20640102370.810074 + 20640330225. Let d = g + -227854. Let l = 0.19 - d. What is l rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/15842738 and 167\/857910.\nAnswer: 237641070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1839 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1976)\/(-15808))\/(2*10\/224)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 857099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*k - 131*k - 81*k + (-1 + 3 - 4)*(2*k + 2*k - 2*k) + 2*k + 0*k - 3*k + 2*k - 6*k + 3*k to f + d*k and give d.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23688051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20096269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/6 - (-6)\/12. Suppose q = -2*s - 3*i + 2*i + 21, 3*i + 67 = 4*s. What is the remainder when s is divided by 6\/5*20\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 952631, 952624, 952617, 952610, 952603?\nAnswer: 952596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -59. Suppose j - l = -2*j. Suppose 0 = 3*v + 47 - 215. Calculate the remainder when v is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - o - 3 + 3)*(30*o + 14*o - 12*o) in the form a*o + h*o**2 + j and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, and 1 y when three letters picked without replacement from {b: 3, c: 3, h: 3, t: 1, x: 3, y: 1}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 9 + 6 + (-3 + 3 - 1)*(3 - 2 + 1))*(4*u - 2*u - 3*u)*(2*u - 6*u + 3*u + (-2*u - 6*u + 0*u)*(5 - 3 + 0)) in the form o*u**2 + v*u + n and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -5\/3, 3\/13, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26365215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h + 38*h - 4*n - 14 = -66*h, 0 = h + 26*n + 103 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.186 + -0.486. Which is the nearest to 0.1? (a) 0.1 (b) -9 (c) 0 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3*c - 1\/12*c**4 + 1\/2*c**2 + c**3 + 0. Let u be i(6). Let d(f) = 6*f**3 - f**2 + f - 1. Determine d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-195)\/130*18\/(-20))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {m: 1, c: 1, u: 5, z: 10}?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 4*c + 2. Let y be n(-3). Let u be 358\/(-4) + (-2)\/(-4). Let f = u - -799\/9. Are f and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -22. Suppose c = -j + 13. Solve 0 = -2*t + g - 5, -2*t = -j*g + 3 + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -6, -5, -58, 4, -20.\nAnswer: -58, -20, -6, -5, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 + 540. Let i = -166 + k. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/13)*s*s**1*s*(s\/s**(1\/4))**(1\/7))**(2\/57) assuming s is positive.\nAnswer: s**(1103\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-147)\/7)\/(-7)*2\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 18*v + 135. Determine j(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055982 to the power of 1\/2, to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 93.4926 decades?\nAnswer: 0.934926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442141 (base 5) in base 4?\nAnswer: 23113102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 26*n - 63. Let q be i(-30). Let y = 550\/3 + q. Factor -1\/3*m**2 - y*m**3 + 0*m + 0.\nAnswer: -m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + 0.1. Let b(l) = 2*l + 51. Let h be b(-24). Put h, o, 1\/5 in decreasing order.\nAnswer: h, o, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1437 divide 1921772294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*g**6 + g**3 - 9*g**2 - 16?\nAnswer: -7920*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5225, 10680, 16135?\n\"Answer: 5455*c - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (301\/14*2)\/(((-47)\/(-141))\/((-2)\/(-6))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24f (base 16) in base 7?\nAnswer: -1503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9364255?\nAnswer: 5, 67, 27953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 75*n - 76*n + 34, -5*o - 73 = -18*n for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003682 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let z be (58\/g)\/(32\/(-48)). Suppose 4*s - 59 = z. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 12428.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*d = i + 43, 5*d = -4*i - 49. Let n = 1 - i. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 823025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199\/3 - -67. Let j be (9\/12)\/((-3)\/(-12)). Find x such that -2\/3*x - v + 2\/3*x**j + 2\/3*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-36)*(-7)\/((-273)\/104)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from swwpifspfdspdiiifwpf?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525516069.\nAnswer: 7, 11, 41, 69031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2 + (-1 - 1 + 0)*(-1 + 2 + 0))*(166 - 166 + 74*b**2).\nAnswer: -222*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 1*(-5)\/1. Let i(u) = u**2 + 5*u. Let z be i(l). Suppose 3*p = -3 + z. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*66\/4*10839\/14452.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 0.4, 0.3, 0 in decreasing order.\nAnswer: 148, 0.4, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13748 - 13739. Solve -4*d = -5*d + 4*u + 6, 0 = 2*d - 5*u - m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3014*n + 16937. What is g(-6)?\nAnswer: -1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-5 - (4 + -12)). Let k(a) = 9*a - 18. Let z be k(b). Suppose -s - 2*h + 7*h = -9, -h = -s + 9. What is the greatest common factor of s and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -0.129.\nAnswer: 13.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 202018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/8 and 13\/18922?\nAnswer: 75688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 300266672*z - 5635004644622224.\nAnswer: -4*(z - 37533334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32007)\/(-517) + -61 - 1362\/22.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*g + 21 = 8*g, 2*i - 9 = -g. What are the prime factors of 3 + 210 + i + 5?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.25 - 2.3. Let n be ((-3)\/(-36))\/((-3)\/8). Which is the closest to o? (a) 0 (b) n (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473723 is divided by 67209.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2222201212 (base 3) to base 6\nAnswer: 1132252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 32*k. Let z(f) = -787*f + 4. Determine 14*t(h) + z(h).\nAnswer: -339*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 133189692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 16 - 5)*(-3 - 4 - 5)*(-7*i - 3*i - i)*(-3*i + 3*i - i)*(i + i**3 - i).\nAnswer: -2508*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 2\/15, 140 in decreasing order.\nAnswer: 140, 2, 2\/15, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 2*m**2 + m - 1. Give k(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/109 + 10357\/872. What is the common denominator of 51\/40 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2600590 and 23405310?\nAnswer: 23405310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 32*s**2 - 6*s - 10. Determine p(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 299*b**3 - 2*b**2 + b**4 - 300*b**3 - b**2 - 1 - b to r*b**4 + c*b**3 + z*b + n*b**2 + i and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6695 is divided by 69?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, f: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57451312*f*h**2 - 22*f*h + 144196*f - 2 wrt h.\nAnswer: 114902624*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -147102.78 + -28677.81\nAnswer: -175780.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-8) + (-1618)\/4. Let i be -12*(u\/(-20) - -2). Round i to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 910806 and 234.\nAnswer: 2732418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*w = w - 3, 0 = -d + 4*w + 3. Solve -26 = 7*z - 3*z + 5*b, d*z + 4*b + 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240885137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4421 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8, 0, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 13 = 2*r, 29*r = t + 26*r + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/20850 and 95\/2029956.\nAnswer: 50748900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 349530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 37, 36, 41, 52?\n\"Answer: 3*n**2 - 10*n + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**12*g\/(g\/(g\/(g**5*g))))\/(g**(1\/3)\/g)**(-8\/7) assuming g is positive.\nAnswer: g**(-352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, l: 13}. What is prob of sequence lrl?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170626834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137*k**2 - 33*k**3 + 64 + 137*k**2 wrt k.\nAnswer: -99*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 22*b + 56*b - 236 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 15 (b) 11 (c) -24.57 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 5*f**4\/2 + 4*f**3\/3 - 20*f**2 - 16*f - 52. Let w(u) = 0. Calculate u.\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 24067788.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281\/11 - 26. Suppose 5*z - 13 = -13. Is z at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3*q**2\/2 - 9. Suppose k - 2*l = l + 5, 3*l = 0. Let o(f) = 5 + 2*f**2 - k. Determine o(d(g)).\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 6*h + 25 = 0. Which is smaller: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21257400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert 131242132 (base 5) to base 16.\nAnswer: 9e9c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0884249 to three dps.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -5*b - 18. Let n(k) = k**3 + 18*k**2 + 30*k + 4. Let g be n(b). Suppose 0 = -l - 4*w + g, 2*l - 66 = -3*w - 2*w. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 - 66*x**2 - 436*x**3 + 40*x**2 - 678*x**3 + 348*x**3.\nAnswer: -766*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-182)\/39)\/((-1)\/(-57)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 + -0.53. Let q = 0.3274 + u. Round q to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, 1 d, and 1 q when four letters picked without replacement from {f: 4, d: 2, l: 1, w: 3, p: 2, q: 6}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(10 - 11 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-20) - (-434)\/8. Suppose -2*f + o = 4*f. Solve -4*v + f = -7*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9242424*u**3 + 163051*u**2 - 6*u + 2 wrt u?\nAnswer: 55454544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654824597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x + 4 = 0. Let v be (-8)\/(-10) - (-2)\/10. Which is the nearest to x? (a) v (b) 0.4 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 - 389 = -u + o, -3*u = 2*o - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + 13*p - 13*p + 149*p**3.\nAnswer: 149*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1 + 4 - 5*n. Let m(c) = c - 1. Suppose -7*a + 3*a + 2*x + 4 = 0, -4*a - 3*x - 16 = 0. Calculate a*l(b) - 2*m(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(200) + sqrt(200)*-1 - sqrt(200))\/sqrt(8) + 2*sqrt(2500)))\/(sqrt(20)*-4 - -6*sqrt(320)).\nAnswer: -57*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-5)*2*-5. Let r = -6 + x. Suppose -7*j + 25 = -r*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16272\/7 - 2319. Is y at most as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7498 is divided by 3686.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008292 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by -3910070.\nAnswer: 169\/3910070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from {f: 3, o: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/3 + 8*x**2\/3 - 3*x - 6 = 0. Calculate x.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - 5.06. Let r = -49 - -49.2. Which is the closest to r? (a) 3 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.891195 micrograms?\nAnswer: 9891.195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 208326143 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3\/8)*s)\/s)\/(s*s\/(s**(-5)*s))*(((s*s**(-6)\/s*s)\/s)\/s)\/((s**(-2\/5)\/s)\/s) assuming s is positive.\nAnswer: s**(-369\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18\/1039 - 1183\/8312. Which is the nearest to -1.25? (a) 1\/2 (b) g (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 4*(0 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.1, 7\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4656 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 239275780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x - 2228 = -1557 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 227 and 84671.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 - 80.39. Let n = i - 0.61. What is the second biggest value in 43, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18 - 4*s**2 + 269*s - 87*s + 3*s**2 - 87*s - 110*s. Let t(w) = -w**2 - 4*w. Let x be t(-6). Calculate c(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c28 + 9c4?\nAnswer: 780c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -29. Let a = w - 4. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 404 + -211. List the prime factors of h.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1610 + 1611. Is q at least as big as 4\/10227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 119278269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = t - 13, 4*t + z = 16 + 6. Let k(v) = -v**3 + 6*v**2 - 3*v - 6. Calculate k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:57 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6908, -13813, -20714, -27611, -34504, -41393?\nAnswer: -48278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 16*h**2 + 21*h + 20. What is r(15)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (sqrt(143) - sqrt(143)*1))*2 + sqrt(143) + sqrt(143))\/sqrt(11) - (sqrt(1573) + -5 + (sqrt(1573)*-2 - sqrt(1573) - sqrt(1573))**2).\nAnswer: -25163 - 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-2 + 0))*(-42)\/(-49)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -1, -3, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 - 4*r. Let b = 25 + -19. Suppose -60 = b*h + 4*h. Let o(d) = -13*d**2 - 7*d. Determine h*o(a) + 11*q(a).\nAnswer: a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15703 + -578?\nAnswer: -16382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -175*a - 166. Let g be q(-1). Solve x - 4*x = -g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-6))\/(-4)*(-1)\/5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 426 + 699 = 0. Let t = -155 + u. Suppose -3*j = -1126 + t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*a + 12*a. Suppose 135 = a*d + 3*f, 4*d - f - f = 186. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 32 = -i + q, -4*q = 2*i + 16. Let v be (12\/5)\/(i\/(-60)). Let f = 22 + 176. Calculate the greatest common divisor of f and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 7917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*a - 1 + 31*a - 1 - 20*a to i*a + w and give i.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2925*k**2 - 1373*k**2 - 10943*k**2 - 4336*k**2.\nAnswer: -19577*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 6 + 4)*(4*g - 2*g + g) + (-3*g - 4 + 4)*(1 - 4 - 2).\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 + 256248*n**2 + 512493*n\/2.\nAnswer: 3*n*(n + 1)*(n + 170831)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 78*s**2 + 151*s + 25. What is p(76)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s - 1. Let o(v) be the second derivative of -v**3\/2 + v. Let g be 4\/(-2)*(-266)\/76. What is g*o(t) + 2*q(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -106. Suppose 0 = -3*n + x*j + 96, -170 = -n - 4*n - 5*j. Calculate the remainder when 55 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -834*f - 22368 = 716*f - 152*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 137222042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/6)\/(-1))\/(160\/(-120))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5 + 138*j**4 + 936*j**3 - 2298*j**2 + 1221*j = 0.\nAnswer: -37, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -13*h**3 - 2*h**2 - 2*h - 1. Suppose -3*m + 2*m + 5 = 0. Suppose 2*r + m*d - 27 = 0, 3*d - 2*d - 1 = 0. Suppose 14*b + r = 3*b. Give g(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 13 = -5*t, -2*t + q = 4*q + 5. Let b(s) = 11*s**2 - 5*s**2 - 2*s**t + 8*s**2. Let u(a) = -a. Calculate u(b(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34592*r**4 + 28457.\nAnswer: -138368*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 57*r - 234 = 0.\nAnswer: -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 7*a**2 + a - 8. Let r be q(7). Let p(c) = -2*c. Let y be p(r). What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 76 = 16*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1694 - 833 + 393*r - 377*r to p + k*r and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 1\/36*s**4 - 1\/90*s**5 - 5*s**2 + 0*s - 1\/180*s**6 + 0*s**3 + 0 + 1\/315*s**7. Suppose o(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146931, 293860, 440787, 587712, 734635, 881556, 1028475?\nAnswer: 1175392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-105)\/26 - -4). Let z be 16\/(-104) - (-6452)\/p. Suppose -5*q = -z - 267. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*(-480)\/(-9). Let z be ((-42)\/35)\/(2\/o). Let m be 4\/(-8)*6 + 15\/1. Calculate the highest common divisor of m and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2252 = 2253. Which is bigger: 3\/2875 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1834, 0.4 in descending order.\nAnswer: 1834, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**4\/6 + 12*q. Let n(s) = 9*s. Give n(g(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3511968*d - 3511968*d + 3003*d**2)*(-1 - d**3 + 1).\nAnswer: -3003*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 3*i)*(-974*i - 985*i + 1943*i)*(3 + 0 + 0).\nAnswer: -192*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.1 - -6.\nAnswer: 13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 + 1015*f - 15519. Give k(16).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2708493*j - 4*h = -2708497*j + 40, 5*h - 25 = -20*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(192) + 0 - 1*1*sqrt(3)))**2.\nAnswer: 56*sqrt(3) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 73*f + 55. Let x(p) = 34*p + 29. Calculate -6*w(v) + 11*x(v).\nAnswer: -64*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 393225564?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8075, 8803, 10017, 11717, 13903, 16575, 19733?\n\"Answer: 243*x**2 - x + 7833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o**3 + o**2 + 7*o + 17. Let z(n) = -5*n**3 + n**2 + 3*n + 9. Let i = 306 - 302. Let t(b) = i*q(b) - 7*z(b). What is t(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 4\/19, 0, 0.21, 0.5, 1.5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-6*(((sqrt(300) - (sqrt(300)*-2 - sqrt(300)))*1 - sqrt(300)) + sqrt(300))*-6 + 4)**2 + 2.\nAnswer: 11520*sqrt(3) + 6220818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20914.62 centimeters in kilometers?\nAnswer: 0.2091462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1657493 - 1657493 - 2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399991?\nAnswer: 53, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -12. Does 31 divide (-124)\/3*36\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468\/351 - ((-7)\/(-39) - (1 + -2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1109\/5 and 468 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -383, 2, -2\/1511?\nAnswer: -2\/1511","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -140*z - 15. Let f(a) = -1260*a - 135. Let o(k) = -4*f(k) + 35*p(k). Is o(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 2:18 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:45 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/28623 and -41\/366?\nAnswer: 3492006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6954867 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a8e8 - 1b?\nAnswer: 9a8cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135334854 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjrrrrrrrjr. What is prob of picking 2 r and 2 j?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/34, 1\/3, -5, 3, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/12 + m**3 - 10*m**2 + 17*m. Let x(u) be the first derivative of p(u). Determine x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/4680 and -123\/75678200.\nAnswer: 681103800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxvpvvvm. What is prob of sequence mp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -412, -1\/4, -3, 0.4, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -2, 0, 0.5, -1\/5, 5, 1\/284.\nAnswer: -2, -1\/5, 0, 1\/284, 0.5, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 7462637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saor when four letters picked without replacement from {o: 2, r: 5, m: 1, a: 1, s: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 27.6 + 1189193.91\nAnswer: 1189221.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 566*m + 149. Determine u(1).\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -535 - 4?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3329586?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*w - 2*w + 18, -3*w - 27 = -3*r. Solve -108\/7*k - 12\/7 - 360\/7*k**4 - 537\/7*k**3 - r*k**5 - 51*k**2 = 0.\nAnswer: -2, -1, -1\/2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -269634\nAnswer: 13\/89878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*u = 6*u + 135, -3*u = -5*g + 658. Find the third derivative of g*v - 6*v**4 + v**3 - 2*v**2 - 170*v + 2*v**4 wrt v.\nAnswer: -96*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3894 by -59.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193600186?\nAnswer: 2, 13, 509, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 104*b + 134. What is the thousands digit of o(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292 - 77. List the prime factors of s.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l*n**5 + 2*l*n**4 - 31*l*n**2 - 2*l*n - n**5 wrt n.\nAnswer: -120*l*n**2 + 48*l*n - 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24657335 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-14)*(-200)\/250)\/((-10)\/7)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (106\/(-159))\/((-12)\/90). Sort q, -1, -5, -93\/11.\nAnswer: -93\/11, -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -245*y + 245. Let a be u(1). Factor -4\/3 + 2\/3*w**3 - 2*w + a*w**2.\nAnswer: 2*(w - 2)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)\/b*b*b*b**12)**43\/(b**0*b*b*b**(-7)*b*b\/(b\/(b*b**7))*b*b**(-3)) assuming b is positive.\nAnswer: b**(5527\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/50 and -59\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2523748 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2096?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -11*b - 390. Suppose 3*x - b = -45. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9559275907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2570 + 2593. Solve 7*m - a*m = 80 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 0.11 (c) -0.0876 (d) -3 (e) -14 (f) 1 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18581 is divided by 2645.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 39 (b) 13 (c) 7478 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*f + 546000 = -154*f. Round f to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*b + 2*q - 1, q - 62 = -3*b. Let w(k) = 7*k**2 - 5*k + 6. What is the remainder when w(3) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220.4 + 27.4. Let o = g - -133. Let p = o + 58.9. Is 0.1 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37666\/161 - -264\/23. Let d be 2*(-125 - (4 + -6)). Let p = l + d. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 13 - 23 = -0*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -17*c**2\/2 - 81*c + 64. Let q be u(-13). Is 141 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1331222721?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162265 and 5?\nAnswer: 162265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29308, -29456, -29604, -29752?\n\"Answer: -148*j - 29160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4006.2 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1084480+0.12\nAnswer: -1084479.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3\/5 + 11837*g**2\/5 - 23677*g\/5 + 11839\/5 = 0?\nAnswer: -11839, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 516\/(-946) - 170\/(-352)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*m**6*s + 242643*m**3*s**2 - m**2 + 275*m*s**2 + 64*s + 9 wrt m.\nAnswer: -1680*m**3*s + 1455858*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2824, 1\/4, 22\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -6581*v**3\/3 - 595*v**2\/2 + 4*v + 8435. What is the second derivative of i(g) wrt g?\nAnswer: -13162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -779, -1297, -2159, -3365?\nAnswer: -4915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 30. Let r(w) = -62*w**3 + 1. Let p be r(-1). Suppose -3*x + 3*z = -p, -c = 4*z + 1. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/26245 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1121324790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 153, -0.3, 0.2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w**3 + 98*w**2 + 11*w - 7. Give z(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*-3*4\/2. Suppose 0 = 4*h - 12, 2 + 20 = 5*s - h. Suppose 0*n + 2*n = -s*p + 8, -10 = 2*n - 4*p. Which is the biggest value? (a) 3 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19922?\nAnswer: 2, 7, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, u: 2, b: 1, s: 1, f: 1, w: 2}. Give prob of sequence fuur.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 512*i**2 + 37*i - 397. What is the ten thousands digit of v(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 49?\nAnswer: -5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w - 11267 = 6973. What is the remainder when w is divided by 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 25 = 5*d. Let i(p) = p**2 + 4*p - 2. Let n be i(d). Suppose n*z - 7 = -4. Let c(s) = 5*s**2 + s. Calculate c(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - j + j - 9*j**3 + 16*j**3. Let r(f) = 7*f**3 - f**3 + 6*f**2 - 7*f**2. What is 3*l(q) - 4*r(q)?\nAnswer: -3*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -793 + 432*q - 1946*q + 372*q + 148*q with respect to q.\nAnswer: -994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2354 + -2353.9. Which is the second smallest value? (a) 3\/7 (b) t (c) 4 (d) 3 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 32\/9*n - 10\/9*n**3 + 8 - 8\/9*n**2 + 1\/2*n**4. Factor j(p).\nAnswer: 2*(p + 1)*(3*p - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -18*t**2. Let a(i) = 2*i**2 - 5*i + 20. Let m(k) = -k**2 + 3*k - 12. Let d(r) = -3*a(r) - 5*m(r). Give p(d(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027459 rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 187, 284, 383, 484, 587, 692?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 8*g**2 - 9*g + 24. Let x be t(-6). Solve -x = -2*v + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 4. Let a = -22 + 18. Let p be l(a). Let v be (-8)\/(-36) - 29\/9. Sort v, p, -5.\nAnswer: -5, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w. Let f(a) = a**2 + 4. Let n(y) be the second derivative of -3*y**2\/2 + 14*y. Let m(u) = 3*f(u) + 4*n(u). What is m(i(q))?\nAnswer: 507*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 y when four letters picked without replacement from cccyycecay.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/2991443 and 51\/230111?\nAnswer: 2991443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226582?\nAnswer: 2, 193, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1 + -2) - (-12 - -16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005116234 rounded to seven decimal places?\nAnswer: 0.0000512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1094 (b) -1\/15 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/49)\/(2\/(-14)). Suppose -4*j = u - 0*u - 73, 4*j = n. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 957, 953, 949, 945, 941?\n\"Answer: -4*x + 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3.3.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8935 = 5*y - v, 16*y - 11*y - 8920 = -2*v. What is the greatest common divisor of 38 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 7*a + 2. Let n(h) = -8*h - 11. Let i be n(-2). Suppose -40 + i = -5*s. What is b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43, 0.9, -2, -5\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-6)*115080\/80 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 457, 5, -2, -1, 1, -4 in increasing order.\nAnswer: -4, -2, -1, 1, 5, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451725 divided by 75.\nAnswer: 6023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/210)\/((-3)\/(-7) - 0). What is the nearest to -1\/2 in y, -0.1, 0.8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397666286.9 rounded to the nearest 1000000?\nAnswer: 398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = 13. Suppose -6*k - 9 = -i*k, 4*k + 11 = -p. Find the first derivative of 4 + 3*z - 3 + p wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**3*m**3 - k**3*m + 34*k**2*m + 3310*k*m**3 wrt k?\nAnswer: -54*k*m**3 - 6*k*m + 68*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190725525 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7\/5, -3\/2, 3 in ascending order.\nAnswer: -3\/2, -7\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-610)\/(-4)*(-16)\/(-152) + 18\/(-342)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**3*z**(-13))\/((z*z**(2\/27)*z)\/(z\/(z\/(z\/z**(-1\/5))))) assuming z is positive.\nAnswer: z**(-2143\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c4 + 4?\nAnswer: 1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/18 + (-42)\/12. Let l be 8 + f + 1 + 2. Solve -l - 7 = 6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -324*p + 190*p + 204*p in the form k*p + n and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 8*t - 26*t. Calculate the common denominator of -101\/6 and (-1328)\/24*t\/(-66).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -136712657148480 - -5?\nAnswer: -136712657148475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1055, 8408, 28351, 67178, 131183, 226660, 359903, 537206?\n\"Answer: 1049*z**3 + z**2 + 7*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.54?\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 70*k + 22. Let p(i) = 35*i + 10. Let b(r) = 6*c(r) - 13*p(r). What are the prime factors of b(-6)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - -115957.8860487\nAnswer: 115978.8860487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2612918 and 9823.\nAnswer: 2612918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2115242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-74)\/10)\/(-1) + 342\/45 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2864520822, -2864520823, -2864520824, -2864520825, -2864520826, -2864520827?\nAnswer: -2864520828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Suppose -1 = u - 3. Let l(a) = 6*a**u + 130 - 130. What is l(h(f))?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 - 18 - (-10 - 11 - -75).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 171*v**2 + 262*v - 83. Let s be q(87). Let x = 2 + -1. What is the tens digit of (-2 - -2) + x + 16*s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 1\/2, -1, 0.058396 in decreasing order.\nAnswer: 1\/2, 0.058396, 0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 608?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 - 9) + 2 - -4) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t + 108 = -10*t. Let o be (-3 - -1) + (-1 - t). Let p = 53 + o. Solve b + p = -r + 6*b, -2*b = 4*r - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 12*d + 29*d - 7*d - 1712*d**2.\nAnswer: -1712*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641 + -637. Solve g - 2*u + 4 = j*g, -g = 2*u + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*v - 283, -36*v + 32*v = -a + 279. Calculate the greatest common divisor of 10 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 24*c + 10. Let l(w) = w**2. Let k(i) = -5*i**2 + 1. Give c*k(g) + 9*l(g).\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216772 and 541930.\nAnswer: 1083860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:40 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 - 28 = 0. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 7:05 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 838011 or 4190048\/5?\nAnswer: 4190048\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1068164, 4272678, 9613534, 17090732, 26704272?\nAnswer: 38454154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1035 and 2553?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1*54\/90 + 4\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c**3 + 25*c**3 - 353*c**2 - 356*c**2 - 340*c**2 + 1049*c**2.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -3, 3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 57010 = x, 4*y - 45599 = -0*y - x. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01 or -2.9?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26.76606 minutes?\nAnswer: 1605963600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2353735?\nAnswer: 5, 17, 27691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n - 195 = -10*n + 143 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {i: 2, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l = r - 41*l + 7, -r - 3*l = 7. Let k = -817\/72 - 1835653\/792. Let u = -2334 - k. Find the common denominator of u and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -5*n + 4*y - 0*y, -3*n + 3*y + 87 = 0. Let o(s) = 4 + 9*s + n*s + 30*s + 13*s. List the prime factors of o(1).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29069 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59583510 and 666?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.74 - -54.96. Let p = 77 - j. Round p to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0668075899 from -1011.\nAnswer: -1010.9331924101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 899 - 1389. Let f be -9 + 0 + q\/(-35). Solve 18 = -v + f*a, -5*a + 2 + 1 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i - i + 3*i + i - 5*i + (0 - 2 + 3)*(3*i + 2*i - 3*i) + 3*i - 5*i + 3*i + 0*i + i - 2*i - 2*i + 2*i - i - 1 + 1 + i)*(-245 - 55*i + 245).\nAnswer: -110*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 + w - 209. Determine u(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 369*n**2 + 3*n - 3*n + 424*n**2.\nAnswer: 793*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*r = -117*r + 80. Suppose -6*y = -r*i - 3*y + 46, 5*i + 5*y = 70. Solve 0 = -7*d + i*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r**(-11)\/r)*(r*r**(-25)*r)\/r assuming r is positive.\nAnswer: r**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11762516 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j - 3*j + 0*j)*(-2 + 2 + 3*j)*(2*j + 0*j + 0*j)*(-4 + 4 + 2*j) to the form l*j**4 + x + f*j**2 + q*j + k*j**3 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -1. Suppose -3*g + y = g. Solve 3*b + g + 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2222 and 318453.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 43 (b) -7 (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1007995.7 or -1?\nAnswer: -1007995.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27872 + -0.12128. Which is the closest to 673? (a) 0.5 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -573 + 593. Which is the second smallest value? (a) -1.7 (b) x (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -z - 10, 3*h - 3*z = 6*h - 6. Solve h = p, 1 = -5*n + p + 2*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -510 - -609. Calculate the remainder when y is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8967920.\nAnswer: 2, 5, 13, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39\/5 in 1\/2921, -0.5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a day in hours?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (111\/(-15) + 7)\/((-2)\/15). Find the third derivative of a*w**4 - 3*w**4 + 81*w + 136*w**2 - 280*w**6 - 11*w**2 - 83*w wrt w.\nAnswer: -33600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001174 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 14}. Give prob of sequence mem.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3213849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/66*1320\/2400?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46875*k**2\/4 + 2625*k + 147 = 0 for k.\nAnswer: -14\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 17 + 7*x**2 + 8 + 13.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w - 1. Let a(k) = 2*k**2 - 8*k + 14. Let d be a(3). Let v = d - w. What is the greatest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((121\/(-33))\/(1\/(-1)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3838 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1334109.\nAnswer: 6670545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**0)\/((b**(18\/7)*b)\/b))\/(b*b*b**(-2\/19)*b**(2\/13)) assuming b is positive.\nAnswer: b**(-6259\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbebeebbb. Give prob of sequence bbeb.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-150)*15\/10. Put 2\/15, t, -1\/8 in decreasing order.\nAnswer: 2\/15, t, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1369, 1371, 1383, 1411, 1461, 1539?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4.18. Let i = r - -6.68. What is i rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37269.5 + 984.\nAnswer: -36285.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 4, s: 3, a: 6, x: 2}. Give prob of sequence xx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4100 = g, -2*l = -3*g + 4*g - 4100. What is g rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/13 - 110*j**2\/13 - 1886*j\/13 - 9522\/13 = 0.\nAnswer: -23, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 - 2*j - 2. Let c(y) = 4*y**2 - 2*y - 3. Determine -2*c(i) + 3*m(i).\nAnswer: 13*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/2)\/(540\/(-120)*5\/15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -4792 - 2138. Let j be (-1)\/11 - (-994)\/r. Factor -2\/5*o**3 + 0*o - j*o**2 + 8\/5.\nAnswer: -2*(o - 1)*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 - (7 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/2)\/((n**(-3\/5)*n)\/n*n)*n**4*n**(-2\/3) assuming n is positive.\nAnswer: n**(103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 121 + -116 + 43 + 15\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/9 + 4325*j\/9 + 17284\/9.\nAnswer: (j + 4)*(j + 4321)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {m: 8, a: 1, t: 3, u: 4, j: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 544 - -3?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231166 and 213384?\nAnswer: 2773992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 22 - 48 + 24 - b**2. Let x be 2 + 0 + 0 - 0. Let y(o) = o + 4 - 5 + x. What is -d(w) - y(w)?\nAnswer: w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3105 is divided by 1023?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*h + h - 742, -4 = 2*s. Let m = h + -1307\/7. Let p = 6\/7 + m. Sort 5, p, -3 in ascending order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -505 - -530. Solve 8*n = 13*n + w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24051162 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21869*n**2\/2 + 43735*n\/4 + 3\/4.\nAnswer: -(n - 1)*(43738*n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 10)*2\/(-4). Is -3 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b**3 + 342\/7*b**2 + 6\/7*b**4 - 96 + 240\/7*b.\nAnswer: 6*(b - 1)*(b + 4)**2*(b + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143632004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-129)\/(-9)*7. Let j be 5 + 4\/(-4)*1. Suppose j*f - y = -93. Calculate the remainder when f is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 5. Let s(p) = -p**2 + 2. Let v(d) = -2*o(d) + 5*s(d). Let b(a) = 43*a**2. Determine b(v(q)).\nAnswer: 43*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 569524210019 and -4?\nAnswer: 569524210023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*h + h. Let r be ((-36)\/(-20) + -3)*h. Solve -5*i = t - 18, 2*t = -4*i + r*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 10*i. Calculate the remainder when s(-8) is divided by ((-2)\/3)\/((-2)\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53725, 107452, 161179, 214906, 268633?\nAnswer: 322360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 2*m**4\/3 - 5*m**3\/3 - 481*m**2\/3 - 40*m - 5528. Factor d(v).\nAnswer: (v - 12)*(v + 10)*(8*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171)*5)\/(sqrt(9) - sqrt(2268)\/sqrt(7)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -15 + 5076\/324)*60 + 7.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z + 8. Suppose -2*i - 25 = x, 4*x - i + 36 = -28. Let o(t) = -14*t + 23. Let c(s) = -s. Let b be c(-6). Calculate b*o(a) + x*q(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 6) in base 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Suppose n = 4*d + d - 30. Let t = -82 - -86. Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/6 - 123*u**3 + 136897*u**2\/6 - 45264*u + 67712\/3 = 0.\nAnswer: 1, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 9*o + 14. Calculate i(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97210.25 millennia in decades?\nAnswer: 9721025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -937\/7 - -134. What is the nearest to -14 in 4\/5, 1\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -320. Suppose -3*u - 3 = 0, 9*u = 3*l + 8*u - 16. Suppose -x - 62 = -l*y. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c + 5. Let m be j(-5). Let v be (3\/2)\/((-6)\/(-8)). What is the second derivative of -z + m*z**5 - v*z - 14*z**5 wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 13*r**3 + 132*r**2 + 23*r + 106. Give u(-10).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10607*l - 2*l**2 - 5306*l + 148 - 5301*l in the form p*l**2 + v + d*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*d + 1. Let u = 7 - d. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2. Let a(i) = 2*i**2 - 4*i**2 + i**2. Give u(a(j)).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 28, -4*n - 2*o + 188 = -1258. Is n less than or equal to 3290\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12150 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*18.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58928784 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = -23*h + 318 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, -2\/5, 3.06, -1224 in descending order.\nAnswer: 14, 3.06, 1, -2\/5, -1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*j - 5. Suppose 2 = -2*m + j*m. Let r(h) = 5*h**2 - 2*h**2 - m*h**2. Let z(f) = -f**2. What is r(z(l))?\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/2 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - 0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0.95. Let f = -12.56 + 12.26. Put h, 4, 0.2, f in ascending order.\nAnswer: f, h, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 1. Let w be p(8). Let j(z) = -z**3 + 13*z**2 - 9*z + 11. Is j(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = -3*d, 0 = 5*b + 2*d - 1 - 11. Let x = 38 + -35. Solve -b = x*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - 0.1. Let i be 12\/(-78) + 22\/(-26). Which is the closest to r? (a) 2\/17 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l + 3. Is -3\/10 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 13*x**2 + 5*x - 23. Suppose 65 = 22*k - 17*k. Calculate the least common multiple of s(k) and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -6. Factor -17 + v - 3*s**2 + 6*s**4 - 3*s**4.\nAnswer: 3*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 7*p - 2*p. Suppose -4*x - p = -6*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -1\/16*y**4 + 7\/6*y**3 + 207 + 0*y - 13\/8*y**2. Find x, given that z(x) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3073368 to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 - 232.5. Let k = 3.4866 + x. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdwqqddqddddsw. What is prob of picking 3 d?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -126*c + 133*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*v = 3, 0 = -4*g - 2*v - 2 + 4. Let c be ((-40)\/30)\/(4\/(-3)). Is g at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = f + 2*f + 9, 4*y + 9 = -3*f. Suppose y = -7*r + 5 + 1374. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372700 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -37?\nAnswer: -629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -18. Let k(t) = t**3 + 9*t**2 + t + 11. Let j be k(x). Solve 11*h**3 - 50\/3*h**4 + 0*h**j + 0 - 4\/3*h + 7*h**5 = 0 for h.\nAnswer: -2\/7, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + u = 5*s - 12, 5*u = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -3*(sqrt(68) + 3*sqrt(68)))*1)\/((3*sqrt(128))\/sqrt(8) - sqrt(16)) + -3.\nAnswer: -3 + 13*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-8 - -25) + -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b = 395 + 205 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (36 - 68) - -18.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(87\/(-87)*-1*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26629 is divided by 78.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 6, 13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose 0 = q + f - 11, 0*f - f + 25 = s*q. Solve 2*v = -4 + q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110890.\nAnswer: 2, 5, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:13 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -18574*h - 222892. What is j(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8 = 3*j + 1, 2*o + 2 = 3*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7965\/11 - 4286215\/5918. Find the common denominator of m and -115\/6.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, -2, 3\/4, 4, 1\/2, -0.092?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76) + 2 + sqrt(171))**2.\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 31.42. What is f rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -0.3, 1\/8.\nAnswer: -0.3, 1\/8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 94 + 130. Let w = b - 96. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*p - 248*p + 78*p - 33*p**3 + 85*p - p**2 - p**2 to the form v*p**2 + q*p**3 + i + c*p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -56*j. Let u(l) = -5*l**2. Give b(u(o)).\nAnswer: 280*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i\/i**1)\/i))\/i**(2\/5)*(i**(-1\/4)\/i)**(-1\/18)*(i**(-2\/17)\/(i\/(i**(-6)\/i)))\/(i**(-3\/7)\/i**4) assuming i is positive.\nAnswer: i**(-43681\/42840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*v, -f + 124 = 3*f + 4*v. Does 11 divide (-9)\/(-6)*(f - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*n**3*z - 15*n**3 - 2*n**2*z + 202*n**2 + n - 1 wrt n?\nAnswer: 912*z - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/11 + 49\/(-88)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 7*j**2 - 8*j - 2. Let a be m(5). Is (-2 + 18\/a)*(-18472)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3706595.\nAnswer: 5, 17, 43607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 538450235437\/47573046 - 10\/2642947. Suppose 0 = -3*l + 30277 + 3665. Let b = l - t. Calculate the common denominator of b and -59\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54829684 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b + 2. Let y(s) = -5*s + 1. Suppose 4*v = f - 24 - 27, 5*f = -2*v - 9. Let w be 6*(v\/4)\/6. What is w*g(a) + 8*y(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 200, 276, 314, 314?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4586203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s + 14337653 = -26*s + 81*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205.37 - 205.57. Which is the closest to 1\/2? (a) t (b) 239 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 27*c - 24. Is c != 2\/387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2089767 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -17, 0 in decreasing order.\nAnswer: 3, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-81) + (43\/4)\/(1224\/(-32)). Which is the nearest to 2\/9? (a) d (b) 3\/95 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41387 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: What is the hundreds digit of 19337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -4*o, -5*o - 4*r = -0*o - 9. Let f(g) be the first derivative of g - 7\/3*g**3 - 1\/2*g**2 + 3. Give f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.37 + 37. Let p = 4.73 - r. Let s = p - 0.1. Which is the smallest value? (a) 1\/6 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 - 12*y - 4. Let p(g) = -3*g**2 - 12*g - 3. Calculate -4*d(j) + 5*p(j).\nAnswer: j**2 - 12*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 + 6*t**3 - 5*t**3 - t - 14*t**2 + 12*t - 5. Let d be r(16). List the prime factors of (-1)\/(-12)*d + 6\/8.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 44153*l - 39592*l - 2 - 6 + 2183*l + (-3 + 0 + 5)*(2*l - 4*l + 0*l) as c + i*l and give i.\nAnswer: -81566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 5. Let l(j) = -11*j - 8. Let h(k) = -5*l(k) + 8*u(k). Let s be h(4). Let m = s - -10. Solve -3*a = 4*i - 5, m*a = a - 5*i + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.295? (a) 4\/3 (b) 21 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*x**2 + 207*x**2 - x**5 - 6*x wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15551.984 - -15552. Put 5, 3, v, 6\/7 in decreasing order.\nAnswer: 5, 3, 6\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0 - 2. Let s(j) = -52*j - 2. What is the remainder when s(l) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6726*m + 685089 = 247899 for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -16231*d + 16227*d - 10, -i - 4*d = -1 + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43\/84 + -1\/12. Which is the nearest to i? (a) 2 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1723, 1, -0.4, -1198?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/25515 - 51013\/433755. What is the closest to -30 in i, -25, 0.2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-5*p + 2*p - 3*p) - 4*p + 2*p + 0*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 104000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.076045 and -1.5.\nAnswer: -3.1140675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11254032 - 5?\nAnswer: 11254023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -3. Let v(b) = -26. Let a(h) = 32. Let z(y) = 4*a(y) + 5*v(y). Let s(o) = -4*o + 1 + o + 2*o. Determine u*z(f) + 2*s(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -79, -609, -2013, -4717, -9147, -15729, -24889?\n\"Answer: -71*n**3 - 11*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**3 - 92*b**2 + 553*b - 450. Calculate k(12).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5 - 2*j**4 + 1495*j**3 - 3*j**2 + 11745852*j wrt j?\nAnswer: 20*j**3 - 24*j**2 + 8970*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473 is divided by 310?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 12 = 0. Suppose b*i - 3*i = 15. Let c be -3*(-4)\/(-1 + i). Solve -n - 2 + 10 = 5*s, -12 = 3*n - c*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 4 (c) -9\/1565 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/16143778 and 53\/41412?\nAnswer: 96862668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 29*c**4 - 38*c**3\/3 + 15. Find the third derivative of u(n) wrt n.\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/54 - (-2015)\/(-117). Let s(p) = -40*p + 13. Let j be s(q). What is the highest common factor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2510 to the nearest 10.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006448373 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 658220655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v + 6 = -30*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 10. Let o be r(-7). Let x = -20 - o. Let v = 25 + -29. Put 1, v, x in increasing order.\nAnswer: x, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*p - 290*p + 890*p - 335*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0689 and -2.5.\nAnswer: 0.17225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 8*k + 4. Suppose 0 = p + 4 + 4. Let m be j(p). Solve 5*s + 22 = -r, r - 18 = -s + m*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 244620.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 551871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**5\/5 + 4*r**4 + 12*r**3 + 16*r**2 + 10*r + 106. Factor o(g).\nAnswer: 2*(g + 1)**3*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11331850 rounded to the nearest ten thousand?\nAnswer: -11330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3 + 8b7?\nAnswer: 7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 298583123009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57895699 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 624 and 280488?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(228))\/(-2*sqrt(1452)) + (-2 + sqrt(76) + -1 - (-2 + sqrt(76) + sqrt(76) + 0))**2.\nAnswer: 89*sqrt(19)\/22 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 870745 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*o - 22, 11*x - 6 = 13*x - 3*o. Suppose -x*f = -2*w - 74 - 198, -273 = -3*f + 3*w. What is the greatest common divisor of f and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 1, u: 2, l: 3}. What is prob of picking 2 u, 1 m, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 19 + 236*x + 290*x as j + n*x and give n.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3483 - 2897. Is -2 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-36) + 2\/(4*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9294875*s + 1525. Let g(r) = 18297*r - 3. Let x(n) = -1525*g(n) - 3*v(n). Let y be x(-10). Round y to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/720 + c**5\/40 + c**4\/24 - c**2. Let j(d) be the second derivative of y(d). Determine j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -32178*a - 353959. What is j(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 168 - 51. Suppose 7*b - 115 = 186. What is the remainder when f is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.7411 centuries in millennia?\nAnswer: 84.77411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.6209 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 2. Let v be -8 - -1 - 18*7\/(-14). Let o(t) = -4*t - 2. Calculate v*o(n) - 3*l(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-180)*-8)\/((-14)\/(-3)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-2)*-2)\/sqrt(7).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -212110211 (base 3) in base 9?\nAnswer: -25424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 299432\nAnswer: 1\/74858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -654c75 - 5?\nAnswer: -654c7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipzovvih. What is prob of picking 1 p, 1 o, and 1 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -53ce (base 15) to base 8\nAnswer: -42520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h - 1)*(-24 + 20 - 21)*(1 + 2 - 1).\nAnswer: 50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:02 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(972) + sqrt(1728)*3 + sqrt(1728))\/(2*(sqrt(288) + sqrt(32))\/sqrt(8)*-4).\nAnswer: -21*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + 2 - (1 + -5). Suppose 2*z - k = 6. What is the highest common divisor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1, -2\/961, -1\/6, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*t - 43, -t = a - 8 - 5. Suppose 2*r - a = -8*h + 3*h, 39 = 5*r + h. What is the derivative of -45*m**3 + 107 - 79 + r*m**3 wrt m?\nAnswer: -111*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1230\/(-45) - 2\/(-6). Let k = p - -34. Solve 17 = -2*o + k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100820933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9769387354 + 154.\nAnswer: -9769387200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 18, -4, 15, 1 in descending order.\nAnswer: 18, 15, 1, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(-4*(-1 + sqrt(125)) - (sqrt(125) + (sqrt(125) - (sqrt(125) + 1)) + sqrt(125))*-3)**2 + 4) + -5.\nAnswer: -8037 - 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) + 945\/297?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-2 + 332\/188)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - -7.8. Let s = 30 - p. Let r = -23.0000045 + s. What is r rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 17 = 5*h - 2, s + 5 = -3*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803700 rounded to the nearest 10000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 57?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*a - 13785 = 773 + 9676 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 5)*(-172*k**5 - 802*k**3 + 802*k**3) - 2*k**5 + k**5 + 0*k**5.\nAnswer: -689*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 72*r**2 - 75*r.\nAnswer: 3*r*(r - 1)*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 1424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 5, -401?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 10. Let j = 7.0167 - 0.0767. Let b = j - a. What is b rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - 70. Let n = 35.4 + k. What is n rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526 - 2165 - 5252 - 6114 = 245*g for g.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + z = -2*p + 364, -4*p - 5*z = -489. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = 3*x, -4*x = -2*u + 6*u - 44. Let m(f) = 2*f - 8. What is m(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -13*v**7\/210 + 7*v**5\/12 - 2839*v**3\/2 + v**2 - 7*v - 149. Find the first derivative of n(z) wrt z.\nAnswer: -52*z**3 + 70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2418 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 17\/2, -2, -7\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -668603*i**2*v + 2*i*v + 72554*i wrt i?\nAnswer: -1337206*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 537 = -o, -19*o = -15*o - 3*l + 2079. What is the hundreds digit of -9*1*o\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 12*j - 12, -i - 3*j + 10 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1784942010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 94, 219, 386, 589?\n\"Answer: -u**3 + 30*u**2 - 6*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -264*l - 2. Let n be f(1). Let q = n + 260. Let w(d) = d + 2. Determine w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*y - 154*y = 33679 - 8959 for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8860 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1187408897, -2374817794, -3562226691, -4749635588, -5937044485, -7124453382?\n\"Answer: -1187408897*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**8\/168 - m**5\/30 - m**2\/2 - m. Let z(t) be the first derivative of n(t). Find the third derivative of z(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 30866988377379.\nAnswer: 30866988377379.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 + 3.8. Let u = -7 - -10. Which is the closest to u? (a) -2 (b) 4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164844337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -14*u**2 - 605686*u - 173052 = 0.\nAnswer: -43263, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 3*h - 1. Let d be f(4). Calculate the highest common divisor of d and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -17067?\nAnswer: 17062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (0 - 6) - (-52 + 53)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 670604413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 82 - 73 = 196*o - 197*o, -c + 3 = -2*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7479 and 378?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.8 - -24. Let r = 5 - c. Suppose x - 17 = -5*w, 3*x - 17 = -3*w - x. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 5*d = 22*i - 5, -5*d = -4*i + 15. Calculate the greatest common divisor of 2 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 14*p + 1 + 3 - 1 - 6.\nAnswer: 19*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7dc59 (base 16) to base 14\nAnswer: -d5a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -84.2.\nAnswer: 1094.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-27))\/((-20)\/1))\/((-137)\/(44525\/(-104)))?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u - 23*u**2 + 9*u**2 + 19*u**2)*(1 - 7 - 2)*(-2 + 2 - 3) + 3*u**2 - 2*u**2 + 6*u**2.\nAnswer: 127*u**2 + 192*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 188.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.784483ns in milliseconds?\nAnswer: 0.000000784483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111 + 144?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 times -0.39\nAnswer: -2.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.89 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 8978\/13 - 9246\/13*q - 2\/13*q**3 + 270\/13*q**2 = 0. Calculate q.\nAnswer: 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 10*b + 14. Let h(t) = t**2 - 10*t + 11. Let s be h(11). Solve b = -4*p - 8, -4*x + 0*p - s = p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -695 divided by 139.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(22\/((-6776)\/22)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44 - -0.3. Let m = i - -5.74. Round m to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x**2 + 4*x. Suppose 0 = -4*b - 3*m - 31, -2*b - 2*m + 3*m - 13 = 0. Let p(o) = 3*o**2 - 2*o. Determine b*p(n) - 4*w(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 47 = -17. Let i(o) = -48*o**2 - 47*o**2 + 144*o**2 - 8 - 46*o**2 - v*o - o**3 + 9*o. Determine i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrv when three letters picked without replacement from wwfrorwovwww.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 22571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, -76, -197, -366, -583, -848, -1161?\n\"Answer: -24*w**2 - w + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-60) + (-114)\/(-5). Let t(g) = g**2 - 6*g + 5. Let y be t(6). Find the third derivative of 6*v**2 - s*v**y + v**2 + 13*v**5 wrt v.\nAnswer: -600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z - 4. Let p(y) = -9*y - 3. What is -2*c(l) + 3*p(l)?\nAnswer: -9*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 3. Let f be (p + 3\/3)*-9. Calculate the greatest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 2 - (-2 - -3). Let r(x) = -x**2 - 3*x + 6. Let b be r(u). Solve 0 = -t + 3*z, -t - b*z = -z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhaj when four letters picked without replacement from {a: 2, u: 1, h: 3, t: 3, q: 1, j: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 4, -166 in decreasing order.\nAnswer: 4, -4, -8, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + (-11 - -17) + 3312 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 3, d: 8, k: 4}. What is prob of sequence ww?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757024271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -37 + (-4 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 337173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehehe. What is prob of picking 1 h and 1 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2767 - -2774. Sort 1, x, -20 in decreasing order.\nAnswer: x, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2462298 is divided by 1309?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**3\/3 - 3*b**2\/2 + 6*b - 3. What is the remainder when f(-6) is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -18*d**2 - 6*d + 6. Let o(j) = -j + 1. Let n = -512 - -513. What is n*z(b) - 6*o(b)?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 2 - (-46 - -17) - (-1 + -10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 1 r when three letters picked without replacement from pyplfpprdpp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421869363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184\/17 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)\/l)**12*(l**(-1))**(-30) assuming l is positive.\nAnswer: l**(102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*m + 205*m + 37000 = 89*m - 21*m for m.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 858 - 817. What is the greatest common factor of 861 and l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**2 + 2*f - 3. Let p be y(-3). Suppose l = -2*l + p. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**3 - 2*d**2 - 17*d + 14990. Calculate the smallest common multiple of k(0) and 10.\nAnswer: 14990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 3449, 7759, 13793?\nAnswer: 21551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -33*i**2 + 11*i + 761. Determine s(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 452, -3, -4, -8, 7, 0.35 in descending order.\nAnswer: 452, 7, 0.35, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -89, -214, -379, -578, -805?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5293573 tonnes in kilograms?\nAnswer: 529.3573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p - 64 - 67 - 64 + 202. Suppose y - 2 = 3. Let f(r) = -3*r - 3. Calculate y*f(s) + 2*i(s).\nAnswer: -5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**5\/7 + 51*b**4\/7 - 186*b**3\/7 - 42*b**2 + 27*b + 243\/7 = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (36\/8)\/((-72)\/(-12))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 + -6.43. Let x = 7 + b. Let r = -1745\/38442 - 1\/894. What is the smallest value in x, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 bigger than -161\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Suppose 0 = 9*b - 12*b + 18. Let c = b + r. Sort c, 1, -4.\nAnswer: -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13 - 8*a - 5*a - 8*a**2 - 9*a**2. Let c(i) be the first derivative of 3\/2*i**2 + 3 + 4\/3*i**3 + 3*i. Give -26*c(d) - 6*v(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**3*w**2 - 2*d**3*w + 25*d**3 - 21*d**2*w**2 - 1 wrt w?\nAnswer: -4*d**3 - 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uzueeeuqrzqzequeequz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 38\/4)\/((-3)\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0*i**2 + 0*i**2 + 1)*(-6*i**2 + 2*i**2 - 4*i**2 + (3*i - i - 4*i)*(2*i - 2*i - 2*i)) + (i**3 + i - i)*(-2*i + 2*i + i).\nAnswer: 9*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 + x. Let u be w(-1). Let r(c) = -c**3 + 4*c**2 + 4. Let q be r(u). Suppose 5*j = -20, q*j + 4 + 12 = -5*v. Does -6\/7 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55794, -56005, -56214, -56421, -56626, -56829, -57030?\nAnswer: -57229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 6\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6993 - -7001. Is s at most as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -21 (b) 1 (c) -12 (d) -3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 0.2. Let t(i) = -4*i**2 + 9*i - 9. Let p be t(6). Let n = p - -697\/7. Which is the nearest to 0? (a) n (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ggyygvvy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-6) - (-1152527198)\/12. Let w = 10256066 + m. Round w to the nearest 1000000.\nAnswer: 106000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.92 + -0.08. Let h = y - -3.1. Let r = h + -0.6. Put r, 0, 0.2 in ascending order.\nAnswer: r, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f**2 - 3*f. Let c(a) = -7*a**2 + 2611*a - 2611*a + 2*a**2. What is s(c(p))?\nAnswer: 250*p**4 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d0 + 7323?\nAnswer: 7133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:12 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggocxxygoxko. Give prob of sequence xyok.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.6 + -3. Let r = -71\/18 + 22\/9. Which is the closest to -3? (a) 0.4 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 times 45?\nAnswer: -11925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - z + 26. List the prime factors of p(0).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen quarters of a hour?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 3*s - 2. Let m be d(-4). What is the remainder when 23\/2 - m\/4 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 3 + (6 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55 take away -35788?\nAnswer: 35788.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*h = -31, u - 285 = -3*h - 296 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*n + 12. Suppose 2*r + 5 - 13 = 0. What is the lowest common multiple of r and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -621 - -20495\/33. Is r greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/162)\/((-187)\/(-306))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -824 - -815.14. Let k = 0.94 - h. Let a = k + -10. What is the biggest value in a, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*b - 1 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 220869920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)*(-8 - -8) + 2. Which is the biggest value? (a) -0.2 (b) 9 (c) z (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 7*g**4 + 2*g**3 - 2*g + 4. Let u(j) = 36*j**4 + 11*j**3 - 11*j + 20. Let s(f) = -2*u(f) + 11*x(f). What is the first derivative of s(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3213 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**7\/70 + 5*q**4\/24 + 20*q**2. Find the second derivative of u(w) wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 22533 = -110497 - 25064. What is y rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f + 3*f - f)*(1 - 1 - 2*f) + 0 - f**2 + 0)*(f**3 - 4*f**3 + 2*f**3).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*u + 3873 = -7470 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 192*m + 45. Is z(-54) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 342401340 (base 5) in base 7?\nAnswer: 15663550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 34*i + 16*i - 72*i**2 + 16*i + 2*i.\nAnswer: -73*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**4\/6 + 2*w**3\/9 - w**2\/3 - 2*w\/3 - 8. Factor z(o).\nAnswer: 2*(o - 1)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.5, 5, -2, -0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124975 and 76664664?\nAnswer: 4999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.94 + -47. Let g = 0.06 + x. Let w(u) = u**3 - u**2 - 3*u + 1. Let n be w(2). Which is bigger: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v. Let r(a) = -a. Let k = -6 + 2. Let w(q) = k*s(q) - 12*r(q). Let y(c) = -2*c. Give w(y(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -617*l - 48. Let y be w(-5). Suppose 4*k - y = -m, 4*m - 5 = -m. What are the prime factors of k?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - n - 26 = n, -20 = 4*n. Let f be (-6 + 8)\/(z\/6). Solve -x + f*x - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 158*i + 5. Let q be f(4). What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 144414434021?\nAnswer: 144414434014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -603 - -608. Suppose n - 4*c + 4 = -n, 4*c = 4*n - 8. Solve -1 = 3*y + 5*m + n, 2*m = y - g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0 = -56. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 6*p + 4. Let h be 2\/(p - 24\/(-10)). Let i(d) = -d**2 + 83*d - 527. Let j be i(7). Solve 0 = -j*m - 5*w + 54 - 19, h*m = w + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3*z - 2*z)*(z + z - z)*(-2*z**2 - 1178*z + 1171*z + z**2) to o*z**3 + w*z**2 + c*z + p*z**4 + f and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -62 + 6*n**2 + 26 + 17 + 19. Let g(y) = -5*y**2 + 3*y**2 - 3*y**2. Determine l(g(p)).\nAnswer: 150*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3348 and 1426?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*r + 34, j - 12 = 2*r + 10. Let q = j + -34. Let x(z) = -z**2 - 6*z - 1. Calculate x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0. Let d = -0.4 + u. Let j = 2.95 - -0.05. Sort d, j, -4.\nAnswer: -4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 330 and 29430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 27 = 4*r - 77 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2744906 to the nearest integer?\nAnswer: 1657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.83541 hours to minutes.\nAnswer: 3830.1246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(4032) - (sqrt(4032) + 0)) + -1)*-6*-1*3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -3587\/140 = -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -81. What is the third biggest value in -0.2, -10, k?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/(-3)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2fc (base 16) in base 7?\nAnswer: -2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/12)\/(1\/(-8)). Let l = o - 3. What is the highest common divisor of 70 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -745\/2142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2148493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(2*o - 4 + 4) + 3*o + 2*o - 3*o - 2*o - 2*o + 3*o - o + o + o + 743 + 2*o - 3921 - 2194.\nAnswer: 8*o - 5372","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 882 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.367 + -3.76. What is c rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 14. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z**3 - 8*z**2 - 8*z**2 + 14*z**2 to u*z + r*z**2 + i*z**3 + p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 162\/45 + -7 + -3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 15, 0 = -0*u - 2*u - 5*y + 271. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 at most 2191\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*j = -30, 4*y = -2*j + 5*j + 3. Let u = 7 + y. Solve -2*d + 5*t + 5 = -0*d, -1 = -u*d + t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1)*t)\/(t*(t**(-6)\/t)\/t*t))**(-5) assuming t is positive.\nAnswer: t**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:11 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187 + -113. Suppose -4*k - 22 = -q. Let z = 18 - k. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + 3*sqrt(425)))**2 - (-1 + sqrt(17)*3)**2.\nAnswer: 6*sqrt(17) + 3671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 + 4*x. Let l(a) = a**2 + 14*a - 22. Let j be l(-15). Let o(c) = c**3 - 7*c**2 - 5*c. What is j*q(f) - 6*o(f)?\nAnswer: f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -70 + -3?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 3466 - 1214 = 0. Is y a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313165933 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2437151238?\nAnswer: 2, 3, 271, 499621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k - 38. What is the remainder when 47 is divided by z(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 11*h + j, 4*h = -3*j + 10. Solve 24*i = -h - 47 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139318 rounded to three dps?\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2414 and 1442578?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3 (c) 4 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/6*(-2)\/15.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, u: 4, j: 1, d: 1, f: 3}. Give prob of picking 1 c and 3 f.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2035\/15 + (-43)\/(-129). Solve -22*l - 46*l - c = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + 2*a**3 - 2*a + 2*a**4 + 0*a**4 - 2 + a in the form n*a**2 + m*a**4 + i*a**3 + f*a + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 2. Let u = 1219 - 1217. Let p(q) = -1. Calculate u*p(f) + 3*j(f).\nAnswer: 3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2111, -8566, -19347, -34436, -53815?\nAnswer: -77466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = v - 33. Let a be 7 - (-1)\/(1\/(-3)). Suppose a*z = 21 + 3. What is the lowest common multiple of v and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90327963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10988 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: List the prime factors of 346185.\nAnswer: 3, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 10*j = 2721. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2632 + -1331. Let s = 1301.000000613 - o. What is s rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/24 - 7*s**5\/60 + s**4\/8 + s**3\/6 - 94*s**2. Let x(g) = -3*g**3 - 5*g**2 + 2*g + 1. Calculate 5*i(u) - 7*x(u).\nAnswer: -4*u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 0.1, -4\/7851 in descending order.\nAnswer: 0.1, -4\/7851, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -116804?\nAnswer: 5\/116804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-6)*n)*(n*n**(-6))\/n*n)\/(n*n**(-2))**(-24))**(-43) assuming n is positive.\nAnswer: n**989","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 64*s - 5237. Let t be b(83). What is the highest common factor of t and 4245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {x: 5, c: 9, d: 1, s: 1, j: 1}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -110, -108?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*x + 76381 = -595*x - 12887 for x.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*d**4 + 2005*d**3 + 39910*d**2 + 134780*d + 126360 = 0. Calculate d.\nAnswer: -13, -2, 486\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 0, 24.98?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 660 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-13 + (-4)\/(-2)). Suppose 4*q = -1 + b. Let h(g) = g**q - 4 - 7 + g + 4. Calculate h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7072 (base 9) in base 3?\nAnswer: -21002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13042, -13048, -13058, -13072?\nAnswer: -13090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(3\/((-66)\/8))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**2 + 0*a + 48 - 6\/5*a**3 - 1\/10*a**4. Factor j(k).\nAnswer: -2*k**2*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 4*y + 23 - 47, 5*y - 27 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-3*3)\/sqrt(2) + -3.\nAnswer: -9*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 6, r: 5, e: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 - 164*a**3 + 4785*a**2 + 11578*a - 41000 = 0. Calculate a.\nAnswer: -4, 2, 41, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/(u*u**(2\/23))*(u**(-12))**(2\/15) assuming u is positive.\nAnswer: u**(496\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d + 6897 + 6900 + 6*d - 7*d - 13797.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1691, 7095, 16795, 31355, 51339, 77311, 109835, 149475?\n\"Answer: 94*l**3 + 1584*l**2 - 6*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6317\/20 + 1578\/5. Which is the closest to 6? (a) -2\/29 (b) k (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.035 + -1.965. Which is the third biggest value? (a) o (b) 0.4 (c) -4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*m + 145. Let i(s) = 10*s + 161. Let t be i(-14). Let p = m - t. Solve 4*z - p = -0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4565755, -4565757, -4565759, -4565761, -4565763, -4565765?\nAnswer: -4565767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2937282 is divided by 1504?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 123489*h + 1481855. Calculate t(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2254 - -25114. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-51)\/(-12) - 1\/4. Let g be -5*(-532)\/(-455) - 1\/(-13)*-2. Let i(l) = -2*l - 4. Let q(w) = 4*w - w - 4*w - 3. What is g*q(v) + n*i(v)?\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 1. Suppose 0 = 18*q + 5*q - 8924. Let i = q + -389. Let z(a) = 2*a - 2. Calculate i*z(h) - 4*x(h).\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -29654963 rounded to the nearest ten thousand?\nAnswer: -29650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-4 - -25)) + 1 - (-232 + 90)?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from wppwwww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + 0 + 7 + (6 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12822 - -12855. Calculate the remainder when 1548 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.96 - 9.96. Let t = 1\/22 + 5\/11. Sort h, t, 3, 1\/5 in increasing order.\nAnswer: 1\/5, t, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/52)\/(2\/8) + 1512\/(-364).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.94 or 112?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104122 + -22?\nAnswer: 104100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*o - 684, 5*v + 893 = 5*o + 48. Suppose -2*w = 36 - o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -5*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72324 or 72337?\nAnswer: 72337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by (47 + (18 - 0))\/1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/(-5) - 24\/30. Let a(t) = v + 2*t**2 + 2*t**2 + 7*t - 3*t**2 + 2*t**2. What is the tens digit of a(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165676932 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + 1 + (-2 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8728 rounded to 2 dps?\nAnswer: 2.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -7*b + 2*b - 10, 14 = 2*b + 4*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 215*m - 162. Let r be h(-58). Is -5904 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = -k + 180. Which is the third smallest value? (a) -4801 (b) k (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 16, 21, 26, 31?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6\/(-9)*((-18)\/42)\/(-1))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(-232)\/(-174)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.028 and -56.\nAnswer: -55.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 13. Suppose -3*f + 28 = -5. Determine h(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11242 is divided by 403.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.4351578 to one dp.\nAnswer: -102.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -17*k - 1. Let n(v) = -6*v + 2*v**2 - 3*v + 9*v. Give n(t(i)).\nAnswer: 578*i**2 + 68*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16\/(-56) - (-50060)\/35 is divided by 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -21*j - 6. Let y(a) = a**2 - 2*a - 2. Give -g(h) + 4*y(h).\nAnswer: 4*h**2 + 13*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 188 = 4*h, h - 3*z = -h + 2*z - 2*z - 38 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 + 69*j - 9. Let u(a) = -a**2 + 17*a - 2. Determine 2*r(v) - 9*u(v).\nAnswer: -v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 7:07 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3032 = -4*h - 5533 + 2777 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-3 - 0)*(230 + -10182)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/99*(-14934)\/28. Let p = 387\/14 - z. Calculate the common denominator of p and 21\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*j**3 + 202*j**3 - 1 + 157*j**3 + 185*j**3.\nAnswer: -46*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - t + 3 = 0, -8 = 27*k - 26*k - 2*t. Solve j = 18*l - 15*l - 10, -k*l - 10 = -4*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -39. Calculate the remainder when h is divided by 17 + 0\/1*1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-14)\/8)\/(-7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -2*i + 3*n - 74, -31 = -i - 2*n. Suppose -5*f - v + 3*v = -3361, -f = v - 668. Calculate the highest common factor of i and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) - (-15)\/4. Suppose -2*i = p*o - 12, i - 5*o - 29 = -2*i. Let b(g) = -g**2 + 5*g - 2. Let n be b(3). Solve 0*h + n*h - i = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*h - 38*h - 4984 = 0. Calculate the remainder when 612 + (-1 - -2) - -2 is divided by h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 960?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/12 + (-158)\/6. Let k be 595\/(-40) + (-2)\/(15 + 1). Let s = k - m. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5363773*r**2 + 2681949*r**2 + 2681958*r**2 - 3*r.\nAnswer: 134*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8*k + 2. Let y(o) = 16*o - 5. Let i(m) = 5*a(m) + 2*y(m). Let n(u) = u. Let z be 11 - -299*(-13)\/169. What is z*n(c) - 3*i(c)?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*l + 1542 = 0, -4*f + 18*l = 16*l - 1548. Suppose 1060 = 8*h - f. What are the prime factors of h?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Let m = 5 - 7. Let g be 1 - (m - 0\/(-1)). Solve i*d = g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {f: 7, o: 1, h: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 33*j = -37*j + 4, -p + 19 = 4*j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -23033*z - 138174. Give m(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -728*v - 44. Let c be n(-4). Let p = c - -331. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 29*h. Let w(x) = -55*x + 15*x + 15*x + 19*x + 14*x. Give w(q(g)).\nAnswer: 232*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 919.\nAnswer: 5514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and -10.5685.\nAnswer: 0.0739795","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -36. Let f = x + 17. Let j = -3\/70 + 89\/35. Sort -3, j, 1\/10, f.\nAnswer: -3, 1\/10, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -38. Suppose -7 = -3*q - f, -2*q = -i - 2. Suppose 209 = 3*u + y, i = 4*u - 4*y - 258 + 6. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67, -39, -23, -25, -51, -107?\n\"Answer: -u**3 + 35*u - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4)**44)**(-36)*((w**14\/w)\/(w\/((w\/(w*w**(-5)))\/w)))**40 assuming w is positive.\nAnswer: w**(-5696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*u = -253, 0*i - 5*u - 120 = i. Let h = i - -235. Is (-1 - h\/(-6))*3 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) 1 (b) 1\/6 (c) 0.43 (d) 5 (e) -3\/7 (f) -24\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 1. Let j(a) = 19*a**2 + 21*a - 3. Let q be 15\/(-10)*1\/(6\/4). Let n(p) = q*j(p) - 3*f(p). What is the second derivative of n(b) wrt b?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 13. Let q be b(-5). Let l be ((-6)\/(-8))\/(9\/32). Factor 8\/3*g - 2\/3*g**q - l.\nAnswer: -2*(g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 4:12 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**5\/60 - 13*j**4\/24 - j**3\/3 + 118*j + 26. Let v(l) be the third derivative of k(l). Give v(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (sqrt(833) + 4)**2)*5 + 2 - (4 + -2 + sqrt(612) + -3)**2.\nAnswer: -4856 - 233*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-68)\/(-18) + -4 + (-536)\/18. Let t = -27 - b. Determine m, given that 0*m - 2\/3*m**t + 0 - 2\/3*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3668 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: Let w = 2\/53 - -473\/106. Let j(g) = -g - 5. Let f be j(-8). Factor 0 + w*a**3 + 1\/2*a + f*a**2.\nAnswer: a*(3*a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 3 + 0 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 - 49546*y**5 + 3*y**2 - 1926*y + 4 wrt y?\nAnswer: -240*y**3 - 2972760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24684191 is divided by 7316.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15082714741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9187 - 5.2689. Round c to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 1:04 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 53?\nAnswer: -5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 24. Calculate the remainder when 35 is divided by u(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 606551 and 22847?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -35\/23, 3\/4, 0.4, -3, 0.3 in descending order.\nAnswer: 3\/4, 0.4, 0.3, -35\/23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 9\/(-6))\/(2\/(-72)). Let j = m + 20. Suppose -j = f, -2*f - f = 4*x - 5750. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 7*n + 4. Let x(d) = 4 - 6*d + 3 - 4 - d**2. What is 6*x(w) - 5*z(w)?\nAnswer: -w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.22 + 48.5691331.\nAnswer: 49.7891331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6 = -4*c - 18, 2*c + 30 = -5*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 5}. What is prob of sequence op?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43681 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujajaufafffaattaffj. What is prob of picking 2 f and 1 a?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 179211 + -179199.00016. Let b = 12 - x. Round b to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:33 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from baabbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 15*t - 15*t - 2*a = 2*t - 16, 29 = t + 3*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 887 or -2146?\nAnswer: -2146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r + 6. Let y be p(4). Let c be (2 - 4) + (-18)\/y. Suppose 4*n + 17 = -3*u, 4*u + 5*n - 13 = -34. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - 6. Let b(j) = j**3 - 7*j**2 - 12*j + 2. Let y be b(8). Let s = y - l. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -7. Let u(j) = -7*j - 2. Let i(k) = -28 + 7*k - 25 + 56. What is f*u(d) - 2*i(d)?\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/15 - (-6)\/40. Let r = -6 + 8. Let q = 1 - r. Which is the smallest value? (a) l (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/11 + 28*o**4\/11 + 8*o**3\/11 - 1072*o**2\/11 + 1920*o\/11 = 0. Calculate o.\nAnswer: -6, 0, 2, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 278*u**3 + 254*u**3 + 5.\nAnswer: 532*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*y - 1 = 0, -1140*r - 4*y + 24 = -1137*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 + 2652*r**4 + 2656*r**3 - 7954*r**2 - 13263*r - 5306 = 0 for r.\nAnswer: -1, 2, 2653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (46 + 83 + -81).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-96)\/(-6))\/(-4) - -4. Suppose 4*k - 902 = -g, a = -3*g + 9 - 3. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -35447569?\nAnswer: -1\/35447569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - (35 - 32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3)\/d)**(-37))**(-2\/165) assuming d is positive.\nAnswer: d**(-148\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:39 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 4. Let k be u(-4). Let v = -2 + 2.02. Let z = -0.18 - v. What is the closest to k in z, -2\/11, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3293 (b) 9 (c) 1 (d) -3\/2 (e) 3\/5 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - 48. Let u = 1 - -1. Calculate the lowest common multiple of (-14)\/y - (-72)\/7 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2856 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v**3 + 40*v**3 - 739*v + 741*v.\nAnswer: -32*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4320) - sqrt(4320)) + 2*sqrt(3630))\/(sqrt(600)*-1*-5*3).\nAnswer: -sqrt(5)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 12, 5, 1\/53, 29 in decreasing order.\nAnswer: 29, 12, 5, 1\/53, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + z = 6*z + 163, -2*z - 131 = -3*o. Calculate the greatest common factor of 611 and o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, g: 1, s: 3, u: 1, a: 3, e: 5}. Give prob of sequence suaa.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 8*a - a**2 - 1 - 2*a - 5*a. Give n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 + -137.85. Let g = 0.15 - o. Let c = -0.2 + 1.2. What is the nearest to g in c, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let h = -7 - -7. Let x = h - 0. Sort 5, x, s in descending order.\nAnswer: 5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2. Let g(m) = 32*m - 3. Suppose -3094 = 17*o - 0. Let a(q) = 962*q - 91. Let c(w) = o*g(w) + 6*a(w). Calculate c(f(v)).\nAnswer: -104*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1 (c) 0 (d) -1\/173 (e) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1067*r - 9*r**4 - 1067*r + (3*r**2 - r**2 - 3*r**2)*(3*r**2 + 0*r**2 - r**2) + (-2*r - 1 + 1)*(4*r**2 + r**3 - 4*r**2).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107337963 divided by -8157.\nAnswer: 13159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-5)*5335\/(-7469)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 160 = -6*f. Let c be ((-144)\/(-40))\/(6\/f). Calculate the remainder when 19 is divided by 4\/c + 35\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 640051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 7*v + 3. Let h be w(7). Suppose 4*g = -5*x + 102, -h*x - 2*x = -10. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 12*f**2 + 8*f - 2. Give r(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1335664, -2671328, -4006992, -5342656, -6678320?\nAnswer: -8013984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28\/3 - 10. Let g = -2 + 6. What is the second smallest value in h, -3, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -43*b**3 - b**2 + b + 1. Determine q(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 10) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d + 141. Let p be q(-6). Suppose 11*h = -p*h + 17536. List the prime factors of h.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 17 + 11 = 0. Let y(u) = 5 + 2 + 6*u + f. Is y(12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + -2 + -26 + -7 + 35 + 3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((32 - 17) + -4 - 20) + (6 - -21)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 + 952 = -24*l. Is l at most 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -465 and -465 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25242 + -2?\nAnswer: -25244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/18)\/2*6\/20. Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 2, f: 10}. Give prob of sequence ll.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44061.5 micrograms in nanograms?\nAnswer: 44061500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 + 7) - ((-19 - (1 - 90)) + -12).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -313, -308, -301, -292, -281?\n\"Answer: d**2 + 2*d - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 259*s + 58540. What is d(-226)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 0*o + 2*o)*(-5*o**3 - 2*o**3 + 3*o**3) + 23*o**4 - o**4 + 32*o**3 - 30*o**3 to the form f + z*o**4 + b*o**3 + g*o + y*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58050276 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 8, -6*w - f = -3*w + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 1 = 3, -15 = 5*z - 5*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -52680.\nAnswer: -52679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110214442 (base 5) in base 14?\nAnswer: -c57b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 397*n - 1151. Calculate u(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. Let l = 33 - r. Suppose 5*t - l = -0*t. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5405 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*r**5*y**3 + 7*r**3*y**3 + r*y - 6*y**3 - 12*y**2 wrt r.\nAnswer: -340*r**3*y**3 + 42*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + 0 + 14 + 0 - 5 + 0 + 4*f**4 in the form v*f**2 + s*f**3 + h + g*f + r*f**4 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33236 - 23405. What are the prime factors of l?\nAnswer: 3, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50194591*l*t**4 + 32*l*t + 171757*t wrt t?\nAnswer: -602335092*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 5*f - 45 = -21*o, 2*o + 4*f + 50 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) - 152\/12. Calculate the remainder when 525\/18 + 2\/v is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201233220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (42 - 0) - (1755 - 1751)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37901922?\nAnswer: 2, 3, 19, 332473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 11) in base 5?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-29)\/(f*f*f**0*f*f)**13)**(26\/5) assuming f is positive.\nAnswer: f**(-598\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)\/(o**(-6\/5)*o)*(o*o**(-4)\/o)**44 assuming o is positive.\nAnswer: o**(-909\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92097 or 92067?\nAnswer: 92067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114743970379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 56 = -344 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 10*f = 9*f + 498, -2*y + 4 = 2*f - 2 + 66 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = 0, 3*o - 2 = q - 0. Let n(m) = m**o + 1 + 6*m - 6*m. Give n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)\/((-5)\/15). Let r = 6 + q. Suppose 0 = -r*x + 4*o - 2 + 3, -2*x - 2 = -4*o. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.34 and 5.25943947.\nAnswer: 5.59943947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 4*c**2 + 3*c + 5. Suppose -3*u + h - 21 = 2*u, 3*h + 5 = -2*u. Give n(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 94*a + 1514. What is j(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 3*y + 2. Let d = 5 - 5. Suppose 2 = 2*r - 5*b, d = r - 5*r - b - 18. Calculate c(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 36114*b**2 - 178660566*b - 137575671318.\nAnswer: -2*(b + 939)*(b + 8559)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 2\/3, 4, -0.2, -13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 19*h + 23. Let p be x(-17). Let t = 58 - p. Solve d + a = t, -3*d + 0*d = a + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*2\/4 + 0. Let d be (6\/(-12))\/(2\/4). Is f - (-10 + (0 - d)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 212 = 2*p, 8*l = -p + 4*l - 103. Let v = p + 123. Which is the smallest value? (a) 1 (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = d - 6, -6*d = -3*d. Solve -k*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1926*b + 48151. What is i(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t**(12\/5)*t*t)\/t)*t**(7\/2)\/t*(((t\/(t**(-26)*t))\/t)\/t*t)\/t**2 assuming t is positive.\nAnswer: t**(231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6542 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 959452351992 + -28.\nAnswer: 959452351964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m - 70. Give a(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 82058*h\/11 - 246192\/11.\nAnswer: 2*(h - 3)*(h + 41032)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + 11 - 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(8) + sqrt(16)\/sqrt(2)))**2 - sqrt(51)\/sqrt(27).\nAnswer: -sqrt(17)\/3 + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.019, -0.3, -1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0795 - 0.8795. Which is the fourth smallest value? (a) k (b) -5 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51\/2 or -0.01?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0.5, -25681 in decreasing order.\nAnswer: 0.5, -18, -25681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (1 - 4) + (-4)\/2. Let m be ((-12)\/6 - z)\/(1\/(-8)). What is the common denominator of m*1\/(-1 - 6) and 109\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/12 + g**3\/3 + g**2\/2 - 7*g. Suppose 6 = -3*h + h. Let b be o(h). Solve b*q - 5 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -5\/4 (c) 2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 65, 236, 567, 1112, 1925?\n\"Answer: 9*b**3 - b**2 + 5*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 * 26264\nAnswer: -446488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 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: What is the square root of 917418 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuykjyujjjfufuyhuhy. Give prob of sequence uk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*g - 25, 555*q + 8*g - 65 = 560*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 3*s**2 - 2*s + 1. Suppose -6*k + 5 = -k + 3*v, v - 1 = -k. Let w(o) = -2*o**2 - 1 + 11*o**2 + 0 - 8*o**2. What is k*m(f) + 3*w(f)?\nAnswer: -f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3084 less than -1.8?\nAnswer: 3082.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -7 + (13 - 1 - (17 - 11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 0, -10, -34, -78, -148?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -44\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6219 divided by -691.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 25560?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1979561.\nAnswer: 179, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43092809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8845860.\nAnswer: 2, 3, 5, 379, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -318300 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**3 - 1746*l**2 + 3483*l - 1740 = 0.\nAnswer: 1, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d**2 + 5*d - 3. Let t(g) = g**2 - g + 1. Let b(o) = -l(o) - 5*t(o). What is the derivative of b(c) wrt c?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53919 is divided by 402.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*a**5*j + 3*a**5 - 31*a**3 + a**2*j - 350*a**2 + a wrt a.\nAnswer: 1380*a**2*j + 180*a**2 - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -313.4 + 235. Let x = -78.40000437 - a. What is x rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -7 - -7) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:42 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21*3\/54*6. Let n = -31\/5 + z. Find q such that -n*q**2 - 1\/5*q - 6\/5*q**3 - 4\/5*q**4 - 1\/5*q**5 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + r)*(0 - 2*r**2 + 0) + 2*r**3 - 7*r**3 + 2*r**3 + (-2 + 2 + r)*(12*r - 7*r**2 - 12*r) + r**3 - 3*r**3 + 0*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.94 - 4. Let d = -94 - -467\/5. Let p = 1828 + -1825. What is the closest to y in p, 1\/7, d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 33*t**2 - 2*t + 371*t**2)*(9*t - 9*t + 2*t**2) in the form k*t**3 + d + i*t + m*t**2 + r*t**4 and give r.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 218546 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64633, 64645, 64663, 64687, 64717, 64753?\nAnswer: 64795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39521378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5322321 (base 8) to base 10\nAnswer: 1418449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 32350913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)*i**(-2\/7))\/(((i*i\/(i\/(i*(i**(-11)\/i)\/i)))\/i)\/i*i*i*i**1) assuming i is positive.\nAnswer: i**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 4, k: 9}. What is prob of picking 2 k?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 4*p - 4*m, 3*p - 9 + 78 = -5*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 35968210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 8. Is -1*(z\/2 - 53) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 23*b - 131. Determine m(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**3 - 13*n**3 - 26*n**3)*(4 - 2*n**2 - 4).\nAnswer: 56*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/15 - (-2)\/(14\/(-7))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 21*t**2 + 20*t + 8. Give j(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5 + 7. Let n be 6\/f - (-20)\/(-9). Is 0 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 3 + 2*q**3 + 1 + 0 - 21*q.\nAnswer: 3*q**3 - 21*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, d: 3, l: 2}. What is prob of sequence slsd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 585102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.03, -1\/2, -5, 3 in increasing order.\nAnswer: -5, -1\/2, -0.03, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 2*a = -8, 9*j - 5*j + 4*a - 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 + 22*c - 605.\nAnswer: -(c - 55)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 14*i**3 + 5*i**2 - 6*i - 5. Let d be k(7). Suppose 27265 = -9*c - d. Let p = 1785 + c. What is p rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1246 and 79605071?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 199, -4, 5, -5.\nAnswer: -5, -4, -2, 4, 5, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 9*q**7\/70 - 5*q**4\/6 - q**3\/3 - 13*q**2. What is the second derivative of v(o) wrt o?\nAnswer: 324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 300*y + 85. Let g(w) = 48*w. Give 6*g(z) - v(z).\nAnswer: -12*z - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-27\/2)*w\/(w*w**24*w))\/((w\/((w\/((((w\/(w*w**(-15)*w))\/w)\/w*w)\/w*w))\/w)*w)\/w**(-15)) assuming w is positive.\nAnswer: w**(-137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/2 - 367*m**3\/2 + 21197*m**2\/2 + 2496763*m\/2 - 2537697 = 0. Calculate m.\nAnswer: -57, 2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from pnnpnppnpppnnnnpnp.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0 - 6. Suppose -x = -5*t - 34 + 11, -3*x = -u*t - 121. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(h**3 + 0 + 0) + 0*h - 2*h**3 + 0*h - 3 + 4*h**3 - 6*h**3 + 0.\nAnswer: -3*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 12 = -12. Suppose 15 = -i*j - 1. Calculate the common denominator of (j\/(-2))\/(1 - 14\/4) and -19\/71.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d + d)*(-490*d - 262*d - 61*d).\nAnswer: -2439*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = g + 7, 4*g = -0*g + 4*z + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117611658?\nAnswer: 2, 3, 6533981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**2\/2 + 2*v + 1. Is 9 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.13 - -0.13. What is the biggest value in a, 0.06, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*t + 1062*t**3 - 325*t**3 - 356*t**3 - 315*t**3 in the form c + j*t**3 + d*t + q*t**2 and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -64, 3\/4.\nAnswer: -64, 0, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**4 + 18*u**4 - 1002*u**3 - 17 + 1001*u**3 as s*u + h*u**3 + o*u**4 + q*u**2 + a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 6. Let m = t - 3. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*b**3 + 384*b**3 - 774*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2444 + 372 = -4*r. Let t = r + 1534. Round t to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g - 90 = 27. Let m(y) = -2*y - 7. Give m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8628.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 38*o + 841. What is the remainder when 93 is divided by v(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*s**5 + 18*s**3 + 12*s**2 - 3 wrt s?\nAnswer: -360*s**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1356580 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17013*n**5 - 28*n**2 - 17009*n**5 - 9*n**2 + (-5*n**3 + n**3 + 2*n**3)*(-2*n + 2*n - n**2) + 2*n**5 + 2*n**5 - 2*n**5.\nAnswer: 8*n**5 - 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50143 * 0.19.\nAnswer: 9527.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 6) in base 9?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - o + 3 = 4, -4 = 2*p + 4*o. Suppose p = -d + 4*d. Solve 25 = -5*l - d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*k - 21*k - 3630 = 0. Let c be 4\/18 - (-8906)\/18. What is the highest common factor of c and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604 divided by 33.\nAnswer: -604\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -11. Let n = x + 1. Let p be (-4)\/(-10) - (-6)\/(-40). Which is the smallest value? (a) -1\/9 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 97*c**2 + 17*c - 3. Suppose -6*k = -10*k - 16. Is s(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 - 6. Which is the second smallest value? (a) 2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53485\/6 or 8913?\nAnswer: 8913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57283969.\nAnswer: 109, 525541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 200069202 to the power of 1\/2, to the nearest integer?\nAnswer: 14145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10933 and 42746.\nAnswer: 16115242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -1c94b6?\nAnswer: 1c94bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*i + 3*i - 4*m, 0 = 5*m. What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87655 and 1211131?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000294 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(432) + sqrt(27) - sqrt(27))\/(sqrt(18)\/sqrt(32)).\nAnswer: 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -49*u + 161. Let n(i) = 25*i - 87. What is 4*c(o) + 9*n(o)?\nAnswer: 29*o - 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -2032.\nAnswer: -135\/2032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 37. Calculate z(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.11661 millennia in months?\nAnswer: 1021399.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 44, 65, 56, 11, -76?\n\"Answer: -z**3 - 9*z**2 + 55*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**3 - 4*z. Let x(i) be the second derivative of 3*i**5\/20 + i**3\/2 + 2*i. Let r(m) = -2*o(m) - 3*x(m). Find the second derivative of r(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)**(-7)*(((b\/(b*b**6\/b))\/b)\/b)\/(b**(1\/2)*b) assuming b is positive.\nAnswer: b**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80771*n*r**4 + 2*n*r**2 + 45567*n wrt r?\nAnswer: 323084*n*r**3 + 4*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - -41. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8666 - -8873. Which is greater: 6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 - 40*d. Let o be s(-20). Let r be o - (-3)\/(-2) - 54\/(-12). Solve 0 = -r*c + 5*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14733 + 31902. List the prime factors of x.\nAnswer: 3, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-4)*l)\/l)\/l**(11\/5))\/(l**(1\/4)*l**(-10\/9)))**(-44) assuming l is positive.\nAnswer: l**(8591\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2\/11 (c) -1 (d) -4 (e) -3 (f) -2\/195\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 303*h - 265*h + 63 + 23 - h**2. What is the smallest common multiple of v(40) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 3*v + 3. Let r = -4 + -1. Let f = -5 + r. Let b be (8\/(-10))\/((-4)\/f). Determine q(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -468, -965, -1454, -1929, -2384, -2813, -3210, -3569?\n\"Answer: m**3 - 2*m**2 - 498*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52*(2678\/(-104))\/103?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 6*x - 5*x)*(2*x + 3 - 3 + (-6 + 1 + 3)*(4*x - 3*x - 3*x) + 3*x + 0*x - 4*x + 0*x + 2*x - 3*x + 0 + 0 + x).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 59110144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 + 22*d + 233. Let n(o) = 6*o**2 + 23*o + 234. Let m(a) = -7*h(a) + 6*n(a). Find the first derivative of m(b) wrt b.\nAnswer: 16*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-70))\/(43\/215)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 19*a - 46. Calculate the remainder when u(15) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((r**(-3)\/r*r)\/r)\/r)\/r)\/r)\/r)\/r*(r*r**(1\/12))\/r)\/(r\/(r\/((r**4\/r)\/r)))**(-7\/4) assuming r is positive.\nAnswer: r**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 - 1. Let t = 59.2 - 59. Sort -2\/5, b, t.\nAnswer: -2\/5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 46 = 2*s, -2*s = -0*s + 6. Let d = i - -6. Let c(a) = -a**3 - 25*a**2 + 3*a + 70. Let k be c(-25). Put k, d, -1 in decreasing order.\nAnswer: -1, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -66220 (c) -9 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110) + sqrt(110))\/sqrt(2))\/(sqrt(40)\/(2*sqrt(8))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 8 + 25 + 756*x + 744*x)*(3*x**2 + 2*x**2 - 8*x**2) to the form q*x**3 + n*x**2 + g*x + i and give q.\nAnswer: -4500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/24967983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 - 2b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06579 and -6067?\nAnswer: 6067.06579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 9, u: 4}. Give prob of picking 2 o.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - g**4 + 0*g + 5*g**4 - 14*g**4 + 7*g**4 + (-g**2 - 4*g**2 + g**2)*(3 + 2*g**2 - 3) to the form f*g**2 + i*g + o*g**3 + x*g**4 + n and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4754?\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.083? (a) 0.2 (b) -128 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -28\nAnswer: -9\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-1456)\/(-39)))\/(1\/(21\/(-54)))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**10\/q*q\/(q\/(q\/(q\/(q\/(q**(-1\/22)\/q)))))*(q**(-5\/2))**9)**(-3\/11) assuming q is positive.\nAnswer: q**(345\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k + k - 5*k. What is the remainder when q(6) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 1, b: 1, m: 2, z: 1, x: 1}. What is prob of sequence zb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101420240 (base 5) in base 15?\nAnswer: -84089a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -2*k**4\/9 + 16*k**3\/27 + 11*k**2\/9 + 2*k\/3 + 14. Find s such that g(s) = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6914519.\nAnswer: 31, 223049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*u + 7, 30 = -5*j - 4*u. Which is the second smallest value? (a) -700 (b) 0.2 (c) j (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -389*r**2 + 6*r + 406*r**2 - 5*r. Let v(n) = 3*n. Let z(l) = -7*l. Let x(y) = -5*v(y) - 2*z(y). Give x(j(k)).\nAnswer: -17*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from xixiixxiiixxxxxxxxx.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d + 4. Let z(p) = 4*p**2 - 53*p - 25. Let x(o) = -6*v(o) + z(o). Determine x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let y(n) = 7*n + 1. Let a(b) = 8*b + 1. Let z(h) = 5*a(h) - 6*y(h). What is the units digit of z(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -18) + 2 + -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*v - 5*w, -3*v - 50 + 2 = w. Let o = -11 - v. Suppose -o*m = -9 - 36. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 43*w + 48 = 48*w, -2*z = w - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + (sqrt(1300) - (sqrt(1300) + -2*sqrt(1300))**2)*4 + 1) + 1)*1.\nAnswer: -80*sqrt(13) + 10409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30 and -3178441239.\nAnswer: -3178441209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixi when four letters picked without replacement from {h: 2, i: 10, x: 2}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -669*o**2 + 6*o + 91. Let c(z) = -335*z**2 + 3*z + 42. Determine 13*c(t) - 6*x(t).\nAnswer: -341*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 7. Let s be g(-6). Suppose 8*a + 460 = s*a. Suppose 3*p + 4*w - a = 0, w + 18 = 4*p - 73. What is the highest common factor of 96 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5 - 240*l**4 - 1804*l**3 - 1328*l**2 + 1806*l + 1568 = 0. What is l?\nAnswer: -112, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 76?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-8))\/((-2)\/(-8)). Let t be z\/(-2*(-6)\/8). Let p be -6*(0 - (11 + -6)\/(-55)). Is t at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 322 = -6 + 83. Suppose 3*t = 3 + 12. Suppose -t*w - 5*k + 1 = -4, 5*w - 3*k - 45 = 0. Calculate the least common multiple of j and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17507010 by 145.\nAnswer: -120738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 41*m. Let b(z) be the first derivative of 3*z**2\/2 - 91. Calculate j(b(g)).\nAnswer: 123*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {c: 8, y: 2, g: 9}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*d = 61*d + 716 + 151 + 205 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 3*z - 1. Let g be t(-4). Suppose -2*d = -w + 11, -d + 2*w = 6*w + 19. Let s = d + 7. Solve s = n - 4*n - g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)*(o*o**(-7))\/o)\/(o**(-1\/3)\/o**(-3)) assuming o is positive.\nAnswer: o**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 38. Let f = 2 + 1. Let j(c) = 2*c. Calculate the remainder when i is divided by j(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898 + 3994 + 9954 = 1569*t - 4551 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -423.574841 rounded to 2 decimal places?\nAnswer: -423.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*o - j - 24, 4*j + 37 = -5*o. What is the second smallest value in o, -0.05, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7787 - 3120 + 10328 + 259 + 11001*l with respect to l.\nAnswer: 11001","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 460, -3, -111 in descending order.\nAnswer: 460, 3, 1, 0, -3, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 27. Let i be j(14). Solve -3*v = -13 + i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-88))\/(20\/(-24))*(-12)\/45.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 9. Let a = -597 - -606. Let q(g) = -g - 2. Let f(m) = a*q(m) + 2*r(m). Let p(o) = 0*o + 3*o - 5*o. Determine p(f(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 17*z**2 - 19*z - 19. Let d be u(-18). What is the tens digit of (0 - d) + (-7)\/(14\/(-180))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -2. Let r be 4\/(-20) + (-6)\/(-5). Suppose r = 2*m - m. What is the third biggest value in q, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 30 = -8*f. Suppose -2*c = -f*c + 20. Suppose -u = -c*u + 40. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 894, 1982, 3076, 4170, 5258, 6334, 7392, 8426?\nAnswer: 9430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*v + 5*n, -3*n + 1 = -v + 2*n. Let d(q) = q**2 - 9*q + 3. Let w be d(v). Suppose w*o = -o + 56. 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: What is the highest common factor of 4074 and 476?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1831035*n**2 - 3*n**3 + 1831035*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 7*v + v + 0*v**2 - 2 + 3*v. Let t be l(-2). Let b(p) = -p**3 + p + 33. Does 17 divide b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:48 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -9*m - 6*m - 281 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 59*p + 49. Let g(x) = -29*x - 24. Let i(l) = 7*g(l) + 4*s(l). List the prime factors of i(10).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y**3 - 7*y**2 + 12*y + 7. Let x be u(-7). List the prime factors of (-2 + 3)\/(14\/x)*-2.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**8\/336 + 61*x**6\/120 + 41*x**5\/12 + 117*x**2. Find the third derivative of b(l) wrt l.\nAnswer: -60*l**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -5)\/((-33)\/15 - -2). Does 2 divide (((-32)\/f)\/(-2))\/(2\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 61*g - 50. What is the remainder when 73 is divided by p(29)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -63*h. Let b be (-2)\/5 + (-24)\/(-10). Let u be v(b). List the prime factors of 28\/u - 454\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02451 * -15.1\nAnswer: 0.370101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(28\/(-16)) - -1. What is the biggest value in w, -0.3, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(882)*-2)\/(2*sqrt(576)*1).\nAnswer: 21*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.3873 milligrams to tonnes.\nAnswer: 0.0000000063873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -574 + 230. Let d = 440 + t. What is the remainder when 478 is divided by d?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 9:43 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3)**(5\/18)*s**(3\/7)\/s**(-16))**(-44) assuming s is positive.\nAnswer: s**(-15950\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 15*m - 3. Calculate the remainder when f(1) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -21*t + 11*t + 0 - 3 + 3. Let u(g) = -3*g**2. Determine k(u(l)).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/60 + 323*r**2. Let u(k) = k + 7. Let y be u(-5). Let n(q) = -1 + 14*q**y + 1. Give n(f(i)).\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**45\/c**(-3)*c**(-7\/8)\/c**(6\/19) assuming c is positive.\nAnswer: c**(7115\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938396.\nAnswer: 2, 29, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 11. Let v be i(-5). What is the second derivative of -7*a**4 + a - v*a**4 + 0*a**4 + 2*a**4 wrt a?\nAnswer: -252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a microgram in nanograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 8*z**2 - 9*z + 14. Let g be y(8). Let r = -634 + g. Suppose 3*c - i = r, -430 = -8*c + 4*c - 5*i. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06322 + 20.30428. Let u = 19.9 - w. What is u rounded to 2 dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + 11?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 4)*(5*r**2 + r**2 - 4*r**2) + r**2 - 2*r**2 + 0*r**2 as b*r + d + v*r**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206328?\nAnswer: 2, 3, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.01 (c) 363\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -950 + 1186. Calculate the least common multiple of 8 and m.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**3 - 1281*c**2 - 26520*c - 134100 = 0. Calculate c.\nAnswer: -10, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2706370 divided by -23\nAnswer: -2706370\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2)*d)\/d)\/((d*d**(-2))\/d))\/((d\/((d**(1\/7)*d)\/d*d))\/d*d**(-3)))\/(((d\/d**(-1\/3))\/d)\/d**(2\/13))**(-35) assuming d is positive.\nAnswer: d**(3119\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s**2 - 29*s**2 - 102*s**2.\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 1.7. Let k = -1.3 - q. Sort -4\/5, -0.1, k.\nAnswer: k, -4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12*x - 6. Let w(a) = 6*a + 3. Calculate -2*j(o) - 5*w(o).\nAnswer: -6*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*v + 5. Let h be (24\/(-15))\/((-3)\/(-15)). Let d = h - -12. What is the nearest to 0.2 in v, d, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (-11 - (-11 - -13)) - 31\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaay when four letters picked without replacement from {y: 1, f: 3, u: 5, z: 2, a: 8}.\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12615 - 387?\nAnswer: 12217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 188, 306, 626, 1250, 2280, 3818, 5966, 8826?\n\"Answer: 17*n**3 - n**2 + 2*n + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -661296 (base 10) in base 7?\nAnswer: -5422656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*48\/594)\/(248\/(-36))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 44376*l**2 - 266202*l + 399276 = 0.\nAnswer: 3, 22182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 286603 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -74?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose -m - 9 = -w*k, 6*k - k - 48 = -4*m. What is the remainder when (-1)\/(-12)*4*(35 + 1) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.233 + 1816.233. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 455*u**2 - 258*u**2 + 268*u**2 + (2*u - 2*u - 2*u**2)*(-1 + 4 - 1).\nAnswer: 461*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.012 (b) 4 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(4 - 4 + 1)*(-2*p - 3*p + 4*p) + (-7*p + 12*p + 20*p)*(-5 - 1 - 5).\nAnswer: -274*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*a + 1543 - 3974 = 68*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -51. Suppose -5*d - 8 = -t. Suppose -d*q - 14 = -2*n + 2*q, 0 = q. What is the lowest common multiple of 6 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2693754433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x**4 + 18*x**4 - 16*x**4 - 2*x**4 + 2*x**4 - x**4 + (4 - 4 - 2*x)*(0*x**3 + 3*x**3 - 2*x**3) + x**4 - 2*x**4 - x**4.\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 66*c**2 + 64*c - 65. Give n(32).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-2\/11) assuming t is positive.\nAnswer: t**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3*(-4)\/36 - -4)*3. Suppose -5*m = -4*a - 16, -5*m - 5*a + 12 = -j. Solve 0 = -4*s + m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*53.59.\nAnswer: -160.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, u: 3, v: 1, w: 4, z: 1, q: 2}. Give prob of sequence vqzd.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 9*r**2 + r + 2. Let c be t(9). Let m = c - 4. What is the nearest to -0.1 in -2\/3, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l**3 + 12*l**2 - 2*l + 35. Let n be r(-9). Suppose 812 = -7*g + n. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 97*c - 588. Let a be t(6). Let l = 12 + -8. Suppose l*s = 3 + 1. Put a, s, 4 in increasing order.\nAnswer: a, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01288097 - -0.51288867. Let t = -0.2 + 0.7. Let q = t - w. What is q rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -355904277 divided by 15474099?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 72*q + 75. Let y be h(-1). Solve -3 = -y*v + 3*w, -4*w - 4 = -v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*j, 11*y = 18*y - 7*y + 2*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203213 is divided by 1168?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -56*l**2. Let n(q) = 4*q**2. What is z(n(k))?\nAnswer: -896*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3 (b) -17 (c) -1400\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j*u**4 - 1452*j*u**3 + j*u**2 - 2*j*u - 2*j + u**4 - 5*u**3 + 2699*u**2 - u wrt u.\nAnswer: 24*j*u - 8712*j + 24*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 18. What is the smallest common multiple of j and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-6) + (-8030)\/(-1460)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d = 76*d - 16 - 8 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3437*s. Let l(b) = -4359*b**2. Calculate l(o(q)).\nAnswer: -51492731871*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61813909 to the power of 1\/2, to the nearest integer?\nAnswer: 7862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-19)*i*i**(-22))\/((i**(-7\/3)\/i)\/i**(-20)) assuming i is positive.\nAnswer: i**(-170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**2 - 146918*r**3 + 73449*r**3 + 73459*r**3.\nAnswer: -10*r**3 - 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 35543*u - 35543*u + 302*u**2 as b*u + g*u**2 + k and give g.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 - 21*g**2 + 2*g - 11. Let u(x) = x**3 - 7*x**2 + x - 4. Give -3*o(j) + 8*u(j).\nAnswer: -j**3 + 7*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/(2*(-5)\/150) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 851750*j**3 + 851767*j**3 - 1703505*j**3.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5))**(-1\/7)*(g**(-16))**48 assuming g is positive.\nAnswer: g**(-5372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*i - 18 = 10*u, 4*i = 2*u + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 221291538 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-3)*(-5)\/(-20). Suppose g*n + 0*n - 362 = 0. What are the prime factors of n?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70428757631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7833*x + 7833*x + 3779*x**3 + (4*x - 3*x + 0*x)*(2 - x**2 - 2) to u*x**3 + a*x**2 + q + d*x and give u.\nAnswer: 3778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 923.6628 milligrams?\nAnswer: 923662.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5*((-306)\/((-54)\/6))\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.05, 4, -193?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/80)\/(3\/3*-3). What is the third smallest value in -1\/5, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136\/3 - 45. Let u = -88.3 + 93. Let w = u - 5. What is the smallest value in w, 2, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*p - p**2 + 85*p - 139702 + 139701 + 9*p**3 wrt p.\nAnswer: 54*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**7\/840 - 7*s**4\/24 + s**3\/2 + 2*s. Let a(u) be the second derivative of h(u). Differentiate a(x) with respect to x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 57 (c) -0.4 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b4e7 (base 15) in base 5?\nAnswer: 13430432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 2*l + 1. Let s = -156 - -155. Determine c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 388501092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 - -0.43. What is the second smallest value in -3, y, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -19*t**2 + t + 2. Let s be a(-1). Let d = s + 17. Are 0.09 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45233\/7 + -6462. What is the third biggest value in 5\/6, v, -12, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13301*x**2 - 24 + 24.\nAnswer: 13301*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11190170?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(2\/(2\/2)). Suppose -6 = -p*c - c. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 15*x**2 - 34*x - 31. Give i(-17).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257 is divided by 116?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*-2*sqrt(7) + (sqrt(63)\/sqrt(3))\/sqrt(3)) + 0.\nAnswer: -14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5333 + 321?\nAnswer: 5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8523839 is divided by 2841278.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8319401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/20 + j**4\/12 + j**3\/6 + 7*j - 21. Let m(p) = -8*p**3 - 4*p**2 - 3*p. Calculate 6*l(c) + m(c).\nAnswer: -2*c**3 + 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1832*f = -4012*f + 70128 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1573)*-2*-6)**2 - 6*(1 + sqrt(1872) + 4).\nAnswer: 456*sqrt(13) + 226486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100100 - -10110000100011100?\nAnswer: 10110000000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)*(14\/4 + (-396)\/99)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 9 - 110051*c + 7.\nAnswer: -110051*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 8*u + 272 = 0. Let f = u + -20. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 3*k + 21. Let d be t(5). Solve d = 11*n - 44 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 119*w**4\/12 + w**3\/6 + w**2\/2 - 3*w. Is r(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7477.\nAnswer: 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*1\/(-8))\/(3\/(-4)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-15)*x)\/x*x*x*x\/(x\/x**(-1))*x assuming x is positive.\nAnswer: x**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:54 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 20*b - 22 = -23*b, 4*n + 5*b = 28 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 16 + 10*z**2 + z**3 + 4*z + 9*z - z. Let d be x(-8). Suppose d = 4*v - v. Calculate the remainder when 30 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14086\/3 and 4694 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 3*j)*(6*j + 10 - 10) + (1 - 1 + 13*j - 1)*(2*j - 3*j + 3*j).\nAnswer: 50*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -228.56 (c) 0.144\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183480 + -183525. Let u(v) = -2*v - 1. Let j be u(-1). Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438017 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54513509\/297 + 183547. Calculate the common denominator of 37\/363 and r.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*a = -3*a + 9436, -5*a + 4705 = d. Calculate the highest common divisor of 1435 and d.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 5*o - 19. Suppose 0 = -0*w + 2*w + z - 11, 5*w = z + 10. Let f be t(w). Solve -f*c - 10 = -4*h + 2, -2*c + 3*h = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 - 10 - (1 + -3604). Is (-6)\/21 - z\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 11*q + 6. Let y(g) = g**2 + 12*g + 7. Determine -5*v(k) + 4*y(k).\nAnswer: -k**2 - 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let y(g) = -2196234*g - 1. What is y(q(u))?\nAnswer: 2196234*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*(3 + -5 + sqrt(2)*-2) + -3))**2*4*1.\nAnswer: 800*sqrt(2) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 604, 1, 58, 6.\nAnswer: 1, 6, 58, 604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 12:53 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6458222.\nAnswer: 2, 3229111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/2, 274 in descending order.\nAnswer: 274, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0503 times 13.7?\nAnswer: -0.68911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*i - 35*i - 4. Let q(g) = 9*g**2 - 6*g + 6. Let k(h) = h**2 - h + 1. Calculate i*q(y) + 6*k(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.309 + 1.19. Let b = -0.483 + q. Let f = b - 0.088. Round f to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*p + 34 = 0, -4*q + 2*p = -0*q - 42 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 12, d: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-71 - (-12 + -23))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -8. Let x be 8 - (-3 - (-4)\/s). What is the highest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 237\/(-158)*((-4)\/3)\/1. Solve x*g - 6 = 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -93342838 and -0.047.\nAnswer: -93342838.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.75 or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, u: 2}. Give prob of picking 1 s and 2 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 170.0049. Round r to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2997*g + 656352. What is t(219)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212341 + 4012?\nAnswer: -204325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 2)*(136\/(-51) + 3)\/(14\/(-3))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.11477 rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -418*p - 45. Let f be x(-3). Let g = -649 + f. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3421 + 31*y + 3421 + 10*y)*(3*y + 3*y - 4*y) in the form l*y**2 + v + k*y and give l.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 456, 487, 518, 549, 580?\n\"Answer: 31*v + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdppcpzpnzdpdc. Give prob of sequence ccpn.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:52 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1211*w - 2427. What is q(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.39 or 2\/113?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 745, 1514, 2283, 3052?\nAnswer: 3821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.72 + 0.629. Let k = p + -0.049. What is k rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5)*(-5 - 8 + 19)*(0 - 3 + 2)*(3*o - o - 4*o).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 - 7*k. Let f be c(0). Is f < 1\/1500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -943 (base 11) in base 10?\nAnswer: -1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1287)\/(-2970) + (-1)\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 42897*v - 1 + 85150*v - 42244*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 + -54. Suppose 24*d + 5080000 = c*d. Round d to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949.4773 kilograms to micrograms.\nAnswer: 949477300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -36, -0.28, 1\/4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 24833?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, r: 9, g: 7}. What is prob of sequence gg?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9360*c + 9360*c - 81*c**2.\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-272)\/1599 + -3 + 287\/91. Which is the nearest to -0.1? (a) 0 (b) -0.3 (c) y (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**22*f\/(f*f**(10\/7))*(f*f*f\/((f\/(f\/f**18))\/f))\/f*f*f**24*f*f assuming f is positive.\nAnswer: f**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102255264 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 11. Let q(n) = 2. Let x(w) = -33*q(w) - 6*t(w). Let u(k) = -3*k**2. Determine u(x(p)).\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -629886\nAnswer: 8\/314943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 8 - 12. Let c = -4 + p. Let d = 3.5 + -4. Put c, -0.3, d in increasing order.\nAnswer: d, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98880 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from {c: 2, n: 1, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11193071?\nAnswer: 19, 589109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 6*c**2 - 4*c**3 - 116.\nAnswer: -4*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 0.5 (c) 5 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - k - 6*k + 4*k. Let p(a) = -7*a - 41. Let x be p(-16). Let y = x + -69. Determine h(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:30 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.2, -4, -0.1018, -0.3 in descending order.\nAnswer: -0.1018, -0.2, -0.3, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37784139?\nAnswer: 3, 12594713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165 + -165. Factor x + 42*u - 14 + 14 - 3*u**2.\nAnswer: -3*u*(u - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z - 61*z = -32 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 254752418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-1)**2 + sqrt(1377))*-2 + 5 - (0 + -2 + -2*sqrt(1377)).\nAnswer: -2747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f - 3*f**2 + 2 + 5*f)*(3*f - 4*f + 2*f) + 155*f**3 - 6*f**3 + 90*f**3 in the form b*f + o*f**2 + j + y*f**3 and give y.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4, -38, 276, 58 in ascending order.\nAnswer: -38, -4, 2, 5, 58, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 16970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*q - 2. Let c = 146018 + -146016. Solve -4*r = -c*r - q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.887, 370, -12\/5 in decreasing order.\nAnswer: 370, -1.887, -12\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/20 + (-4)\/10. Let r(d) = 4*d + 3. Let q be (-6)\/(-10) + (-8)\/(-20). Let x(s) = -1. Let p(o) = n*x(o) + q*r(o). Determine p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < -10052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*n**3\/5 - 1101*n**2\/5 + 1392*n\/5 - 279\/5 = 0. What is n?\nAnswer: -93, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 2*u + 6. Let g = 48 + -46. Let q(l) = -5*l**3 - l**2 + 10*l - 31. Let n(c) = g*q(c) + 11*f(c). What is the hundreds digit of n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 21231 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 0.2393007101281.\nAnswer: -0.4393007101281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76087 is divided by 19018?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 794*b + 410. Let z(v) = 5*v - 2. Let j(f) = r(f) + 2*z(f). Differentiate j(a) wrt a.\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 23*t + 22*t - 16*t**3.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1126 * -1.5.\nAnswer: 0.1689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 24611.9\nAnswer: 3199.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 3. Let a = g - -6. Is 4 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/360)\/((14\/20)\/(26\/(-65)))?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -413 and 11.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + g - 4 + (2 - 3 - 2)*(-g + 0 + 0) - 111*g + 221*g - 24*g.\nAnswer: 90*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n - 43*n - 10 = 0. Sort -5, 9, n.\nAnswer: -5, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 - 705*f**2 + 15486*f + 401. What is u(-196)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*j - 8. Solve -4*i = 0, -4*a = -5*i + 2 + j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2) - (4 - 1). Let i be (3 + 6\/(-1))\/g. Is (2\/(-6))\/(i\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21417094?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and 3.\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 52. Let g(s) = 641349*s. Give w(g(a)).\nAnswer: -411328539801*a**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1169\/36 + 129\/4. Let z = 28\/3 - 134\/15. Which is the closest to 0.1? (a) -0.4 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -0.0025?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-14))\/(3\/(-6)). Let c be (-17 + 20)*(-32)\/(-6). Suppose c = 4*d, -2*k = -2*d - 3*d + 22. Is k equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26905, 58400, 89895, 121390, 152885, 184380?\n\"Answer: 31495*q - 4590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 38. Solve 3*r - 4*t = -11, r - 24 = 5*r + c*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 55.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 78724.\nAnswer: 78726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84.9784 - -0.3784. Is b at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 1 - 6 + 20*z - 174*z**2 + 170*z**2. Let a be h(-7). Solve 3*j - a = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260419.3l in millilitres?\nAnswer: 260419300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*b = -434*b - 2809*b - 5480*b + 566440 for b.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9*a**2 + 2*a + 3)*(-3*a - 3*a - 2*a) in the form u + c*a**2 + s*a**3 + l*a and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 43 + 72. Let z(w) = -c - 27*w + 12 + 2*w**2 - 3 - 6. Is 30 a factor of z(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3865602592?\nAnswer: 2, 19, 59, 107761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 4}. Give prob of picking 1 w and 2 m.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -27*h**2 - 14*h + 8. Let j(u) = 9*u**2 + 5*u - 3. Suppose y - 15*p + 19*p + 31 = 0, 0 = 2*y + 4*p + 42. Calculate y*j(v) - 4*l(v).\nAnswer: 9*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 361.2 - 361.1. Which is smaller: b or -0.836?\nAnswer: -0.836","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((1 + -20 - -1) + -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.0732 + 0.1.\nAnswer: 9.1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 + 5*m**2 - 12 + 2*m**4 + (4*m**3 + 2*m**3 + 3*m**3)*(-2 + 2 - m).\nAnswer: -7*m**4 + 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00606883 and 0.366.\nAnswer: 0.37206883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.24 to the nearest integer.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 85\/1496 - (-2)\/(-11). What is the nearest to 0 in b, 6, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.187 + 16.487. Let k = -16 + j. Let r = -0.7 - k. Are 2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - 0) + (9 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12065773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -42. Let i = 24 + x. Let o = i - 31. Calculate the remainder when o is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30b178 (base 14) to base 2\nAnswer: -110010001010110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -10*b - 240. Let m = b + -48. Put 1, 8, m in decreasing order.\nAnswer: 8, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xze when three letters picked without replacement from {u: 1, x: 1, y: 6, z: 1, e: 5}?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 12*h**2 + 8*h + 249. What is i(14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3186004419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-4)*14\/196. Which is the second smallest value? (a) -4 (b) -2\/5 (c) -0.2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/(-2))\/((-2)\/324*2) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48891060*u**2 - 25905870*u wrt u.\nAnswer: 97782120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, x: 1, i: 2, o: 1}. What is prob of sequence ho?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 23483.8 and 0.3.\nAnswer: 23484.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-1)\/(-1) - 2). Let d = 43 + -51. Let x be ((-5)\/60)\/(4\/d). Is h >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**2 + 5*d - 1\/3*d**3 - 1\/24*d**4 + 0. Solve l(v) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 4*v**2 + 3*v**2)*(-2*v**2 + 2*v**2 + v**2)*(-3 + 1 + 5).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 4. Let v(n) = n + 12. Let f be v(-6). Is 23 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 1. Let z(r) = r**2 + 6*r + 1. Let a(c) = 2*l(c) + z(c). Let d be a(6). Suppose 0 + 3 = d*o. What is the least common multiple of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2 - 4. Let t be 4\/((-32)\/(-6) - 4). Suppose -l + b - 5*b = -4, -8 = -2*l + t*b. What is the greatest common divisor of l and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1832 - 1904. What is the third biggest value in a, 3, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*b**3 + 29 - 29)*(-2 + 2*b**2 + 3 + 3 + b).\nAnswer: -198*b**5 - 99*b**4 - 396*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555405.\nAnswer: 3, 5, 61, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*m = 2316 - 776 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170016 is divided by 5886?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h**3 + 33*h**2 - h - 8. Let m(z) = 8*z**3 - 30*z**2 + z + 6. Give 4*m(y) + 3*u(y).\nAnswer: 2*y**3 - 21*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.834 + 0.406. Let h = 10 - k. Let q = h - 0.06. Which is the second biggest value? (a) q (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325 = -64*f - f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 26412 divided by -5\nAnswer: -26412\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - (-4407)\/(-260))\/(1\/15).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -8631*v**5\/20 + 15*v**4\/2 + 5*v**3\/6 + v**2 - 12*v + 201. What is the third derivative of l(u) wrt u?\nAnswer: -51786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (476310\/33)\/((-100)\/(-550)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4366 is divided by 1012?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 454894310 to the power of 1\/2, to the nearest integer?\nAnswer: 21328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -76, 1\/5, 33.\nAnswer: -76, -3, 1\/5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5774443 weeks to seconds.\nAnswer: 349238.31264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 819216?\nAnswer: 819216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1848\/643 and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1\/4, -0.05, 3, -7, -18?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(27\/6))\/(((-35030)\/(-1302))\/113)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*((2*sqrt(11))**2 - sqrt(11))*-3.\nAnswer: -525 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 423*b - 398*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 159187012.8 rounded to the nearest 10000?\nAnswer: 159190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j - 16*j + 9*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o**2\/3 + 22367*o\/3 + 7453.\nAnswer: (o + 1)*(8*o + 22359)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 n when three letters picked without replacement from {h: 1, j: 1, a: 1, c: 1, n: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 396185944 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-4 - (-6 - -4)). Let k = 64 - x. Let i be (-2)\/(-7)*k\/400. Is 2 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Express -5*y**2 + 3*y**2 - 28*y + 18*y in the form d + s*y**2 + t*y and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 7f?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/5)*s\/s**(2\/13))\/(s**(-2\/5))**(9\/8)*(s**(-5)\/s**(-1))\/(s**0*s**(-4)*s) assuming s is positive.\nAnswer: s**(233\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/(3\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/5)\/l)**(3\/2)\/(l\/(l**(1\/5)\/l)*l)**(28\/3))**(38\/7) assuming l is positive.\nAnswer: l**(-14212\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x = -146 - 182. Suppose -8*y = x*y - 128. Solve -y*z - 2 + 26 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306 smaller than 2355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.0162428 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 38*j - 213. Let x be p(7). Solve -4*r - 9 = -8*r - f, 0 = -5*r - x*f + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(((s\/s**(-9\/11))\/s)\/s)*s*s*s**(8\/7) assuming s is positive.\nAnswer: s**(410\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(135\/120)*2\/(40\/(-75))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 53 = -4*h. Let n be (0 - 3) + -3 + 25 + 2. Suppose 3*t - n = 4*r, h = t - r - 4*r. Solve -x = w - 3, t*w - 4*x = x + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 2. Let m(z) = z**3 + 6*z**2 + 4*z + 2. Let x be m(-5). Let c = -4 - -2. Let a be c*(-2 + x\/2). What is w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9425382 to the power of 1\/2, to the nearest integer?\nAnswer: 3070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -197*x - 20. Let u(t) = 1383*t + 133. What is -15*g(c) - 2*u(c)?\nAnswer: 189*c + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 781 and 8378.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26314*r**2 - 13166*r**2 - 1250*r**2 + 6393*r**2)*(-r**3 + 3*r**3 - r**3).\nAnswer: -34337*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -24480 > -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 48*l**2 - 9021*l\/4 + 9409\/2.\nAnswer: -(l - 2)*(l + 97)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (4 - 4) - 16\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 + 3. Let p = 551 + -1065. Let q = -516 - p. Which is the nearest to v? (a) q (b) 2\/3 (c) -9\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -312 - 4*t**3 + 3*t + 312. Let u(f) = -2*f. Calculate u(a(g)).\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 997001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 22 and 22 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(5508\/24) - (-302192)\/14688.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -53\/4, 64308 in decreasing order.\nAnswer: 64308, -5, -53\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5615*s**4 - 3*s**3 + 26341.\nAnswer: -22460*s**3 - 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.29 (b) -4 (c) -3\/11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 1554*z**2 + 866988*z - 5257224.\nAnswer: -3*(z - 854)*(z - 6)*(z + 342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6197 = 43*v + 177. Calculate the highest common divisor of 126 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*6.5\nAnswer: 149.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -61562.\nAnswer: -12\/30781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6522 less than 6521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k - 9. Let h(u) = 13*u - 10. Let w(o) = -6*c(o) + 5*h(o). Let l(s) = -s. Calculate l(w(q)).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkq when three letters picked without replacement from {q: 4, k: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 5 (c) 31\/5 (d) 2482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110110 (base 3) to base 12.\nAnswer: -1563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i**(-1\/4))\/((i*(i*i\/(i*i**(1\/34)\/i*i)*i)\/i)\/i**(-20)) assuming i is positive.\nAnswer: i**(-10441\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*n**3*w**2 + 2*n**3 - 9*n**2*w**2 - 2*n**2 - 3*n*w wrt n.\nAnswer: 786*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45722913.\nAnswer: 3, 41, 251, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -52, -125, 1\/3.\nAnswer: -125, -52, 1\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 115. Let j be g(18). Which is the second smallest value? (a) 0.6 (b) 0.3 (c) -4 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2796 - -8368\/3. Which is the closest to -9? (a) -3\/4 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 - 2*u + 5. Let y = -3589 + 3586. What is v(y)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Suppose 4 = o - 0. What is the third derivative of -b*t**4 - 7*t**2 + o*t**2 + 3*t**4 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*(-7)\/(35\/(-25)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 + 38*l - 44. Determine m(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-4\/9)))\/x*(x\/(x\/x**(-13)*x))\/x)\/(((x*x**2*x)\/x)\/x)**(-40) assuming x is positive.\nAnswer: x**(580\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {c: 7, l: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 12. Suppose -2*l + 3 = 7. Let x = l + 8. Is 6 a factor of n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22462 by 18.\nAnswer: -11231\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(156\/(-13) - -11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**2 + 60*z - 103. Let v be d(-16). What is the greatest common divisor of 1118 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.06 + 0.54. Let n = z - 0.6. Which is the biggest value? (a) n (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 17*p**5\/20 + 7*p**2\/2 + 3*p. Differentiate a(i) with respect to i.\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (105\/(-28))\/(-2*(-2)\/(-32)). Suppose -2*h + 5*g = -j, -3*g - 12 = -h + g. What is the greatest common factor of 160 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b**5\/140 + 3*b**4\/28 + b**3\/7 + 2*b + 6. Find q, given that g(q) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 0*r + 4*r**3 + 9*r**2 + 6*r - 15*r**2. Let s be 1 + (-4)\/6*3. Let y(u) = -u**3 + u**2 - u. Suppose -2*k + 3*k + 6 = 0. Determine k*y(d) + s*n(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2367 is divided by 2356?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4265 and 5118.\nAnswer: 25590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11318 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14716 (base 8) to base 2\nAnswer: 1100111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 6. Suppose 140 = 4*h - 4*z, z + u = -z. Suppose -m - h = -5*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 71 = -365. Suppose 0 = -28*p + 182 + g. Solve -2 = -5*s + 4*j - p, 3*s = 4*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 50. Let k be y(0). Let v = k + -35. Is (-24)\/(-5) + 3\/v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*z + 69. Let x = -2 + z. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 7:58 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3188070 and 810.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) 0 (c) 3\/5 (d) -0.1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5811, -5813, -5815, -5817, -5819?\n\"Answer: -2*f - 5809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 396255*n**4 - 180290*n**2 - 4 wrt n.\nAnswer: 9510120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - i = -155, i = -2*i + 15. What is the first derivative of v**2 - f*v**4 - v**2 + 70*v**4 + 18 wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -9*(18 + -21) - -6 and 2646?\nAnswer: 29106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 7661643928.\nAnswer: -7661643925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -27904.\nAnswer: 85\/27904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.459 and 16.\nAnswer: 7.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h + 6. Let p(r) be the second derivative of r**3\/3 - 2*r - 148. Determine p(y(o)).\nAnswer: -8*o + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(405) - (sqrt(405) - sqrt(405)*-6)) - (-6*(0 + sqrt(272)) - sqrt(272)))**2.\nAnswer: 38813057\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**3 - 7140*x**2 + 1673015*x + 117633750 = 0.\nAnswer: -1625, -57, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44.849 - -4\nAnswer: 48.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 128*j - 104. Let g(b) = 78*b - 69. Determine 8*g(l) - 5*m(l).\nAnswer: -16*l - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16036 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380*x = 3714*x + 21006 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 3*z + 2864. Suppose 0 = -4*f + z - 70. Suppose c - 2*c - 52 = -3*k, -4*c = -8. Calculate the highest common factor of f and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 1. Let f = 28 + -24. Suppose -3 = f*u + 5. What is a(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -4 + -12 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79\/2 of a microgram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821 is divided by 82.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -260260*d**2*f*i**2 + 2*d*f*i + 5*d*i**2 - 3338*d + i**2 wrt d.\nAnswer: -520520*f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2730 (base 9) to base 7\nAnswer: -5661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032 take away 0.2?\nAnswer: -3032.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65.5 - 65. Suppose 0 = -5*h + 4*l + 397, 5*h + 0*l + 5*l = 370. Let z = 229\/3 - h. Which is the third smallest value? (a) z (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 14 + 34 = 0. Let f = 400 - 253. Suppose m*k - k = f. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5112990438.\nAnswer: 2, 3, 2311, 368743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**3 - 6*n**2 + 3*n + 4. Suppose -27*w - 306 + 9 = 0. Let o(i) = -24*i**3 - 17*i**2 + 8*i + 11. What is w*x(y) + 4*o(y)?\nAnswer: -8*y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 34*l = -35. Let c(n) = 3*n**2 - 5*n + 1. Let f(q) = -2*q**2 + 3*q - 1. Let v(k) = l*c(k) - 8*f(k). Give v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 15*j**2 - 42*j**2 - 410*j**2.\nAnswer: j**3 - 437*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 39762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 20 = 4*o, o = -2*g - 6 + 18. Suppose 19 = l - o*q - 3, -3*l - 9 = 3*q. Differentiate 0*p**3 + 0*p**3 + 1 + l*p**3 wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:14 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12911*m - 828 = -12929*m. Solve 37 = -m*g - 331 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {p: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 13*z + 209. Calculate p(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-9))\/((-51)\/(-918)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:03 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-1) + 347 + -429 + 5\/(5\/(-2))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.112 + -2.088. Is -3 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(5) - (0 + sqrt(5))))*-4 - (sqrt(20)\/(2*sqrt(4)) - sqrt(15)\/(sqrt(12)\/sqrt(4))))**2*-4*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 + 892538283\nAnswer: 892538283.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1059*d*i**3 - 52*d*i**2 - 2260*d*i - 37*d + 2*i**4 - 2 wrt i.\nAnswer: 6354*d*i - 104*d + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-14)\/(-294))\/(9\/(-35)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 3 (b) -115 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1068537 minus -221?\nAnswer: -1068316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (141 - 1) + -2*1. Find the common denominator of (-76 + 8)*(-63)\/(-360) and (1 - d\/(-10))\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76396401 to the power of 1\/2, to the nearest integer?\nAnswer: 8741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 12:01 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7386952.2 and 23?\nAnswer: 7386929.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**16*l)\/((l*l**(2\/33))\/l))\/(l\/l**(-5\/6))**(-46) assuming l is positive.\nAnswer: l**(1136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*d**2 - d**2 - d**2)*(1 + 0 + 0) - 1 + 2*d**2 + 1 - 9 + 5*d**2 + 9)*(-12 - 2*d**2 + 12)*(4*d - 2*d + 0*d).\nAnswer: -36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x - 13. What is the remainder when h(10) is divided by 1 - (-7 - -4) - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10223043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**18*(l*l**(8\/5)*l)\/l*l*l*(l*l*l*(l\/(l\/((l*l**(1\/18)\/l)\/l))*l)\/l*l)\/(l\/(l*l**5\/l)))**(6\/11) assuming l is positive.\nAnswer: l**(-481\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.27182 from -0.4.\nAnswer: -0.12818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 1 = -2*k, 0 = 3*j - 4*k + 29 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3404*x**3 - 1062*x**2 + 4*x - 2. Let m(z) = 3416*z**3 - 1061*z**2 + 5*z - 2. Let n(j) = 4*m(j) - 5*q(j). What is the third derivative of n(i) wrt i?\nAnswer: -20136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 16701*j. Let h(f) = -24*f**2. Calculate u(h(i)).\nAnswer: -576*i**4 - 400824*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -3 (b) -5 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/15 (b) -12 (c) 1.9 (d) -3 (e) 7 (f) -5\/6 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - p - 20 = 2*p, 0 = -2*p. Suppose -5*k + 76 = 16. Calculate the smallest common multiple of k and 1\/(4 + (-15)\/n).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11 + 11 + 2*g**2. Let r(m) = 7*m**2 - 9*m. Let b(p) = -3*p**2 + 4*p. Let a(k) = 9*b(k) + 4*r(k). Determine a(y(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(441) - -4*sqrt(441)))\/((sqrt(28) + -5*3*sqrt(28))\/sqrt(7)).\nAnswer: -sqrt(11)\/490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/50*-2)\/(8\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-708)\/60)\/1\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 4*a. Let l(v) = 3483*v**2. Determine t(l(n)).\nAnswer: -12131289*n**4 + 13932*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - a + 29, 0 = 2*y + 5*a - 4 - 6. Let s(x) = 7*x**2 - 2*x - 6. Let c be s(y). Let q = c + -114. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 66870.\nAnswer: 66870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -7*m**5\/10 - 11*m**4\/12 + 40*m**2. Find the second derivative of k(x) wrt x.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-39) - (-132)\/13. Suppose 0 = -7*t + 5*t + i. Calculate the greatest common divisor of t and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 43*f**2 + 83*f + 2. Determine t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q**2 + 23*q**2 + 85*q**2 - 67*q**2 + 0*q**3 + 77*q**2 - 190*q**2 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324140.\nAnswer: 2, 5, 19, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 5 + 5 as t*h + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 3041 = 3041 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*z + 14*z + 103168 = 0. Calculate the remainder when z is divided by 276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 799160061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -630 - -632. Let q = -210 + 204. Which is the closest to 0.1? (a) q (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4780?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*((0 + (sqrt(180) + -2 - sqrt(180))*4)*-2 + -1))**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17859, 71234, 160187, 284712, 444803?\nAnswer: 640454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183552 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(4\/11)*i*i)\/((i**0\/i)\/i))\/((i*i\/i**(-1\/6))\/(i\/i**0))*(i**(-2\/5))**17*(i**(-2))**(-34) assuming i is positive.\nAnswer: i**(22241\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 10*u**6\/3 + 37*u**5\/5 - 682*u**2 + 1050. What is the second derivative of f(l) wrt l?\nAnswer: 400*l**3 + 444*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 8*x**2 + 7*x. Let o be f(-10). Suppose 0*q = -5*q + o. Let u(w) = 50*w + 3510. Calculate the remainder when q is divided by u(-70).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 64265061, 64265066, 64265071?\n\"Answer: 5*z + 64265056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171)*5 - sqrt(171) - sqrt(171) - (sqrt(171) - ((sqrt(171) - sqrt(171)*2) + sqrt(171) + sqrt(171)))*-4)\/(6*(sqrt(81)*2 + sqrt(81))).\nAnswer: -7*sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 268*w + 275*w - 26*w**3 - 543*w - 1 - 3*w**2 in the form u*w + c + d*w**3 + n*w**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 9*y**2 + 5*y + 30. Let s be r(8). Solve -h - 1 = 3, 3*i + s = -3*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 16950875*w + 16950880.\nAnswer: -5*(w - 3390176)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:21 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 13*u - 39. Let f be o(6). Solve -5*y - 30 = 5*t, f*t + 10 = -5*y - 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14241.4 + 14235. Which is the closest to -1\/3? (a) 4 (b) n (c) -18 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c**3 - 329*c**2 + 25*c + 56. Calculate q(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28084\/(-9 - -2))\/(2\/(-4)). Which is greater: g or 8025?\nAnswer: 8025","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 7\/3, -0.4.\nAnswer: -0.4, 0.2, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) -0.1 (c) -2\/7 (d) 255 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952 = -2*h + 958 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 56 = -p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(95) - sqrt(95))*6 + 2*sqrt(95)*1)\/(2*-2*sqrt(180)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.054 and 12.\nAnswer: -0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. What is the common denominator of (14\/(-11))\/(8 - g) and -29\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8 + 24 + a**2 - 8*a + 7*a + 6. Calculate the lowest common multiple of v(0) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -323031*a**2. Let g(t) = -8*t**2. Give g(r(w)).\nAnswer: -834792215688*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338555831 - 8.\nAnswer: -338555839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2855.9 - 2855.950014. Let b = 0.05 + x. Round b to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 395698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 + 5*r - 3. Let i be a(3). Let x(v) = 3*v - 2*v - 4*v**2 + 6*v - 3*v + 1. Let t(d) = 3*d**2 - 2 - 2 + 3 - 3*d. Calculate i*t(q) - 5*x(q).\nAnswer: 2*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*p = 16, 5*m = -3*p + 13 - 33 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -12*a - 1. Give t(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c*s*z**3 - 2051*c*s + 111*c*z**3 - 2*c*z - 2*z**2 wrt z.\nAnswer: 96*c*s*z + 666*c*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(5)*3) + 1)**2.\nAnswer: 2*sqrt(17)\/3 + 26\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 29. Calculate the lowest common multiple of 6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 33*v - 227. Let m be b(-12). Solve 0 = -5*j + 5*l + m, 5*l + 13 = 2*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 4*p + 2. Let w be o(-2). Suppose b - i = -15, -32 = 2*b + w*i + 10. Let s be 420\/(-9)*b\/(-12). What is s rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 11)\/(2\/(-7)). Suppose -u + 9 = -f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119023573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 9) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d**2 + d - 1. Let m(w) = w - 6*w**3 + w**2 + 4*w - 1 - 4*w. Let q(j) = -5*b(j) + m(j). Let i = 4 - -1. Determine q(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxyee. Give prob of sequence qe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -168*j**3. Let k(a) = -84*a**3. Give -5*h(i) + 9*k(i).\nAnswer: 84*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15 - (30\/(-12)*2 - -6). Let s be (27\/(-18))\/(4\/16*-2). Solve 0 = -4*x - s*x - o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.984 from -11722225.\nAnswer: -11722225.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*k = 4, 2*k - 8 = -2. Suppose s*f - 74 = 34. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -42*x**3 - x**2 - 4*x + 5. What is the second derivative of i(z) wrt z?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 9675171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -31\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 12 = 3*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 451679, -4, 2 in descending order.\nAnswer: 451679, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 29. Let w be h(-14). Let l(a) = 9*a + 1. Let t(u) = -2*u. Let v(c) = -2*l(c) - 14*t(c). Let m be v(2). Which is bigger: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42\/5? (a) 156 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/3)\/(13\/(-117)). Suppose -d*y - 17 = -5*w, -4*w - 2*y + 4*y + 14 = 0. Solve -4 = 5*v + 4*m - 29, 2*v = w*m + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -569, -581, -597, -617, -641?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-344)\/(-88))*11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/7)*t)**(17\/4)\/((t\/(t\/(t*t\/((t**5*t)\/t)*t*t)))\/t)**50)**(-17) assuming t is positive.\nAnswer: t**(-51357\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 11 = -23 - 164 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -164 + 142 - (-1 - 14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 5*p + 3. Let h be f(-5). Suppose h*x + 4 = 67. Suppose 168 = 4*z + 144. Calculate the remainder when x is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2 - 17*f**2 - 8*f**2 - 5*f**2. Let v be u(-2). Let l = v + 176. What is the remainder when l is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2320? (a) -0.13 (b) 1 (c) 0.03 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -51 + -8 + 37\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 12:15 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -3 + (2 - 0). Let u be z\/(-12) + (-77)\/(-42). Suppose -u*x - 3*x + 15 = 0. Solve -8*o + x*o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51532 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/367206 and 13\/4764?\nAnswer: 291561564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 583*i**5\/60 - i**4\/8 - i**3\/2 + 5*i**2 - i. Is t(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16590.\nAnswer: 2, 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00069303 to 6 dps.\nAnswer: -0.000693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-491*b**3 - 249*b**3 + 93*b**3)*(-2*b + 5*b - 5*b)*(-4 + 2 + 3)*(-3*b + 0*b - 2*b).\nAnswer: -6470*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48, 249, 620, 1191, 1992, 3053, 4404?\n\"Answer: 5*s**3 + 55*s**2 + s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4304313?\nAnswer: 3, 13, 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 188. Let b = -191.999917 + r. What is b rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226881590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1. Suppose 3*t - o = 109, -2*t - 2*o = -39 - 31. Suppose 34*h = -t*h + 70. Suppose -3*z - 36 = -6*z. Let g(r) = 2*r + 14. Determine h*g(v) + z*d(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.076 (c) -1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u - 5326 + 2692 = -2906 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from irllliddrdddddldld.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206215.\nAnswer: 5, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*o + 7 = -5*z, 6 = -3*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25089700*r**2 - 19880193 with respect to r.\nAnswer: 50179400*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911944037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4776.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*c**3 - a**2*y**2 + 3*a*c**3*y**2 - a*c*y**2 - 2*c**3*y**2 + 3*c**2*y - 3*c*y wrt c?\nAnswer: 12*a**2 + 18*a*y**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69864, -139696, -209530, -279366, -349204, -419044?\n\"Answer: -g**2 - 69829*g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-522) + (-82712752)\/(-116) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 188, 156, 90, -22?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/7, 0.016, 24\/17, 5 in ascending order.\nAnswer: -3\/7, 0.016, 0.4, 24\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + 6*-2*(2 + -6*(sqrt(117) + 6*(sqrt(117) + 0))))**2.\nAnswer: -63504*sqrt(13) + 29720309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-968)\/(-1452))\/(7\/(42\/(-40))).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758 - 758 + 6*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -4b?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + -1. Let g = h - 0. Let f = -3.68 - -3.58. What is the closest to -2\/7 in 0.3, f, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4793282225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70827, -71742, -72657?\nAnswer: -73572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -36*r**2 + 2*r + 2. Let j be n(-1). Let m = 0 - j. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = g - 6, g + i - 89 = -3*g. Suppose 16*a = g*a - 310. Does 62 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60476029.\nAnswer: 827, 73127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 15 = 5*s. Suppose p + p = -f + 3, s*f - 3 = -4*p. Suppose p*i - 206 = -2*t - 20, -3*i = -5*t + 441. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9769779 by -141591.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z. Let f(s) = 17*s - 4916. What is i(f(h))?\nAnswer: 68*h - 19664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c - 2*c**2 + 4*c + c**2 - 2*c**2 - 7*c**2 + (-1 + 2 + 0)*(0 - c**2 + 0) + (-c + 4*c - c)*(-1 + 1 - c).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6030 and -49\/75.\nAnswer: 30150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/10, -1\/17, -25, -6, 1, -10?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1340 + -1336. Solve 0 = g*h - 5*s + 2, 4*s = -2*h + 3*s - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t - 67*t - 115 = -2*u, -2*t - 5*u + 25 = 0. Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Let a = 4.6 - t. Let x be 3 + -6 + (-82)\/(-26). Put a, 1, x in decreasing order.\nAnswer: 1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174381 and 7.2.\nAnswer: 1255543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -216723 divided by -13?\nAnswer: 16671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-7)\/112*28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/204 and -23\/318.\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.662 and 15.3.\nAnswer: 10.1286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 5 + 49 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1542.99992876 - 1543. What is y rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) 6 (c) 0 (d) 89\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 12. Suppose 3*r - z = 4*r. Let d = -423\/56 + 65\/8. What is the closest to 6 in d, -1\/3, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*k + 20104 + 50364 = 0. Is -318 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-8)*2 - (-17355)\/20.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67.068 + -0.068. Let f = r + -54. Let g = f + -8. Which is the closest to 1? (a) -4\/5 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -11?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -38*x + 44*x. What is the remainder when 15 is divided by (1*(0 - 2))\/(3\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 1. Let i(t) = 5*t + 4. Let r(l) = -3*h(l) - i(l). What is r(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0 + 6*a + 0*a**2 - 1\/10*a**5 - 2\/3*a**4 - 4\/3*a**3. Factor h(c).\nAnswer: -2*c*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1833*n + 499*n - 42153 = 145405 - 21986 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13115813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*f + 34 = 0, -c - 2*f - 1 = f. Suppose -56*m - 32*m + 1144 = 0. Solve -20 = c*d - m*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/40 - (-451)\/(-5). Let o be (p\/21 - 4\/(-14)) + 8. Solve h = s - 1 + 5, o*h - 13 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 11*q - 1227. Determine a(30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 - 5 - (-55 + 63).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from ddfiiuudiduuiifw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007640236 rounded to 7 dps?\nAnswer: -0.000764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 2*o - 9*o - 3*o. Let k be x(1). Let s be (-10803)\/12 + (-3)\/k. Round s to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 200*t + 9. Let y(x) = 13199*x + 591. Determine 197*p(r) - 3*y(r).\nAnswer: -197*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068 <= 4064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -10.1. Let i = -14 + q. Let p be (-45 - -34) + (-93)\/(-9). What is the second biggest value in -5, i, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 84*c**3 - 585*c**2 + 84*c + 588.\nAnswer: -3*(c - 1)*(c + 1)*(c + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5909.606 millilitres to litres.\nAnswer: 5.909606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 1535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 6:57 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16464 divided by 56?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-104)\/78)\/((-2)\/336). Let h be 6\/(-4)*(r\/(-24) + 4). Solve h = 2*d + 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-5 - 12)) + -11. Let q(j) be the second derivative of -2\/21*j**7 - 8\/3*j**3 + 4\/5*j**6 + 0*j**2 - 13\/5*j**5 + 0 - 12*j + 4*j**g. Factor q(u).\nAnswer: -4*u*(u - 2)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -14373, 4 in ascending order.\nAnswer: -14373, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 3*z**3 - 2*z**3 - 3*z**3 + 2*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322 and 21116872.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 4:26 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z + 3, -103 = -3*a - z. Let f be a\/8 + (-2)\/8. Let n(k) = -9*k + 1. Let u be n(-1). Solve -f*i = i + u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 31*w**2 - 40*w - 353. Determine m(29).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-10 + 6)) + 50\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56969*k*z**2 - 7*k*z - 15085*k wrt z?\nAnswer: -113938*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/(h\/(h**(-2)*h*h))*(h*h**8)\/h**2)**(-10) assuming h is positive.\nAnswer: h**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 5. Calculate z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 3. Let o be (6\/(-15))\/((-8)\/(-10))*-6. What is t(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/14 + (-7667)\/(-119). Let o = b + -49. Solve 5*p + o = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164660871 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 3*y**2\/2 + y - 27. What is the units digit of x(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**(-1)*f)\/f)\/(f**(-1\/2)\/f))**(-8\/3))**42)**(-22) assuming f is positive.\nAnswer: f**8624","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/44 + 2\/11. Is -0.1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 10:28 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1844964557?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6951 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckkkwkwwkkkkwhkkwkk. What is prob of sequence hckw?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express ((c + 2*c - c)*(8 - 7 + 8) - 3*c + 4*c - 2*c)*(-3 - 1 + 5)*(-9*c + 13*c - 10*c) in the form m*c + i + h*c**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*a. Suppose a = -c + 2*c. Suppose 4*d - d - 33 = c. Calculate the highest common divisor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(153) - (-5*sqrt(272))**2.\nAnswer: -6800 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -1\/48*r**4 - 2*r + 1\/6*r**3 + 2 - 1\/2*r**2. Let p(h) be the first derivative of j(h). Factor p(f).\nAnswer: -(f - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28095914 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1415023 (base 12) to base 3\nAnswer: 21112202200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6760647*s**5 + 3063*s**2 - 5 wrt s.\nAnswer: 405638820*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32223 - 0?\nAnswer: 32223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8842 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.66 and 1.3.\nAnswer: 11.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002108 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 11026?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -617.49.\nAnswer: -308.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238596773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((33\/(-110))\/((-12)\/(-10)))\/((-735)\/21).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006198622612 to four decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 217420415 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 5140 = 96. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95\/112 + -9\/16. What is the smallest value in -3\/2, -4\/7, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/24)\/(1\/8) + 0. What is the nearest to -2 in -3\/5, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320 is divided by 71.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1481*s**2 + 4418*s**2 - 1487*s**2 - 1444*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-39)\/6)\/((-1)\/18). Let t = 2468\/123 + -112\/41. What is the common denominator of (-4)\/18 + 368\/c and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-11))\/(5\/11)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 2*a)*(-3*a + 2*a + 2*a) + 0 + 0 - a**2 + (67*a - 14*a - 34*a)*(a - 2 + 2) + 0*a - 3*a**2 + a**2 + a.\nAnswer: 15*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 29. Let w(g) = 4*g + 5*g + 14 + 15*g + g**3 - 15*g**2 - 36*g. Let m be w(c). Calculate the greatest common factor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/6 + n**3\/2 - 6*n**2. Let d be j(-2). Solve -5*q = 4*u + 40, q - d = 4*u + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8487611?\nAnswer: 11, 521, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-35)*((f**(-5\/4)*f)\/f)\/(f\/((f**(-2\/5)*f)\/f)) assuming f is positive.\nAnswer: f**(647\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17819\/53448 - 1\/17816. Which is the fifth smallest value? (a) -4 (b) 0.4 (c) -10 (d) -0.051 (e) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15309799 + 5963196 = y, 0 = i - 5*y - 7091025. Round i to the nearest 100000.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/8 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:36 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**4\/4 + q**3\/3 + 5*q**2 - 13*q - 7. Is t(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1363, -1220, -1089, -976, -887?\n\"Answer: -l**3 + 150*l - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2. Let i = -5 + 16. Let y(j) = 2*j + 11 - i. Give y(k(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - v = 13, 0*v + 8 = 2*x + v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evyeeyygygmgg. Give prob of sequence vgm.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*v**4 - 3\/2*v**2 + 0*v - 9\/4*v**3.\nAnswer: -3*v**2*(v + 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 divided by 3270?\nAnswer: 305\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**(-5\/7)\/((x**(-1)*x)\/x)**(-34) assuming x is positive.\nAnswer: x**(-481\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 487 in -2\/3, -3\/8, 22, -1\/3, -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v**4 + 25*v**3 + 500*v**2 - 700*v - 240 = 0. What is v?\nAnswer: -4, -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/108)\/(5*-8*(-2)\/48)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 472 + 184. Calculate the remainder when h is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - h**3 + 0*h**3)*(-1 - 4 + 4) - 8*h**3 + 8*h**3 - 6*h**3 + h**3 - 5*h**3 + 3*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(600) + sqrt(264)\/sqrt(396))\/((sqrt(1152) - sqrt(1152)*-2*-4) + -2*(-2*sqrt(1152) + sqrt(1152))).\nAnswer: -151*sqrt(3)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + 4 - (sqrt(14)\/(sqrt(2)*-1))**2) + -4.\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llinyi. Give prob of sequence ly.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40221 + 10?\nAnswer: -40211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -24\/281, -3\/2?\nAnswer: -24\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*u - 20, 10 = 2*b + u - 4*u. Let c be -3*3\/(-5 + b). Find the second derivative of c*y**3 + 1 + 2*y - 2 + 1 wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -15. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -416307 from 0.5.\nAnswer: 416307.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4*p = 10, -2*m - 4*p = -0*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 232951120 divided by 175415?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -71275.6086287 and 0.\nAnswer: -71275.6086287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 317173 divided by -33?\nAnswer: -317173\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j - 6*j + 4*j in the form v*j + t and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1044\/48)\/(6\/64). Suppose 5*l = 6*l - v. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 o when four letters picked without replacement from {o: 7, x: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + p + 12 = -p, -p = 4*f + 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**6\/150 + 4*g**5\/75 - g**4\/10 - 204*g**2 + 3. Solve f(z) = 0 for z.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 755858.1 weeks in nanoseconds?\nAnswer: 457142978880000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (34 + -59) - 162\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12300 = -7560*r + 7970*r for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 5:45 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -640*g**2 + 2649*g + 5. What is k(4)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 7*r**2 + 3*r. Let h(q) = q**3 + 3*q**2 + 2*q. Let k be 24\/(14 - 8) - 2. Determine k*v(m) - 5*h(m).\nAnswer: -m**3 - m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 95*i**8\/28 + 17*i**4\/4 - 54*i + 179. Let h(f) be the first derivative of z(f). Find the third derivative of h(o) wrt o.\nAnswer: 22800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*q**4 + 586362*q**3*w - 66*q**2*w + 9*q*w - 221*q - 2*w wrt q?\nAnswer: -552*q + 3518172*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-483)\/(-69) + 165\/(-21) + (-2)\/(-7)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652 is divided by 352?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -17\/65674142 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*g + 29. Which is smaller: -4\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -47. Suppose -s = -0*s + 2. Let y be (s - r) + -1 - 1. Solve -y = 3*x + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(119) + sqrt(119))\/(sqrt(252)*-1 + sqrt(252) + sqrt(252)) - (sqrt(612) + (sqrt(612) - (sqrt(612) + (-1*(sqrt(612)*2 + sqrt(612)))**2)) + -5).\nAnswer: -13*sqrt(17)\/2 + 5513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*o = -4, 0*s + 5*s = 4*o + 18. Suppose -6*d + 168 = s*d. Let m = 77 - 35. Calculate the greatest common divisor of d and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2660 or -2656?\nAnswer: -2660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1054*450190\nAnswer: -474500260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 46*m = -4. Let n(y) = 1. Let s(t) = 2*t + 4. Calculate m*s(k) - 4*n(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292 + -293. Which is the nearest to 1\/3? (a) n (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*-1)\/((-27)\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n, 2*c - 6 = -4*n + 2*n. Let b be (-2)\/(-6)*c*6. Let k be ((-3)\/2)\/3 + 0. What is the biggest value in k, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-3))\/(10439122\/347973 + -30) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -796.2 * 0.2\nAnswer: -159.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093432987.\nAnswer: 3121, 350347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 0, k + 2*c = 9 + 8. Calculate the smallest common multiple of k and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 7*u**2 - 8*u - 9. Let f(o) = -o**2 + 7*o - 7. Let q be f(4). Suppose q*m = -42 + 12. Calculate p(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 60*o + 6824. What is a(-111)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -86, -6073, -4, -5, 3 in decreasing order.\nAnswer: 4, 3, 0, -4, -5, -86, -6073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 29. Which is the smallest value? (a) 0.3 (b) -2\/3 (c) i (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04475998566 rounded to six dps?\nAnswer: -0.04476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 64\/5 + 1900\/3*h**4 - 1952\/15*h + 1504\/3*h**2 - 880*h**3 - 250\/3*h**5 = 0.\nAnswer: 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12506, 12502, 12488, 12458, 12406, 12326, 12212?\nAnswer: 12058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -83 and 0.9.\nAnswer: -82.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x + 13 = 5*i, -11 = -3*x + i. Suppose 16 = 5*s - x. Let m = 23 - 15. What is the highest common factor of m and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 400*h\/7 + 20000\/7.\nAnswer: 2*(h - 100)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 167540814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 14, -4, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586453231.\nAnswer: 7, 13, 6444541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**5\/2 + 13*r**4\/6 + 2*r**3 - 3*r - 4. Let q(l) be the first derivative of b(l). Let q(i) = 0. What is i?\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 1299959460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 295 - 6311?\nAnswer: -6027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -4 + 3\/10*o**5 + 0*o**2 + 1\/3*o**3 + 0*o - 5\/8*o**4. Solve m(w) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**(-19)\/(k*k**(-3\/4)*k**(-7)\/k))\/((k\/(k*k*(k**(-8)\/k)\/k))\/k*k*k**(-6)*k*(k\/k**(-4)*k)\/k*k*k*(k\/k**(-3))\/k) assuming k is positive.\nAnswer: k**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 12 - -2) + (-10 - (-3 - 47)) + -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r - n + 12 = 0, 0 = n + 4. Let k(o) = o**2 + 3*o + 4. Let u(t) = -t - 1. What is r*u(j) - k(j)?\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2455840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -8*r. Suppose 0 = 2*m + 5*t - 34, -5*m + 35 + 4 = t. Solve r*z - 1 = z + 2*p, 3*z + 2*p = -m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -61. Suppose 7*y - 2*y - 85 = 0. Solve -o = -s - r*s - y, -o - s = 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -73 - (-14 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/281 - 1154\/1405. Which is the biggest value? (a) o (b) 1\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -2333300?\nAnswer: -2333300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 68370.35um in centimeters?\nAnswer: 6.837035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15644256996470 minus -1?\nAnswer: -15644256996469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 14*o - 21. Let p be y(10). Let k be 56\/6 - 13\/p. Solve k = -4*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 662 - 2*u - 662. Let f(d) = -7*d - 16*d + 6*d. Let l(y) = 9*y. Let b(i) = 6*f(i) + 11*l(i). What is b(x(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219085*f + 219089*f - 438179*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2.89, 2\/9, -864?\nAnswer: 2.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 272.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*k**2 - 15*k**2 + 71*k**2 + 2*k**3 - 2*k**2.\nAnswer: 2*k**3 + 157*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -5, -13?\n\"Answer: -8*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*c**2 - 32*c**2 + 29358*c**3 - 29076*c**3 + 10436 wrt c?\nAnswer: 846*c**2 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 13 + 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 8*i**2 - 414*i + 10*i**2 + 414*i - 30*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/8 (b) -3 (c) 4 (d) 5 (e) -35\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 6*z**2 - 4*z - 7. Let b be n(5). Let o be 5\/(-15)*(-4 + b). Let r(y) = 9*y - 7*y + 3 + 0*y**o - y**2. Calculate r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -37 - 348. Let a = s - 111. What is the remainder when (-4)\/1 + 2 - a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 30.31722 weeks?\nAnswer: 18335854656000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28146 + 56158. List the prime factors of q.\nAnswer: 2, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 - 6.24. Let q = 6.6801 - -0.3199. Let i = q + n. Which is the third smallest value? (a) -4 (b) i (c) 2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.58*-0.4.\nAnswer: -0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -234113 (base 5) in base 11?\nAnswer: -6561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 164, 0, 42, 3, 2, 4 in descending order.\nAnswer: 164, 42, 6, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 3. Let b be c(3). Suppose b = d - 3*d. Suppose 2*p - 5*n + 1 = d, 2*p = -2*p - 5*n + 43. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*u + 960*c = 955*c - 246, -5*c + 27 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 697942506 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 7*n = -36. Suppose j - n*y - 1667 = -4*j, 0 = 5*j + 3*y - 1643. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 4. Let q(t) = t**2 - t - 54. Let n be q(-12). Find the third derivative of n*l**4 - 102*l**4 - 23*l**5 - 26*l**2 + x*l**2 wrt l.\nAnswer: -1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.255 and -27312857974?\nAnswer: 27312857973.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 83. Let p = 38 + w. Let z(y) = -y**2 - 4 + p - 2*y + 1. Determine z(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -11. Suppose -4*y + 2*r + 16 = -0*y, -2*r + 26 = l*y. Which is smaller: 5 or y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-3 + (-1 - 1 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5159839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 914442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i - 231. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/2 + 774*k**3 + 157209*k**2\/2 = 0. What is k?\nAnswer: -377, -139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -121, -3\/4, 0, -2\/5?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 at most -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/15 + 30\/(-18). Let l = 0 - 0. Let y = 1 - l. What is the highest common factor of y and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -33, -32, 17 in descending order.\nAnswer: 17, -14, -32, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + 11. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (141\/(-18))\/(-1) + 408\/612. Let l(g) be the second derivative of 22\/3*g**3 + 27*g + 0 + k*g**2. Differentiate l(u) wrt u.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008681467 to 5 decimal places.\nAnswer: -0.00868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.55 + 5.15. Sort s, -6, 16 in decreasing order.\nAnswer: 16, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-12))\/((-3)\/((-18)\/(-14))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-232)\/(-48))\/29 + 190\/12. Suppose 27*z = 31*z - q. Suppose 3\/5*n**5 + 6\/5*n**z + 6\/5 - 6\/5*n**3 - 12\/5*n**2 + 3\/5*n = 0. Calculate n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -24*b - 1. Let z = 8 - 5. Suppose z = -8*a - 5. Determine v(a).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 443, -2, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**26\/y)\/y)\/y*y*y*y\/(y*y*y\/((y\/y**41)\/y))*y*y\/(y*(y\/(y*y\/((y*y**38)\/y*y)))\/y)*y**(-6\/11))**14 assuming y is positive.\nAnswer: y**(-8400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 2*f + 2. Let b be g(-2). List the prime factors of (-1928)\/b - (-54)\/270.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.529026 centuries to millennia.\nAnswer: 0.6529026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9852590 and 220?\nAnswer: 19705180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 10*n**2 + 6*n - 8. Calculate c(-10).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/2050)\/((0 + (-1)\/5)*22\/11)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/v)**(-3\/7) assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25362 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**44\/(w*w\/w**2)**(-16\/5) assuming w is positive.\nAnswer: w**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 3*y**3 + (-2 + 2*y + 2)*(-2*y + 3*y**2 + 2*y))*(2*y + y - 5*y).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359b (base 13) in base 5?\nAnswer: 10440442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 61*t**2 + 4395*t + 213. Calculate h(-72).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41080 is divided by 2637?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1609.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ppapppaapaappppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 4) in base 7?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 544*h - 599. What is a(1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44065 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 0.002640305207.\nAnswer: 1.002640305207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57236498747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2351*p**3 + 4620*p**3 - 2266*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -432140 rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1539037 rounded to 3 dps?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*s = -s - 39, -4*s = 5*n - 19. Factor 17 - 7*p**3 - 6*p - 18*p**2 + n - 6*p - 3*p**4 + 22*p**3.\nAnswer: -3*(p - 2)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*g = 0, 4*v - g + 4*g = 28. Let l(c) = -c**2 - 14*c - 19. Let x be l(-12). Suppose -349 = -x*h + 3*w, 2*h - v*h - 2*w = -146. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*y + 3*y - 76, 5*y = -w - 42. Let c be (-7 + 8)\/((-206)\/68 - -3). Let i = c - w. Solve -i*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*i**3 + 5191*i**2*s - 1557*i*s + 37*i - s + 3 wrt i?\nAnswer: -342*i + 10382*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**3 + 13*v**2 + 28*v + 56. Let x(f) = -9*f**3 - 12*f**2 - 26*f - 48. Give -6*b(s) - 7*x(s).\nAnswer: 3*s**3 + 6*s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -142.3, -7\/2, -4, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1000010101010 (base 2) to base 3\nAnswer: -12212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -272*i + 27. Let q(x) = -1360*x + 147. Calculate 11*m(f) - 2*q(f).\nAnswer: -272*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, r: 4, d: 7}. What is prob of sequence rfdd?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*z + 623 = 0, -p - 3*z - 317 = -3*p. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33321 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 106*(-4)\/8. Suppose -9*h + 7*h + o = 0. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1811\/71 or 25?\nAnswer: 1811\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 758 + -283. Let s = j + -472. Solve 0 = 5*b + f + 5, -2*b = 2*f - s*f + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 40.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12 - -10) + 1 + -2. Let d be (-2 - r)\/(1\/8). Find the common denominator of 8 and -1 + 196\/d + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11806*i**3*m - 792*i**3 - i - 2 wrt m?\nAnswer: 11806*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138862213?\nAnswer: 7, 19837459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 79 = -479. What is the remainder when w is divided by (-19 - (-19 - -3))*7\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s - 38. Give m(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 795955.2 litres?\nAnswer: 795955200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, l: 1, r: 1, n: 9}. Give prob of picking 4 n.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1050620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3776572, 7553148, 11329724, 15106300, 18882876, 22659452?\nAnswer: 26436028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 29*t = 0. Suppose 11*z + 18 + 26 = t. Let j = 0.1 - 0. What is the nearest to j in -1\/3, -5, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -339025 (base 16) to base 13\nAnswer: -914164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p. Let q(n) be the second derivative of 5*n**4\/6 + n. Calculate g(q(a)).\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-27)*(11 + 1). Let u(o) = 7*o - 4. What are the prime factors of u(k)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(21\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 4 = -3*d. Let l = -2 - -3. Let f be d\/((3\/(-12))\/l). Which is bigger: 3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7672 and 4110.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43223292968545 + 0.6.\nAnswer: -43223292968544.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9467975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4767372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*r**3 + 10*r + 10*r + 125*r**3.\nAnswer: 38*r**3 + 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/250, -1, 1?\nAnswer: -7\/250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -527*v**3 - 19*v - 335*v**3 + 878*v**3 - 1 to j + s*v**3 + u*v**2 + q*v and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3120 a factor of 48204000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 328 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 5. Suppose -5*l + i + 0 = 0. Let s be l*(4 + (1 - 4)). Solve 0 = s*o, 5*p + 0 = 4*o + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - b)*(1 + 0 - 2) + 3*b + 3*b - 2*b + 352 + 220 + 2*b + 249.\nAnswer: 7*b + 821","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49222623?\nAnswer: 3, 277, 59233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - s**2)*(37*s + 29*s + 33*s).\nAnswer: -99*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 0*g + 11 + 2\/3*g**3 + 0*g**2. Let c(u) be the second derivative of -u**3\/6 - 9*u. What is h(c(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*t - 3*n, 12 = 4*n - 7*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 197 - 347*r - 96 - 100 to j + a*r and give a.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 + 4.7. What is the third biggest value in 4\/5, 0.3, w, 5\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 9:52 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2913*f - 725327. What is m(249)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*m - 50*j*m + 2572*m + 2 with respect to j.\nAnswer: -2*j*m - 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -10*o - 31. Let r be h(-22). Let b = 192 - r. Solve -s + 2*s = -k - b, -3*s = -3*k + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -39*r + 40*r + 5, -j - 1 = 2*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12372*y + 6214*y + 6159*y - 35*y**3 + 1 + 2*y**4 - 4*y**2 in the form n*y**4 + u*y**3 + z*y**2 + a + j*y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 19 = -13*t + 2*p, -2*p + 4 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(98) + 0 + sqrt(98) + -4 + sqrt(98) + 3*(sqrt(98) + -1) - ((sqrt(98) + 0 + sqrt(98) - sqrt(98)) + 0 - (-4 + -2*sqrt(98)))) + 0))**2.\nAnswer: -462*sqrt(2) + 1003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {t: 1, d: 2, i: 3, z: 1, j: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxcjxjcjcx. What is prob of sequence xcxx?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378019?\nAnswer: 378019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*j**2*p*t**2 + j**2*t**3 - 1061*j**2*t + 16*p*t**3 wrt p?\nAnswer: 55*j**2*t**2 + 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -7 - 14 - -2) + 12 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233 + 225. Is 4 - 111368\/y - 4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/570 > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 4*s - 8. Let q be m(6). Let o be (-1)\/(7 + (-176)\/24). Solve f - 9 = -o*f + 3*z, -f = -q*z + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 13*b**2 + 11*b + 2. Let j be w(12). Suppose 2*r = -i + 15, r - 5 = 4*i - 4*r. Sort 1, i, 4, j in descending order.\nAnswer: i, 4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 138, 235, 300, 333, 334?\n\"Answer: -16*s**2 + 145*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**4 - 3353*t**2 + 100*t + 1278710.\nAnswer: 4*t**3 - 6706*t + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3146 - 3149. Let z(t) = -2*t**2 - 3*t + 2 - t**2 - t**2. Let h(o) = 11*o**2 + 8*o - 5. Give s*h(p) - 8*z(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 9*r**2 + 22*r + 1. Suppose -2*x + 2*h + 30 = 0, x + 0*h - 4*h - 27 = 0. Let f be j(x). Let l = 27\/68 - -6\/17. Is l at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 239476643 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -3*k**3\/2 - 24*k**2 + 2*k + 2659. What is m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11202 and 13576824?\nAnswer: 13576824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 28*s**2 - s - 1. Let u be h(-1). Let l = -5000 - -4977. Let q = u + l. Which is greater: q or 19\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - (-1 + -1)) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.72284 and 11.\nAnswer: 7.95124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m - 6. Let s(w) = -7*w + 5. Let i(g) = -4*s(g) - 3*z(g). Let v be i(2). Suppose -h = -v - 0. Solve -4*b + 3*f - h*f + 2 = 0, -2*b = -2*f - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 (base 14) in base 4?\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 124954454791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 10, j: 6}. Give prob of sequence jj.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/623? (a) -1\/2 (b) 0.1 (c) 0.101 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-8) - 4)*-2. Suppose 5*q - 2*l = 233, -q = -5*l - 17 - 48. Suppose 5*s = -5*o + 45, 9*o - 4*o - s - q = 0. Solve -2*j = -i*j - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 608103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 0*b + 3*b)*(2*b**3 + 2*b**3 + 2*b**3)*(-4*b - 2*b + 4*b).\nAnswer: -84*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 25*h - 169. Give b(32).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 - 153*n - 318 = 0. What is n?\nAnswer: -2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55989419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-1)*(-1)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 25646541035151?\nAnswer: -25646541035151.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -74*y. Let q(n) = -7*n**2 + 29*n - 3. Let i be q(4). What is a(i)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 441*p - 792. Let x(r) = -9*r + 16. Let h(f) = -12*j(f) - 594*x(f). Let t(i) be the third derivative of -i**4\/12 + i**2. Give h(t(u)).\nAnswer: -108*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wntwntjtseswnewtnjje. What is prob of picking 1 e and 1 w?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (12 + 1 + -17 + 7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207286 and 10.\nAnswer: 1036430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1123*y**3 + 1126*y**3 - 2 - 22*y - 4*y**4 - 7*y + y**2 - 2247*y**3 in the form a*y**2 + r + f*y + u*y**3 + c*y**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 559*m**2 + 441*m + 45095. Calculate c(-280).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-170)\/(-6) - (-4)\/6. Suppose -354*g + 350*g + 172 = 0. Let s = g - b. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4254540 (base 6) to base 16.\nAnswer: -3333c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -550233452 + -1?\nAnswer: -550233453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2256*t - 1256513. What is p(-557)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {m: 2, p: 2, j: 8, e: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 21. Let a be 1\/(-3*(-3)\/18). Suppose -4*g + 50 = 5*p + 13, 2*p = a*g - b. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 11719150.\nAnswer: -1\/5859575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*k**2 - 183*k**2 + 76*k**2.\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5*f**2 - 2*f - 7. Suppose -7*i + 5*i + 12 = 0. Let v be q(i). Round v to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 5*q**2 - 4*q**2)*(2*q**2 - q**2 - 2*q**2)*(2*q + q - 4*q)*(0 - 3 + 4).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + j. Let u(t) = -t**2 - 5*t - 5. Let i(q) = 2*p(q) - u(q). Let g = 0 - -6. What is the units digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 71913150 to the nearest 1000000.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35853 is divided by 3981?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1130 and 20114?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 234*r - 7. Let g be o(3). Suppose 4*v - g = -v. List the prime factors of v.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 37. Suppose x - 5*s + 2*s - 9 = 0, -2*x = -l*s - 15. Suppose x*w - 4601 = 1201. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5390?\nAnswer: -2\/2695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1135653410 to the nearest integer?\nAnswer: 33699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002185193 rounded to 7 dps?\nAnswer: 0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005552539 to 7 dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 20 = -n, 5 = n + 3*d - 7*d. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9503, -19003, -28503, -38003?\n\"Answer: -9500*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - x**2 + x**2 + 3*x**2 + 0*x**2 + 2*x**2 + 6*x - 6*x - 42*x**2 + (-2 + x + 2)*(-x + 2 - 2) - 2*x**2 + x**2 - x**2.\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -2 - (-4 - (-27 + 4 - -36))) + 3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73 and 8478804?\nAnswer: 8478804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**5 + 454*w**3 - 10*w**2 - 788657*w wrt w.\nAnswer: -260*w**3 + 2724*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c - 191*c = -729 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201237 is divided by 11488.\nAnswer: 5941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 0. Let b = 72.056959 - 65.05696. Let a = l - b. What is a rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156765 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + -1) - (3 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355089 and 22533.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5334497879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1664770800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4 and 335\/476 + 108\/(-189)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 - 146259*s**2 + 438756*s - 292500 = 0. Calculate s.\nAnswer: 1, 2, 48750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 10:30 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from rrrhrhhruururh?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2860 + 10954 - 5192)*(m - m**4 - m) to the form h*m**3 + o*m**2 + f*m**4 + y*m + t and give f.\nAnswer: -2902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 257050409 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003623 rounded to five dps?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/24 + 6*u**2 + 9. Let y(d) be the second derivative of j(d). Let n(t) = 2*t**2 - 4*t**2 + 0*t**2. What is y(n(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (-2 + sqrt(891)*-1 - (-4 + sqrt(891)*2 + sqrt(891) + sqrt(891)))*6)**2*3*-4.\nAnswer: -181440*sqrt(11) + 19250304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 805 + 436. Let f = v + -636. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -415402?\nAnswer: 415423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwkwkkwwwwww. What is prob of sequence wkkw?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 2\/3, -5, -35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -424693, -424853, -425119, -425491, -425969, -426553?\n\"Answer: -53*p**2 - p - 424639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3 - p + 0*p - 3. Let n(d) = -d + 1. Let q(l) = -12*l + 18. Let f(c) = 36*n(c) - 2*q(c). Give a(f(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8065620*c. Let v(a) = -9*a**2. Determine n(v(u)).\nAnswer: -72590580*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-630)\/8)\/(-5) + 1\/4. Solve 4*x - g + 0*g = k, 0 = 3*g + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/150)\/(6\/(-10) + 1). Let h(l) be the first derivative of -1\/5*l + 8 + 3\/25*l**5 - s*l**2 + 1\/30*l**6 - 2\/15*l**3 + 1\/10*l**4. Factor h(y).\nAnswer: (y - 1)*(y + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -13, -44, -127, -280, -521, -868?\n\"Answer: -3*c**3 + c**2 + 21*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143875, 288121, 432367, 576613, 720859, 865105?\nAnswer: 1009351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 77*g - 411. Let s be u(82). Which is the second biggest value? (a) 0 (b) -1\/5 (c) s (d) 3 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.97 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 454 = -4*c, 8*c - 3 = 5*c. Suppose 13*h + 17 = b. What is the greatest common divisor of 496 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 171*s + 9. What is the tens digit of a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3*x**2 + u**3*x - 142*u**2*x**2 wrt u.\nAnswer: 6*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 193906080 divided by -6408?\nAnswer: -30260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 716874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 10:38 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**4\/12 + 3*k**2. Let r(h) = -3*h. Give t(r(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4299 + 4310. Solve -3*q + 16 = -5*j, s*q = -2*j + 9*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -489058*r**3*w**2 + 16320500*r**3 - 45*r**2*w**3 wrt w.\nAnswer: -978116*r**3*w - 135*r**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1331 + 1617. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - j**2 - 6*j + 7. What are the prime factors of o(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34914 < 37230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 + (-832648)\/(-87). Let x = u + -5477. Let r = x + -2227. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 3\/5 (b) -1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 2*y**3 - 4*y**3)*(3*y**2 + y**2 - 15*y**2) + 2*y**5 - 2*y + 2*y - y**5 - 3*y**5 - 4*y**5 - 4*y**5 + 2*y**5 - 6*y**5.\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2684, 2596, 2448, 2240, 1972, 1644, 1256?\n\"Answer: -30*v**2 + 2*v + 2712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(12) + -5)*4 - (sqrt(14)\/sqrt(252) + -4 + 2))**2.\nAnswer: -426*sqrt(2) + 10873\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t = 28*t + 29680. What are the prime factors of t?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/n*((n\/((n\/n**(-3)*n)\/n))\/n)\/n)**(-29) assuming n is positive.\nAnswer: n**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16708 - 8709. What are the prime factors of j?\nAnswer: 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0 = -5. Solve 1 + 2 = t*h + k, 0 = -h + 5*k + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**5 + 5*a**5 - 4*a**5 + (-125*a + 99*a + 61*a)*(-a**4 + 4*a**4 - a**4) + 75 + a**5 - 73 + 0*a**5.\nAnswer: 70*a**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 66*a**2 - 477*a + 745. Give b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 97589124 a multiple of 3356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206548 + 240896 = 108*x. What are the prime factors of x?\nAnswer: 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526587593 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.03 + -16. Let v = g + -1.53. Which is the nearest to -2? (a) 2\/7 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 47*q**2 + 16*q + 33. Let j be k(3). Calculate the highest common divisor of j and 952.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, -352, -1488, -3290, -5770, -8940, -12812?\nAnswer: -17398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*3359213\nAnswer: -6718426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20963\/5 - 4191. Let b(m) be the first derivative of 2 + v*m - 2\/15*m**3 + 0*m**2. Factor b(l).\nAnswer: -2*(l - 2)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjvn when four letters picked without replacement from {z: 8, j: 3, b: 2, v: 1, c: 1, n: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, j: 1, k: 4, w: 1, d: 3, v: 1}. What is prob of picking 2 d?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11)*1 + -4 + (sqrt(396) - (-1 + sqrt(396)))))**2.\nAnswer: -24*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 - 329*b**2\/6 - 7513*b\/2 + 7623\/2.\nAnswer: -(b - 1)*(b + 99)*(b + 231)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4*r**2 + 0*r**2)*(10 - 10 - r**3 - r**2).\nAnswer: -2*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 9*i + 2841 = 0. Suppose 0 = 4*b + i - 979. Calculate the greatest common factor of 40 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 1 - 13*r + 9*r + r + 0*r - 6*r + 2*r + 4*r - 4*r + (-4 - 3 + 5)*(0*r + 0*r - r))*(0 + 1 + 0).\nAnswer: -11*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6 + 194*o - 3 - 197*o. Let z be (-1 + -2)*2\/(-3). Give l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/12 + 9*l**3\/2 + 18*l**2. Calculate the remainder when 87 is divided by i(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187.9952382 microseconds to weeks.\nAnswer: 0.0000000003108386875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 34 - 114 = 0. Let u = 18492 + -18492. Suppose u = p*c - 3*c - 2639. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 + -1.2. Let q = -0.342 - -0.042. Sort -4\/7, a, q in ascending order.\nAnswer: -4\/7, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10604790 by 3.\nAnswer: -3534930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 667*m - 1812. List the prime factors of f(26).\nAnswer: 2, 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101110000111001001100 (base 2) to base 10\nAnswer: -11996748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8598.\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**6 - 6*y**4 + 9*y**3 - 4*y**2 + 48?\nAnswer: 360*y**3 - 144*y + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. What is t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*n + 12499 + 117316. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l - 10*l - 2*l. Let y(c) = 2*c**2 + 0*c**2 - 8*c**2. Determine y(f(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (35 + -26 - 32) + (9 - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a + 77. Let r be k(24). Find the common denominator of -91\/38 and -5 - ((-23)\/(-4) + r).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12.8 and 3.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -453240583 and -1.\nAnswer: 453240583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2 + 6. Let q(l) = -22*l - 1. Is 16 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -129, 0.2, -17630, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(7\/2)*-4. Let p = k - -7. Sort p, 5, 3 in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235580107831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -62127 (base 9) in base 3?\nAnswer: -2002010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -42543?\nAnswer: -42552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 505485038 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by -4\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11717 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190288 is divided by 3553?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - -88?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 18, q: 2}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 11 = -35. Let u(i) = i**2 - 2*i - 18. Let f be u(5). Let w be 6\/9*f - 18\/(-3). Solve w*x - 8*x = -y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {r: 3, k: 1, s: 3, h: 3, g: 3, x: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 73. Let z be n(0). Let c = z + 43. What is the common denominator of c and 2\/(((-8)\/14)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 15. Let j be x + 1 - (0 - 0). Suppose -237 = -j*g + 3*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/4 (b) 0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*q**2 - 72*q**2 + 35343*q**3 - 34555*q**3.\nAnswer: 788*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 6*m**4 - 92*m**3 + 462*m**2 - 792*m + 216 = 0.\nAnswer: 1\/3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2 - (-6)\/(-4). Suppose 0 = 16*w + 602 - 650. Factor -p + x*p**4 + 5\/2*p**2 + 0 - 2*p**w.\nAnswer: p*(p - 2)*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.2, -18.9, -36, 3\/7 in descending order.\nAnswer: 3\/7, -0.09, -0.2, -18.9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1294 - 144*y - 44433 + 135*y.\nAnswer: -9*y - 45727","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -353\nAnswer: -4\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 546 + -132. Let y be (-2)\/9 - (-230)\/s. Factor -y*i**2 + 1\/3 + 0*i.\nAnswer: -(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8961813 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t\/(t\/t**(-2)))\/t*t)\/t)\/t**(-5\/4))\/(t**(-3)*t**(-1\/2)*t)*(t**(-1\/2)\/(t*t**(-1\/6)))\/(t\/(t*t**0*t))**27 assuming t is positive.\nAnswer: t**(341\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.606574 to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 18)*(0 - 2*j + 0).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(27\/(-6))*(-12)\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.096, 3, 1\/2, 11, 9 in descending order.\nAnswer: 11, 9, 3, 1\/2, 0.096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19*h**3. Let w(n) be the first derivative of n**4\/2 - 2357. Determine -14*w(g) - 2*z(g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 32 = 3*h, 7*n - 17*h - 8 = -22*h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109766 + -76992. Calculate the highest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, w: 1, f: 2, q: 1}. Give prob of sequence fz.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 0 + 1152\/378. Let f(t) be the second derivative of t + 1\/42*t**4 + 0 - d*t**3 + 0*t**2. Find j, given that f(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2251570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**7\/2520 + u**6\/360 - u**5\/20 - 3*u**2. Let t(h) be the third derivative of j(h). What is the derivative of t(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/36)\/(-5)*(-2)\/(-12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = p - 60, -4*n - n = p - 68. Let s(f) = 2*f + 1. Let r be s(2). Let o = r - -11. What is the highest common divisor of p and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccnncn. What is prob of sequence nnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 411686.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhlz when four letters picked without replacement from hhahlzdhhd?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -44. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81302 - 81296. Let b be 1\/(11\/9) - 1. What is the closest to p in 4, b, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 2, z: 2, b: 7, m: 1, s: 2}. What is prob of picking 1 m and 1 s?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -166?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (0 + sqrt(180)*1 + sqrt(180)))*-4)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210788.\nAnswer: 2, 83, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 15 = 5*g, -5*m - 5*g = 30 + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.32*-465\nAnswer: -148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2752054559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 5*h + 4*l - 214 = 0, l + 128 = 2*h. Let u(o) = -h*o**2 + 67*o**2 - 10 + 10. Let i(a) be the first derivative of -20*a**3\/3 + 4. Give i(u(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 77595.71*-0.1\nAnswer: -7759.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 35*f**2 - 12*f - 335. Calculate the remainder when 419 is divided by p(-35).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7981017*3\nAnswer: -23943051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/4 + 26\/104. Let z(x) = -1266 + 1283 + c*x + 11*x. Let m(d) = -5*d - 6. What is 17*m(v) + 6*z(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 30564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 852348859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3 and 47\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 29*i**2 - 27*i + 61. Let b be v(28). Is (b + 6)*(-76)\/(-20) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2173072 (base 9) in base 15?\nAnswer: -181a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.6. Let l = -9.2 - -9. Which is the closest to -0.1? (a) -2 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*l**2*r**3 + 3*k*l**2*r**2*t - 4*k*l**2 - 46*k*l*r**3*t - 2*k*l*r**3 + k*l*r**2 + k*r**2 - 8*r**3*t wrt l.\nAnswer: 4*k*r**3 + 6*k*r**2*t - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 115991, 116069, 116149, 116231, 116315, 116401?\n\"Answer: x**2 + 75*x + 115915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-43)\/(-5) + (-3)\/5. Suppose -3*v + 5*v = 0. Let b = 0 - v. Solve -3*l + l + n = b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 992 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2411 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -4, 16, 56, 122?\n\"Answer: j**3 + j**2 - 4*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -19*d - 1\/3*d**3 - 3\/2*d**2 + 0. Give i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 7*z + 4. Let h be p(7). Let m = 6 - 1. Suppose -2*g - 13 = -h*g - 3*s, 0 = -s - m. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 41896*r. Let m(l) = -27*l**2. Give z(m(v)).\nAnswer: -1131192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 21. What is the common denominator of 194\/t*(-2)\/(-8) and -89\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, k: 3, o: 3, z: 4, n: 1, u: 4}. Give prob of picking 1 k and 1 z.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -144.553 + -0.447. Let s = -150 - w. What is the biggest value in s, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 21 = 2*o. Let f be (-2)\/3 + o\/(-16). Let s = -0.2 - -0.1. Which is the nearest to f? (a) 1\/4 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33687 + -33686.87. Let s be (-8)\/28 - 19\/7. Which is the smallest value? (a) l (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = -6 + 18. Let z be (-36)\/(-30)*1\/d. Sort -2, z, 5.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/24 + 0 - (-141525)\/280. Let q = 507 - z. Determine k so that -6\/7*k**2 + 0*k - 4\/7*k**4 + 0 + q*k**3 = 0.\nAnswer: 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 295*p**2 + 4976*p.\nAnswer: -p*(p - 311)*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-286)\/66 - (-4)\/1. Let t be (-2)\/(-3) - 10\/(-3). Which is the third biggest value? (a) q (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2baa + -5c8?\nAnswer: -3394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/8 - 11*w**3\/4 + 23*w**2\/8 = 0. Calculate w.\nAnswer: -23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 - 0.09. Sort o, 2\/5, 1\/3 in decreasing order.\nAnswer: 2\/5, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42160 is divided by 3559.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1133 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 55 + 0 = 0. Suppose d = -19*p + 125. Solve -s + 4*s + p = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 3. Differentiate -3 + 10 + 23*q + 8 + x with respect to q.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 196.9 + -197. Which is the biggest value? (a) k (b) 1 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-27)\/12 + -1)*-20. Let q = -457\/7 + c. Which is greater: -0.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 8*u**2 - 5*u - 9. Let z(a) = -5*a**3 + 40*a**2 + 24*a + 45. Let v(j) = 11*o(j) + 2*z(j). What is the units digit of v(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 + 38 - 25)*(-2*i - 21 + 21).\nAnswer: -190*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**4 + 860*t**3 - 4*t**2 - 14705*t wrt t.\nAnswer: -48*t**2 + 5160*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/30 + t**2. Let u(q) = -64*q + 5*q**2 + 36*q + 28*q. Calculate j(u(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2337? (a) 11 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.3 (c) -2 (d) -6 (e) 498 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - x**5 - 2*x**4 + (4 + 1 - 1)*(3272*x - 3272*x + 92*x**5).\nAnswer: 367*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 760*y - 28880.\nAnswer: -5*(y + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j + 8. Let q be 105\/j - 3\/6. Let f be (q - 1)*70\/6. What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 11*w = -2*j - 330, 5*j + 141 = w. What is the remainder when 369 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319\/28 bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 464 = 16465. Calculate the highest common factor of 38 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38662 or 502591\/13?\nAnswer: 38662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 12\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -827 + 752.9. Let o = 74 + l. Which is the nearest to o? (a) -5\/4 (b) -2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + g + 2*g - g + 2*g + g + (3*g - g - 3*g)*(4 + 2 - 5) + 0*g - 3*g + g + 44*g + 14*g - 42*g + 0*g + 0*g + g in the form i*g + p and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4, -2*r + 4*r = -j + 12. Solve 0 = -r*u + 19 - 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 8 - (2 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57853\/182 - -2749\/26. Let h = -213 - q. Which is the second smallest value? (a) h (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22007573.1 and -1?\nAnswer: 22007572.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ca57 (base 15) in base 16?\nAnswer: -2f893","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Put -59, 3, -0.9, 3\/2, -24 in decreasing order.\nAnswer: 3, 3\/2, -0.9, -24, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 4*v**2 - 5*v**2 + 2*v + 3*v.\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 860, -1, -12, 2, 50 in decreasing order.\nAnswer: 860, 50, 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/5)*i)**(-5))**(-10))**(-18) assuming i is positive.\nAnswer: i**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f + 9. Give y(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15132, 30255, 45366, 60459, 75528, 90567, 105570, 120531?\nAnswer: 135444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -1, -4, 4\/7, 0, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (sqrt(66)*-1 - sqrt(66))*3)\/((sqrt(36) + sqrt(36) + (1*sqrt(36) - sqrt(36)))\/sqrt(6)).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.937306 millennia?\nAnswer: 9.37306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 4218378. Suppose m = l - b + 534458, -1574723 = -l - b. Suppose l - 374727 = -5*c. Round c to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 584001 and 31977?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*g = -15 + 37, 3*t + 2*g + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y**(-4))\/(y**2*y)**14)\/((y**(-2)\/y*y)**(-31)\/((y\/(y**(2\/21)\/y))\/((y*(y\/(y*y**(-2)))\/y)\/y))) assuming y is positive.\nAnswer: y**(-2102\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 3\/2, 1\/8, 762655\/4 in descending order.\nAnswer: 762655\/4, 3\/2, 1\/8, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22283 is divided by 5567?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2eac8c - -d?\nAnswer: -2eac7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331816 is divided by 6381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o. Suppose 8 = -s - 5*l - o, 2*s + 2*l = 0. Solve 4*q = 2*b + 2*b - 8, 0 = q - 3*b - s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410 (base 5) to base 6.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64842856 to the nearest integer?\nAnswer: 8053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9738958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q - 2*q + 36. Suppose -22 = -3*y + q*r, 5*r = y + 8*r + 10. Solve y*h - 1 = p - 0*p, 2*p - 3 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {m: 1, t: 2, c: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7643\/16215 + 67\/1081. Suppose 0*k + 2\/15*k**5 + s*k**4 + 0 + 0*k**2 + 2\/5*k**3 = 0. Calculate k.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297212809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6080 and 0.3?\nAnswer: -1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132\/101, 3, 0.\nAnswer: -132\/101, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-853 - -1) + 0 - 14\/7. Let k = y - -1446. Suppose -k + 146 = -2*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1 - 2)\/(-1))\/(3\/(-12)). Let z be -2 - (p - 20\/(-4)). Let n be (2\/(-3))\/(-5 - 14\/z). Solve -n*t + 3 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*r + 136 = 0, -2*n - r + 132 = -4*r. Let h = n - 57. Solve h - 7 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.614 - -1\nAnswer: 1.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14745)\/21626*165\/(-175)?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 93?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 not equal to -159776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 120\/661, 0.5, 0.4, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/3*2\/(-32) and (-1)\/(-12)*(76 + -2 + -7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 25 (b) 0.066 (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-144) - ((-21)\/54 + 1). What is the nearest to -0.3 in 0.3, -5, f, 2\/41?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69546 + -15080. Let g = -5247135\/62 - o. Let c = 4\/93 + g. Calculate the common denominator of -61\/16 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103895500 divided by -20779100\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 - (4 - 2) - -3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 215b3a0 (base 14) to base 12\nAnswer: 536b040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2170705.2 months to centuries.\nAnswer: 1808.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = r + 7*q + 127 - 243, 120*q = -3*r - 426 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178 or 184?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u + 66*u + 45*u + 1064 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3261 + -3034.1. Let m = k + -227. What is the nearest to -0.1 in 20, -2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50362*-0.1.\nAnswer: 5036.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1282, 10324, 34838, 82558, 161218?\nAnswer: 278552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = 3*i. Let p = 75 - -44. Let a be 343\/p - 8\/(-68). Put i, -5, a, -1 in descending order.\nAnswer: a, -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -635 + 637.93. Let d = m + 0.07. Which is the closest to -2? (a) 0 (b) d (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4774*x**6 + 7*x**2 - 240*x.\nAnswer: -572880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2427.5 - 2427. Which is the second biggest value? (a) d (b) -2\/35 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3996 - -7033. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1565.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -65. Let a = s - 110. Let i = 354 + a. What are the prime factors of i?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 + 123*m**3 - 9921*m**2 + 45237*m + 55278 = 0. What is m?\nAnswer: -83, -1, 6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.07183ml in litres?\nAnswer: 0.05807183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -6*c + 36. Suppose 0 = -q - 3*q. Suppose -5*j = x - q*x + 4, c*j = -4*x + 69. What is the remainder when x is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**10*q**(-2\/19)*q*q\/(q*q**(-1))*(q*q**(-1\/4))\/(q\/q**6)*q**(-1\/3)*q**0 assuming q is positive.\nAnswer: q**(49\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(1\/4)*c))\/(c**(-2)*c)*c*c**(-1\/3)*(c\/c**5*c)\/c assuming c is positive.\nAnswer: c**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:12 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -414 + 34?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3923 >= -1539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 758098079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 13021680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 11. Let i be 11\/(u\/33*-1). Let c = 321 - i. What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 18 = -2*r. Let f = 1334 - 1323. Solve 0 = -r*g + f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467 - 926 = 8*y - 395 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.053 + -0.347. Let u = -50 + 49.7. Which is the nearest to -0.1? (a) m (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 229*k + 1357. Let q be d(-5). Solve -6*u + 200 = q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 3*c**2 + 3*c - 3. What is the units digit of b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 4278 = 4446 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 - 174*b**3 - 4*b**5 + 36*b**4 + 47*b**4 - 17*b**4 + b**5 + 177*b + 57*b**2 - 9*b**2 = 0 for b.\nAnswer: -1, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, 33, -4, -1 in descending order.\nAnswer: 144, 33, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 313 + 1187. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 306066937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419737911?\nAnswer: 3, 19, 7363823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 4*b - 3. Let a be h(-5). Let f be a\/((-1)\/(-2 + 0)). Suppose -5*m - 4*c = -79, f*c = -3*m + 63 - 22. Round m to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*q = -5*q + 153, -79 = -2*d - 3*q. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -3.7, -9, -5863?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 2*j + 4 = -2*q, -28 = -2583*j + 2587*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 11*j - 11. Suppose 0 = -t - 2, 9 = -w + 5*t + 7. Calculate p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -3. Let a be -3*o\/27*3. Is (a - (1 - -2)) + 4 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3 = 4*i, -5*n + i - 5 = 2*i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16744 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 651.8 - -102.2. Let y = -669.3 + d. Round y to 0 dps.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*j = -289*j + 22230. Solve -11*q - 800 = -j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -b - 2 - 1, 4*n - 63 = 5*b. Let o = -825 - -835. Let u = b + o. Let y(h) = h**2 + 6*h. What is y(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + g - 2*g)*(g**2 + 0*g**2 - 3*g**2) + g**3 - 3*g**3 + 0*g**3 - 12203 + 12203 - 188*g**3 to k*g + j*g**3 + m*g**2 + b and give j.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - b**2 + 8*b - 4. Let o be f(-4). Suppose 0 = -5*k + 2*i + 193, i = -2*i - o. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 11*h = 5*r + 36, 4*r + 5*h = -39. Let s(d) = 8*d**2 - 15*d - 1. Does 6 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 3 (c) -10 (d) 0.7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 895110 <= 895113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c**2*t**3 - 3*c**2*t - c*s**2*t**2 + 7*s**2*t**3 - 18*s**2*t**2 wrt c?\nAnswer: -6*c*t**3 - 6*c*t - s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/3 - (4 + (-12)\/3). Let r(v) be the first derivative of -4 - 3\/4*v**4 + 0*v + 0*v**2 + 5\/3*v**g. Find the third derivative of r(i) wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-32)*(-10 + 338\/39). Which is the biggest value? (a) 0 (b) -2\/3 (c) -5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x - 198 + 48 = 87*x - 51*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 205, 448, 789?\nAnswer: 1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - g + 20, 7*g = -4*n + 2*g + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -171095638, -2 in descending order.\nAnswer: -2, -5, -171095638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 80540118 divided by 40270059\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-1)\/((-1)\/(-1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhc when three letters picked without replacement from hkkzczhkhkhkk.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -18. Suppose 1490 = 5*j - 2*b + 7*b, 5*b - 1196 = -k*j. Suppose -1191 = -3*o - j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 v when three letters picked without replacement from {d: 1, j: 1, v: 2, g: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -215 - 4*k + 11\/3*k**3 + 0*k**2 + 0*k**4 + 223\/5*k**5. Find the third derivative of j(c) wrt c.\nAnswer: 5352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.026 in 1, -2, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = 5*m. Let l be (-3 - (m + -2))\/(-2). Suppose -l*f + 0*f + 12 = 0. Calculate the greatest common factor of f and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 5*n. Suppose 0 = 7*u - 47 + 19. Let k(r) = -13*r - 1 + 1 + u*r. What is h(k(c))?\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:06 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5*(sqrt(78)\/sqrt(6) + -5) - ((sqrt(637) + sqrt(637)*-3)*6 - sqrt(637))))**2.\nAnswer: 3612*sqrt(13) + 96589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603788?\nAnswer: 2, 271, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34 (b) -5 (c) 1\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 611, 2463, 5551, 9875, 15435, 22231?\n\"Answer: 618*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4341 + -4341.03. What is the nearest to -3 in 5, -3, 2, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.41986 kilometers in nanometers?\nAnswer: 78419860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 22651860.\nAnswer: 67955580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57.64 - -57.74. Which is the second biggest value? (a) 5\/6 (b) s (c) -3 (d) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120872720?\nAnswer: 2, 5, 17, 31, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.37.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 920 = -v, -2*l - 3*v + 740 = -180. Factor -4 - 2*m + 12 + 459*m**2 - l*m**2.\nAnswer: -(m - 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 210 = -2*n. Let h(w) be the second derivative of -67*w**3\/6 + 3*w**2\/2 - 3*w. Let z be h(-1). Does n = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 86. Let y(s) = -s**3 - 16*s**2 - 3*s - 20. What is the least common multiple of 12 and y(d)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 519*n**3 - 9*n**2 - 1563*n - 1038.\nAnswer: 3*(n - 2)*(n + 1)**2*(n + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427954347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 310 = -80. Suppose 0*h + p = 2*h. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -672\/19, 7, -0.4, 1.4?\nAnswer: -672\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(2 + 1 + 0)*(0*w - 2*w - w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 145\/13214 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -204 - 84. What are the prime factors of 556 - (w\/(-12) - 2\/(-2))?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/3 - 6025478*c**3\/3 + 30127290*c**2 - 451908850*c\/3 + 753181000\/3 = 0 for c.\nAnswer: 5, 3012724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*h - 26*h - 26*h + 3 in the form v + y*h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**3 + 28*j**2 + 6*j + 15. Give k(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r - 6*r)*(-3 - 2*r**4 + 3) + 0*r**4 + 3*r**5 + 0*r**4.\nAnswer: 11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/897 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -154, -124, -94?\n\"Answer: 30*q - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - l + 1. Let d(t) = -20*t**2 + 5*t - 4. Let f(i) = d(i) + 5*u(i). Let a be f(-1). Let v = a + 40. What is the least common multiple of 6 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a**5 - 61195*a**4 + 93788820*a**3 - 514355490*a**2 + 560439810*a + 420536205 = 0.\nAnswer: -1\/2, 3, 3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6699, -2, -5.\nAnswer: -5, -2, 1, 6699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5211 + 5215. Which is the closest to -1\/4? (a) -51 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 - 62*b\/7 + 8643\/7.\nAnswer: -(b - 67)*(b + 129)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*y**2 - 31*y**2 - 41*y**2 - 25*y - 35*y**2 + 25*y - 15*y**2.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 4*k - 1. Let v = -330 + 167. Let i = -170 - v. Let z(a) = 2*a**2 + 7*a + 1. What is i*j(f) - 4*z(f)?\nAnswer: -f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7*r**3 + 36\/7 - 20\/7*r**2 - 12\/7*r = 0. Calculate r.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -17 + 17 + 10 + -27\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1368 (b) 2\/11 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(170)*-1 - sqrt(170)) + sqrt(170)*3*-5)\/((sqrt(10) - (2*sqrt(360) - sqrt(360) - sqrt(360))) + 2*sqrt(360)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 93.856 * -1\nAnswer: -93.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*l**3 - 217 - 4*l + 68*l**3 - 159*l**3 in the form v + z*l**3 + g*l + o*l**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -408, -613, -818, -1023, -1228?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let p(h) = -7*h**2 + 77510795*h - 1. Calculate s(p(v)).\nAnswer: 14*v**2 - 155021590*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236 divided by 3.\nAnswer: -236\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**3 - g**2 + 1. Suppose 400*a - 381*a = 456. What is the smallest common multiple of w(1) and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 3. Let q be g(-3). Suppose -a + 2 + 3 = q. Let -2\/5*m**4 - 2\/5 - 3\/5*m**a + 2*m**3 + 12\/5*m**2 + 1\/5*m = 0. What is m?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 6.\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -14*l**2 - 5*l + 5. Let n(u) = 6*u**2 + 3*u - 3. Determine -4*c(d) - 7*n(d).\nAnswer: 14*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6477 and 0.038?\nAnswer: 6477.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 70.85*-2\nAnswer: -141.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 43*n + 570. Determine y(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-250)*10*(-8)\/(-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -11 (b) -13 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 0 + 3\/80*a**5 + 1\/32*a**6 + 0*a - 1\/16*a**4 + 7*a**2 + 0*a**3. Find t such that n(t) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 284 (b) 32 (c) -2\/15 (d) -137 (e) -2\/3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 18 + 5 - 222)*(-2*w + 3*w - 2*w).\nAnswer: 242*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63861490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1538*g**2. Let c(t) = -6*t**2. Determine c(f(o)).\nAnswer: -14192664*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*r + 26*k - 21*k, -5*r + 35 = 3*k. Let y(x) = -2*x. Let c be y(-1). Suppose -4*z + 9 = -5*n, 0*z = r*z + 2*n - c. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109671 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2336*r**2 - 793*r**3 + 2336*r**2.\nAnswer: -793*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 15, -2, -19, -36, -53?\n\"Answer: -17*n + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.65 - 164.35. Let w = -167.99999158 - m. Round w to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21186 and 427786.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634952 or -1269903\/2?\nAnswer: -634952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -17. Suppose u*z + 2*z = 117. What is the derivative of 16*g**3 - 1 + z*g**3 - g**3 + 12 wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89*n**4 - n**2 - 829?\nAnswer: 356*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 + -0.112. Let q = -0.202 - t. Let x = -19 - -16. What is the closest to -12 in x, 4, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 2. Suppose 5*r + 5*b + 20 = 0, 2*b = -4*r + b - 4. Let o be j(r). Solve o*d + 3*d - 10 = -2*m, -3*d = 5*m - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 6 = -31. Let t(q) = q**2 + 2*q - 1. Let r be t(j). Calculate the greatest common factor of r and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 7*o + 459. Suppose -5*f = -o + 23. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3919, 4609, 5725, 7267, 9235?\nAnswer: 11629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q - 7929 - 11480 = 0. Let d = q - 1490. Factor -25\/6*n**4 + 5\/3*n + 15\/2*n**d + 0 + 5\/6*n**5 - 35\/6*n**2.\nAnswer: 5*n*(n - 2)*(n - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0222457 to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p - 3. Let y be x(-2). Let o = -7839\/17 - -461. Which is the third smallest value? (a) 2 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 12*a + 10. What is b(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 32 - -113 - -13?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + sqrt(2) + sqrt(8)\/sqrt(4))*-5*-6)**2.\nAnswer: -11160*sqrt(2) + 15849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 + -6 - (7 + -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/19*(-170)\/68*16\/30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010011000101001 - 10010?\nAnswer: -11000010011000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/39, 1, -6.2, 63\/4, -0.4 in decreasing order.\nAnswer: 63\/4, 1, -0.4, -16\/39, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -677 (base 15) in base 16?\nAnswer: -5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4261?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 304 + -177. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 f when three letters picked without replacement from kkyklllkkfkkkllklkk.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 20 = -4*y. Let h(r) = 5*r**2 - 25*r + 23. Let i(q) = -q + 27. Let t be i(23). Let f be h(t). Solve f*a = n - 11, 3*n + y = -a + 5*n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1438, -2225, -2998, -3751, -4478, -5173?\n\"Answer: q**3 + q**2 - 797*q - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -222 - -231. Put w, 3, 2, 4 in descending order.\nAnswer: w, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -15. Let c(d) = d + 1. Let w be c(2). Let z = u + w. Solve -5*y - 15 = -4*m, 4*m - y - 9 - 10 = z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.9 (b) -10.6 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107 - -111. What is the nearest to -1\/2 in b, -2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20961, 95, 0?\nAnswer: -20961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(21)\/sqrt(3)))\/sqrt(12) + (sqrt(15)\/(sqrt(36)\/(sqrt(24)\/sqrt(2))))**2.\nAnswer: sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-448)\/(-882)*(1 - 7) and 67\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/11 and 15\/220384.\nAnswer: 2424224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.069405+-56186328\nAnswer: -56186328.069405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-3*5 + sqrt(156))*-6)\/(-5*(sqrt(12) + sqrt(972) + sqrt(972) + (sqrt(972) + sqrt(972) + -2*sqrt(972) - sqrt(972)) + sqrt(972))).\nAnswer: -84*sqrt(13)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -42*v**3 - 42*v**2 - 70*v - 8. Calculate h(-2).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 35. Let m = -6 + 8. Let z be 11*(3 - (m - 1)). What is the greatest common factor of z and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*o + 141409 - 3135. List the prime factors of o.\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z**2 - 44. Let y(a) = -6*a**2 - 163 + 312 - 149 + 2*a**2. What is y(v(w))?\nAnswer: -64*w**4 + 1408*w**2 - 7744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32417*f**2*t + 253656101*f**2 + 521*f*t wrt t?\nAnswer: 32417*f**2 + 521*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(760\/135)*72\/135*-10.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -3127.3?\nAnswer: 6254.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 + 102. Let k be (-2)\/3 + (-16)\/p. Let b = 128 + k. Calculate the remainder when b is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 243, -3\/29, -127 in ascending order.\nAnswer: -127, -3\/29, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4355 a factor of 102197997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 155*l**3 - 3*l - 3. What is g(-1)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9070665, -9070677, -9070691, -9070707?\nAnswer: -9070725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {n: 1, w: 2, c: 1, x: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g**2 + 0*g**2 + g**2)*(0*g - g + 3*g) + 2*g**3 + 4*g**3 - 5*g**3)*(4*g - 3*g - 3*g)*(-2*g - 12*g + 4*g).\nAnswer: 100*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 397*r - 69124. Calculate n(174).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*n**2 + 2*n**2 - 5*n**2 + 2*n**2 - 2*n**2 - 2 + 9 + 11*n - 9 - 4 - n**2 + 4 + (n + 0 + 0)*(-3*n + 2*n + 3*n) to t*n**2 + x + c*n and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/38 and -97\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -13 - (3 + -3). Let i(f) = 13*f**2 - 7*f + 11. Let u(c) = -7*c**2 + 4*c - 6. Give q*u(j) - 6*i(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32380\/9 - -3598. Which is the third biggest value? (a) 0.3 (b) g (c) 130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 + (-3)\/3 - 20\/5 is divided by (-270)\/(-14) - 6\/21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6 = -6*u, 0 = 2*l - 5*u - 320 + 314 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-24) + -2)\/((-248331)\/(-4140) - 60)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -0.24, -365?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 23*u**2 + 176*u - 54. What is w(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 1:55 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 24759*n + 24760.\nAnswer: -(n - 24760)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 3*p)*(701*p**2 - 1406*p**2 + 704*p**2 - 642).\nAnswer: -2*p**3 - 1284*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3*n**3 - 2702*f**3*n + 15*f*n**5 + 4*n**2 wrt n?\nAnswer: 18*f**3*n + 300*f*n**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 9*o + 3*o + 6*o. Let g(c) = 1505*c**2 + 140*c + 280. Let b(p) = -32*p**2 - 3*p - 6. Let i(r) = 140*b(r) + 3*g(r). What is i(n(z))?\nAnswer: 35*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r**2 - 8*r**2 - 3*r**2 + 9*r**2 - 6*r**2 + 3*r**3 + 1910 as v*r**2 + y + z*r**3 + b*r and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -387 - 30351*u**2 + 1211 + 30350*u**2 in the form l + n*u + x*u**2 and give l.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11864479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose 0 = 359*f - 969 - 187 + 79. Put -1, o, 11, f in ascending order.\nAnswer: -1, f, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 5727 = 4353. Suppose 108 = -z + l. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -686820, -686993, -687166?\n\"Answer: -173*m - 686647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 841053, 841009, 840937, 840837?\n\"Answer: -14*s**2 - 2*s + 841069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*z - 12, 3*z = 4*m + 1 + 11. Which is greater: 6\/25 or z?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5225, -9924, -14623?\nAnswer: -19322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 l when four letters picked without replacement from mlnlmlnllmnlli?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -17*v**2 + 24*v**2 + 0 - 1. Calculate s(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -13.29.\nAnswer: -12.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**2 - 6*h**2 - 2*h**2 + (3*h**2 + 4*h**2 - 5*h**2)*(-2 - 3 + 3) + h**2 + h**2 - h**2 + 3*h + h**2 - 2*h**2 - 4*h + 1 + (-1 + h + 1)*(5 - h - 5).\nAnswer: -7*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 856627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 - -4 - (-28 + 25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 58. Let w(j) = 11. Let i(y) = -b(y) + 5*w(y). Let u(v) = -v**2 - 2. Suppose 0 = -4*m + m. Let x be 2 + 3\/(-6)*m. Calculate x*i(z) - 3*u(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10735598, -10735606, -10735616, -10735628, -10735642, -10735658?\nAnswer: -10735676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*c**3 - 37*c**3 + c**2 + 45*c**3 + c**3 + 4*c - 4*c + (0 + 2*c + 0)*(c - c + 2*c**2) in the form o*c**3 + d + w*c**2 + m*c and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -418*p - 397*p + 1219*p - 446*p. Let i(z) = 5*z. Determine b(i(f)).\nAnswer: -210*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 248?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(252) - sqrt(14)\/sqrt(32).\nAnswer: 23*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a52718 (base 11) in base 9?\nAnswer: 10751636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.535938 litres to millilitres.\nAnswer: 3535.938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*u = 12, 5*x + 55544 - 55541 = u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 16*d**2 + 6*d - 49. Determine u(7).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 98*x**3 + 18*x**2 - 882*x.\nAnswer: -2*x*(x - 49)*(x - 3)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -22 + 46 + -11.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(2\/5)*m**(-3)*m assuming m is positive.\nAnswer: m**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.317 + -132.337. What is v rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 1 = -2*p - 4, -12 = 2*p - 4*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/7 of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**4 + 0 - 12*r**3 + 0*r - 8\/3*r**2 + 56\/3*r**5 = 0.\nAnswer: -1\/2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**5\/5 - 10*l**4 + 142*l**3\/5 - 118*l**2\/5 + 6*l = 0. Calculate l.\nAnswer: -15, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 558 = 212. Let x = h + -186. What are the prime factors of x?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x. Let d(h) = -3*h**2 - 22174. What is f(d(y))?\nAnswer: 33*y**2 + 243914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/12 + 7*h**3\/6 - 3*h**2\/2 - 5*h. Let o be (-1)\/((-98)\/99 + 1) + 4. Let v = o + 102. Give c(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41297, 82568, 123811, 165026, 206213?\n\"Answer: -14*h**2 + 41313*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewlecwccs. Give prob of picking 1 s, 1 w, 1 c, and 1 e.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 31. Let p be 4\/y + 12\/(-15). Which is the closest to p? (a) -0.5 (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b**2 - 2. What is the tens digit of p(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1477591 to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + -2 + -5 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y. Let q(n) = 16*n**2 + 5796*n + 19. Determine l(q(x)).\nAnswer: -80*x**2 - 28980*x - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658.653 kilometers in centimeters?\nAnswer: 165865300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -2*k**5\/5 - k**4\/6 + 2*k**3\/3 + 19*k**2. Let x be b(2). Round x to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 130 + 129 + 170 + 94 - 15*q - 617. Give o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 5 - 408*d**2 + 159063*d**3 + 0 - 159067*d**3 to the form s*d**3 + a + u*d + c*d**2 and give c.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - -17. Let b(q) = 150*q + 4. Let n be b(2). Suppose 4*k = n + p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 13930152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2471851633 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -292550*b - 4. Let f(a) = -51*a. Determine f(v(u)).\nAnswer: 14920050*u + 204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2012.10588s?\nAnswer: 0.0232882625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 3388 + 3*b + 3*b**2 - 10*b**2 - 8*b**2 + 16*b**2.\nAnswer: b**2 + 3*b + 3388","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + v + 33 = 0, -4*k + 119 = -k + 2*v. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w + w**2 + 0*w**2 + 2*w + 0*w. Let j(a) = -a. Calculate -j(m) - o(m).\nAnswer: -m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*-1.68\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*c + 42 - 126. Suppose 5*u - 8 - 17 = 0. What is the closest to -0.1 in u, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.076 - 0.206. Which is greater: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**5\/10 + 11*z**2. Let a(k) = 2*k**2. Determine a(b(j)).\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**5 - 1565*f**4 + 45340*f**3 - 190220*f**2 + 62080*f + 299200 = 0.\nAnswer: -340, -1, 2, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**4\/8 - a**3\/3 - 48*a**2. Let y be n(2). Suppose 0 = 3*l - y*f - 240, -5*l + 2*f = -0*l - 414. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 - x**4 - x**4 + (x**2 - x**2 - 2*x**2)*(4*x**2 - 4*x**2 + 4*x**2).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*y + 4*w - 1, -4*w = -20. Let s(i) = i**2 - 8*i + 3. Let u be s(y). Solve -2*k - u*n = -0*k - 11, 11 = -3*k + n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h + 60 = 28*h. Suppose -8*c + 5*c = -h. Solve -c = z + z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**2 - 2*x**2 - 4*x**6 - x**2 wrt x?\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3939\/5 + -785. Let s = 113\/10 - h. Calculate the common denominator of s and 17\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enoedvpp. Give prob of sequence nov.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 - 2196*t**2 - 17*t + 2195*t**2 + t**4 to q*t**3 + g*t**2 + c + h*t**4 + z*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 5. Let u be d(4). Suppose 0 = s - 3*w + 5*w + 21, 3*w - 15 = 0. Let q = -27 - s. Solve -q*a = -3*z, -u = 5*z - 4*a - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.2769 millilitres in litres?\nAnswer: 0.9202769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 257*k - 4*k**2 + 4 + 259*k. Let q(w) = -w**2 + w + 1. Determine l(z) - 2*q(z).\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 9, r: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9645.893ng to tonnes.\nAnswer: 0.000000000009645893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9*c = 5*m - 65, -5*c = -5. Let p be (-1)\/5 + m\/(-5). Let j be ((-8)\/(-12))\/(p\/(-9)). Solve -3*v + j*o - 8 = 0, -2*v - 9 = -3*o - 2*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079464303 rounded to 6 decimal places?\nAnswer: 0.000795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 333?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(7\/2)*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7280652283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*f - 45 + 35, 7 = w + 2*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1155\/194 - -626\/97. Determine q so that -9\/2*q + 0 - x*q**4 - 3\/2*q**2 + 5\/2*q**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -11) + (120 - 143)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7228243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/69*32331\/129. Let i = -264\/23 + g. Let s = -1197\/86 + i. Find the common denominator of s and -5\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - 1842\/(-24). Let j = o + -55. Let d = 27 - -103. Calculate the remainder when d is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.22 + 0.28. Let q = l + -15.5. What is the closest to -0.1 in q, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 503*q**3 - 62*q**3 + 268*q**3.\nAnswer: 709*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*f - 5. Suppose -5*c + 28 - f = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 117 = m + 3*m, 0 = 5*r - m - 123. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15636186?\nAnswer: 2, 3, 289559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bipqqeqq. What is prob of picking 1 p and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/8880 and 29\/50080?\nAnswer: 5558880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {m: 1, s: 2, c: 1, k: 1, q: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*12\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 729*y**5\/4 - 297*y**4\/4 - 74450*y**3 - 260593*y**2 - 134832*y - 19008 = 0. Calculate y.\nAnswer: -18, -3, -8\/27, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u**7 + 0*u**3 + 1\/84*u**8 + 0*u + 0*u**6 - 1\/12*u**4 + 3*u**2 + 0*u**5 + 0. What is the second derivative of s(y) wrt y?\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a + p, 154*a - 4 = 152*a - 4*p. Solve 0*o + a*o + 4*q = 16, 4*q - 10 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 521*n - 67645. Give o(-246).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/21 and 14\/915?\nAnswer: 6405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 2. Let m be s(-7). Factor -28*h**2 - 4*h**3 + 63*h**4 + h**5 - 35*h**4 + 3*h**m.\nAnswer: 4*h**2*(h - 1)*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac1 - -34767?\nAnswer: 33a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10913 by -1.\nAnswer: -10913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -5. Let s = -8.6 - r. Let o be (-2)\/5 + (-144)\/(-260). Put 0.3, s, o in descending order.\nAnswer: s, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, b: 14}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1090520 and 381682.\nAnswer: 7633640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -127, -5679, -11231?\n\"Answer: -5552*n + 5425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 35 = -5*x - 3*a, 3*x + 4*a + 52 = 0. Is 16 a factor of (x\/6 - -2) + 440\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 288*v**3 + v**2 + v - 2. Let s = -19 - -20. Does 24 divide a(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 21*b - 12. Is a(-29) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1865, -1865, -1861, -1853, -1841, -1825?\n\"Answer: 2*p**2 - 6*p - 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkkakaaak. What is prob of sequence akk?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -58877*r - 1. Let k(n) = -n + 37. Give h(k(g)).\nAnswer: 58877*g - 2178450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338502 = 604*g - 598*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11 + 2*i + 7 - 1. Let o be y(8). Let a = o - 25. What is the least common multiple of 10 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 361, 819, 1461, 2287, 3297?\nAnswer: 4491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/2 - 12*h + 14. Let t(f) be the first derivative of b(f). Let z(y) = -2*y**2. Calculate t(z(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3354, 3355, 3356, 3357, 3358?\nAnswer: 3359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33713240, -67426478, -101139716, -134852954?\nAnswer: -168566192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1535 - -3347. Suppose 8*t = 12*t - 2*v - w, 3*v = 5*t - 2264. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 7 - 6*q**3 - 2*q**2 + 2 + 5*q**3 - 2*q in the form s + r*q**3 + t*q**2 + c*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*r + 438*r = 2878 - 4847 - 29465 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(7 - 440\/56).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*p - 4. Let s = -192 + 194. Suppose p = -s*k - 9. Put 0, -1, k in ascending order.\nAnswer: k, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**4 + 848*i**3 + 517*i**2 - 15200039*i wrt i.\nAnswer: 24*i**2 + 5088*i + 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-12) - 1\/(-1). Is w smaller than -1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4768657*q**3 + 2927702*q wrt q.\nAnswer: -28611942*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(343) - (sqrt(343) + 2)))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, -1, -2\/3, 0.3.\nAnswer: -1.9, -1, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107298 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322, 446, 584, 742, 926, 1142, 1396, 1694?\nAnswer: 2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 7*p + 7. Let h(b) = 5*b**2 - 15*b - 15. Let a(d) = -3*h(d) - 7*o(d). Give a(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12540 and 310860.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15*a**2 + 10*a - 280. Let r(o) = -13*o**2 + 11*o - 373. Give -3*r(v) + 4*y(v).\nAnswer: -21*v**2 + 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0634794 litres in millilitres?\nAnswer: 63.4794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1073507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2 + 47 - 14*c**2 - 729*c + 405*c**3 + 78 + 404*c - 35*c**2 = 0.\nAnswer: -1, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190713 and 421.\nAnswer: 190713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 53 = -0*a + 5*l, 3*a - 96 = 2*l. Let z = a + -34. Suppose -5*y - 3*t - 127 = z, -y + t - 19 = -0*y. Which is smaller: -24 or y?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Suppose -u*j - 2 = -34. Suppose 4*k - 104 = 344. What is the highest common divisor of j and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39623\/26850 - 56\/537. Let b(o) = -o**3 + 14*o**2 + 38*o + 8. Let z be b(16). Calculate the common denominator of a and -108 + z - (-1 + 28\/(-5)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 = b, b - y - 5 = -0*y. Suppose w = -3*r + 20, r + 4*w - 10 = b*w. Let x = 12 - 6. Which is greater: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2858 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 251, -1\/7.\nAnswer: -1\/7, 1\/8, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18813144 and 25868073.\nAnswer: 206944584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:12 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 31*t - 265. Give d(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -22134002\/129 and -171582 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3126393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 379.7 + -380. What is the closest to 1\/5 in 0.13, -2\/5, u?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 758 + -720. Calculate the greatest common divisor of 14 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120822196 to the power of 1\/2, to the nearest integer?\nAnswer: 33479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 2032544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5.8 (b) 91\/4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218270 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 246889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62975\/(-60) + (-3)\/18. Let h = a - -1034. Calculate the common denominator of h and ((-8)\/(-36))\/(16\/102).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49756075 and 0.1.\nAnswer: 4975607.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1726071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 60 = 0. Suppose 3*m - 4*d = 7*m - 20, 2*d - 34 = -5*m. Calculate the highest common factor of m and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1\/2 (c) -299 (d) -3\/5 (e) 0.3 (f) 160\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/224100)\/(94\/2115)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1320 divide 224329059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4520 + 137?\nAnswer: -4383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**4\/4 - 2289705*g**3 - 2097076697635*g**2\/2 + 10485555216675*g - 104856124596125\/4 = 0.\nAnswer: -915887, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j\/(j*j*j**(-6))*j)*j**(-5\/6)*j**(3\/4)*j**0)**(33\/4) assuming j is positive.\nAnswer: j**(-407\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**3 + 2*b**2 + 5*b - 6. Let q(c) = 13*c**3 + c**2 + 5*c - 7. Let f(u) = 6*h(u) - 5*q(u). What is f(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3.5. Let s be (10\/1175)\/((-12)\/(-325)). Let r = s - 3\/47. Which is the third biggest value? (a) r (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4*w = 14*o - 1708, 4*o + 3*w = 1367. Let z = -86 + o. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) -17\/14 (d) 0.007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 220*x\/3 + 190946.\nAnswer: -2*(x - 593)*(x + 483)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61156.49 millilitres?\nAnswer: 61.15649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 45 = -f + 4*s, 171 = 3*f + 5*s. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 4. Let f be d(-10). Let q(v) = 0*v**2 + f*v + 5*v**2 - 5*v. Calculate q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9377.908571 and -0.143.\nAnswer: 9377.765571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 80*i - 379. Determine c(75).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52837 - 37176. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 2281*w + 411442. Determine x(168).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -128*c**2 - 2*c**2 + 1675 - 1675. Let j(o) = -6*o. Give j(l(k)).\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 - j - 1971 - 111*j**3 - 2081 + 2*j**4 + 4054 in the form b*j**4 + g*j**2 + t*j + w*j**3 + p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288200919*p**3 + 39902*p**2 + 513*p wrt p.\nAnswer: 1729205514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 1.1 (c) 13 (d) 54161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 26 + 86 = -3*d, 2*z + d = -38 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 6984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1, 405?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 + 348. Suppose -5*s = -a + 23. List the prime factors of s.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1352614056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 74 (b) 2 (c) -2\/7 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 15 = 6*t + 3*w, w = t + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/50460 and -91\/13456.\nAnswer: 201840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 642 + -109. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22013, -552 in descending order.\nAnswer: -3, -552, -22013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, 2400, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27126 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6139483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -106008\/41 equal to -2585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 710522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166358038?\nAnswer: 2, 7, 11, 154321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*c - 4, -h + 0*c = 2*c + 5. Find the common denominator of -89\/8 and (-178)\/20 - -1*(2 - h).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18787149178867 + -18787137367245.8000068. Let p = 11811619 - q. Let j = 2.2 + p. What is j rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2 - 823387908*m - 84745955880077058 = 0.\nAnswer: -205846977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*v + 2*v + 3*i, 0 = -5*v + 5*i + 25. Suppose 2*q + 3*b + 1059 = 6*q, v = -3*q - 2*b + 790. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3993790 > -3993800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*r = 26, 3*x + r = -x + 17. Suppose 2*a + 109 = -x*f + 4*a, -a = -f - 37. Let j = f - -71. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*(1*sqrt(847) + sqrt(847)) + -1)**2)*3.\nAnswer: 132*sqrt(7) + 10167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 748 and 88.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 164*r + 72. Let a(w) = -8*w. Determine n(a(k)).\nAnswer: -64*k**2 + 1312*k + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 61*u + 79. What is m(-17)?\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 80*n**2\/3 - 3200*n\/3 - 128000\/9.\nAnswer: -2*(n + 40)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.85 to the nearest integer.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = o + 2*n, -5*o = -2*o + n + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 594909829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -299 - -335. Calculate the least common multiple of r and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 34.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 divide 3968841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 299*l**2 + 10765128*l**3 - 10765128*l**3 - 10*l)*(4 + 2 - 4)*(2 + 0 - 3).\nAnswer: 4*l**4 - 598*l**2 + 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.86 + 1.14. Let q = 20.4 + -2.9. Let y = x - q. What is y rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 11*w - 18. Let z(d) = d**3 + 3*d**2 - 11*d + 3. Calculate the remainder when 21 is divided by z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 32. Let p = 5 + -11. Let i = g + p. Solve -5*y + 30 = -5*x, -2*y + i*x + 19 = 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -4.041?\nAnswer: 5.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 1. Let w be p(3). Let g(t) = -t**3 - t**2 + 5*t - 6. Let l be g(-3). Let u be ((-1375)\/l)\/(w\/384). What is u rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 4*u - 4. Suppose -r - r = -20. Does 14 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*i + 254 = 0, -3*i = -4*i + 2. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*u = -30, 0*g - g + 5*u - 8 = 0. Put 0, -4, -5, g in descending order.\nAnswer: g, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17148)\/(-42) - 4\/14. Let k(l) = 719*l + 2910. Let s be k(-4). Calculate the greatest common divisor of o and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 8*j**3 - 15*j**2\/2 + 6. What is the second derivative of a(w) wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007929329 to five dps.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and 554492.\nAnswer: -21625188","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 936 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m - 57 + 354 = -93 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 2 = 42*n, -4*m + 36720 = 2*n. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.11 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -q - k, -2*q + 3*k = 4*k - 162. Let z = q + -172. What is the units digit of 2230\/14 - (-26)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (64 - 6*u - 64)*(4 + 2 - 4)*(22*u - 40*u - 39*u) as c*u + y + l*u**2 and give l.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.6 (b) -1.4 (c) 8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-15))\/(6\/(-30)). Solve -v*l = -2*l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(288) - 1*sqrt(288)) + (4*(0 + sqrt(288)) - sqrt(288) - sqrt(288)))*2)**2 - (-6*(sqrt(288) + sqrt(288) + 4) + -2)*6.\nAnswer: 1824*sqrt(2) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o + 6. Let h be (-28)\/49 + (-114)\/21. Let v(z) = 9*z + 0*z + 5*z + 5 - 3*z. Calculate h*v(t) + 5*c(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + k**3)*(0*k - 8*k - k) + 118*k**4 + 152*k**4 - 40*k**4 + 147*k**4 as c*k + r*k**2 + u*k**3 + f*k**4 + o and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -438b (base 15) in base 9?\nAnswer: -21555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 88. Let n be -2*(g\/9)\/(4\/(-12)). Factor 0 + 0*h + 2\/3*h**3 + n*h**2.\nAnswer: 2*h**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 1920 = v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 37091.354.\nAnswer: 1520745.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2485 - -1597. Find the common denominator of (183\/(-4))\/3 + -1 and 10\/(-25) + z\/(-45).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11525109 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3050.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:59 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h - 32. Let f be p(0). Let m = 4\/77 + 211\/385. What is the closest to f in -2, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -601?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.32595 + -1.31\nAnswer: 0.01595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-4)\/3*1701\/(-14). Let l = -66 - i. Suppose 0 = 7*v + 4*v - l. Put 0.2, 1, v, 5 in decreasing order.\nAnswer: v, 5, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/2 + 131*f**4\/2 - 3201*f**3 + 68607*f**2 - 1042173*f\/2 - 1185921\/2.\nAnswer: -(f - 33)**4*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.34 + 5.66. Let k = -3 - y. Let j be (-4)\/(-10) + 2\/(-5). What is the second smallest value in k, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2921660566.\nAnswer: 2, 11, 463, 286831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 6. Let n(l) be the second derivative of -11*l**3\/6 + 11*l**2\/2 - 2964*l. What is 2*n(w) - 5*p(w)?\nAnswer: 3*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-2)\/((-12)\/10). Let p be (-44)\/(-52) - (-10)\/65. Suppose -2*v - p = m, 4*m - 3*v = -7 + 25. Solve -2*y - m - b = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 5*j + 208 = 239, -3*j = 5*n - 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 > 876\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*i + 1095 = -459 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-234)*3\/(-10)*(-6)\/(-10).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5731 - 2*f**2 - 5737 + 11462 - 374*f + f**3 in the form c*f + l*f**2 + h*f**3 + i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32736 and 102300.\nAnswer: 818400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 711, 1670, 3023, 4776?\nAnswer: 6935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*r - 6 + 2)*(r - 8*r - 5*r).\nAnswer: -24*r**2 + 108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12991*r**2 + 6*r - 4*r + 150 + 12988*r**2 - 3*r**2 + 2*r**2 + 0*r**2 + (-4*r + r + 4*r)*(-1 + 1 + 2*r).\nAnswer: -2*r**2 + 2*r + 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 72 = 2*j. Let o be 2\/(-12) - 412\/j. What is the highest common divisor of o and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 k when four letters picked without replacement from {k: 3, p: 13}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -23890605 less than -23890605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -2\/3, -2, 0.37796, 0 in ascending order.\nAnswer: -2, -0.9, -2\/3, 0, 0.37796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(342) - -3*sqrt(342))\/sqrt(6))\/sqrt(3) + 4)**2 - (0 + (0 + sqrt(19) - sqrt(19)) + -4 + 2).\nAnswer: 32*sqrt(19) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32920579409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + 16*j = 45*j - 42 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/19)\/h)\/h*h**(-17\/2) assuming h is positive.\nAnswer: h**(-403\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/598 and -87\/19942?\nAnswer: 458666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/8)\/(6\/(-24)). Factor 16*d - x*d**2 - 7*d - d + d**2.\nAnswer: -4*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 594749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/171792 and -76\/5067?\nAnswer: 96718896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3178 - -3183. Which is the third biggest value? (a) 0.7 (b) p (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjmyovvmommomymnjy. Give prob of picking 2 y and 1 m.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37332 is divided by 322.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 851\/(-444) - (-14)\/1344*8.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18672400 or 112034395\/6?\nAnswer: 112034395\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 12. Let y(j) be the third derivative of -j**4\/24 + 19*j**3\/3 - j**2 + 15*j. Let k(a) be the first derivative of y(a). Give h(f) + 12*k(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 7:06 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_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: Two letters picked without replacement from ffrr. What is prob of picking 1 r and 1 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 3 + 13)*(-227 - 13*z**2 + 227) + z**2 + 0*z**2 + 2*z**2 + (-2 + 2 - 2*z)*(2*z - 5*z + 5*z) to the form k*z + r + g*z**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.19349, -2, 2, -2\/19?\nAnswer: -0.19349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-10)*142\/(-19880)*-200?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:07 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 323?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916 + d - 1833 - d + 917 + 14*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {a: 2, o: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let d(m) = m**2 - 3. Let a be d(-6). Let g(k) = -17*k + 4 - 2*k**2 + a*k - 21*k + k**3. Let y(z) = -g(z) - 4*l(z). Give y(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*q**5 - 30870*q**4 - q**2 + 266*q - 40725 wrt q?\nAnswer: -720*q**3 - 370440*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719613419 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n - 3*p - 7631, 2*n - 3*p + 3065 = 0. Let z = n - -3087. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 10. Let m(o) = 4. Let s(a) = -2*f(a) - 5*m(a). Let k(i) be the first derivative of -i**3 + 1 + 4*i**3 - 1 + 1. Give s(k(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2488.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7704869017.\nAnswer: -7704869017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1452792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2841 - 2836. Solve c - 9 = -q - m, -2*q + 9 = 3*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4291*p**5 - 3086*p**2 wrt p.\nAnswer: 257460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 38 (b) -1 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 2\/7, -0.4, 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 327?\nAnswer: 13.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141882 and 28288?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiuttiitti. Give prob of picking 2 i and 1 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 21. Suppose 8*j - 3*j + 5*j = g. Suppose k**3 + 4\/3*k - 1\/6*k**4 + j - 2*k**2 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*s = -11*l + 12490, 5*l - 12500 = -s. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-6))\/((-1)\/(-3)))\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = 5213 + 136903. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -963 * 209610.\nAnswer: -201854430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 231572035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 - 5?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 150\/18*(0 - -5 - 2). Suppose -w*c = -22220 - 530. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29802783, 59605571, 89408361, 119211153, 149013947?\nAnswer: 178816743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 3*a**3\/2 - 45*a**2 - 2*a - 506. Determine p(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*f = -18, 2*f - 15 = -2*n - f. Suppose 2*q - 35 = -q - 2*g, 43 = n*q + 4*g. Solve 4*x - q*x + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 + 5*n**4\/24 - 5*n**3\/6 + n**2. Let m be p(-5). Is (1 + (-36)\/3)*m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5132479 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/21*(-287)\/410.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 13*n**2 + 5*n + 86. Calculate z(-13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.5 (c) 520007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a - -87?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 86*r - 2. Let c(u) = -174*u + 5. Let f(j) = -7*b(j) - 3*c(j). Is f(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01429 and -13946.\nAnswer: 199.28834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1222, 1939, 7208, 14585, 24070, 35663?\nAnswer: 49364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 17. What is the remainder when 114 is divided by f(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354814.31 rounded to the nearest 1000?\nAnswer: 1355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/4 - i. Let g be (-3)\/(-5) - (-14)\/10. Let f(u) = 5 + 3 - 8 + g*u. Give f(s(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5775845 and 6.\nAnswer: 34655070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 1115*b**7\/42 + 4*b**3\/3 + 195*b**2\/2 - 2591*b. What is the second derivative of r(h) wrt h?\nAnswer: 22300*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11359 - 4.\nAnswer: 11355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1891, 194.3, -1 in descending order.\nAnswer: 194.3, -1, -1891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 7:33 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 24 + 28 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y + 0*y)*(-3 + 2 + 3)*(-y + 4*y + y) + (9*y + 5*y - y)*(4 - 4 - 3*y) - 2 + y**2 + 2 + (2*y - 1 + 1)*(2*y - 3*y - y).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -501\/8 - -42569\/680. Let j = p - 81\/170. Let u = -75\/7 - -1111\/105. Put j, u, 4 in decreasing order.\nAnswer: 4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -842 smaller than -844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + 55?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.02 (b) 0 (c) -2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 211.2626.\nAnswer: 217.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y + 4*y + 11*y in the form g*y + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*(1120\/525 - (-2)\/(-10)*(-30)\/(-45)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.313 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2978 at least as big as -2972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -220\/34093?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 37*v**3 - 2*v**2 + 4*v - 8. What is the remainder when w(2) is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6034667271 to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**2 - 9. Let p be 5*-3*6\/(-45). Let s(w) = p*w - 5*w + w. Give k(s(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 44 - 20*b)*(-3 - 3 + 1)*(-4*b**4 - b**4 + 0*b**4) + (-11*b**2 + 11*b**2 - 7*b**4)*(4*b - 2*b + b).\nAnswer: -521*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1023 + 13331650?\nAnswer: 13330624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(2*sqrt(99)) + sqrt(15)\/sqrt(45)*5)**2.\nAnswer: 121\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45, -71, -71, -45?\n\"Answer: 13*k**2 - 65*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 4*t - 1. Suppose -4*p + 20 = h, 0 = -p - 2*p + 3*h. Let d be i(p). Which is the biggest value? (a) -1\/6 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(405)*2)\/sqrt(9))\/(5*sqrt(18)\/sqrt(2) + sqrt(144)*1) + -1)*-1.\nAnswer: -8*sqrt(5)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2186?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003894860218 to seven dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -38. Which is the nearest to 1\/4? (a) -2\/11 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 47*w. Let o(i) = -4794*i. Suppose 4*x + 33 = -3*h + 15, -4*x = -3*h + 30. What is x*o(j) - 611*q(j)?\nAnswer: 47*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssyiynnsn. What is prob of picking 2 s, 1 i, and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*k - 13 = 0, -4*u + 4*k + 13 = -23. Does 53 divide (-1)\/(-4) - (-1270)\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473879 - 473879 + 571*z.\nAnswer: 571*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 1. Let d be j(5). Suppose t = 4*x + 17, 0*x - t - 28 = 5*x. List the prime factors of 7\/(28\/d) - x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -306*v + 1088. Does 36 divide u(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274662 and 144036?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/1 + 115\/23. Which is the biggest value? (a) 1\/3 (b) h (c) 0.032\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 6. Let b be x(-10). Suppose -b*u = -2*u - 216. Suppose -k = -w - 2*k + 22, 0 = 5*w + 4*k - u. Solve -5*r - 4*i = -r + w, 0 = 5*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/16)\/(9\/12). Let g = 8 - 5. Solve -10 = -t - t - 3*n, 0 = g*t + u*n - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-322)\/230)\/(7\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767135709.\nAnswer: 3, 167, 510403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1263284, 1263278, 1263270, 1263260?\nAnswer: 1263248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*w - 3*k + 25, -3*k = 5*w + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-15) + 1\/(-5). Is 14 a factor of 4\/(t*1\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - -51 - (1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9b7 - 16965?\nAnswer: -1764c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2. Let v(l) = 3*l**2. Suppose -4 - 8 = 3*y, 0 = 3*g - y - 49. Suppose 21 = -4*j - q, 3*q + 0*q - 9 = 0. Determine g*v(i) + j*f(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.63128l?\nAnswer: 2631.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -7*q**3 + 23*q**2\/6 + 18*q + 14\/3 = 0?\nAnswer: -7\/6, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11904467 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11856 is divided by 475.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*k - 7 = 4*a, 21 = -3*a + 2*k. Let r = 0 + 0. Put -3, r, a in descending order.\nAnswer: r, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12101.38 to the nearest 100.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9340645591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-70)*95\/1. Are -57 and s unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 23 = 5*l + 3, -2*k = -2*l - 4. Let p be (-3)\/l - (17 + -24). Solve 0 = 6*d + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 44*s - 4858. What is z(108)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(612) - (sqrt(612) + 2 + 0 + sqrt(612))) - ((sqrt(17)*-2 - sqrt(17))*-1 + -4 + -1 + sqrt(17) + -3).\nAnswer: -10*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -75217427.9 rounded to the nearest ten thousand?\nAnswer: -75220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*t**3 - 263*t**2 - 281*t = 0. Calculate t.\nAnswer: -1, 0, 281\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 124954547 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:07 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -481 - -484. Solve a - v = -0*a, -p*v - 1 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 6, -4, -46, 0.\nAnswer: -46, -20, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104790, -209654, -314536, -419436, -524354?\n\"Answer: -9*h**2 - 104837*h + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 - 2*w + 9*w**2 + w**2 - 36 + 37 - 2*w**2. Let n be 2\/7 - (-10)\/14. What is the units digit of f(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 3. Let t be n(-2). Let m = 213 - 165. What are the prime factors of 2080\/m + (-2)\/t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -4, -0.1, 10\/7, -1.8, -2\/217?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k + k**2 - 7\/2*k**4 - 7 + 0*k**3. Give o(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 2606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from nuunnun.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 2*b + 0 - 5*b + 8. Suppose 0 = 58*i - 59*i + 6. What is x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/24 and 13\/11858206?\nAnswer: 142298472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3707780, -7415589, -11123398, -14831207, -18539016, -22246825?\nAnswer: -25954634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 17*z**2 + 62*z - 131. Calculate the smallest common multiple of 231 and q(18).\nAnswer: 3927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 4769034.\nAnswer: 1\/794839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from lltllrltllrtntbl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17046445, -17046446, -17046447, -17046448, -17046449, -17046450?\n\"Answer: -j - 17046444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 7:11 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39462494537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 + 4*k**2 + 5*k**2 + (-2 - 2 + 5)*(0*k**2 + 0*k**2 + k**2))*(-4*k - 2*k + 5*k)*(473 - 473 + 120*k).\nAnswer: -480*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osss when four letters picked without replacement from ooosoosooso?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/7)\/g*g**0*g**4\/(g*g*g**(-2)*g) assuming g is positive.\nAnswer: g**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 28766.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -641*o - 37254. Give v(-59).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -51, 2\/3, -14, 5, -0.1, -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 366 and 3.\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*c + 22, 3*n + c = 8*n - 32. Let d be (-12)\/n*2*-1. Let a = d - 1. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let r = a + 0.5. Let d be (-4)\/8 + -4 + 4. What is the nearest to 1\/2 in r, d, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/3523 - -7041\/17615. Sort 3, 12, z, -5.\nAnswer: -5, z, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 58*y**2 - 15*y - 69. Give z(-28).\nAnswer: -1217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90519, 90518, 90517, 90516, 90515?\n\"Answer: -u + 90520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(9\/2 + -3). Let u(p) = p - 2*p - g - 3 + 1. Determine u(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*x + 2, -5*d + 0*d + 3*x + 3 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308377856 a multiple of 2064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anyqqfnaaqffnqnnny. What is prob of sequence ffqy?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 537962.2 litres to millilitres.\nAnswer: 537962200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283 - 57 - 2*a + 16*a**2 - 14*a**2.\nAnswer: 2*a**2 - 2*a - 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:39 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Suppose -3*z - 15 = -6*z. Suppose 0*r - z*r - 1 = -4*j, -2*r = 2*j + t. Is j greater than -1\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 930*x + 4625.\nAnswer: (x + 5)*(x + 925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*k - 35 + 2, 3*k - 4*h - 46 = 0. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29568 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {p: 1, f: 2, h: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 5. Let a(l) = 2*l + 4. Calculate -2*a(m) - 3*o(m).\nAnswer: 5*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m - 6. Suppose 0 = 2*y + y + 27. Let g = y + 4. Let f be d(g). Let t(h) = -2*h**2 - h - 1. Calculate t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose -f + o = -2. Suppose 3*a = -5*u + 17, -f*u - 18 = 7. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145, 513, 881, 1249?\n\"Answer: 368*u - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r, 6*v - r = 2*v + 237. Calculate the highest common divisor of 330 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18653 - -26504. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/3)))\/(f**(-4\/17)\/f) assuming f is positive.\nAnswer: f**(97\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.025.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.7 - -1.3. Let q be 4\/5*20\/12. Which is the closest to -0.1? (a) q (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -4*i - 6, i + 0*i + 2 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 17*c - 5*c)*(4*c - 4*c + 3*c).\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 1. Let o(m) = -4*m - 2. Suppose 0 = 5*t + 8 + 2. Suppose 0 - 4 = 2*i + 2*u, -2*u = 2. Give i*o(l) + t*b(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -43. Let t(m) = -2*m - 5 + r*m + 5. Let g(b) = -b**2 - 2*b + 2. Let a(l) = -2*l**2 - 7*l + 7. Let n(v) = -2*a(v) + 7*g(v). What is t(n(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1060260 by -12.\nAnswer: -88355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 110654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.44 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13128.9999976878 + -13129. What is j rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -3. Put 2, 0, k in ascending order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, t: 1, f: 2, n: 3, c: 4, k: 5}. What is prob of picking 2 u?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24\/5, 0.1, -50\/51?\nAnswer: -50\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 11*d - 15*d. Let o be d\/(-65) - 6\/(-39). Suppose 2*f + 0*f - 5 = -z, -2*f + 5*z = o. Calculate the smallest common multiple of 3 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 675\/315*(-14)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1174451*k + 1174451*k - 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1892816*a - 14*a**2 - 1892816*a.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose -2*j + r = -5*j - 4*p, 4*j - 4*p - 40 = 0. Suppose -j*u + u = -24. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/22 - 1\/(-2). Let i = -17599\/44 - -400. Let j = w + i. Which is the nearest to j? (a) 4 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000264511625 rounded to seven dps?\nAnswer: 0.0000265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o - 13*o - 31*o.\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q + 24. Suppose 4*w = h - 0*h - 59, -5*h = -w - 29. Let p = -3 - w. Calculate the remainder when p is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101212 + -12123211?\nAnswer: -12231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - -4)*9\/(-4). Suppose 5*r = x*r - 20. Let l(t) = 12*t - 2. What is the tens digit of l(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39 - -6542.3491?\nAnswer: 6541.9591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*k - 25 = -1, -5*i = -5*k. Let m(n) = -13*n + 1. What is the tens digit of m(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 2. Let o be c(0). Let a be (2 - (o - -19))\/(-1). Suppose -h - h + q + 18 = 0, 2*q - a = -h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j. Let a be ((-3)\/2)\/((-3)\/6). Suppose 0 = -3*v - a. What is z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y + 1. What is w(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 375*b + 13522. Calculate d(-36).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*h**2 + 1198 - 30*h**3 - 12*h**2 - 1198 - 56*h**2 wrt h?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 42973629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f**2. Suppose 0 = -3*j - 10 + 4. Let h(n) = -n - 1. Let b(s) = j*h(s) + d(s). Give b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 158*((-5)\/(-2) + -2). Suppose -5*b = 4*n - 0*n + 155, -2*n - b - f = 0. What is n rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 10*g + 30. Solve -g = t + 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i + 5*y - 7 = 36*i, 5 = i + 4*y. Which is the second biggest value? (a) 0.5 (b) -2\/17 (c) 11\/4 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976\/(-300) - (432\/(-225) - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 178, 1859, 4646, 8527, 13490, 19523?\n\"Answer: -2*q**3 + 565*q**2 - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37671.6ng in grams?\nAnswer: 0.0000376716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 1256*w**2 + 9*w - 1255*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -22*w**7\/21 + 13*w**3\/6 + w + 21. What is the second derivative of k(z) wrt z?\nAnswer: -880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 38*h**2 + 48*h + 281. Calculate v(-33).\nAnswer: -6748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d + 2308 = 4*z, -4*d = 16. Let c = -311 + z. Calculate the least common multiple of c and 7.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2. Let u(h) = -2*h - 3. Suppose q + 3*r = 45, 155 = 5*q + r - 0*r. Suppose -v - q = 5*v. What is v*j(o) - 4*u(o)?\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*sqrt(36) + sqrt(36))\/(sqrt(432)*5).\nAnswer: -7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5.999983. What is f rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p + 12994 = 12220 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:36 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.1 (b) -0.07 (c) -2\/587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrxulcx. What is prob of sequence xcu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45325 - 27618. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42290\/7 + 6054. Let n = -13 + m. Let q = 0.1 + 0.4. Which is the second smallest value? (a) q (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 523532 (base 9) to base 8\nAnswer: 1137314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6243064 (base 7) to base 8\nAnswer: 2671153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*k - 2*s, 36 = 5*k - 4*s + s. Suppose -3*h + 3 = -k. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -2\/63 (c) 23 (d) -3\/44 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1482568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0143 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 6:04 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 818.2201l?\nAnswer: 818220.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011100 + 11?\nAnswer: 1110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 208, 0.3 in descending order.\nAnswer: 208, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.809448us to milliseconds.\nAnswer: 0.005809448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*c - 199.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**4*y**3 - 2*l**4 - 133725*l**3*y**2 + 6311*l**2*y**3 + 245*l**2 wrt l?\nAnswer: 96*l*y**3 - 48*l - 802350*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7288 is divided by 85.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012260899 rounded to 6 dps?\nAnswer: 0.001226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1326*x**3 - 2566*x**2 - 4*x + 6. What is f(2)?\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3 + 0 + 45*n + 3*n. What are the prime factors of b(3)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-88) + (-2)\/11. Let l(s) = s - 5. Let f be l(0). Which is the smallest value? (a) 4\/7 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1188) + sqrt(1188)*-1)\/(2*sqrt(147)) - (sqrt(44)*2 + sqrt(44) + 5)*-3)*5.\nAnswer: 75 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 6*s - 3*s - 450*s**2 - 3*s.\nAnswer: -450*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7780391.88 rounded to the nearest ten thousand?\nAnswer: 7780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 76.66 and -11?\nAnswer: 87.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 136, 99, 0, -191, -504, -969, -1616, -2475?\n\"Answer: -5*l**3 - l**2 + l + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -174 - -87. Let r = -85 - c. Suppose v - 4*v + 5*p = -7, r*p - 44 = -4*v. What is the least common multiple of 27 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let x(w) = -2*w - 3*w + h - 2. Let c(z) be the first derivative of z**3\/3 - 7. Determine x(c(g)).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193 is divided by 81.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -307*n**4*v**3 - 2*n*v**3 + 6*n*v**2 - n*v wrt n?\nAnswer: -3684*n**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -170?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 4*c - 44. Let g be f(9). Let s be 2*g\/30*3. Solve 3*t + 38 = s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.578563 to 2 decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-56))\/((-218)\/(-20)). Let q = h - -22469\/1308. What is the common denominator of 6\/(-21) + (-202)\/(-28) and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*y - 3*x, -4*y + 2*y = -4*x + 16. Let h(j) = j**3 + 18*j**2 + 5*j + 85. Determine h(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2041366 - 13?\nAnswer: 2041353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31)\/(-5) - (12\/10 + -1). Let l(p) = p - 1. Determine l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 2\/9 (b) 4\/7 (c) -0.4 (d) 0.1 (e) 319\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 1. Let m(r) be the first derivative of -9*r**4\/2 - 2*r**3\/3 + 7*r - 3. Let p(o) = m(o) + 2*x(o). Find the first derivative of p(c) wrt c.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-6))\/((-57800)\/(-964104))\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.23 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 736 divided by 293\nAnswer: 736\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1910 by 260280.\nAnswer: -191\/26028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - 3 - (-4 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88313 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1573\/(-44) - (-1)\/(-4). Find the common denominator of 19\/20 and -4 - ((-350)\/m)\/7.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 e, and 2 y when four letters picked without replacement from yywytyyyewyyewyqwqe?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 19*t**2 + 13*t + 53. Let i(a) = -9*a**2 - 6*a - 27. Calculate 13*i(m) + 6*o(m).\nAnswer: -3*m**2 - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h - 1. Let n(w) = -w. Let b(i) = 3*n(i) - v(i). Let u be b(-1). Suppose 440 = o - u*o. Round o to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 162 or -1.51?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (284\/71)\/((-2)\/((-2)\/1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1*(-25)\/10*(-168)\/5250\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 q, and 1 m when three letters picked without replacement from {c: 2, n: 2, s: 6, m: 1, q: 4, k: 4}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 27*c + 15. Give x(-27).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17*p - 4. What is q(2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 3. Let w(t) = t**2 - 10*t - 3. Let m be w(10). Let b(x) = x + 1. Suppose 6 = -3*q, 4*h + 5*q = -24 - 14. Give h*b(s) + m*c(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2806 a factor of 57175056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 2:00 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0601*-164473\nAnswer: 9884.8273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23235 and 232350.\nAnswer: 232350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 53 - 28. What is the remainder when 22 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2 + 1951*m + 1965*m - 3917*m. Let g(l) = -l + 1. Determine 5*g(a) - 3*y(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771 + 457*v**2 + 143 - 289 - 426*v**2.\nAnswer: 31*v**2 - 917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -28*w. Let l(x) = -786*x**2 + 412*x**2 + 417*x**2. What is l(f(t))?\nAnswer: 33712*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16947962 divided by -5?\nAnswer: -16947962\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35316961*w**3 + w**2 + 168281528*w wrt w.\nAnswer: -211901766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxxisxxmxxxxxx. Give prob of sequence mimx.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 79*t**2 - 45 + 32.\nAnswer: 79*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -5 - (13 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + sqrt(304))**2 + sqrt(1900) + 0.\nAnswer: -30*sqrt(19) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125.124453us to days.\nAnswer: 0.0000000014481996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 207*m + 49. Let q be p(3). Let d = -31 + q. What are the prime factors of d?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51 + 155 + 26 + 257 + 658*o - 652*o to d*o + p and give p.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3*h**2 + h. Let b be x(3). Let l(y) = y. Let j be l(4). Suppose -5*g + 50 - 6 = -q, -g = j*q + 8. Solve -b*c + g*c + 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -157, -225, -293, -361, -429?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 2*h**2 - 3*h**2 - 59*h**2 + 75*h**2 - 79*h**2 + (3*h - 3*h + 4*h**2)*(-1 + 4 - 2).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -681 >= -696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4441770 rounded to the nearest 100000?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 8*t + 3*s + 44, -25 = 4*t + s for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 9.999952. What is g rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -10 + 12 + -3 + -5 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6053694 meters?\nAnswer: 60.53694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**3 + 3*o + 9. Let z(p) = -4*p**3 - p - 4. Determine -2*a(n) - 5*z(n).\nAnswer: 2*n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12996850*-0.19\nAnswer: 2469401.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 7*t**2 + 5 + 6*t**2 - 16*t**2 - 4.\nAnswer: -14*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 6*k**2 - 7*k + 9. What are the prime factors of l(5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 57.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-20)*42 - 8.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/(-213325)*-10)\/((-1)\/(-7))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -2\/17, -0.1, -26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*d + 24 + 26 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.152 and 128617?\nAnswer: 128620.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12545 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -51 - (20551 - 20640)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, 1\/22, 48\/13 in increasing order.\nAnswer: -57, 1\/22, 48\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 133. Let g(b) = 132. Let t(x) = 4*g(x) + 3*k(x). List the prime factors of t(0).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12007398*q**4 + 5840389 wrt q?\nAnswer: -48029592*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.3323 minus 0.04?\nAnswer: 668.2923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19733, -20006, -20265, -20504, -20717, -20898, -21041?\nAnswer: -21140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35508 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -45*q**2 - 12*q - 12. Suppose 73052*x - 73071*x = -19. Let m(i) = i**2 - i - 1. Determine x*o(t) - 12*m(t).\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13890142081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2800, -74 in descending order.\nAnswer: 2800, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:56 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5608621100 to the nearest 1000000.\nAnswer: -5609000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/4, -0.9, -0.1, 370, 84.\nAnswer: -0.9, -0.2, -0.1, 1\/4, 84, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10059889651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3841\/1170 + -35\/234. What is the common denominator of 76\/45 and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 997, 985, 967, 943, 913, 877?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 13641 and 0.054183.\nAnswer: 13641.054183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-6 - 1960\/(-326)). Let k = -829 - w. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20716 is divided by 351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 61 + 4 = 0. Let w = -14 - f. Suppose -2*a - 207 = -w*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**4\/4 + m**2\/2 + 38*m - 7. What is the tens digit of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10170 and 66105?\nAnswer: 132210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 3 (b) 17 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 - 38.009. Let n = 25 + m. Let t = n + 12.61. What is t rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 9*p**2 + 2*p - 10. Let t be -2 + 10 + (-6)\/(-6). Let y be s(t). Let l(a) = -a + 10. What is l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 56*g**2 + 9*g + 507. Let z be i(-56). Solve 3*m - 4*t = 7, 3*m - z*t = -8*t + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 11:35 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*a + 9\/5 - 6\/5*a**2.\nAnswer: -3*(a - 1)*(2*a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 divided by -2510?\nAnswer: 289\/2510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = -9. Suppose -3*y - b = t, 4*t - 3*y = 3*t + 9. Suppose h - t*h = 2*i + 4, 7 = -5*i - 4*h. Solve -i = 5*q + 24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 4*o**4 + 2*o**2 - 5*o**4 - o**3 + (82*o**4 - 23676*o + 23676*o)*(1 + 2 - 2) as m*o + j*o**2 + k*o**3 + w*o**4 + y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 77*a**3 - 5*a**2 - 3*a + 4. Let q be (-1 - 6\/9)*(-30)\/50. Let f be r(q). Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let b = 42 - 45. Is l greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 21*b**3 - 694*b**2 + 32*b + 41. Calculate o(33).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 4 + -2 - (-32 + 13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 670*i - 3985. Determine l(-6).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6135365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -474 (base 15) to base 16.\nAnswer: -3f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -452.2 - -452.2000436. Round b to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 7 + 56)*(2*d + 19 - 17 - d) as z + x*d and give z.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -16, -21, -12, 17, 72?\n\"Answer: c**3 - 2*c**2 - 14*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 596*j - 591*j = -39, -27*j - 170 = -5*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 + -2. Let o = 898 + -895. Which is the nearest to o? (a) -3 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 162*p - 315*p - 2*p**2 - p**2 + 429*p as c + t*p + f*p**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57213907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 697470848*b**3 + 697470985*b**3.\nAnswer: 137*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 47 = 241. Which is the third biggest value? (a) -2 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29868600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*u + 3*g - 18224 = -131*u, 4*u + 2*g = 14578. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320761 times 6.1?\nAnswer: 1956642.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1a7c (base 14) to base 13\nAnswer: -2264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r = -32*r + 30, 97*x = 188*x - 94*x - 5*r - 0*r + 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.15 (b) 105 (c) -28\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*m + 798, 3*m + 6 = 3*r - 1149. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 30*q**2 - q - 14. Determine r(-30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3*t + 291, -28393 = -4*a + 4*t - 28677 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11914710*v**2 + 23829589*v**2 - 11914881*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((-201)\/(-66) - 3). Suppose -d = -12*f + 11*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -44*x + 5. Suppose 5*g = 5*s + 10, 5*s + 5*g = -4 - 6. Is 12 a factor of l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -237*r**2 - 671*r - 1456. Let p(m) = 105*m**2 + 336*m + 729. Let u(a) = -9*p(a) - 4*y(a). Find the first derivative of u(g) wrt g.\nAnswer: 6*g - 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 - 3*n**3 + 4*n**3)*(-2074*n - 3 + 2102*n - 2) to t*n**2 + z*n + j*n**3 + s + m*n**4 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2171\/312 + (-2 - -30)\/(-4). Which is the second smallest value? (a) -2\/3 (b) f (c) 1 (d) 0.4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*r - 21*r = -5*r + 419 + 855 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -666, -369 in increasing order.\nAnswer: -666, -369, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2361387 and 95151.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064506675 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42353 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, -2, -3\/7, 90, 0.08 in descending order.\nAnswer: 90, 0.08, -0.17, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oioohohwosoi. What is prob of sequence hiw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6282, -13246, -20214, -27186, -34162?\n\"Answer: -2*l**2 - 6958*l + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*l + 75*l + 72*l - 58 - 56 - 247*l to n*l + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8064)*2*-4)\/(-1*4*sqrt(48)\/sqrt(6)) + -4.\nAnswer: -4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698 = 40*m - 422 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (64\/48)\/(2\/3). Suppose -n + h = -2*n. Let q be (-28)\/(-7) - (-4)\/n. Solve 0 = -2*t + q*p - 3*p + 7, -4*p = 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 6. Let r be j(-9). Let k be 9\/r*(-12586)\/(-6). Let o = 1557 + k. Find the common denominator of -56\/3 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2347*j + 16890*j - 1978*j + 1306760 for j.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**4\/12 + 5*f**3\/6 + f**2 + 4*f. Let y be h(-4). Let x(w) = -w**3 - w**2 - 2. Give x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.807377249554 from 1.\nAnswer: 1.807377249554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 14. Let a = -2 - t. Let m = a - 10. Solve 2*h = d + m, 5*d + h = -h - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4 and -41\/43279?\nAnswer: 173116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {q: 3, k: 12}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.1 take away 35?\nAnswer: -270.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1051543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3358569 + 3358566 - 10075764 + r + 3358629.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -34, -1\/3, -210\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15423098 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/4*40\/(-25). Let u be 1\/(1\/w) + -2. What is the derivative of 2*y**2 - 5*y**2 - 1 + 2*y**2 - u*y**2 wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 28\/4 + 0. Calculate the least common multiple of (k - 2) + 0 - -1 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9657 - 0.0343. Put -0.1, 0.1, s, 0.3, 0.7 in increasing order.\nAnswer: s, -0.1, 0.1, 0.3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132772 and 3015322.\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737113?\nAnswer: 13, 56701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 120 - 13 = -5*z, -3*k - 5*z = -349. Suppose k = -4*u + 28. Let m = -12 - u. Solve -l = l - m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -9.49 (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -t + 3*g, 6611*t = 6607*t - g - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133599 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/13 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (3 + 4 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 15*l - 167. Determine z(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8519520?\nAnswer: 2, 3, 5, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3947709 - -2?\nAnswer: 1.6052291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (3 - -7)) + -17 + 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + 2 - -7) - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x + 5 = 0. Calculate the smallest common multiple of 9 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 100, 410, 926, 1648, 2576, 3710, 5050?\n\"Answer: 103*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -108632 bigger than -108632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h. Let i(a) = -83605*a. Determine k(i(p)).\nAnswer: 334420*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 113.6423ml?\nAnswer: 0.1136423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m**2 + 49\/3*m**3 + 13*m**4 + 4\/3*m + 10\/3*m**5 + 0 = 0. What is m?\nAnswer: -2, -1, -1\/2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 83?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + -2*1*sqrt(90) - sqrt(90))\/(1*sqrt(300)))\/(6*(sqrt(810) + 1*sqrt(810) + (sqrt(90)*5 - sqrt(10)))).\nAnswer: -sqrt(3)\/960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 21651*w**3 + 64896*w**2 - 216420*w.\nAnswer: 3*w*(w - 2)*(w + 5)*(w + 7214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996135.\nAnswer: 5, 399227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -1\/3600, 3 in ascending order.\nAnswer: -1\/6, -1\/3600, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**46\/(o**(-2\/7))**(-12)*(o**6\/((o*o\/(o\/((o\/(o*o**(1\/4)))\/o)))\/o))**50 assuming o is positive.\nAnswer: o**(23847\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -261.088091?\nAnswer: -258.088091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, o: 4, q: 2, r: 4, v: 1}. Give prob of picking 1 o and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12 + (1 - 470\/280)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 f when four letters picked without replacement from zffzffzfff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 21*g**2 + 855*g - 2588. Determine l(3).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 2513164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:33 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.99 - 0.01. Let w = x - -34. Does w = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3243, -2\/5, -9 in decreasing order.\nAnswer: 3243, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13973*z**3 - 9*z**2 - 22508*z + 9. Let u(w) = 3493*w**3 + 2*w**2 + 5624*w - 2. Let s(i) = 2*t(i) + 9*u(i). Find the second derivative of s(c) wrt c.\nAnswer: 20946*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 2*j**2 + 12. Calculate m(-3).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -19*f - 7. What is the lowest common multiple of x(-1) and 12*(-1 - -2) - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60\/13 + 514\/117. Let w = 60.71 + -61. Let n = w + -0.01. What is the closest to 2 in t, n, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 - 17*i + 25. Let z = -18 + 33. Is q(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*f + 12 = -277*f. List the prime factors of (-12)\/14*(f + -233).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 12. Let y be m(13). Let g(s) be the third derivative of 1\/6*s**3 + 0*s + 0 + 85*s**2 - 11\/24*s**4. Determine g(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -155*f**3 + 5835*f**2 - 67720*f + 229740 = 0.\nAnswer: 6, 14, 547\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -2*m**5 + 11*m**3\/3 + 7. What is the third derivative of i(u) wrt u?\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2234704291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 3, 292, -14 in increasing order.\nAnswer: -14, -2, 3, 8, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 15c77d?\nAnswer: 15c77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 2*u**2 + 4*u + 4. Give a(-5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*t = 4*t + 2, -2*s - 5*t - 1 = 0. Let u(d) = -2*d**2 + s*d**2 + 4*d**2 + 2*d - d. What is the units digit of u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 7*a**2 - 5*a - 7. Let p be d(5). Suppose -p = -2*w - w. Calculate the highest common divisor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 4:01 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**2 - 16*r + 11. Let z(c) = 4*c + 31. Let q(g) = -5*d(g) - 3*z(g). What is the derivative of q(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:34 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136864 is divided by 1649.\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82.11 - 82.092525. What is u rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odiiiffir. What is prob of sequence rd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112730 divided by -49.\nAnswer: 112730\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {p: 10, r: 2}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-72)*-57*-116. Which is smaller: u or 2754?\nAnswer: 2754","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.32999 and -13.\nAnswer: 4.28987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 807717 and 259.\nAnswer: 807976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - h + 325. Let r be o(0). Suppose -4*s + r = s. Does 5 divide s\/10 - (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinsz. Give prob of sequence ss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 - 216. Let i(c) = 76*c**2 + 74*c**2 - 149*c**u. Let b(g) = 81*g. What is i(b(a))?\nAnswer: 6561*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**3 + 41*r**2 + 3903*r. Let n(z) = -5*z**3 - z**2 - 2*z. Let u(v) = n(v) + y(v). What is the second derivative of u(l) wrt l?\nAnswer: -72*l + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 58033.3436.\nAnswer: -58039.3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 3*m**2 - 3*m. Let v be 0 + 1 - (-4)\/2. Suppose -v = -z + 1. Suppose z*f + 4 = 2*u, -5*u = 3*f - 2 - 8. Determine k(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9908 - 9993.98. Round f to the nearest integer.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 10*l - 10. Determine s(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-13))\/(6\/6).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(99))\/((sqrt(9)*-2 + sqrt(9))*4) + -4 + -4)**2.\nAnswer: -40*sqrt(11) + 531\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 578 + 718. Let g = n - 63. Suppose -g = -3*i + 5*l, 7*i - 97 = 3*i - 5*l. What is the remainder when 109 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 0*j + 18*j**2 - 9*j - 20*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030318 at most as big as 1030316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)*s*s**(-1\/3)*(s*(s*s\/((s\/s**(4\/9))\/s))\/s)\/s*(s**6*s)\/s assuming s is positive.\nAnswer: s**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 4232916*k.\nAnswer: k*(k + 4232916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 28*h + 7 = 0. Let s be (-3 - h) + 10*3\/6. Solve -c - 5*q = 7 + 9, 0 = -s*c + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 852?\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540789.\nAnswer: 3, 180263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 627802560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**7\/630 - c**6\/360 + c**5\/120 + c**4\/8 + c**2. Let z(u) be the second derivative of y(u). Determine z(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3 + 36*y**2 + 25*y + 1. Let l be m(-11). Solve -3*p + 3 = -l*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/9*-18 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/30 + 3*h**2. Let p(v) = 18*v. Calculate y(p(d)).\nAnswer: 648*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 519.02 + -519. Put -0.8, l, -3 in increasing order.\nAnswer: -3, -0.8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -17, -51, -107, -185, -285, -407?\nAnswer: -551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1) + (-4)\/(-1). Suppose 4*n - l = 21, 4*n - 9 = n + t*l. Suppose -3*r + 27 = n. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**2 - 1 + 4 + 2*b**2 + 1. Let m(t) = -6*t. Calculate f(m(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 5*f - 10. Let r be (-10)\/3*(-37 - -13). Let v = r + -16. Suppose 0 = g + 57 - v. Calculate o(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 6*n + 20. Let u = n - -28. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 10*s + 142. Give o(-17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjffjqvnfqjrqqqqjqf. What is prob of sequence jj?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l**4\/17 + 52352*l**3\/17 - 62790*l**2\/17 - 94216*l\/17 + 20936\/17 = 0. Calculate l.\nAnswer: -1, 1\/5, 2, 5234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9682000*s**2 - 85*s - 425. Let d be r(-5). What is d rounded to the nearest one million?\nAnswer: -242000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18528 divided by -3088?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1100) + 5 + sqrt(1100))*3)**2.\nAnswer: -1800*sqrt(11) + 39825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = -3*u, 6*u + 13 = 7*u - 2*z. Solve u*t = 3*k + 18, 4*t - 29 = 4*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + p - 1. Let j(z) = 2*z**2 + z + 3. Let d(v) = -3*v**2 - 2*v - 3. Let m(s) = 3*d(s) + 4*j(s). Let h = -464 - -465. What is h*m(k) + 3*i(k)?\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 4*c + 17*c = -11*c. Solve 0 = 6*m - c - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196677203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*t - 250*t + 3*p = 0, p = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 + -0.0778519?\nAnswer: 0.5321481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3246 + -1?\nAnswer: 3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 22*t**2 + 2*t + 6. Let n = -170 - -166. What is the units digit of v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 25 - 47 + 5*c. Let b be n(14). Solve 8*x = 3*x - b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 51 = -5*t - 3*j, 0 = t + j - 15. Let m = 6 + 6. Calculate the greatest common divisor of t and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123308629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -152\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 0. Is 385\/d*(-6)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 1 - 1)*(-2*t - 2*t + 2*t) - t**2 + t**2 - 5*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 432*d**3 - 8336*d**2 + 3551357*d?\nAnswer: 2592*d - 16672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486)*-3)\/(sqrt(21)\/sqrt(112)).\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 51484289 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22774 or -7881?\nAnswer: -7881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/25, 1\/2, 45\/8, -1570.\nAnswer: -1570, -1\/25, 0.2, 1\/2, 45\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9619a2 (base 11) in base 6?\nAnswer: 53000513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.618573 minutes?\nAnswer: 0.01030955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26f7 (base 16) in base 12?\nAnswer: -5933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126960818*q**2 - 253921631*q**2 + 126960812*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1203 and 5.\nAnswer: 6015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/(-10)*1). Let q(m) = -2*m. Is 6 a factor of q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + -79. Let g = u + 103. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1 + 2) + 43. Let g be (1100\/330)\/(1 + (-22)\/24). Calculate the highest common divisor of b and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 10*c + 19. Is q(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.69 or -30\/161?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 48*t - 10*t.\nAnswer: -51*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/20 + 7*m**3\/15 + 3*m**2\/2 + 9*m\/5 + 3. Find q such that h(q) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/2 - 3*v**3 + 3*v**2\/2.\nAnswer: 3*v**2*(v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1 = h, -2*a + 8 - 2 = -h. Suppose 3*t - 2*m = 11, t - 7*m = -12*m - 2. Is a equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u**3 + 0*u**3)*(0*u**2 + 3*u**2 - u**2) - u**5 + 0 + 0 + (25*u - 25*u - 4*u**5)*(0 + 1 - 2).\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7125 rounded to 2 decimal places?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/12 and 151\/570.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 15*u + 536. Let t be c(-32). Let o(g) = g**3 + 7*g**2 - 9*g - 3. Give o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 34492*z - 34527*z, 3*z - 4*d = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 9*y**2 - 11*y + 7. Let u(l) = 3*l**3 + 10*l**2 - 12*l + 7. Let p(m) = -4*b(m) + 3*u(m). What is the units digit of p(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -2\/11, 0.3, -0.07, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 16.248.\nAnswer: 1.13736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Calculate the greatest common divisor of 25 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/7? (a) 1 (b) 4\/5 (c) 3\/5 (d) -0.5 (e) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 6:05 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 4*h - 2*h**2 + (-13 - 1 - 6)*(17 + 6*h**2 - 17) - 6*h + 6*h - 13*h**2 in the form s + u*h**2 + x*h and give u.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1 - 4 - 7*r as j + d*r and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688663 is divided by 1071.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqhqqqhhq. What is prob of sequence hqhh?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 - 3*c**2 - 7*c + 8. Determine h(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 644\/(-8050)*15\/(-24).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-3563\nAnswer: -17815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3494177 by 4.\nAnswer: -3494177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 10 + 21)*(1179*z**2 - 306269 + 306269) to b + r*z + l*z**2 and give l.\nAnswer: 40086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, -20, -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1000010000001 (base 2) to base 12\nAnswer: -2541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 198\/42 + (-2)\/(-7). Suppose -2*p = 2*o - t*p + 1, 1 = 3*o - 2*p. Is o*1212 + 10 + -9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -3, 2\/579091, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1775 - -1742. Which is the smallest value? (a) 0 (b) n (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 59. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 236\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -377 + 746 + 127*b - 366 in the form z*b + y and give z.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -301.52 - -301.42. What is the closest to n in 4, -4\/5, -17\/15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 * -1302886\nAnswer: 53418326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10202 (base 3) to base 7.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkkbbbkbbbbkkbkkkbk. What is prob of sequence kk?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 6 = 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 976097, 976046, 975995, 975944, 975893?\n\"Answer: -51*x + 976148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -q - 3*n - 308, 2*q - n + 588 = 0. Let x = q - -422. Calculate the common denominator of -85\/4 and x\/(-25)*(-10)\/(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1794, -194, -25.\nAnswer: -1794, -194, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295674 = 3*f + 232095. Let l = -119523 - f. Suppose -5*o + l = -o. What is o rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose 0*v + 2*v - 14 = n. Let h = 4598 - 4580. Calculate the remainder when h is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 893064637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12726*0.2.\nAnswer: -2545.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 2*s**3 + 2*s)*(-s - 1 + 15 - 5) - s**4 + 5*s**4 - 3*s**4 to y*s**3 + u + d*s**2 + w*s**4 + j*s and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h. Let v be r(2). Let t be (-6)\/(-15) - (-14)\/(-10). Let m = v - t. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12708457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, y: 3, b: 4, o: 5, u: 3, d: 1}. What is prob of picking 3 q?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -79 - 24308*f - 79 - 99 + 257 in the form u + p*f and give p.\nAnswer: -24308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -0.05, -3, 2\/3, -1\/7, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i**2 + i. Let g be j(1). Let y = g + 6. Let o be y\/3*(-2)\/6. Which is the closest to 0? (a) 3 (b) o (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 98 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 3*t**2\/2 + 206. Suppose l - 1 = -3. Determine n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 2*p + 3. Let i(q) be the first derivative of -q**3\/3 - q**2\/2 + q + 2. Calculate 2*i(n) - k(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/7 + 24366*z\/7 - 24368\/7 = 0.\nAnswer: -12184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -34 (b) -2 (c) -4\/209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:06 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let p(d) = 151370153*d. Calculate f(p(u)).\nAnswer: 151370153*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(19\/(-570))\/(4\/(-40)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -127365 divided by -8491?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/260)\/((-15)\/30)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 284 and 639?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 153\/63 + 6\/(-14). Suppose 2*q = -f*q. Solve r - 4*r - 12 = q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 1, -4, -1, 53, -2686.\nAnswer: -2686, -8, -4, -3, -1, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*d - 84. Find the common denominator of 465\/385 - (-8)\/d and 0\/1 + 51\/(-7).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y + 28 + 26. Let f(c) be the first derivative of -2*c**2 + 3*c + 1. Is f(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 11:37 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g = -64*g + 4742. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*l + 9. Let r be 16\/8 - (2 + 0). Suppose 5*p = -u + 23, 0 = 2*u - r*u - 3*p + 6. Solve l + 12 = u*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:59 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1806*r**2 - 4*r - 8. Let v(z) = -2*z**2 + 4*z - 3. Let f be v(2). Let i be (-1 - f) + 8\/(-1). Let y be c(i). Round y to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.075 * -511\nAnswer: 38.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*u**2 + 126*u**2 + 16*u**2)*(-2 + 2 - 2*u**3) - 2 - 32*u**5 + 2.\nAnswer: -466*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 699, 2771, 6225, 11061, 17279, 24879, 33861?\n\"Answer: 691*t**2 - t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101 (base 6) in base 2?\nAnswer: 10010001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2390308082*d**4 - 1721021542472*d**3\/3 - 309783728298248*d**2\/9 + 3982578560*d\/3 - 12800 = 0.\nAnswer: -120, 2\/103713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1016973923 divided by 263.\nAnswer: 3866821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -3*q + 35, -20 = -f + 6*f + q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/2 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let t(p) = -2*p**2 + p - 3. Calculate -3*o(x) - t(x).\nAnswer: 2*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41559941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(4 + (-120)\/28). Suppose 0*a = -a + b. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764904180 divided by -10?\nAnswer: -76490418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170234.6 litres in millilitres?\nAnswer: 170234600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 30. Suppose 10*d - i*d - 16 = 0. Suppose 532 = 2*x + d*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 909846.6us to minutes.\nAnswer: 0.01516411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/65 and 69\/65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4626.6 (c) -0.3 (d) -261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, -7.6 in decreasing order.\nAnswer: 0.4, -4, -7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 33. Let a(o) = 3*o + 1. Let v(n) = -39*n - 12. Let d(w) = c*a(w) - 2*v(w). Differentiate d(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028985 rounded to six dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 5:50 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 + u**2 - u. Let y be 1 + (0 - -2) + -2. Let p be n(y). Let m be 2\/p + (-16)\/(-1). Solve -k = 2*k + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3328?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(4\/(-12)))\/(((-10)\/(-28))\/((-130)\/52))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u + 32. Let o(y) = -8*y - 24. Let a(r) = 8*b(r) + 10*o(r). Let h = -9 - -4. What is the units digit of a(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2978 - 2072 = -2*w. Suppose -2*f = -3*f + 1, 0 = 5*y + 5*f - w. Suppose 5*d - 41 = y. List the prime factors of d.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2799)\/147 - 5) + -7 - (-38)\/931.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r - 2*r - 1459 - 1456 + 2915.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 4*h)*(-3 + 3 + 3*h**3) + (h**2 - h**2 + h**2)*(-4*h**2 + 6*h**2 + 0*h**2) - h**4 + 5*h**4 - 2*h**4.\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -2\/11 (c) 0.4 (d) -5 (e) -0.5 (f) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 3*v**3 - v**3)*(3 + 2*v - 3) + 11*v**3 + 10*v**4 - 11*v**3 + 0 - 156*v**4 + 162*v**4 + 4.\nAnswer: 18*v**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 u, and 1 k when four letters picked without replacement from ttudktttu.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19042667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 56. Suppose -x*n + 0*n + 10 = 0. Find the third derivative of -15*l**2 + 2*l**5 - 5*l**2 - 4*l**5 + 19*l**n wrt l.\nAnswer: 1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149617 * -5\nAnswer: 748085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:22 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 26472784*h. Let s(t) = -18*t. Give q(s(n)).\nAnswer: -476510112*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -380 - -383. Let k(b) = 0*b**c - 8*b**2 - 1431 - b**3 + 1430 - 4*b. Determine k(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.02 and 0.1?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 + 57695a?\nAnswer: 576932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 95, -11, -119?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14072 and 945687652.\nAnswer: 7036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from eiceiieeepieb.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252))**2 + sqrt(7) + sqrt(7) + (sqrt(1008)*-2 - sqrt(1008))**2.\nAnswer: 2*sqrt(7) + 9324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -835, -853, -871?\n\"Answer: -18*f - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 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 s(o) = -o. Let v(n) = 102*n**2 + 68*n. Determine -68*s(j) - v(j).\nAnswer: -102*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 70, 116, 160, 202?\n\"Answer: -d**2 + 51*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/60 + r**4\/8 - 7*r**3\/6 + 5*r**2. Let p = 47879 + -47873. Calculate k(p).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1 - 2*g**3 + 2 + g**3 - 30*g + 21*g. Differentiate y(d) with respect to d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 6*g - 7*g + 5*f, 0 = 4*g + 3*f - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2209098 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 1. Suppose r = b*r + 102. Let u = -18 - r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*d - 457*d = 680 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 962 and 9594?\nAnswer: 354978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7908 and 20.\nAnswer: 39540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 949370965*m**3 + 112813234*m**2 - m wrt m.\nAnswer: 5696225790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -604 divided by 145547\nAnswer: -604\/145547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 + 4*h**2 - 2*h + 8. Let w(b) = b**3 + b. Let a(m) = p(m) + 2*w(m). Let k(n) = -n**3 - n**2 - 1. Give -a(z) - 6*k(z).\nAnswer: 2*z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -654*x**4 + 690*x**4 - 2*x - 8 + 5*x**3 + 7 as j*x**3 + c + n*x**2 + w*x + t*x**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18*y + 74. Is l(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1492, 2989, 4488, 5989?\nAnswer: 7492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/3 + 232*i - 20124.\nAnswer: (i - 78)*(i + 774)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2. Let s(o) be the second derivative of o**4\/3 - 53*o + 1. Calculate l(s(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*f = -12, 9 = -4*f - 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -314 divided by 13\nAnswer: -314\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659901 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/((-41)\/246)*3\/6. Let n(j) = 18*j**3 + 5*j**2 - 6*j. Let r(c) = c**3 - c**2 + c. Calculate w*n(v) + 6*r(v).\nAnswer: 24*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10)*u*((u\/u**(-15))\/u)\/u*(u**(-2))**(-39) assuming u is positive.\nAnswer: u**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 108*y**2 + 973*y - 389. Let i be r(-98). Let d be 2*-1 - (-37 - -2). What is the greatest common divisor of i and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 462407511 less than 11089?\nAnswer: -462396422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*f + 4 = u, -5*f = u + 14. Let g be 2\/1*3\/u. Let n(m) = 50*m**2 + m - 2. List the prime factors of n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1 + (-56)\/24. Which is greater: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6997415?\nAnswer: 5, 19, 73, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b4b - 7?\nAnswer: b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.1 - -3.6. Let v be 18\/(-8) + (-8)\/(-32). Let j be (-12)\/6 + v + 5. What is the closest to j in -5, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*d = -n - 1, n - 11 = 2*d. Let v be 1 + 8 + ((-18)\/(-6) - 8). Find the third derivative of -14*o**n + 14*o**3 - o**4 + 2*o**v + 14*o**2 wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90 - -102. Find the first derivative of o + 19 - 5 - 10*c**3 wrt c.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 21*n - 37. Let f be z(-13). Suppose 5*v - w - f = 0, -2*w = v - 16 - 4. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -6) + 7 + (16 - 7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1208117, 2, 1.28 in descending order.\nAnswer: 2, 1.28, 0.1208117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2193*c + 1054*c + 1139*c + 15869*c**2 + 3273*c**2.\nAnswer: 19142*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/20 - l**4\/12 + l**3\/6 + l**2 - 3*l. Let n be q(0). What is the derivative of -n*s + 2 - 3*s + 4*s wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020010202 (base 3) to base 13\nAnswer: -acc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39009 or 379\/6?\nAnswer: -39009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/6)\/(425\/510). Sort b, 2, 5, 0 in increasing order.\nAnswer: b, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(32\/72 + (-33)\/54)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 38937 = -95*t + 96*t, s = -2. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (48\/(-56))\/((-6)\/28). Suppose 3*w - 3 + 1 = v, i*v = -4*w + 24. Calculate the smallest common multiple of v and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 88*v + 38*v = -84*v + 158, 3*j - 27*v = -153 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/23, 1\/393, 5, 2, 1.2 in decreasing order.\nAnswer: 5, 2, 1.2, 3\/4, 1\/393, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.29 (b) 0.1 (c) 2 (d) -5 (e) 0.496 (f) -2 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 816?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is cb18 (base 15) in base 5?\nAnswer: 2333443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -143, 15, 287, 679, 1197, 1847, 2635?\n\"Answer: u**3 + 51*u**2 - 2*u - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*51\/34. Solve x + 0*x - y = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -407191\/7 or -275?\nAnswer: -407191\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 15*j + 32. Let m be g(-13). Suppose -3*a + m*a = -l - 15, -25 = 2*l + a. Let c = l + 39. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**3\/3 - 11. Let v(n) = -15*n**2. What is r(v(g))?\nAnswer: 225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (1 - -12)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/5640)\/((-8)\/6176) - 12\/(-282)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g + 5*r = 8*g + 11138883, -4*g - 2*r + 2025246 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296 divided by -527.\nAnswer: 296\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/13 - 14432*d**3\/13 - 2239296*d**2 - 10758892032*d\/13 - 3274670592 = 0.\nAnswer: -3372, -468, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 210610, -0.38, 9\/8 in descending order.\nAnswer: 210610, 9\/8, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g + 1. Let f be p(2). Let k(o) = 2*o**2 - 12*o + 15. Let m be k(f). What is the second derivative of 16*w + 12*w**5 + 25*w**m - 20*w**5 wrt w?\nAnswer: 340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62985 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.189152629 to 4 decimal places.\nAnswer: 0.1892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-6325))\/((-28)\/1050)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3250649.\nAnswer: 53, 61333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -25*a + 7\/4*a**5 + 0*a**3 + 0*a**4 - 65\/2*a**2 + 0. Differentiate z(k) with respect to k.\nAnswer: 105*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/843 and 57\/77275.\nAnswer: 231825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 65?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185274*d - 185400*d + 370674*d + 19*d**3.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0451099 times -106\nAnswer: -4.7816494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/((-4)\/(48\/9)). Calculate the remainder when (-30)\/45*f\/(2 + -4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/25)\/((-6)\/2265). Suppose 3*i - 2257 - r = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16*2\/32)\/((-10)\/(-28)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkgzddg. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 123659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25392708 divided by -22?\nAnswer: -1154214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11649 - -1669. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/10)*v\/(v\/(v**13*v))*v)**(5\/8))**(18\/11) assuming v is positive.\nAnswer: v**(1377\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1648461 and 1776?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -69. Suppose 5*a = -d - 14, o*d - 3*a + a - 32 = 0. Find the first derivative of 20*l**3 - d - 7*l**3 - 3*l**3 wrt l.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -470. What are the prime factors of f?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 4*w - 5*j = -6, 3*w = 4*j - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 270 = 6*t. Calculate the greatest common factor of 81 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-23 - 30)*7\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose f*x - 96 = -4*x. Calculate the greatest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-576)\/1296)\/(2 + (-156)\/81)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**3 + 7*b**2 - b - 1. Let q(j) be the second derivative of j**5\/20 + j**4\/12 - j**3\/6 - 7*j. Let v(x) = -3*q(x) + s(x). Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p + 532. Let t(w) = 15*w + 1064. Give -11*b(f) + 6*t(f).\nAnswer: 2*f + 532","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 365339 - 144818827\nAnswer: -144453488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.0026.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, -0.2, 3.18, 2\/7, 0, -2 in ascending order.\nAnswer: -2, -0.2, 0, 2\/7, 9\/7, 3.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 8. Let c be 12\/(-42) - (-2)\/o. Suppose c = -h + 3*h - 88000. What is h rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114247711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by 63\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4526\/155*2\/(-68) - 3\/(-51).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -594*v - 55*v - 290*v + 69*v - 412*v to the form p*v + z and give p.\nAnswer: -1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 + 80. Suppose 11*z = 179 + 415. What is the remainder when z is divided by (2\/3)\/((-2)\/d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(972)*2) + -3)**2 + -4 + -4.\nAnswer: -2*sqrt(3)\/3 + 28\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**(1\/7)\/d))**(-6)\/(d**(-4\/5))**(-50))**(-9\/5) assuming d is positive.\nAnswer: d**(720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/24 + (-1 - -2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**9\/56 - d**5\/20 - 2*d**2 + 6*d. Let t(j) be the first derivative of k(j). What is the third derivative of t(s) wrt s?\nAnswer: -1080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k = 39*k + 222. Let y(u) = -k*u**2 + 9*u**2 + 16*u**2 + 10*u**2 - 3*u. Determine y(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.066? (a) 2\/9 (b) -9 (c) -1\/7 (d) 11 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from ffafaaffdfafff.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 6 - 6)*(2*u - 2*u + 3*u)*(-u + u + 2*u) + 2*u**3 + 84*u**3 + 200*u**3 to w + n*u + k*u**3 + b*u**2 and give k.\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(110) + sqrt(110))*-3)\/(sqrt(72)*1 + sqrt(2)))\/((sqrt(44)\/sqrt(16) - ((sqrt(121)*2 + sqrt(121))\/sqrt(11) - sqrt(11)))*-2).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:19 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93262856 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7582245, -7582261, -7582281, -7582305?\n\"Answer: -2*v**2 - 10*v - 7582233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16273158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206947927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315454586.\nAnswer: 2, 379, 416167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(-44)*660\/(-99)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -2*i, 33 + 4 = 4*r + 5*i. Let o(g) = 2*g + 8*g - r*g + 0*g. Let z(t) = -8*t**2 + 12*t**2 - 2*t**2 - 4*t**2. Calculate z(o(w)).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12089699 and 7713?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1796 = -u + 2*m, 3*u = 2*m - 5409. Let r = -760 - -1453\/2. What is the common denominator of r and u\/228 + 1\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 - -122. Suppose -87 = -5*r + 2*g, -1 = -3*r + 3*g + s. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -158, -153, -148?\n\"Answer: 5*i - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, 2180, -7 in descending order.\nAnswer: 2180, 4, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -22*b**2 + 4. Let a(z) = 2*z**2. What is f(a(d))?\nAnswer: -88*d**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*h**3*l**3*x**2 + 2*h**3*l**2 - 11*h**3*l + 2*h**3*x**2 + 2*h**2*l**2*x - l**3 wrt x?\nAnswer: 40*h**3*l**3 + 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3538 is divided by 1749?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 162, 261, 452, 765?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*u**2 + 17584052*a**3*u + 30326*a*u**2 - 3*a*u - 8*a + 5*u wrt a?\nAnswer: -12*a*u**2 + 105504312*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14716692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*d + 75*d = 396. Let f = 172 - d. Is 34 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830100.\nAnswer: 2, 3, 5, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 947?\nAnswer: 947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**5 + 2*a**5 - 4*a**5)*(5 - 3 + 0) + (52*a - 6*a**2 - 52*a)*(2*a**3 + 0*a**3 + 0*a**3).\nAnswer: -8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 19 + 31 = 0. What is the highest common divisor of 100 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -22. Let i = s - -16. Suppose -6 = -4*q + i. Calculate the greatest common divisor of 16 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13675547542 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 + 4*f. Let z(u) = -6*u**2 + 3*u. Let k(v) = -3*j(v) + 4*z(v). Let o(h) = h**2. Determine o(k(l)).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 16*o + 348. Let t be r(-21). Solve -4*y + 18 = 2*j, 3*j - 4*y + t = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -11 + -18 + (-3 - 4 - -11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 3. Let f = -63 + 67. Let c(q) = 3*q - 2. Calculate f*j(z) + 5*c(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 263, 420, 603, 818?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 + 26*d**2 - 240*d - 800\/3.\nAnswer: -2*(d - 20)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1495214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 14*a**2 + 54*a + 397. What is y(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 2, v: 1, c: 1}. Give prob of sequence vfh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from xtxxxxxxxxxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 3 + -8 + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2299*u**3 + 2*u**2 - 18*u - 20. Determine b(-1).\nAnswer: 2299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70558565715 from 45.15.\nAnswer: 70558565760.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2975 and 615826785.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64071516 divided by -12.\nAnswer: 5339293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/118)\/(3861\/1404)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -12 (b) 2\/13 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -563 + 562. What is the nearest to i in 2\/9, 5, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 0 - 7 - 11*a**2 - 7*a + 10*a**2. Let t = 8 + -11. Let p = -8 - t. Calculate w(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - 4*sqrt(77)*3)*2*-2)\/((sqrt(847) + (sqrt(847) - sqrt(847)*2) + sqrt(847))*-1 - (sqrt(847) - (sqrt(847) - -5*sqrt(847)*1))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*t = -9, -5*y - 5*t - 25 = -2*t. Sort 0, y, -7.\nAnswer: -7, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-994)\/(-6532)*(-4)\/(-7).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 263*j**2 - 3101*j - 666. Determine v(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/22 and 125\/8562?\nAnswer: 94182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/21, 3\/5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -8, -1\/8, -3\/4, 7, 32?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -m - 10, 6 = 4*m + m + q. What is c in -44*c**3 + 12*c**m + 85*c**3 - 40*c**3 + 20*c = 0?\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*n - 16387 = 7598 + 15515 for n.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a - 3*u - 1724 = 0, 5*a = 5*u + 4315. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8)*-2*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.358710847 + -0.8.\nAnswer: -1.158710847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73824 and 63274089?\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + 31*p**2 + 3*p - 7. Let t(u) = u**3 - 16*u**2 - u + 3. Let c(j) = -2*g(j) - 5*t(j). Is c(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.946 + -0.054. Let z = -12.5 + -1.5. Let j = z - -9. Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 623830784 to the nearest ten thousand.\nAnswer: 623830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-8 - (6 - 13 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 14) in base 9?\nAnswer: -785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p - 4 = -47*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 642*h**3 - 4*h**2 - 328*h**3 - 341*h**3 wrt h?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 749 + -535. What are the prime factors of g?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/2416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*h**2*q*y - 6730036*h**2 + 2*h*q**2 + 9*h*y - 137*q**2*y wrt y?\nAnswer: -96*h**2*q + 9*h - 137*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 + 300066*j**2 - 16210125*j + 218866212 = 0.\nAnswer: -100076, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 732291 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.03108 to three dps.\nAnswer: 1.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/25, 39, 5\/31, -1\/3 in decreasing order.\nAnswer: 39, 5\/31, 1\/25, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 2\/45, -1, -1\/3, -0.3, 1\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 5*s + 2. Let x be w(5). Let b = 6 - x. Solve -2*k = -10, -f - b*k + 0*k = -22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 7*t = 19. Let w be 2\/(-10) - (-238)\/(-10). What is the remainder when (6\/8)\/(t\/w) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 43 - 116 = 3*h, 49 = f + h. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 - -448. Calculate the common denominator of 145\/24 and (j\/33 - -2)*(-2)\/12.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 2. Let p = 7 + -8. Let b(n) = n - 1. Calculate p*b(z) - v(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26417 to the power of 1\/2, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, -3, -20 in decreasing order.\nAnswer: -3, -20, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 3808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -5729.\nAnswer: -2864.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 1 - -2326) + (-98 - -94) a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 5\/2*q**2 - 4\/3*q**3 - 1 + 3*q. Let n(b) = 5*b**2 - 6*b - 4. Let d(s) = 5*n(s) + 6*y(s). Calculate d(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.829 + 0.071. Let j = 5 - w. Which is the nearest to j? (a) -1 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/2 of a minute?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 20. Let h = -6.9 - -7. Let l = 1 - 2. Which is the closest to h? (a) n (b) l (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.5884 millennia?\nAnswer: 4588.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t. Let c be q(-1). Let o = c - 5. Suppose o*u + 8 = 2*u. Let f(j) = -j**3 - 6*j**2 - 4*j + 5. Determine f(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2323 and 909.\nAnswer: 20907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 2, o: 7, r: 7}. Give prob of sequence ur.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/8)*z\/(z*z**18\/z))**(-8\/5) assuming z is positive.\nAnswer: z**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -r + 5*l, 2*l = -5*r - 2*l + 148. What is the remainder when 79 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8848168 kilograms in grams?\nAnswer: 884.8168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -34. Let a be -4*(4 - (-42)\/d). Suppose -a*i = -3*i - 18. Calculate the remainder when 14 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1233)\/(-137)*2\/6. Let w(r) be the second derivative of 0*r**s + 5\/6*r**4 + 0 + 10*r + 0*r**2. Let t(n) = n**2. Determine w(t(o)).\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 - 3*j. Determine b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**4 - 4*o**4)*(-15*o + 14*o - 2 + 4).\nAnswer: 3*o**5 - 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (522 + 64*c - 522)*(-3 + 2 + 0) to f*c + d and give f.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**3 - v**3 + 2*v**3)*(4 + 4 - 6) + (-3*v**3 - 12*v + 12*v)*(4 - 41 - 6) as m*v**2 + d*v + g*v**3 + n and give g.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1433 - 1427. Solve a - 1 = g, 2*g + 3*a - 2 = p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 + 8370*c - 2236248 = 0. Calculate c.\nAnswer: -4437, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3078 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.835 plus 1251.8657?\nAnswer: 1295.7007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21858948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1*1668\/10*50*(-345)\/(-300)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 4*q - 26*q + 1216 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*s - 7*s + 87*s**4 - 9*s - 9*s**4 wrt s?\nAnswer: 936*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 1 (b) -1 (c) 11\/4 (d) 72\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1885 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -17 - (-30 + -23 - -14). Solve r*v - 345 = -93*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872) + (sqrt(1872) - (sqrt(1872) + (3*sqrt(1872) + sqrt(1872))**2)*3))*3.\nAnswer: -269574 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 118.7.\nAnswer: -23.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 97. Let y = z - 61.225. Let d = 0.093 + y. Round d to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2 = -12. Let x(m) = 1 - 6*m - w*m - 3 + 2*m. Let s(c) = -c - 1. Let l(n) = 10*n + 1. Let u(h) = l(h) - 3*s(h). Calculate -4*u(a) - 9*x(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*q + 27, -3*q + 24 = -4*c - 3 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 9, 25, 35, 27, -11?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17460991 divided by 59?\nAnswer: 295949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -117, -126, -145, -180, -237?\n\"Answer: -g**3 + g**2 - 5*g - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + u**3 + 0*u**3 - 2*u**3 + u**3 + (-15*u - 11*u + 14*u)*(-2*u**2 - 9*u**2 - u**2).\nAnswer: 144*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-518)\/(-2072)*(14*-4)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 686.1 + -686. Which is the smallest value? (a) 0.2 (b) r (c) 2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 34. Let w(h) be the third derivative of h**6\/120 + h**5\/10 + h**4\/4 - h**2. What is the least common multiple of w(-4) and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -2) + -4 - 1. Is -1 - ((-279)\/(-3))\/h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) + (26\/6 - 4). Sort -4, -2, q.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 14 + 146*h - 5 to the form m*h + n and give m.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lili when four letters picked without replacement from {i: 11, l: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 5151.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, p: 2, x: 3}. Give prob of sequence ww.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 3 (c) 0.2 (d) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 556772 and 2834?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:17 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m + 451. Let j(a) = -2*a - 152. Determine -7*j(g) - 2*z(g).\nAnswer: 10*g + 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgxuxxudxxxuxguug. What is prob of sequence xu?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-33))\/((-2)\/6)*-1\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 42*b + 138. Calculate v(-5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1293.6*241.\nAnswer: -311757.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -585 - 323 + 416 - 4214*l - 274 with respect to l.\nAnswer: -4214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 + 61*v - 17. Let l be d(20). Suppose y**l - 284*y**2 + 0 + 282*y**2 - 24 - 20*y = 0. What is y?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - 2 - (-55)\/10. Suppose l*y + v = 9*y - 778, 2*y - 304 = 4*v. Is 38 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 431 + -257. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-896)\/(-3648)*(-18)\/(-21).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l + 1. Let m(p) = 10*p. Calculate 2*m(r) - 3*x(r).\nAnswer: -10*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3275809?\nAnswer: 19, 172411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -98431c + -4?\nAnswer: -984323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-1\/3) assuming n is positive.\nAnswer: n**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757795?\nAnswer: 5, 31, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -90, -3, -14.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 5*h - 79. Give p(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 453750*o - 4991086. Determine b(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*k + 15*k + 8*k**3)*(1768 - 1768 + 32*k) to the form i*k**2 + u + v*k**4 + f*k + c*k**3 and give v.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2*j + 3*j)*(-2 + 6 - 3)*(4 + 0 - 2)*(-93 + 952 + 1727 - 247) as y*j + r and give y.\nAnswer: 9356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*z + 217*z - 30559 + 7198 = 89*z for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 99 + 10650\/(355 - 781)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqccqqc. Give prob of picking 1 o and 3 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 5*y - 28. Let p be h(-9). Suppose p*j = 3*j + 3*m + 87, -5*j = 4*m - 94. What is the lowest common multiple of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 1:18 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 96335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326*m - 11*m**4 + m**3 - 2*m**2 + 0*m**2 - 6 + 327*m to the form u*m**4 + p*m + b*m**3 + w*m**2 + g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3764778 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u**3 - 3*u**2 - u + 42. Is d(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 3*n + 7, -2*d - n + 18 = 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 21. Let b = p - -15. Let c = -6.08 + 0.08. Put c, b, -2\/15 in descending order.\nAnswer: b, -2\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 899596073140 and -1044.\nAnswer: 899596072096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y. Let v be 8\/(-6)*-3*-1. Let p = y - v. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**2\/2 + s + 259. Let k(w) = -18*w**3 + 30*w + 30. What is k(c) - 30*o(c)?\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -33. Let w = -21 - -21. Suppose -3*g + 2*o + 0*o + 66 = w, 48 = 3*g + 4*o. Solve -4*j = -k*j - g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 0 + 2*k + 2*k**2 + 1\/12*k**4 - 1\/6*k**3. Let l be r(0). Which is the third smallest value? (a) l (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 7*b**5\/60 + b**4\/4 - b**3\/2 + 46*b**2. Let w = -20 - -14. Let g(n) = -20*n**2 - 17*n + 9. What is w*g(p) - 17*f(p)?\nAnswer: p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34216030?\nAnswer: 2, 5, 3421603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/145992 and -29\/4767?\nAnswer: 33140184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.94. Let r = 161\/4 - 40. Which is the third smallest value? (a) 4 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 + 2*s**4 - s**3 - 2*s**3 + 4*s**4 + 3*s**5.\nAnswer: 3*s**2*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101532 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1609236988, -1609236987, -1609236986, -1609236985, -1609236984, -1609236983?\n\"Answer: d - 1609236989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -4, 36, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.1. Let q = -19300.4 + 19300. What is the third smallest value in l, 3, q, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 + -5?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*-3*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5 - 10*a**4 - 18*a**3 - 14*a**2 - 4*a.\nAnswer: -2*a*(a + 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*i**2*l*n**2 + 2*i**2*l + 54824*i**2*n**2 - 52*i**2 - i*l + i*n - l*n**2 + 3*l*n - 3*n wrt n?\nAnswer: -74*i**2*l + 109648*i**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 5552.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26590626.\nAnswer: 2, 3, 47, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - v + 8. Calculate the remainder when 23 is divided by u(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 683*g**2 + g. Let s(b) = -33524*b. Calculate s(i(d)).\nAnswer: -22896892*d**2 - 33524*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16945 and -19?\nAnswer: 321955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 332388 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7}. What is prob of sequence ggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m**(-12)\/m))*m*m)\/(m*m**(8\/9))*m**3\/m**(2\/7) assuming m is positive.\nAnswer: m**(-578\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 1 z when three letters picked without replacement from {z: 1, b: 1, x: 3, c: 5, u: 1, v: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**5\/10 - a**3\/3 + 85*a - 48. Let b(g) be the first derivative of v(g). Factor b(x).\nAnswer: 2*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 11*d - 291 = 0, 8*y - 9*y + 10*d = 255 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/530 and 101\/12.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20238313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*h + 77, 593 + 337 = 62*h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*t*z**3 + 91793*t - 22407*z**3 + 36 wrt t.\nAnswer: -41*z**3 + 91793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.5 (b) 2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.22 + -0.32. What is the second smallest value in r, 2\/9, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 242 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -230*p**2 - 2766*p - 59. Calculate a(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -24. What is the biggest value in -2, 3\/2, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 333086.304 to the nearest ten.\nAnswer: 333090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, h: 4, l: 1}. What is prob of picking 1 h, 1 l, and 1 p?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 260966780431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 159*q + 4805. Let z be c(26). Let v = 13 + -7. Let k(i) = 7*i. Let r(u) = 6*u. Give v*r(n) + z*k(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 242.1.\nAnswer: 240.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - 73789?\nAnswer: -737a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 30 + 60. What is the third derivative of 4*q**6 + 11*q**2 + k*q**5 - 30*q**5 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(209)*-3)\/sqrt(11).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1879691.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-702)\/(-130))\/(-9))\/(5\/200).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 12) to base 2\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.486122575*-0.3\nAnswer: -0.1458367725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-9)\/8400)*-20. What is r rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**3 - 4*l - 4. Let g(b) = 8*b**3 - b**2 - 2*b - 3. Let d(w) = w**2 - w. Let o(a) = -d(a) - g(a). Determine -4*o(f) - 3*s(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 + 1788*h**2 - 292729*h\/2 - 455172.\nAnswer: (h - 83)*(h + 3)*(h + 3656)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 30. Suppose 0 = -128*d + 335 + 945. What is p(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - t - 16 = -5*t, 47*x - 59 - 7 = 65*x + 2*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 754.9534 millennia in decades?\nAnswer: 75495.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(2\/(-28)). Let s be (h - -6)\/((-1)\/3). Solve s*l + 2*v - 5 = v, -5*l = 5*v - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3133401 and 21.07.\nAnswer: 21.3833401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z)**(-19) assuming z is positive.\nAnswer: z**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26984 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (16 + -14 + -12)) + -4 + (-44 - -1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -7 + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -1 (b) 0.6 (c) -1\/26 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from ciicci?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15) + (-28)\/(-20). Let q be (-8 + 19)\/(f\/3). What is the greatest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-7)*o)\/(o*o**(-4\/7)))**16 assuming o is positive.\nAnswer: o**(960\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92185919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -293*i**2. Let u(a) = 2*a**2. Give t(u(z)).\nAnswer: -1172*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8169.8785147263\nAnswer: 8173.8785147263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 72\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18850199 to the power of 1\/2, to the nearest integer?\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2) + (4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 189*h. Let t(x) = 11*x**2 - 10*x**2 + 0 - 2*x**2 + 0. Give t(b(z)).\nAnswer: -35721*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000010 - -100110110?\nAnswer: -11010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59\/2 - -29. Let q(y) = -5*y**2 + y**2 - 5 + 5*y**2 + 5*y. Let h be q(-6). Which is the third smallest value? (a) -1\/3 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -15. Which is the second biggest value? (a) -2\/7 (b) f (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-12*w + 20*w - 31*w).\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 4*z + 4*z + (2*z + 4 - 4)*(5 - 3 - 8).\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17929 is divided by 1885?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 165 = 6*x. Solve -5 - x = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 23, 184, 3 in increasing order.\nAnswer: 3, 11, 23, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7160 and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a - 113. Determine n(0).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 11168*w + 7795264.\nAnswer: 4*(w + 1396)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-155)\/4)\/(-5) - (-42)\/(-56). What is the second derivative of 6*m**2 + 11*m**2 + 15*m**2 + q*m wrt m?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 321?\nAnswer: -64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/12 + 3*d**3\/2 - 3*d**2\/2 - 7*d. Let m be q(4). Let v = 19 - m. Solve g - 3*g = v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**4\/4 - 3*y**3 + 3*y**2\/2 + 6*y - 3. Is o(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2 and 103\/84248184.\nAnswer: 84248184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1270539.\nAnswer: 3, 47057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1372 + -1305. What is the remainder when 169 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/24 + 2*o**3\/3 - 2*o**2. Let b(q) = -59*q - 422. Let v be b(-7). Calculate l(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11611 + -11551. What is the highest common factor of 492 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 - 4*3\/3. Let z(x) = x**3 - 13*x**2 - 15*x + 17. Let p be z(g). Let s(r) = 26*r + 2*r**2 - 27*r + 0*r**3 + r**p. Determine s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 f when four letters picked without replacement from afaaaf?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, s: 5, x: 1, p: 1, l: 3}. Give prob of sequence xsl.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -80, 153770 in descending order.\nAnswer: 153770, -4\/7, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(12) - sqrt(12)*1)\/sqrt(6) + (-1*sqrt(16))\/sqrt(8) + sqrt(2))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (216\/3456)\/(((-2)\/5)\/((-8)\/30)). Let x(q) be the third derivative of 3*q**2 - h*q**4 + 7\/2*q**3 + 0*q - 1\/120*q**6 + 0*q**5 + 0. Calculate x(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -5*s**8\/2016 - 7*s**7\/90 - 67*s**6\/240 + 52*s**5\/45 + 335*s**4\/36 + 68*s**3\/3 + 784*s**2 + s. What is t in g(t) = 0?\nAnswer: -17, -2, -1, 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33 from -1738025510.564.\nAnswer: -1738025477.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 17. What is y(-24)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2262? (a) -4\/7 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 2510?\nAnswer: 2510.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -67928432?\nAnswer: 6792843.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 234867 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468 - -658. Let s = -182 + p. Solve 4*r + s = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 41. Let w be ((-40)\/96)\/(3 - 39\/8). Which is the third biggest value? (a) 0 (b) h (c) w (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81695, -163399, -245117, -326849, -408595?\n\"Answer: -7*m**2 - 81683*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, h: 9}. Give prob of sequence hd.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -724, -1446, -2168, -2890, -3612?\nAnswer: -4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -308 - -583. Suppose -282 = -0*o - 2*o. Let a = m - o. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3504580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 2)*(7 - 7 + 8*v - 5*v + 4*v - 3*v + (-3*v + 4*v + 0*v)*(2 + 2 - 6)) to n*v + z and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3327383 is divided by 175113?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67912357 = 41*c + 13341357. What is c rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1597 + 1579 - (-1 + 1 + -5)) + 95?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14) - (1 + 2)*-4) + (-15200)\/(-21280)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.5 - 3. Let d = w + -0.1. Let n(x) = x - 3. Let z be n(3). Which is the smallest value? (a) d (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 = n, 0 = 23*m - 28*m + 25. Which is the second biggest value? (a) n (b) -4 (c) -199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + 29*u = -l - 4592, -3*u + 3*l = -3444. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11232 and 52.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(2 + 3\/(-2)). Suppose m*w + w = 0. Solve w = -3*x + 7*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 46 - 7)*(-2 + 2 + 1)*(105 - 105 + 85*n**3)*(3 + 2*n**2 - 3)*(-2 + 5 - 4).\nAnswer: -3740*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 - 166*c - 1866. Determine w(-10).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6))\/(((-2)\/(-172))\/1). Let h = 0 + p. What is the remainder when h is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*a**3 - 2\/3*a + 0 - a**2 = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-17) - (-8 + 9581085\/(-255))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3*d**2 - 24*b**3 - 3*b + 57*d**2 wrt d?\nAnswer: 2*b**3*d + 114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q + 4. Let b be k(6). Let v be 3\/(-45)*12\/b. Solve 6\/5*d + v*d**3 - 2\/5 - 6\/5*d**2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -25. Suppose 0 = -11*q + b*q + 8. Which is greater: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6))\/(o**(13\/5)\/o)*(o\/(o**(-2\/59)*o))\/o**(-24\/7))**(-10) assuming o is positive.\nAnswer: o**(12958\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 + -163. Find the second derivative of -6 + j + 3 - 6*z + 3 - 3 - 40*z**2 wrt z.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 127, 129, 131, 133?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 17. Let a be q(-7). Let i(r) = -10*r**3 + 3*r**2 - r + 3. Let w be i(a). Let m = w + -158. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*p - 9890 - 98432. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -251, -428, -705, -1082, -1559, -2136?\n\"Answer: -50*d**2 - 27*d - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -795710, -3182928, -7161632, -12731828, -19893522, -28646720, -38991428?\n\"Answer: -z**3 - 795737*z**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -116019*w**2 + 11*w. Let k(c) = -2*c**2. What is p(k(g))?\nAnswer: -464076*g**4 - 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 25. Let g be q(14). Suppose -g*b + 5*v - 3 + 14 = 0, 0 = b - v - 3. Solve -b*u - 9 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r - 12*r + 5*r**3)*(30*r - 110*r - 4*r) + r**4 - 2 + 2 - 2*r**4 + 2*r**4 + 2*r**4.\nAnswer: -417*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1892 - 1897. Let v = 3.1 + -3. Put f, -1\/7, 8, v in descending order.\nAnswer: 8, v, -1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2032 divided by -127\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b - 3?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 4*f - 75, -5*v + v - 73 = -3*f - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/9, 4\/7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.6. Let n = -1.236 - -6.236. Sort 2\/3, j, n, 1\/5 in descending order.\nAnswer: n, 2\/3, j, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*w = 21, 6*w = 3*w + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*m - u, -59*u - 6 = -m - 64*u. What is the remainder when 340 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 - 36 = 0. Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2561 + 18*o - 2204 + 5439)*(o - 4*o + 4*o)*(-3 + 3 + 3) to m*o**2 + g + a*o and give a.\nAnswer: 2022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.076396 (b) 18 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215134150 a multiple of 1730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x - 2*x - 1)*(4 + 4 - 5).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 - (-4 + 1). Suppose -3*m = -q - 1, 2*q - 1 = m - l. Suppose 9 = 3*x - m. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 6445000?\nAnswer: 122455000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 280?\nAnswer: -27d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1492*s + 2*s**2 + 51 - 13*s**2 + 1510*s - 46. Determine a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66114, 54236, 42358, 30480, 18602, 6724?\n\"Answer: -11878*v + 77992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 - -2.3. What is the third biggest value in y, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((10 - (22 - 9)) + -35 + 6)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -43. Let p(w) = -2*w - 2. What is the remainder when a is divided by p(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75779*p**2 + 42660*p?\nAnswer: 151558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1473 or -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 - -157. Let v(f) = -4*f + 10. Suppose -9 = 4*r + 7, -4*d = 5*r + 12. What is the remainder when i is divided by v(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(5000) + sqrt(5000) + 3 + sqrt(5000)*-2 - (sqrt(5000) - (sqrt(5000)*-2 + 2))) + 3)*3.\nAnswer: -96 + 1800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.09 and 15210.\nAnswer: -31788.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17*-3 + (-186)\/31. Let t = 81 + k. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hyyzzrzsytythths?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71220730 or 71220720?\nAnswer: 71220720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 33448380.\nAnswer: 66896760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 5*g**2 + 2*g + 11. Is 16 a factor of l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*w + 11. What is the closest to 2\/15 in 0.1, w, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 123 + (-12)\/6*2. What is the highest common factor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.6 (b) -1\/4 (c) -13.0692\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9. Let y = -2\/11 - 7\/22. Which is bigger: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -242, -248, -258, -272, -290?\n\"Answer: -2*w**2 - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 878094.4 kilometers?\nAnswer: 878094400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(-1410)\/(-423).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 3)*(-3*p + 0*p + 4*p) - 5*p - 2*p + 3*p)*(-6 + 3 + 2)*(4*p - 3*p + 2*p).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xki when three letters picked without replacement from {x: 1, w: 1, i: 4, b: 1, k: 3, c: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206561 (base 10) to base 14.\nAnswer: -553c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -183 - -217. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3238\/15 + -216. Let u = 30 + -32. What is the third smallest value in u, 8, n?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*g**2 - 7 + 1 - 2262*g + 2 + 2.\nAnswer: -839*g**2 - 2262*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11545*k + 24754*k + 3055443 = -11632*k for k.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -9. Let -r**5 + 2*r**3 - 11 + l + 6*r**2 - 3*r**4 - 2*r + r = 0. Calculate r.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/(-33) - (-2)\/11. Let k(c) = -2*c + 3*c + 2*c. Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 4*n. Suppose 0 = -3*j + h + 19, 2*h = 4*j + 8 - 36. Let b be y(j). Let s = 18 - b. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 9*k = 0. Let n = -5 - -7. Suppose 0*m = -4*m - 2*q - 2, k = 2*m + 4*q - n. Are 1\/5 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4429*n - 6044*n + 16515*n - 6040*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and -32 + 26 + 0 + 3 + 99.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -147747 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3418 and -25\/690932.\nAnswer: 1180802788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(56)*2)\/(-3*sqrt(8)*-2))**2 + (sqrt(70) - (-3*sqrt(70)*4 + sqrt(70)))\/sqrt(10)*-3.\nAnswer: -36*sqrt(7) + 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -4\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -148?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 200 = -11. Let w(c) = -2*c - 10 + 0*c + r - 10. Suppose 2*l - 5 = l. What is w(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 5 = 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 - 52. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*y + 45376224 = 15*y + 5*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17333344 (base 8) to base 7\nAnswer: -46243410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 0.6. Let c = w - 1.10000002. Round c to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092212 (base 11) in base 4?\nAnswer: 32001321300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 23*q**2 + q + 2. Let b be x(-1). Let p = -15 + b. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 44. Let w be z(-13). Suppose -w*b + 2 = -38. Suppose -b = -h + 2*x, -h - 2*x = x + 5. Which is smaller: h or 12\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.44217 + -3.\nAnswer: -12.44217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -356, -459, -600, -779, -996?\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206651003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*k + 12, 2*c - 2*k - 522 = -510. Factor -2\/3*y**5 - 2*y**3 + c*y + 2\/3*y**2 + 0 + 2*y**4.\nAnswer: -2*y**2*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3910040024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 156, 308?\n\"Answer: 152*f - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-21 + 24 + -2) - 29) + 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 divided by 326?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4752476?\nAnswer: 2, 499, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 9*o**2 - 17*o + 8. Let x be d(-6). Which is the closest to -0.1? (a) -1\/2 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*p = 2, -5*w - 25 - 5 = 3*p. Sort -166, -4, w in descending order.\nAnswer: w, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 283*r - 5216. Give z(-75).\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -286.19 - -5684.\nAnswer: 5397.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 116, 402, 990, 1988, 3504, 5646?\n\"Answer: 18*n**3 - 11*n**2 - n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60769 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87804 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**4\/4 + 7*t**3\/3 + t**2\/2 - t + 3. Calculate the smallest common multiple of 10 and h(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/45 and -36\/257.\nAnswer: 11565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*6\/(-2) - -2. Is (-258)\/6*(-4 - h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 12 + -8 + -5 + -11 + 10 - 5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75651 divided by 3.\nAnswer: -25217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (0 + -2)\/1. Let h = -24 + 89. Suppose 4*w + 22 = f, 4*f + f = 5*w + h. Solve -2*q - a + 0 = -2, -q + f = -r*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -24*o - 114. Let h be a(-9). Differentiate -23*d**4 - h*d**4 + 349 - 217 wrt d.\nAnswer: -500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1776 and 697337.\nAnswer: 695561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344902*j**2*m**2*o**2 + j**2*m*o - 31*j**2*m - 27*m**2*o wrt o?\nAnswer: 689804*j**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 76?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 315 (base 9) to base 13\nAnswer: 16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, -7 in ascending order.\nAnswer: -22, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6594, 10306, 16490, 25146, 36274, 49874, 65946?\nAnswer: 84490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -2*c + h - 6*h, 5*c + 2*h = -219. Let d = -38 - c. Suppose -b + 45 = -d*m, -123 = 3*b - 6*b + 3*m. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 331 + -331. Solve -4*g + t + 6 = 0, r*t - 6 = -3*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -z + 3, -5*z + 10 = 2*w - 7*w. Let j be -4*w\/(-2) + 4. Suppose -j*l = 3*v - 26 - 116, -l - 4 = 0. What is the remainder when v is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1377) + 1) + 3 - (5 + (sqrt(1377) - ((sqrt(1377) + 2)**2 + -2))).\nAnswer: -9*sqrt(17) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112 + -320. Let b = u - -425. What are the prime factors of b?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-1)\/(-6)). Let b = x + -2. List the prime factors of (2\/2)\/(b\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 178473020 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: Calculate -20 + -23 + 20 + (-1 - -3).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/((-728)\/195) + (-5108)\/340?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {m: 2, g: 4, a: 5, s: 4, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 smaller than -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 263\/8. Let w be (-14)\/(-4) - (6\/(-2))\/6. Sort w, c, -3, 5 in increasing order.\nAnswer: -3, c, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - -6 - (3 + 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 at least as big as 332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/((b**(-2\/3)*b)\/b*b))\/b))**(-24)*b**0\/b**(1\/5) assuming b is positive.\nAnswer: b**(-281\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 472655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 473\/5 - 95. Let k be (-260)\/(-104) + 4*(-6)\/(-16). What is the biggest value in k, -2\/9, t, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + g - 2)*(52 - 333 - 436)*(4 + 7*g**3 - 4) to i*g**4 + n + b*g**3 + l*g**2 + o*g and give i.\nAnswer: -5019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-13 - (-21 - (2 - (8 + -9))))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.4 - -22.37. Let d = p + -0.34. Let i = d + -0.6299804. What is i rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 3, 4\/7, -2.2, -5, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 985 = 21*i - 254. Suppose -5*v = -8*v - 165. Let d = v + i. Solve -k - 20 = d*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 7000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*k + 12303, 0*k = -4*k + 5*j + 9846. Suppose -191 = 6*n - k. Suppose -5*i = -26*i + n. What is the remainder when 33 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**5)\/(f*f**(-17)))**(-1) assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j + 6*j - 14766. What are the prime factors of j?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 0.1 (b) 2 (c) 257\/2 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:37 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.094 or 0.106?\nAnswer: 5.094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -37264, 5 in descending order.\nAnswer: 5, -4, -37264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134756, -269524, -404292, -539060, -673828, -808596?\n\"Answer: -134768*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67\/178? (a) -0.2 (b) -26 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/12 - (-32)\/24. Let c be (d + 0)\/(34\/(-340)) - 1. Solve -c = 3*p, -4*i + 32 = -5*p + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4372867 divided by -6.\nAnswer: -4372867\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 8. Let v be r(8). Suppose 3*m - 189 = -v*m + a, a - 121 = -2*m. Let j = 39 - 30. Calculate the remainder when m is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n**3 + 3*n**2 - 4*n - 7. Let o(j) = -24*j**3 + 7*j**2 - 9*j - 17. Determine -5*b(p) + 2*o(p).\nAnswer: 12*p**3 - p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(((v*(v**(-2\/19)*v)\/v)\/v*v)\/v)*v*v)\/v))\/(v*v**1))\/(v**(-1\/11)*v**(-3)*v) assuming v is positive.\nAnswer: v**(-212\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7127944 and -1107.\nAnswer: 7126837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 + 557. Is v at least as big as 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -397 at least -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16\/3 + 4\/3*n**2 + 16\/3*n = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 - 3*d + 3*d - 1 + 10*d in the form h*d + x + t*d**2 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9203*d - 121184. What is n(-13)?\nAnswer: -1545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 166. Let v(l) = 4*l**2. Give x(v(k)).\nAnswer: 8*k**2 - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeekkqeqka. What is prob of sequence kk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 13436*z + 255636. Calculate t(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i + 10 = 53*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 y when four letters picked without replacement from vyyyruwvryrvvvyvy.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206 - -207. Let q(n) = 417*n**2 - 10*n + 9. Does 14 divide q(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36946 + 64436. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from kknkknnnnknnnnknnnk.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 9*o**2 - 3. Let g be s(-9). Which is the second smallest value? (a) g (b) 1 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + ((-1)\/1 - -2). Let c = -20 - -25. Suppose -3*s = -c - 7. Sort 5, s, m in ascending order.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.117 (b) -1\/8 (c) 0.08 (d) -2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5 - 220*b**4 + 1564*b**3 + 24972*b**2 + 44352*b + 21168 = 0. Calculate b.\nAnswer: -6, -1, 21, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290 - -16. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**6\/150 - b**4\/20 + b**3\/15 + 14*b + 63. Let r(s) be the first derivative of v(s). Let r(g) = 0. Calculate g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 650 = -0*u. Let p = 1981 - 1976. Suppose -2*x + 2*v + 260 = 0, p*x - v - u = 2*v. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 8:50 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = 4. Factor 18*t**3 - 4*t + 4*t**2 - t**2 + 10*t**5 - t**2 + 0*t - 26*t**w.\nAnswer: 2*t*(t - 1)**3*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 - 3706*c**3 - 909*c**2 + 2 wrt c.\nAnswer: -24*c - 22236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 26170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -763497360*i**3 - 775079255*i wrt i.\nAnswer: -4580984160*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5 - 5 - 6 + 3*a. Suppose 0 = 5*w + 9*w - 56. Suppose -w*b + 29 = 3*g, -11 = 5*g + b - 48. Calculate q(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -33*b**3 + b**2 - 1. Let o be ((-14)\/35)\/(2\/5). Give m(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.56482+-3\nAnswer: -4.56482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**2 - 333*q - 97. Let w be k(-34). Which is the nearest to 0.1? (a) w (b) -1 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2629909 - 10*h**3 - 2629909 + 4*h**2.\nAnswer: -10*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 326 + 114. Is 18 a factor of ((-8)\/10)\/(2\/5) - x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 396658958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11 = -2*v, -5 = -2*w + 3*v + 3. What is the derivative of -4*z + w*z**2 + 2 + 4*z + 0*z wrt z?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by 80.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -2878, -6474, -11488, -17908, -25722, -34918, -45484?\nAnswer: -57408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 391 and 392 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/14)\/((-1)\/(-10)). Solve -o*z + 3*z = -10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -1415 (c) 3\/5 (d) 1\/4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 269*c**3 + 271*c**2 + 2*c = 0. What is c?\nAnswer: -1, -2\/269, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(20)\/sqrt(4) - (0 + -1 + sqrt(5))**2)*5.\nAnswer: -10 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-284)\/568*(-12)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-57)*(1397\/9779 + -58*(-29)\/(-14))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 11*i + 23. What is k(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 >= 354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/18141 - -54437\/126987. What is the second biggest value in -1\/2, m, 0.434?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3*g + 2*a + 24, 3*a = 4*g - 31. Suppose -3*c + 11 = -w - g, -w = -5*c + 33. Calculate the least common multiple of 5 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 748431713328\nAnswer: -748431713335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/(-56))\/(6\/(-23926))*-3. Let a = v - -763. Let o = -127468\/21 - a. Find the common denominator of 1\/30 and o.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 9\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16556134 + 3?\nAnswer: -16556131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*p**4 - 8\/5*p**2 + 4\/5 - 4\/5*p**3 + 2\/5*p**5 + 2\/5*p = 0. Calculate p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58 + -6 + 3 + 0. Suppose -2*l = -2 - 6. Suppose -22 - 22 = -l*n. Calculate the greatest common factor of i and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*b + 144*b = -296 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - -1) + -9 + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667736 (base 10) in base 14?\nAnswer: 315ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 10. Let g be ((-8)\/(-2))\/(x\/12). Find the common denominator of 29\/8 and -3 - (2 - (-276)\/g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n. Let a(j) = 9*j + 1. Let k(t) = -3*a(t) + 4*c(t). Determine k(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 7:10 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) 0.2 (b) -434 (c) 1\/8 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 85 + 3578*j - 3680*j - 40 - 45.\nAnswer: j**3 - 102*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500146.\nAnswer: 2, 250073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596830 - 596830 + 3*u**2 - 16*u**3 - 15*u**3 + 20*u**3.\nAnswer: -11*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 >= 30\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62777 and 21950?\nAnswer: 3138850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (5 - 3)) + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58517.68 millennia in months?\nAnswer: 702212160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -20*z + 6. Let b(l) = -7*l + 2. Let r(x) = 17*b(x) - 6*i(x). Let q be (5 + -6)\/(1\/5). Let j(a) = -2*a + 4. Calculate q*r(y) - 2*j(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 44380214?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 15*z + 32*z + 4*z + 30*z.\nAnswer: z**2 + 51*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 893 + -897. Suppose c - 2 - 3 = 0. Sort 0, -5, g, c in ascending order.\nAnswer: -5, g, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q - 6 - 3*q + 9*q. Let a be d(-6). Suppose 3*c + 10 - 79 = a. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*q + (3 - 2 + 1)*(-5 + 7*q + 5) + (-5 + 2 + 1)*(-2*q + 2*q - q) in the form o*q + m and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 5*x + 214433625*x**2 + x - 4*x - 214433661*x**2.\nAnswer: -36*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/61 - 108\/427. What is the nearest to 0.2 in 4, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 + 238. Let i = 5.1 + -0.1. Which is the closest to i? (a) q (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183040 divided by -13.\nAnswer: 14080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Determine z(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4039469 meters?\nAnswer: 0.0004039469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 348589\/4794 or 73?\nAnswer: 348589\/4794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8 * 0.034.\nAnswer: -0.0612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13 and 2763337.52.\nAnswer: 2763350.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j**5\/9 - 50156*j**4\/9 + 500282*j**3\/9 + 38780*j**2\/9 = 0. Calculate j.\nAnswer: -1939, -1\/13, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)*f*f\/((f\/f**(-9))\/f)*f*f**(-6)\/(f**(-10)\/f) assuming f is positive.\nAnswer: f**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 98660910*t - 98660965*t + 204 + 169. Calculate f(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9. Suppose 3*b - 5*b + 10 = j. Suppose 4*p + 4*u = -p + 16, -4*p + b*u + 21 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(6*(sqrt(3630) - 2*sqrt(3630)))\/(sqrt(30)\/(sqrt(3) - (sqrt(3) + (sqrt(3) + sqrt(12)*-3 - sqrt(3)))))*-2.\nAnswer: 2376*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2814045 (base 9) in base 3?\nAnswer: -2220111001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2223819889.976\nAnswer: 2223819885.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78216, -156206, -234196, -312186?\nAnswer: -390176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4 - 2 - 3 + o. Let r be n(11). What is the units digit of (-1)\/r*(-36)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Suppose 34 = 2*u + o*l, 0*u = 5*u - 4*l - 29. Find the second derivative of 2*r + u*r**2 - 3*r**5 - 9*r**2 wrt r.\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112 + 112.4. Let k = x + -0.3. Which is the second biggest value? (a) -1\/5 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(((o*o*o\/o**(4\/11)*o*o)\/o*o)\/o)\/o)\/o**(1\/9))\/(o**(-1))**(-42) assuming o is positive.\nAnswer: o**(-3809\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10094, -20187, -30280, -40373, -50466?\n\"Answer: -10093*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114 - -121. What is the greatest common factor of 3 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2981\/10069?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:25 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1193 - -1213. Sort 12, 3, d in increasing order.\nAnswer: 3, 12, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -315*f**3 + 4*f - 569. Let a(c) = 940*c**3 - 13*c + 1706. Let m(x) = -4*a(x) - 13*k(x). What is the first derivative of m(g) wrt g?\nAnswer: 1005*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 2*r + 0*r - 4. Let k = 6 + -1. Calculate m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 57 + (-2)\/(-6)*1*(-5 - 13).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 76. What is the remainder when d(-14) is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= 582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -15779*q + 2*q**2 - q**2 - 28 + 15787*q. Calculate b(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17184*s**4*z**3 + 160*s**4 + 7*s**2*z**3 - 26480*s**2*z - 3*s*z**3 - 2*z**3 + 2*z wrt s.\nAnswer: -412416*s*z**3 + 3840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45405, 90815, 136225, 181635, 227045, 272455?\n\"Answer: 45410*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3301 + -32331?\nAnswer: -23030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**4 + 360*d**3 + d - 356*d**3 - 2*d**4 to the form m*d**2 + p*d + v*d**4 + g + z*d**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-100)\/(-24))*(819\/39)\/(-42)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 - 6\/9 - 44\/108 and (13 - 14)*31\/8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 93 = 18*v - 2*f, 2*v + 0*v - 3*v - 2*f - 16 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133*h**5 + 1077*h**2 - 1887094*h?\nAnswer: -2660*h**3 + 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**7\/420 - f**4\/12 + 2*f. Let c(r) be the third derivative of m(r). Let w(p) = -3*p - p**2 - p + 4*p. Determine w(c(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2902, 3798, 4694, 5590?\nAnswer: 6486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189 + 1121\/6. Suppose -4*g + 8 = -8. Let c be 2 - (g - (-3 - -2)). Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269213.3062 rounded to the nearest one thousand?\nAnswer: 269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202221 - -2309416. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 915.47 + -914. Round i to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 22*x + 40. Suppose 0 = y - l - 13, -8 = -l - 12. Let k be g(y). Which is the fourth smallest value? (a) 5 (b) k (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021 - -212000022?\nAnswer: 212011120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8\/5))**(2\/125)\/(s**16*s**(3\/4)) assuming s is positive.\nAnswer: s**(-41899\/2500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 9605284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48383 and 1091.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.268 (b) -0.5 (c) -13 (d) -0.2 (e) -1\/3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/10)\/((-6)\/(-15)). Let b be 50\/(-5) - 1*p. Let q be (-2)\/b*32\/(-18). What is the nearest to 0 in 1\/3, 1\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 5*q - 820. Suppose 4*k - q + 9 = 0. What is the third derivative of k*z**4 - 3*z**4 + 13*z**2 + 12*z**2 - z**4 wrt z?\nAnswer: 768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 7569.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:57 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, a: 7, r: 2, k: 1, f: 3}. Give prob of sequence kyya.\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1421, 1414, 1409, 1406, 1405?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 - -273. Sort -0.4, 1, d.\nAnswer: -0.4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + (8 + 0 - (-249 + 247)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 9. Let u be l(8). Suppose 2*m + 5 = u. Let i(t) = -2*t - 2. Calculate i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**4 - 19*w + 10*w + 8*w + (18*w**3 + 2*w**3 - 3*w**3)*(2*w - 3*w + 0*w))*(1 + 4 - 1) to the form y*w + p*w**2 + k*w**3 + c + q*w**4 and give q.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:25 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/47 in -2\/7, 0.21, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z + 8. Let p(c) = -2 + 4*c**3 + 6*c**2 + 5*c + c + z. Let b(o) = 3*o**3 + 5*o**2 + 5*o + 5. Suppose -3*a + 23 = 5. Calculate a*b(q) - 5*p(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 + -4.2. Which is the closest to 0? (a) 2 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -409 - 1358 = -105*v + 438 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111687505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(4 + 1 - x + 0*x)*(7 - 33 + 85 + (1 - 5 + 2)*(2 - 4 + 5)).\nAnswer: -53*x + 265","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 6*n + 1. Let d be p(-4). Let v = d + -5. Let u(r) = -v*r**2 + 4*r**2 - r**2. Let i(q) = 2*q. Calculate u(i(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*a - 8, 0 = -4*o - 6*a + 4*a + 12. Let w(n) = n**2 + 3. What is w(o)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 20, -2*d - 3*y - 19 = -4*d. Let q(w) = -8*w**d + 5*w**2 + 1 + 2*w**2. Let c(s) = -5*s**2 + 4 + 0 + s + 2. Determine c(h) - 6*q(h).\nAnswer: h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90478537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -8 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/28 - 2*h**3\/21 + h**2\/2 - 4*h\/7 + 22. Factor u(f).\nAnswer: -(f - 1)**2*(f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 + 104?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15743875.\nAnswer: 5, 7, 19, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 15*g - 12. Let o = 6 + -2. Suppose -5*w + 2*n + 36 = 0, w - o = -0*w + g*n. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(3\/38))**(-16)*(x**(1\/4)\/x)**4*x*x**(-5)*x*x*x*x**(-2\/21) assuming x is positive.\nAnswer: x**(-1130\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 5:08 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -156 + 47 - 37?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39810 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**3 - 2*x**2 + x. Let n be ((-4)\/(-5))\/(8\/500). Suppose o - 1 = 4*p - n, -2*p + 5*o = -11. What is the remainder when p is divided by w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 8*b + 4*f = 35, -30*f = -48*f + 21*f - 75 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 3007*m - 2970*m. Determine k, given that 1\/7*k**5 + 5\/7*k**4 + 0 + 4\/7*k**2 + 0*k + 8\/7*k**m = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44942 and 76337.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 2*s**2 + s. Let z be t(2). Suppose 1 = -3*p - z*v + 2, 4*p = -3*v. Suppose x + 50 = p*x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5865 divided by -128\nAnswer: 5865\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:03 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3821785 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.188953*-0.2268\nAnswer: -0.0428545404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*l - 188 = -52*l. Calculate the remainder when 1119 is divided by l.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + n - 1. Let x(t) = -t**2 - t + 1. Let q(d) = -s(d) + 6*x(d). Suppose -4 = 4*l, -4*m - 389 = 4*l - 7*l. Let y = -105 - m. Give q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*n - 926 = 51*n + 594 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 17*u**5\/20 - 5*u**4\/3 - 39*u. What is the third derivative of n(a) wrt a?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 512 - 515. Let s(q) = -q**4 + q**3 + 1. Let l(y) = -2*y**4 + 16*y**3 - 141. Let k(u) = g*l(u) - 4*s(u). What is the derivative of k(o) wrt o?\nAnswer: 8*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000228236 to 7 dps.\nAnswer: 0.0000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(3 + sqrt(891) + -2))**2.\nAnswer: 4608*sqrt(11) + 228352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -858 - 157. Let b = -349 - u. List the prime factors of b.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i + 0*i)*(i + i + 3*i) + (-2*i + 3*i - 2*i)*(i - 2*i + 0*i).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -24570 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from svssvssss?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3 - 9. Suppose 3*k + m + 3 = 0. Let f = -38 - -191\/5. What is the biggest value in 2, f, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7908189871 and 0.1.\nAnswer: -7908189870.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55530 and 233226.\nAnswer: 1166130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-9)*6\/4. Suppose -4*r - u + o = -3*u, 3*u = 15. Suppose 2*s + 5*z = -0*s + 32, 16*z - 11*z = 30. Solve 16 = -r*f + s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jrrrjrrrrrr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 77 - 74 = 0. Do v and 1\/72 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjtt when four letters picked without replacement from {j: 4, q: 5, t: 5, h: 1}.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 8*x + 6. Let l be z(-9). Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n + 3. Let k be i(0). Solve k*c + 1 = 2*m, -3*c = -7*c + 4*m + 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.9796 - 5302635.\nAnswer: -5302593.0204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, n: 8, v: 4}. What is prob of sequence fvfn?\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -57378, -229395, -516056, -917361, -1433310, -2063903?\n\"Answer: -57322*c**2 - 51*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 107*o + 45 + 111*o - 222*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + z + 19919, -6*z + 5001 = j - 2*z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 78, 191, 338, 513, 710, 923?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6714 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -393? (a) 0.5 (b) -0.2 (c) 1\/50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/((-4)\/(-4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -15*t**3 + 14*t**3 - 2*t**2 + 2 + 2*t + 2. Suppose -3*l + 4*f - 9 = 0, 2*l - 3*f + 9 = -l. What is the units digit of v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vafou. What is prob of sequence ofu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411, -5, -6 in ascending order.\nAnswer: -6, -5, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3886*-4781\nAnswer: 18578966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 69936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = j + 2*j. Suppose j*q - 944 = 4*q. What is the common denominator of 19\/16 and q\/384 + (-1)\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -102114163 - 2?\nAnswer: -102114165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/4 - 3*x\/2 + 2 = 0. What is x?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*65.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 20?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/2 - -1. Sort -0.2, a, -16 in increasing order.\nAnswer: -16, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2\/9, 591, 298.\nAnswer: -2\/9, 0, 4, 298, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -27\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 2*q**2 + q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)**(-36)\/((d*d*((d*d\/(((d\/(d*d*d\/d**(3\/5))*d)\/d)\/d))\/d)\/d*d)\/(d**0\/d)) assuming d is positive.\nAnswer: d**(328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r + 124 = -13*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-110)\/6)\/(3\/(-9)). Let f = t + -31. Calculate the highest common divisor of f and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3334850.0101 + 3335002. Let j = -152 + f. What is j rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.2 - 0.2. Let n = 0.49 - 2.49. Put u, n, 0.1 in ascending order.\nAnswer: n, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - -6.52. Let y = 47.6 - n. Let f = y + -41.5. Which is the closest to 0? (a) -3\/8 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391366218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*v + 166 - 46, 0 = -5*n - 4*v + 120. Let t be 4*3\/n*(5 - -1). Solve 3*j = t*a - j - 6, 2*a - 5 = 3*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -3*d. Let l be (-1 - -3) + (-1 - -2). Let o(b) = -b**3 + 3*b**2 + 5*b - 2. Let j be o(4). Put d, j, l in descending order.\nAnswer: l, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.9307 to zero decimal places.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.19, 5, -1\/5, 10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 17*a**2 - 20*a - 32. Let o be t(-18). Suppose 0 = -o*b + 2*b - 6. Let g(j) = -3*j + 25. Is g(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + 4*d**2 - 10*d**2 - 4*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(-4*(sqrt(99) + -1) - 3*sqrt(99)*1))**2.\nAnswer: -10752*sqrt(11) + 311488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.158748 - -0.1237069. Let d = t + 0.2150437. Let g = d - 0.18. Round g to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 22*f - 7. Determine z(-16).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:17 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4*-1)\/(-3). Let d = 1.05 - 0.05. Let o = d + -2. What is the nearest to k in 1, o, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2)*-2 + -4)**2 + 5 - (sqrt(2) + -1 + -1 + 0).\nAnswer: 16*sqrt(2) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1279 - -1349. Solve -15 = -67*i + l*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74117 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*-2*(-3)\/(-12). Suppose -z - 3*s + 13 = m, 5*s = -5*z + s + 98. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 - -0.07. Let q = -0.02 - s. Which is the nearest to q? (a) -0.2 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by -29273?\nAnswer: 107\/29273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2))\/((t*t\/(t**(-3\/2)*t))\/t*t)*(t*t**(-2\/7))**12)\/(t\/(t*t**(-4))*t**(-1)*t*t**(-1)*t\/(t*t**(-3))) assuming t is positive.\nAnswer: t**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -de13a (base 15) to base 5\nAnswer: -140040110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1650671110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 90?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1245, 4, -269, -5 in descending order.\nAnswer: 1245, 4, -5, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3 - 30*x**2 - 66*x - 40 = 0?\nAnswer: -4, -5\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-3)*((-1260)\/56)\/(-15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 - 26 - 26) + 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 88a - -4?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t - 4. Suppose 0 = -7*g + 4*g - 5*k + 540, -197 = -g + 4*k. Let n = g + -189. Calculate o(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -83.16\nAnswer: 83.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 5*p**3\/6 - p**2 + 2*p. Let w be g(6). Calculate the highest common factor of 70 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*v + 2*y - 1, 0 = 5*v + y + 2. Let f(c) = c**3 - 3*c**2 - 3*c + 1. Let w be f(4). Suppose 1 = w*b - 19. Put v, b, 5 in decreasing order.\nAnswer: 5, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:30 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 0 - sqrt(192)) + -1 - (-1 + sqrt(192))*-1)**2.\nAnswer: -32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(350\/40))\/(2\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3440537*a*q**2 + 25*a*q - 291*a - q + 23 wrt q?\nAnswer: -6881074*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 11. Suppose c*s = 4*a - 8, 0 = 3*a - 3*s + 3 - 9. Solve f = -a*f - g - 5, 0 = 5*f - 4*g - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21445\/1431 at least 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 18*z**2 + 2. Let x(h) = h**2 - 1. Calculate -t(i) - 2*x(i).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36114 = -5*s + 36049, -2*s = -3*g + 77. Let o = 2 + -3. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z*z**(2\/35)))\/(((z**(7\/9)\/z)\/z)\/z*z**3) assuming z is positive.\nAnswer: z**(1312\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y + 721 = 63*y - 65*y - 3686 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gvgg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 3*t - 12. Let k be w(-5). Suppose -k*q = -52*q + 56. Suppose -10*m = -q*m + 892. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50.4 or -195?\nAnswer: -50.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d + 2*a - 6, -3*a = -3*d. Let m = d - -1. Suppose -5*z + 23 = 2*v, -5*z + 9*z = 2*v + 22. Put -9, z, m in descending order.\nAnswer: z, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 463878 or 463879?\nAnswer: 463879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -4*y - 6*a + 37772, 16 = 4*a. Is y a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45065 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g + 1)*(-g**3 - g**3 + g**3) - g**4 + 4*g**4 + 0*g**4 + 4*g**4 - 4*g**4 + 2*g**4 - 2 + 2 - 7*g**4 + 2*g**4.\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r + 21. Let a(h) = 2. Let w(d) = 22*a(d) - 2*s(d). Let v = 178 + -181. Is 3 a factor of w(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/5*30\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186774400 rounded to the nearest 100000?\nAnswer: 186800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide (22825\/10)\/(385\/(-66) - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 21. Give v(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/170 - (1 + -1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, w: 2, e: 5, t: 3, l: 1}. Give prob of sequence llo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 46. Suppose 0 = -t + 1 + j. Let r(l) = -t - 3 + l - 3 + 1. Determine r(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.9 + -22.7. Which is the second biggest value? (a) l (b) -1 (c) -2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3732*v**3 + 3766*v**3 - 7493*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 2:57 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1264447\/368 - 3436. Let s = -6347\/368 + l. What is the common denominator of 50\/(-6)*(-2)\/12 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 42 - -1) + (51 - (-20 - -50))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2014 + -1976. What is the remainder when 237 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1080, -496, -1, 3\/8 in descending order.\nAnswer: 3\/8, -1, -496, -1080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20536 bigger than 20828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/7 + 613882*q\/7 - 1227756\/7 = 0. Calculate q.\nAnswer: 2, 306939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 9, 93*l = 2*t + 90*l - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.8381 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7194936 and 4704.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*p + 25 = 0, m - p - 3*p + 20 = 0. Let x(u) = 2*u + 1 + m*u - 5. Determine x(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2) + 2 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/7770 and -131\/4662.\nAnswer: 23310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 20*z**3\/3 - 4*z**2 + 11*z. What is the derivative of s(y) wrt y?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 12. Find the common denominator of 2 + 2\/((-20)\/14) and (153\/(-60))\/(i\/14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o - 27*o + 7*g - 53 = 0, 0 = -4*o + g - 29 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**2\/7 - 5373*l\/7 - 2150\/7 = 0.\nAnswer: -2\/5, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:18 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6850 = -1482*k - 50948 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.45 - -15.45. What is the biggest value in -2, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 = 5*p - 16, -3*z + 4*p + 25 = 0. Suppose -13*f = -z*f + 26. Let i(c) = -8 - c - f + 25. Calculate i(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.8 + -0.8. Let m = 54 - r. Let a be (-2)\/2 + (-2)\/(-3). What is the closest to -0.1 in -5, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 2)*((3 - 2 + 0)*(-h + 2*h - 3*h) + 2572*h - 605*h + 1097*h) to the form g + u*h and give u.\nAnswer: -12248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.41 take away -1778190370?\nAnswer: 1778190316.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 38*n - 335. Let v be h(18). Let b(g) = 9*g**2 - g**2 - v*g**2 + 3 - 20*g**2. Let d(a) = a**2. What is d(b(s))?\nAnswer: 1369*s**4 - 222*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 483\/15 - 984\/820. Let p = 92 - 60. Solve -p*s = -z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12074225291 and -15.\nAnswer: 12074225276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*w**4 + 339580*w**3 + 3766*w**2 + 75*w.\nAnswer: 192*w + 2037480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*d - 42 = 0, 0 = -3*d + 83 - 116 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 4*y**5\/15 + y**4\/6 + y**3\/3 - 16*y**2. What is the tens digit of d(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 + 3*t - 3. Let c be b(2). Let k = 16 - c. Let f be 6 + -9 - (2\/2 - k). What is the smallest value in f, -2, 10, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(539) + 3 + -1*sqrt(539) + -1*sqrt(539) + -5)*2)**2.\nAnswer: -112*sqrt(11) + 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167670246 or 167670250?\nAnswer: 167670246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -140, -3, 32?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Let j = 1852808\/35 + -52917. Let d = 99\/5 - j. Which is the closest to m? (a) -2 (b) d (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 13. Let s be q\/(1 + -1 - 4). Solve 3*g + z = 4*z - 6, s = g - 5*z - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i + 1. Let y(a) = -6*a**2 + 2. Let z(s) = 4*n(s) - y(s). Let w = 3792 + -3794. What is z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*v - 459*v**2 - 160*v + 464*v**2 to y + k*v + c*v**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 9. Let n be x(6). Suppose -5 = -n*d - 2*d. Does -2\/43 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -25. Let w(v) = j*v - 3*v + 14*v + 6 + 44*v. Is w(1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3\/3)*-5. Suppose 0*y = 2*y, -3*i - 3 = y. Put 2, w, i in ascending order.\nAnswer: i, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:23 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3 - 1256*s**2 + 843*s + 634. Determine m(-210).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600254*i - 1200414*i + 600178*i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(20\/20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3211, 2\/3, 16\/5, -0.1, 2 in descending order.\nAnswer: 4, 16\/5, 2, 2\/3, -0.1, -3211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1828.389 kilograms?\nAnswer: 1828389000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {a: 3, n: 1, v: 2, h: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82765684 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -z - 5*v, -715 = -5*z - 3*v - 2*v. Let w = z - 242. Let t = w - -134. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 95\/20 - ((-2)\/(-1))\/(-8). Suppose 3*r = -3*p + 66, 0 = -3*p + 5*p + x*r - 56. Let w = 22 - p. Solve -4*a - 6 + w = 5*o, -3*o = -a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -53, -43, -33, -23, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 2, 108 in ascending order.\nAnswer: -31, 2, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35779 + -23761. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**4\/3 - 208*f**3\/3 - 4177*f - 2. Determine v so that i(v) = 0.\nAnswer: -104, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -14 + 18\/9. Suppose -4*y = -3*p + 72, -y + 4*p - 28 - 3 = 0. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28202802?\nAnswer: 2, 3, 19, 247393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528) - (sqrt(528) - ((sqrt(528) - 3*sqrt(528)*-5) + sqrt(528))))\/(sqrt(300) - -6*sqrt(300)*4).\nAnswer: 34*sqrt(11)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 - 85*u**2 + 20*u + 26. Let o be j(21). Let h(l) be the second derivative of l**3\/6 + 3*l**2\/2 - 71*l. Determine h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/372673?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.054 (b) 0 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -527 - -520. What is the fourth smallest value in -0.2, l, 8\/7, -1?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + 1 + sqrt(1377) - sqrt(1377)) + 1)*-5)**2 + -5.\nAnswer: 900*sqrt(17) + 34520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -5*s + 180. Let n = 3\/2486 + 2247329\/12430. Let w = s + n. Is w greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108.71 - -110.71. What is the closest to 0.17 in -8, -3\/10, n?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z, 2*t = -27*z + 28*z + 16968. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/12 - i**3\/3 - i**2. Suppose l = 2 - 0. Determine j(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -830 bigger than -822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 1, m: 2, o: 1, f: 1, d: 1}. What is prob of picking 1 m, 1 d, 1 e, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56891*d**2*r**3 - d**2 - d*r**4 - 12745*d - 5 with respect to r.\nAnswer: -170673*d**2*r**2 - 4*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157194 and 68373?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((156\/(-9))\/13)\/(-1))\/(11\/((-6435)\/(-100))).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 4*c - 7. Let l(b) = -2*b**2 - 2*b - 5. Let i(n) = -n**2 - 2*n - 4. Let x(t) = -3*i(t) + 2*l(t). Let z(a) = w(a) + x(a). What is z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 - 9*t - 6. Let u be j(7). Let z = 33 - u. Calculate the remainder when 13 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -632 - 49*o + 73*o + 526 + 92*o - 1706 with respect to o.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6861*a**2*o**3 + 2*a**2*o**2 - 122*a*o**2 - 111*a + 1311*o**3 + 22*o**2 - 2*o + 1 wrt o.\nAnswer: -41166*a**2 + 7866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82569791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + 47. What is the highest common factor of 40 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + 19. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18144?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5463 + -2768. Suppose -p = -u + 747. Suppose -4*v = -0*v - p. Is v 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 -61\/9860352 and 115\/532992?\nAnswer: 19720704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -7. What is the closest to 0.3 in 0.1, o, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from otootoo?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((4\/(-4))\/2))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 78416.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22538.252 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2495.639 - -2498. Round y to 1 dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**4\/4 + 5*g**3\/3 - 5*g**2 - 7*g - 1. Suppose 0 = 2*o + 4*a + 12, -53*a + 51*a - 18 = 3*o. Calculate b(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisksikvsssj. Give prob of sequence ii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18873199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - -189. Let b = p - 153. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3833 * 8.7565\nAnswer: 33563.6645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 11*z + 10. Let s(g) = -2*g**2 + 21*g + 20. Let h(p) = -7*k(p) + 4*s(p). Suppose 0 = -9*d - 100 + 163. Give h(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -197. Let a = -3 - t. Is a equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -7) + 4 - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*w + 718*w + 527*w + 5931 = -26201 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -627 (base 16) to base 14\nAnswer: -807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00239 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16106910 and 359980?\nAnswer: 1320766620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 - 2*x. Suppose 984*i + 3*o + 174 = 985*i, 646 = 4*i - 2*o. What is the remainder when i is divided by v(5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 44, 105, 214, 395, 672, 1069, 1610, 2319?\n\"Answer: 4*m**3 + 33*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8121*n - 840 = -8156*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 - 6. Let n(u) = 9*u**2 + 12. Let s(a) = 5*k(a) + 3*n(a). Let o(g) = 6*g**2 + 5*g**2 - 20 - 33 + 60 - 3*g**2. Determine 6*o(j) - 7*s(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(243) + 2)**2 - sqrt(243)) + -4.\nAnswer: -45*sqrt(3) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21 - -0.16\nAnswer: 21.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = o - y, -3*y - 83 = 4*o - 100 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) + -4*sqrt(2) + 4)*5 + (1*(-1*sqrt(200) + sqrt(200))*5)**2.\nAnswer: -15*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -17989\nAnswer: -17940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3735, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 4115501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794164?\nAnswer: 2, 7, 113, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 0) + (-36 - 0). Let s = d - -55. Let f = -31 + 31. Solve 4*t - t + 2*h - 16 = f, 4*h - s = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 c, 1 r, and 1 j when four letters picked without replacement from jrspcrrjrrjrj?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f - 273 = -46*f. Solve -5*j = -3*d - f, 3*j + 0*j - 17 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*f**3)*(f**2 - 1 + 1) + (-2*f**4 - 3*f**4 + 4*f**4)*(-3*f - 261*f + 69*f) + 2*f**3 - 2*f**3 + f**5.\nAnswer: 194*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -19) + (-22 + 21 - 7 - 95)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*p**2 + 31\/2*p + 961\/4 = 0. What is p?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00636 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 467 + (6 + -7)*-13. Calculate the greatest common factor of r and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7518049 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**(-16))**30 assuming r is positive.\nAnswer: r**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**3 + 3*i + 2*i**2 + i**2 - 6*i. Let r(v) = -95*v**3 - 35*v**2 + 35*v. Suppose 0 = -1204*l + 1199*l + 15. Calculate l*r(w) + 35*x(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 1751 - 1799 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkvkkkhkkkk.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 20. What is the greatest common divisor of w and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3492 - -3622. Let b = 38 + -12. Calculate the highest common divisor of b and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 355150 and 3050?\nAnswer: 21664150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 15 + -2 + 14 - 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 4*o**2 + 9*o - 17. Let a be t(5). Solve -v + 5 = 3*m + 3, 5*m + 2*v = a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 523634997 divided by -23?\nAnswer: -22766739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11*k)**(11\/3)\/(k**41*k**(1\/5)) assuming k is positive.\nAnswer: k**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9688 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.093 + -0.407. What is the third smallest value in 0.16, 2\/13, s, 0.2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15572295?\nAnswer: 3, 5, 346051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(((-15)\/10)\/1). Let v(p) = -8*p**2 - 3*p**f + 1 - 2*p + 12*p**2. What is the remainder when v(9) is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9160536 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36173 divided by -1\nAnswer: -36173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51405481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 1:45 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g**2 - 11*g**2 + 21*g**2 - g + 14*g**2 + 1. Let u be s(1). Let k = 36 - u. What is the greatest common divisor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75735 and 5865.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 74.8.\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 11. Suppose 5*n + x = 7 - 1, -x = -2*n + h. Suppose 6 = 3*a, 4*a - n - 52 = -3*l. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076595 divided by 65?\nAnswer: -16563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/525 and -44\/1911?\nAnswer: 47775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/2 - (-2 - -12). Let d be (-1)\/(15\/m)*5. Suppose p - d = 11. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -32878.\nAnswer: -32877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 153913578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.44 - -4.443. Let k = -60.597 - l. What is k rounded to the nearest integer?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -295083582 or -295083583?\nAnswer: -295083582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = -6*t. Let f(q) = -2*q - 1. Let i(l) = 4*l. Let b(g) = 5*f(g) + 2*i(g). Let u be b(t). Solve v = u*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -49 - 1 - 0\/(-1 - -2). Let v = -47 - n. Suppose 0 = 2*h - 7 + v. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 - -66) + ((-68)\/(-70))\/(94\/470)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**2 - 1556*g - 18656. Determine m(-12).\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1488 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 346.\nAnswer: 345.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 12*c + 6. Let s be m(3). Let z be ((-30)\/(-20))\/(1\/(-6)). Let i be (4\/s)\/(4\/z). Solve 5*w = -i*d + 27, -5*d - 2*w = -d - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1933334*t + 4. Let g be x(6). Round g to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.3 (b) -2 (c) -2\/19 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 7*p**2 - 6*p - 7. Let g be n(-6). Let o be (g - -1)\/(-1)*11\/6. Which is smaller: o or 186\/17?\nAnswer: 186\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -19 + (19 + -4 - -11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39527555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 550*p.\nAnswer: 5*p*(p - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40137, -40150, -40175, -40218, -40285, -40382?\n\"Answer: -w**3 - 6*w - 40130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.55 to one dp.\nAnswer: 34.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -145*i - 1. Let w be b(-2). Suppose w = 5*v - 96. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30876 by 2573.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -660.462, -2\/5?\nAnswer: -660.462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 - -272 - (-8 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6152080 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 574 and 738.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, j: 3}. Give prob of picking 3 w and 1 j.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -142*r**3 - r**2 + 3*r + 9*r**2 - 17*r**2 + 5 + 6*r**2. Is 9 a factor of x(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 11*p - p**2 + 20 + (3*p + 2*p - 3*p)*(-4*p + 3*p + 4*p).\nAnswer: 5*p**2 - 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -8. Which is the smallest value? (a) 5 (b) -2\/5 (c) n (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 27 - 9 = 0. Let g be 2\/r - (-15)\/(-27). Let x = -3 + 4. What is the nearest to x in g, -3, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*c - 22, 0*s + 26 = s - 4*c. Solve 0 = -11*h + 9*h + 4*l + s, 2*h + 2*l - 4 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*18*6\/(-48). Solve 0 = 2*i + 28 - f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x. Let s(k) = 6719*k**2 + 2*k - 2. What is s(m(r))?\nAnswer: 107504*r**2 + 8*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**13\/(c**(-2\/19)\/c)*(c**(-3\/4))**44 assuming c is positive.\nAnswer: c**(-359\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w - 21*w + 0*w + 5*w + 4*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + j - 0*j - 28, 0 = o + 5*j. Let a(m) = 6*m + o*m**2 - 8 + 0 - 3 + m**3 + 2*m. What is a(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.88195ms in nanoseconds?\nAnswer: 65881950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 13*p**2 - 16*p + 49. Give s(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*y**2\/4 + 468*y + 1296.\nAnswer: (13*y + 72)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (136\/(-306))\/(10\/(-495))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 970470311 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:10 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r + 9. Let k(a) = -7*a + 10. Let b(i) = 1. Let q(w) = -2*b(w) + k(w). Let c(z) = -5*d(z) + 6*q(z). Calculate c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 201*p**2 - 9365*p - 175. Determine x(-39).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 65035\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 - 3.7. Let i = 14\/9 + -17\/9. Put w, i, -3\/2 in increasing order.\nAnswer: -3\/2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than -521031132109?\nAnswer: -521031132142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 100983 and 101018 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 68. Solve -x + p*x - 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202032203 + 20112?\nAnswer: 1202112321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17846399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/468 and 51\/12160?\nAnswer: 1422720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1010, -1974, -3016, -4172, -5478, -6970, -8684?\n\"Answer: -6*b**3 - 3*b**2 - 913*b - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x - 23*x + 2*f = 18, -5*x + 3*f = -5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djb when three letters picked without replacement from {b: 1, m: 1, d: 1, a: 1, j: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3\/3 - 3*q**2\/2 + 4*q + 15. Let k be (0 - (-2 + 4)) + 5. What is p(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -606, -908, -1210?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (31 + (0 - 0))*(-1 + 2). Let m = 62 - x. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533893 is divided by 139.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven eighths of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**2 + 6*o**2 - 2*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*(-2 - 0). Let x be w*(-6 + 0)\/(-2). Suppose 0 = -5*t - t + 30. Sort x, t, -7.\nAnswer: -7, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*p + 20, -1 = -2*p + 3. Suppose -2*l + 26 = 4*q, 3*q - 24 = -5*l + n. Suppose -13 = -g + l. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 48\/13 (b) 0.2 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*30\/1836)\/((65\/(-4))\/(-13))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -6 + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 2908*u**2 + 31862*u - 54. What is b(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69512438 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 21*q**2 - 29*q + 59. Let c be p(2). Suppose c*x = 95*x - 2550. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16731 or -5792?\nAnswer: -16731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.61 + -4.61. Which is smaller: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 4*n - n)*(5 - n - 5) + (-28 + 10 + 9)*(-26*n + 26*n - 20*n**2) as q*n + x*n**2 + b and give x.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1323 - -2458?\nAnswer: 3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Product of 6056 and -0.01304.\nAnswer: -78.97024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035434765 rounded to five decimal places?\nAnswer: -0.03543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 2*z**3 - z**2 - 2*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.06788l to millilitres.\nAnswer: 35067.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 30 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrw when three letters picked without replacement from wwwjjjrwrb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*z + 67*z + 71*z + 64*z + 5*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((-328)\/52 + 2). Let f(i) be the second derivative of -10*i - k*i**2 + 1\/78*i**4 + 0 + 0*i**3. Factor f(j).\nAnswer: 2*(j - 2)*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1604000 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**2*x**2 + a**2*x - 19*a**2 + 22*x**2 + 4*x wrt x?\nAnswer: 14*a**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11862966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -145809.2033 to the nearest one thousand.\nAnswer: -146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-2))\/(-7)*(-2)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 11. Let z be 3 + m - (-1 + 2). Suppose 3*y + n + 3 = 0, 4*n - 3 = 5*y + 5*n. What is the third biggest value in -3, z, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 943 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377 + -47 - (2 - -1).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1038*w**3 - 57*w**2 + 19*w + 38. Let a(u) = u**3 + 3*u**2 - u - 2. Determine -38*a(h) - 2*c(h).\nAnswer: 2038*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -2)*5\/(-3). Let z = -2 - i. Find the second derivative of -2*r + z*r + 0*r**3 + r**3 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/5))**1\/((v\/(v**16\/v*v))\/v**2) assuming v is positive.\nAnswer: v**(91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 12. Let w(y) = 6*y + 35. What is -3*w(s) - 8*z(s)?\nAnswer: -2*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 216*j**2 + 89407*j + 1123590.\nAnswer: -(j - 430)*(j + 13)*(j + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0 = 4*w - 5, 2*y = -3*w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 + j - 9779 + 9750 - 26*j. Is p(14) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -57*z + 67*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-8 - -7 - 9 - -17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 540 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.453 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1434.6 - -208.6. Let m = 1225.999349 + n. What is m rounded to five decimal places?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 89*m**3 + 5*m - 4. Let j be f(1). Let h = j + -88. Suppose 3*o = v + 4*v - 41, -3*o = 6. Solve 0 = r + 3*q - 3, -v*r + 3*r - h*q + 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x. Let i(l) = -10*l. Suppose -5*m + g - 72 = 0, 3*m + 5*g + 23 = -9. Let y(k) = m*f(k) - 4*i(k). Let z(d) = 3*d. What is y(z(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 j when four letters picked without replacement from {n: 13, j: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 6*d - q - 4, 3*q - 12 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 640, 686, 740, 796, 848, 890?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25604083 divided by 4.\nAnswer: -25604083\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*l**6 + 34425*b**3*l**3 + 21*b**3*l**2 - 452*b**2*l**2 wrt l?\nAnswer: 240*b**3*l**3 + 206550*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3) + 1)**2 + sqrt(27)\/(sqrt(9)*-1))*-5.\nAnswer: -65 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - r**2 + 1. Let b(i) = -5*i**3 - 143*i**2 + 4. Calculate b(h) - 4*s(h).\nAnswer: -h**3 - 139*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 91710, 3, 2 in descending order.\nAnswer: 91710, 5, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**5\/60 + p**4\/6 - p**3\/6 - 2*p**2 - 2*p. Let t(o) be the first derivative of u(o). Calculate t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (1 - (-2 - 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6) - (-2 - -2). Let c = -173 - -172.4. Is a < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j - 3. Suppose 3*p = 4*p - j. Let v = -37 - -41. Is v at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 665311 = 3*z + 665314, 4*r + 4*z = -4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 3. Suppose 47 + 9 = -7*b. Let l be z*b\/12 + 9. What is l rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/2)\/(-1 + 0). Suppose y = 4*a + 12, -3*a + 100 = -b + 10. Let f = -95 - b. Solve -29 = -5*m - f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983.33l in millilitres?\nAnswer: 1983330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 4, s: 6, d: 5}. Give prob of sequence gh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1314 divided by -438.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 26. Let q be 1\/(-3) + 2\/k. Let n = -6 - -4. Which is the smallest value? (a) n (b) q (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 124 = 416. Let b = n + 185\/2. Factor 3\/2*m - b*m**2 + 1.\nAnswer: -(m - 1)*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {e: 1, d: 1, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*h**3 + 0*h**4 + 0*h**3 - 2*h**4 + h**4 - 2*h**4 + 0*h**4 + (0*h**3 - 3*h**3 + h**3)*(-2 + 2 - h).\nAnswer: -h**4 - 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27253190 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15802, 15920, 16040, 16162, 16286, 16412?\nAnswer: 16540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 0*t - 4*t + 157*t + 62*t + 198*t + (-4*t + 1 - 7*t + 8*t)*(1 + 4 - 3) in the form l + r*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131899778 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78.32 - -81. Let v = -4.45 + t. Let g = -1.7 - v. What is g rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p - 16. Let b be x(-3). Let h(v) = 7*v + 8. Let a(t) = -7*t - 7. Let m(i) = -7*a(i) - 6*h(i). Calculate m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685 = -3*g + 2*s, -96 = -3*g - 2*s + 605. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/15*(-3)\/(-36)*6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 52\/(-130) - 57\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f - 268 + 93 = -675 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.105 + 1.895. Which is greater: g or -34?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(363) - sqrt(363))**2 - sqrt(363).\nAnswer: -11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -2*q, q = 2*v - 0 - 5. What is the second derivative of k - q*k + 3*k + 5*k**2 wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 4632.\nAnswer: -926.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + 5*d**2 + 13*d - 41. Does 57 divide n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 2:48 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in -75, 0, 0.2, -11, -19, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-10 - -10) + 2 + -2 + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 - 149784*u + 449379 = 0.\nAnswer: -49931, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/50 - -3062*(-5)\/(-25). Let y = 613 - x. Let s = 6 + -5.92. What is the third biggest value in 2, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13193*q - 8276*q + 979 - 2185*q - 979 + (2*q - 4*q + q)*(0 + 2 - 4) + 6*q - 2*q - 2*q - q + 5*q - q to the form w*q + t and give w.\nAnswer: -23647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13438 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from ggkaigadgiktitiak.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/11 + 8428*j**2\/11 + 7168978*j\/11 - 7177408\/11 = 0?\nAnswer: -3031, -1184, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792 and 2244.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*f = -0*f + 12, 2*f = -q - 3. Suppose -8*v + q*v + 115 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d + -d?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121\/108 + 10\/27. Which is the smallest value? (a) 2\/5 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1101.975 + -1102. Which is smaller: 0.061 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166\/29 + 2122\/87. Let d be ((-674)\/16 + -1)*-1. Let r = 43 - d. Calculate the common denominator of r and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(4 + 1)*1. Solve 3*t - f*t + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 10:18 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 17*n + 34. Determine d(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 plus 140585.362?\nAnswer: 140567.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -432*n + 216*n + n**3 + 210*n + (0*n + 0*n + 3*n)*(-2*n**2 - 2*n + 2*n).\nAnswer: -5*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 10 - 2*c + 0 - 37*c**2 to the form h*c + d + t*c**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let k(i) = -2*i - 1. Let n(u) = u**2 - 9*u + 9. Let w be n(8). Calculate w*k(s) - 3*p(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 20 - 5)*(-2*h + 8 + 8 - 12).\nAnswer: -44*h + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -182214.2 rounded to the nearest one thousand?\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3313.005351 - -3313. Round d to 4 decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 97 + 37. Let b = i - 28. What is the greatest common divisor of b and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h + 0 - 2 - 121*h + 0 in the form x*h + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -153*m**4\/8 + m**3\/3 - 2*m**2. List the prime factors of d(-1).\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 18*w - 5. Determine u(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 8*p**2 - p**2 - 4*p + (-p - 4*p + 4*p)*(p + p - p).\nAnswer: 6*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710.0706 milliseconds to minutes.\nAnswer: 0.01183451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**10\/1680 - r**6\/120 + 2*r**3\/3 + 1. Let l(q) be the third derivative of z(q). Find the third derivative of l(w) wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*222\/777.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/2 of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90376011 to the power of 1\/2, to the nearest integer?\nAnswer: 9507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*i + 235, 20*i - 28*i + 545 = -3*s. What is the remainder when 315 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39388, -65903, -92418, -118933?\nAnswer: -145448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 74*f**2 + 101*f - 327. What are the prime factors of r(-76)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 6580.6ng to micrograms.\nAnswer: 6.5806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/20 - v**4\/12 - v**3\/6 - 5*v. What is m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7917769 + 1549609 = -8*g. Suppose 8*t + g = 4*a + 3*t, -5*t - 597020 = -3*a. What is a rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9271\/413145 + -2\/9181. Find the common denominator of -22\/35 and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 29. Let d = -41 - p. Suppose -d = -2*n - 0*n. Solve -2*i - 3*i = -n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 7*k**2 - 5*k + 8. Let j be m(-6). Suppose -2*x = j*x - 288. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 632, 800, 1032, 1328, 1688?\nAnswer: 2112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 126687446*x**2. Let p(m) = -11*m**2. What is r(p(k))?\nAnswer: 15329180966*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/25056 and 131\/6960.\nAnswer: 125280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 0.2 (b) -4 (c) -2.3 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 441 or 440?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -7, -30, -67, -118, -183, -262?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + 122 + (13 - 105)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4599d (base 14) to base 8.\nAnswer: 512507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000160497 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/119 - 75\/476. What is the biggest value in -0.4, s, -1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzqebqbezhkzzezb. What is prob of sequence zb?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 206, 207, 208, 209?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 261*i**4 - 721*i**4 - 512*i**4 + 1052 + 587 - 266 wrt i.\nAnswer: -3888*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 46 - 11)*(-z - 2*z + z) - 2 - 2*z + 2 + (-z + 0*z - z)*(-1 - 2 + 2).\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ork when three letters picked without replacement from xookorkrjooxrxoor?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942479 is divided by 1428.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-1683)\/495*2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -754*x**2 - 730*x**2 + 1953*x**2 - 5*x - 5*x - 639*x**2 as f + n*x + v*x**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 + 7. Let i = 4 + -10. Let f = i + 8. What is the second smallest value in f, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2596 and 15658412?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06853458 to four decimal places.\nAnswer: -0.0685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 13, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -104. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2*-1 + (3 - (5 + -58))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322\/966 - 2\/(-12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/17 - (-1600)\/2040. What is the nearest to h in 5, 4\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61108 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1573) + -1)*5 + (6*1*sqrt(1573))**2 + (-5*(4*(sqrt(1573) + -2 - sqrt(1573)) + sqrt(1573)))**2).\nAnswer: -4345*sqrt(13) + 97548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 588451845 to the nearest integer?\nAnswer: 24258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 297*h**4 + 7371*h**3*t - 32*h**2*t - h**2 - 3005*h*t + t wrt h?\nAnswer: 7128*h + 44226*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 109*c**2 + 18*c - 19. Let y(d) = 39*d**2 + 6*d - 7. Calculate -6*m(h) + 17*y(h).\nAnswer: 9*h**2 - 6*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*a**2*u**2 - 3*a - 68*u**2 wrt a?\nAnswer: -228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4928 = -2788*d + 1364*d + 1336*d for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 0.1 (c) -1\/4 (d) 2610 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 1\/8*v**4 + 0 - 2*v**2 - 1\/2*v**3 + 0*v. Let u be q(2). Solve -u = p + 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9298 (base 10) in base 15?\nAnswer: -2b4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, -0.03, 16?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5927755051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c**3 - 4*c**2 - 31*c + 2. Let o(n) = -16*n**3 - 5*n**2 - 33*n + 4. Calculate -5*o(b) + 6*z(b).\nAnswer: 2*b**3 + b**2 - 21*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 228*j - 21462. Determine c(-302).\nAnswer: 886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1093764 + -282721. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -8 + 18 + -28.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:07 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -5*o**4\/12 + 45*o**3\/2 + 70*o**2 - 14*o - 1. Factor s(d).\nAnswer: -5*(d - 28)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -9, -30 = -3*a + 2*q + 3*q. Let w(r) = -4*r**2. Let p(x) = -2*x**2. Let b(m) = a*p(m) - 2*w(m). Let o(y) = -y. Determine b(o(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3830\nAnswer: 1\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - -216. Suppose -3*p = 6 - w. Is 32 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40116290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 2)*(4 - 4 - p) + p + 1 - 1 + 2*p + 2*p - 2*p)*(-168 + 2631 + 1775) to the form n + h*p and give h.\nAnswer: 21190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*z = -2043 - 402, 2*z = 2. Let a = 612 - u. Solve f = 3*f - 5*r - 9, a = -f + r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 15607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.75 + -0.25. Let u = 33 + n. Which is the nearest to u? (a) 4 (b) -0.4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 389207 and 722813?\nAnswer: 5059691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 - 19*r**2 - 20*r + 157. Give h(7).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-9) + 28\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 61\/12 and -65\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 13672 + 13780 = 0 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001660815 rounded to seven decimal places?\nAnswer: -0.0001661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t + 126068 = 0. Let g = -158087\/5 - t. Let h = g + 101. Which is the nearest to 2\/7? (a) h (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 smaller than 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/12 - 5*k**2\/2 + 11*k. What is m(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4339.74 millilitres to litres.\nAnswer: 4.33974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p - 9*p - 15*p + 6*p in the form v*p + y and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 19, 33, 83, 187, 363, 629?\n\"Answer: 3*q**3 - 9*q**2 + 2*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4602, 3, 0.1 in decreasing order.\nAnswer: 3, 0.1, -4602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*z - 137*z = -163438. Does 126 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14029?\nAnswer: 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*n - 9 = s, -5*n - 15 = 2*s. Differentiate 11 - 7 + 5*o + s*o with respect to o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(363) - -1*sqrt(363)) + sqrt(363) + sqrt(363)) + sqrt(363) - sqrt(363))\/(sqrt(99)*-6))\/(6*sqrt(539)*1*6).\nAnswer: -sqrt(3)\/567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94516 is divided by 11812?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -47. Let x = 11.2 + n. Which is the closest to 8? (a) 4 (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3003441220 + 224?\nAnswer: -3003440441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 373\/6. What is the smallest value in 1\/3, d, 3, 18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14755395.\nAnswer: 3, 5, 311, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 344, 516, 696, 890, 1104, 1344?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zziiiczicucczkccnc. What is prob of picking 1 z and 1 u?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*r + 4*f**2*z**2 - 3*f**2 + 20*f*r*z - f*r + 239*f + 954*r*z**2 - 3*r wrt z?\nAnswer: 8*f**2*z + 20*f*r + 1908*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134301607079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16354?\nAnswer: 2, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from hzgwvgc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30562, -61990, -93420, -124852?\n\"Answer: -q**2 - 31425*q + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4983430 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1107 and 389787.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -79, 624 in descending order.\nAnswer: 624, 0, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.7755 take away 27?\nAnswer: -142.7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -0.78\nAnswer: 13.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 183. Let z be y(17). Solve 5 + z = 4*l - a, 3*a + 1 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82260.6 from 2152.\nAnswer: -80108.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-255)\/20 - -10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6.3. Let i = 0.5 - z. Which is the second biggest value? (a) 1\/3 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.58 + -21.58. Sort -5, 100, t, -1\/2 in increasing order.\nAnswer: -5, t, -1\/2, 100","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 2737 = -2792 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -6, -2\/7, -246\/113, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 409514*k**2 + 247*k + 450670800 wrt k?\nAnswer: 819028*k + 247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1460 - 644. Let q be 21875\/21*(0 + w). Round q to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1.652.\nAnswer: -8.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14426*p - 59*p**2 + 4*p**2 - 13801*p.\nAnswer: -55*p**2 + 625*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and 48.1.\nAnswer: -11.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v**3 - 7*v**3 + 2*v**3)*(-21*v**2 - 28*v**2 + 7*v**2)*(5 - 5 + 2).\nAnswer: 1512*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a - 75. List the prime factors of (28 + 0)\/(a + 17).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(-1375)\/33 - 10. Which is bigger: -426 or o?\nAnswer: -426","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -24 - 12. What is l rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*g - 14 - 14, 0 = -r + 4. Let c = -7 - 9. Let j be (4 - (-66)\/(-18)) + c\/g. Solve -2*o - 21 = -4*v + j, -2*v - 2*o = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 512200 divided by -256100\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8920 bigger than 8919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3, 534, -792?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*b = 15*b + 2033 - 15917 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -254 in -0.5, -137, -1\/5, 4?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*y - 78 + 2197. Let q = 185 + y. Calculate the highest common divisor of q and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 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: What is the nearest to -26.729877 in -1, -5\/4, -0.5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*b - 2*z, 4*b - 6 = 2*z - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2443346796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*b + 0 = -12, -9 = 2*i - 3*b. Sort 2, i, -3 in increasing order.\nAnswer: -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2430 or 2431?\nAnswer: 2431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2 - 4*r - 4. Is 18 a factor of y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 5, z: 3}. Give prob of sequence zqqq.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3564 = -24*k + 3492. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -649*f**3*l + f**3 + 94*f with respect to l.\nAnswer: -649*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*n - 107, 2*s = -3*n - 164 + 27. Let b = -10.103 - -10.503. Sort b, s, -5 in descending order.\nAnswer: b, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4a636?\nAnswer: 4a639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -2, -1, 17, -4, 2 in descending order.\nAnswer: 17, 12, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 a factor of 286012812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 2, y: 1, q: 2}. What is prob of sequence ylq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**4\/3 + 230*c**3\/3 - 1736*c**2\/3 + 392*c.\nAnswer: -2*c*(c - 14)**2*(4*c - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 9*x - 17. Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -5)*(2 - 1). Solve -i + q = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 5*t + 0*t + 4*t + 2*t + (t + t - t)*(-2 - 1 + 4) + 2*t + 0*t - 4*t)*(-1 + 1 + 2*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31322 (base 9) to base 6.\nAnswer: 235415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let r be k(1). Let n(a) = a**2 - 5. Let x(g) = 3*g**2 - 16. Let z be (-61)\/(-9) + (-6)\/(-27). Let u(q) = z*n(q) - 2*x(q). What is u(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0. Suppose o = g - 5*g + 16. Let d(y) = -2*y**2 - 13 + g*y**2 + 13. Let c(a) = 36*a**2. Determine c(d(x)).\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 120. Suppose 4*t + 0 = 5*j + 93, 2*t = -2*j + b. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 + 132. What is the remainder when (-3 - (-25)\/(-10))*(d + -55) is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 6*f**2 + f)*(-1 + 0 - 2)*(1 - 1 + 2*f**2) to a*f**2 + h + k*f**3 + w*f**4 + x*f and give w.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -5*c + 527. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12663)\/(-33) + 21\/77. Which is greater: m or 385?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 0*w = -6*w + w + 227 + 7, 0 = -3*f - 22*w + 999 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -10*n**3\/3 + 316. Let t(d) = -273*d. Give y(t(k)).\nAnswer: -745290*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46672729?\nAnswer: 113, 413033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and -38\/23.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1409 and -0.5?\nAnswer: 1408.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1444*q**2 + 456*q - 36.\nAnswer: -4*(19*q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770, 811, 866, 935, 1018?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-3 - -4) + (-2 - -3) + (-23 - 21)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5785.888ml?\nAnswer: 5.785888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3233331 (base 4) to base 11.\nAnswer: -105a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2849 bigger than 5\/4726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-31 - -32)\/((-37)\/19 + 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.446 + 0.046. Let f = v - -8.2. Let d be 2\/5 - 39\/(-15). Which is the smallest value? (a) d (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5547.13416 + -5547. Round a to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -28475590?\nAnswer: -28475590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-92*5)\/(-2)*(-14)\/(-28)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 450 + 74433?\nAnswer: 74883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1171*i + 906. What is the hundreds digit of f(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/15 + 89610\/18. Let j = 11775 - t. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -25*t**2 - 3*t + 2. Let v be o(5). Let h = v + 914. Suppose x + h = 5*b - 152, -4*b + 349 = -3*x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 3. Determine i(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -10. Let c = m + -8. Solve 2*i + 4*v + 12 = i, c = -i - 2*v - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283061 is divided by 1559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2309.7 times -1.3\nAnswer: -3002.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14298 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Suppose f - 2*j = -3, 2*f - j = 2*j - 3. What is the tens digit of u\/(-4)*(-372)\/f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((-4 + -2*sqrt(1300) - sqrt(1300)) + -5)**2 + -4*(-2*sqrt(1300)*6)**2) + 3.\nAnswer: -737016 + 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/6 + 486850*h**4\/3 - 4*h**3\/3 - 3894800*h**2\/3 + 8*h\/3 + 7789600\/3 = 0. What is h?\nAnswer: -973700, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-6)\/2 - (-15 - -8 - -3). Solve -62*c - 11 = 4*h - 65*c, 3*h - i*c = -10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b**(-1\/6)\/b*b)*b)\/(b\/(b\/(b*b**(2\/9)*b)))*(b**(2\/7))**(2\/11)*((b\/(b*b**0)*b)\/(b**(-4)*b))**(-26\/3) assuming b is positive.\nAnswer: b**(-45281\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359040641.\nAnswer: 3, 7, 64716221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 147981 (base 16) to base 5\nAnswer: 320414300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*n + k - 24 = 86*n + 4*k, 4*n + 67 = -5*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2 + 2 - 368\/69.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**2 + 2*g**2)*(2*g**2 - 4*g**2 + 3*g**2) + (2*g**3 - 3*g**3 + 3*g**3)*(512 - 256 - 259 - 755*g - 519*g).\nAnswer: -2547*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203594*v - 13*v**3 - 2407185*v + 1203591*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.75, -0.1, 108, 1\/12 in descending order.\nAnswer: 108, 3.75, 1\/12, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*v + 69*v - 185*v + 72*v.\nAnswer: -235*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 0.01, -3\/4, -4 in descending order.\nAnswer: 3\/2, 0.01, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*3636\/505.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 3. Let c be s(3). Suppose -c*r = -r - 155. List the prime factors of r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 3*n - 1. Suppose -3*h - 27 = 2*q, -3*q - 38 = h + 3*h. Is b(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 1\/6 (b) -65 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/13205375 or 0?\nAnswer: 4\/13205375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81009 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2388 + -2388.682. What is y rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) + (-3)\/9. Suppose 2*x + 4*p + a*p = 36, 5*x - 66 = 2*p. Suppose -5*i + x*i - 1809 = 0. List the prime factors of i.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52 - 96 + 68)*(-7*k + 5 - 5) + (3 + 6 - 1)*(-k - 2*k + 5*k) - 2*k + k - k in the form q*k + o and give q.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 5*n + 2. Suppose 2*z + 30 = -2*w - 2*z, -5*w = -2*z + 15. Let y be a(w). Solve y*m + 0*m = -2*t, 0 = -5*m - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 25 = -1. Which is smaller: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**3 - 2*i - 8*i**2 + 8*i**2.\nAnswer: 32*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2585.513 - -5.487. Let f = 1265 - q. Let p = 1337.98 + f. Round p to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 4 - 2*p**2 + 10*p - 3. Let r be 3\/(-2)*(-42)\/9*1. What is the tens digit of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -5\/4 (c) 1421 (d) 1 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3710202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -251*g**2 + 36*g - 11. What is v(1)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x - 2. Let q(i) = -i. Let s be q(x). Suppose s*k + 6 = -0*k, 4*a = 4*k + 244. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**4\/2 + 4*v**3 + 4*v**2 - 5*v + 228. Is c(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l = -0*l - 85 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 40*i**2 - 2769*i + 2374. Determine j(76).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16181 - 55*h - 70645 - 47629 - 51*h.\nAnswer: -106*h - 102093","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1446391241?\nAnswer: 601, 1303, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2 - h**2 - 1\/3*h**4 - 6*h + 0*h**3. Let z(y) be the first derivative of g(y). What is the first derivative of z(s) wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152 greater than or equal to -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1 + 104*v**2 - 329221*v - 102*v**2 + 329222*v. Let q be (-2)\/10 - 48\/(-15). Let n(j) = -5*j**2 - 2*j - 2. Calculate q*n(w) + 5*y(w).\nAnswer: -5*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 4323372?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - j - 37, -r + 12 = j - 4*j. Suppose -22*h + 16*h = -114. Factor h*b + 6*b - 15*b**2 - r - 9*b + 5*b + 3*b**3.\nAnswer: 3*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149195 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**6 + 11*p**5 - 12*p**4 - 32*p**2 - 77?\nAnswer: 840*p**3 + 660*p**2 - 288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -282, -596, -910, -1224?\n\"Answer: -314*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132634?\nAnswer: 2, 17, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 6*z**2 + 2*z - 7. Let y be m(5). Suppose -x + y = -4*u, 2*x - 2*u = u + 31. Does 2 divide ((-2)\/(-4))\/(2\/x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-3)\/h*h))\/(h**(-3)\/h))\/((h**1*h)\/h*h*h**3) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32 = q + 2*s, -4*q = 3*s - 20. Let n(y) = -y**3 + 6*y**2 + 18*y - 20. Let v be n(q). Let a = -9 + 4. Put a, -3, v in decreasing order.\nAnswer: -3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12920 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21230368?\nAnswer: 2, 349, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 3*n**4 - 13)*(-23 + 51 + 104).\nAnswer: 396*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1118.3474 - -0.0474. Round c to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 - -89. Let r = 66.00031 + z. What is r rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -2.99. Let l = q + -2.9. Sort l, 1\/9, -0.5.\nAnswer: -0.5, l, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135385.\nAnswer: 5, 27077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -18 - (-209 - -237).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*c - 12 = 0, -j = 4*j + c - 8. Solve -j = -8*s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(304) - sqrt(95)\/(sqrt(5) + sqrt(15)\/sqrt(3)).\nAnswer: 39*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a8 - -3?\nAnswer: -a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -55*n - 108 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s + 4. Let u(l) = -13*l - 17. What is 4*b(i) + u(i)?\nAnswer: 7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.1 - 26.9. Let b = 54 + -23. Let d = b + -19. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.59 - -0.41. Which is the nearest to -0.3? (a) g (b) -0.1 (c) 5\/4 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 12:53 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1985 = -22*l + 2293 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in 1\/4, 0.4, 0.025?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 + 4*u**2)*(2*u**2 - 6*u**2 - 3*u**2) - 4*u**4 + 0*u**4 + 3*u**4 + (-2*u**2 + 2*u**2 + 2*u**2)*(5*u**2 + 2*u**2 - 5*u**2).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-69 + -4) - (-155 - (-40 - 101)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -190 - 10*q + 190 + ((1 + 0 - 2)*(-2*q + q + 0*q) + 4 - 2*q - 4 - 26*q + 20*q + 56*q)*(0 - 1 + 3) + (1 + 3 - 6)*(-3*q + 3*q + 2*q) + 4*q - 2*q - 4*q.\nAnswer: 82*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.64357 and 21.\nAnswer: 1000.51497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/(-124))\/(2\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 26. Let d = l - 20.9. Which is bigger: -1\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*t + 14, t + t + 9 = -5*c. Is (-204 + 3)*c\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 p when three letters picked without replacement from ststnstnpan?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325 - -465. Suppose 5*v = -5*f + o, -v = -4*v + 5*f + 100. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231 - -6469\/28. Let c(m) be the third derivative of 1\/420*m**6 - 3*m**2 + 3\/7*m**3 + h*m**4 - 1\/42*m**5 + 0 + 0*m. Factor c(w).\nAnswer: 2*(w - 3)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2255*f**4*l + 2*f**3*l - 15*f**3 + 300*f**2 + 155*f*l + l wrt f?\nAnswer: -54120*f*l + 12*l - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047393 to 6 decimal places.\nAnswer: -0.000474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2514285 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:55 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 420 and 0.2?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2451355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.556 - -36966218\nAnswer: 36966217.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2243, -2239, -2233, -2225, -2215, -2203?\nAnswer: -2189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2028945 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(0*y + 5 + 3*y - 3).\nAnswer: 6*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 128. Suppose 0 = 10*t - y*t - 80. Suppose 5*d - 4*a + 8 = d, 2*d + 5*a = -4. Put d, t, -1, 4 in descending order.\nAnswer: 4, -1, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 - 47 + 8*q**2 + q**2 - 11*q**2 to j + d*q**2 + m*q and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.558 rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 904986 (base 15) in base 10?\nAnswer: 6850026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 16. Suppose -3*p = -w - 1. Let s = 6.46 - 6.56. What is the nearest to s in 0, -1, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -1273.83.\nAnswer: -1273.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - 215\/10. Let q = b - -13. What is the units digit of (-63)\/12*q\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f + 1. Let p be k(-1). Let a be ((-3)\/6)\/((-1)\/p). Solve a*s = 3 + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -112. Let s = 69 - 67. Does 21 divide (o - 12)\/(1*s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -4 (c) -53 (d) 8 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -3*w + 6*w. What is the lowest common multiple of w and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -1452.68?\nAnswer: -1447.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119\/1067 or 1.7?\nAnswer: -119\/1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = 44. Let n = 12 - 0. Let j = h + n. Sort -1, j, 2 in increasing order.\nAnswer: -1, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + f = -575, f = -6*o + o + 565. Let q = o + -18. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 + 1. Let a(k) = -k**2 + k. Give 6*a(l) - u(l).\nAnswer: -l**2 + 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 15*r**2 - 13*r - 12. Let j = -23 + 37. Let f be o(j). Let u(q) = 3*q + f*q - q - q. Let n(m) = m. Give n(u(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1767*p**2 - 155. Let x(o) = -7*o**2 + 46*o - 134. Let z be x(7). Let m(g) = 34*g**2 - 3. Determine z*m(t) + 3*k(t).\nAnswer: 31*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/768, 2\/747, 9, 2.\nAnswer: 1\/768, 2\/747, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 1 - 5 + c + 6*c.\nAnswer: 6*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50, -119, -182, -239, -290?\n\"Answer: 3*g**2 - 78*g + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*(18\/3)\/24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 5. Let u be l(3). Solve -2 = -u*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22332597913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 1:36 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 14*k**2 + 23*k + 5. Let r be 1 + 25 + (5 - 2). Let h = 16 - r. Let d be z(h). Round d to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 + 3 - 3*y. Let m(x) be the first derivative of -x**3\/3 - 38. Calculate n(m(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -30355 (base 16) to base 10\nAnswer: -197461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7626 and 368754?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/23)\/a**13 assuming a is positive.\nAnswer: a**(-297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:09 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p\/p**(-21))*p)\/(p\/(p*p**(-14)*p)))\/(p\/(p\/p**21))**46 assuming p is positive.\nAnswer: p**(-997)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3*n**4 - 1\/3*n**5 + 0 - 7\/3*n**3 - n**2 + 0*n.\nAnswer: -n**2*(n + 1)**2*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + 14. Suppose 22 = -3*d - 2*n - 5, 6*n = -54. Calculate f(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + k = 104, t - 4*k = 3 + 1. Suppose -41*l = -36*l - 300. What is the greatest common divisor of t and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 198533059.\nAnswer: -198533059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + d + 5*d - 14*d**3.\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36752 - -36747. Let z(t) = -6*t**3. Let p(s) = 5*s**3 - s**2 - s - 1. Let h(y) = 7*p(y) + 6*z(y). Determine h(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 5:12 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 - 4*t**2 - 3*t - 3. Let o be a(-6). Let x = 13 - o. Solve x*w - w = -3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 391 = -2*s + 199, -f + 295 = 2*s. Let n = 689 - f. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -0.3 (b) 2\/11 (c) -3\/8 (d) 2 (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 454121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 1:20 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 7*u**6\/1080 - u**5\/40 + u**4\/36 + 4*u**3\/3 - 4*u. Let o(a) be the second derivative of y(a). Suppose o(m) = 0. Calculate m.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10 = -6*n. Let a(z) = -40*z**2 - 81*z + 2. Let r be a(-2). Let q(v) = -v - 2*v**2 + r*v - 2 - n*v. What is q(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.604389km?\nAnswer: 1604.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7546 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584263.\nAnswer: 29, 20147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*g - 1086*g + 144 = -4*m, -5*g - 2*m - 3*m = 230 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3203 + -3332?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/20*(-16)\/(-6). Put -4, -7, n in ascending order.\nAnswer: -7, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*f = f - 20, 0 = 5*f. Let c(i) = -4*i + 5. Let p(q) = -2*q + 2. Let k(b) = 3*c(b) - 5*p(b). Calculate k(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 11*d - 11. Suppose 4*g - 19*g + 45 = 0. Let n(z) be the first derivative of -z**3\/3 - 5*z**2\/2 + 5*z + 5. Determine g*o(b) + 7*n(b).\nAnswer: -b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 8*b**3\/3 - 13952932*b**2\/3 + 2027962739792*b - 1013980207152 = 0.\nAnswer: 1\/2, 872058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 815 - 2. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365794 is divided by 3048?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = -8*g. Let x = -2 + 4. Calculate the remainder when x is divided by -3 + (-3)\/g - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172784744 to the power of 1\/2, to the nearest integer?\nAnswer: 13145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211002212022020 (base 3) in base 9?\nAnswer: 24085266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0314 - 5.0314. Put b, 0.043, -2, 3 in descending order.\nAnswer: 3, 0.043, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 28731*i**2 + 5495*i - 1099. Let w(q) = -157*q**2 - 30*q + 6. Let b(a) = 6*s(a) + 1099*w(a). Let x(g) = -11*g**2. Give b(x(m)).\nAnswer: -18997*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 + 126. Let w be -237*((-4)\/(-6) + -1). Let u = w + y. What is the highest common divisor of 39 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-5)*y**16*y\/(y*y*y**(-1\/10)*y*y)*(y\/(y\/y**8*y))\/y assuming y is positive.\nAnswer: y**(151\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13205906?\nAnswer: 2, 7, 17, 55487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/8)\/(18\/144). Is (-1490)\/(-3) - s\/(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4598, -9183, -13768, -18353?\nAnswer: -22938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {h: 2, e: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86259668.\nAnswer: 2, 11, 1960447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6*(-3)\/(-1). Is -1\/866 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m + 19. Let h(b) = 5*b + 20. What is 7*h(x) - 6*p(x)?\nAnswer: -x + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3 + 3)*(1 - 2 - 6)*(-19 - 23 + 10).\nAnswer: 448*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {t: 5, a: 4, z: 7, e: 2}?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 130*r**2 + 0*r**6 + 29\/70*r**7 + 0*r**5 + 1\/8*r**4 + 0*r + 1\/6*r**3 + 0. What is the second derivative of h(v) wrt v?\nAnswer: 1044*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/60)\/((-2)\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 6*z - 106. Suppose -z = -6*w + 5*w. What is the remainder when 46 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -0.2, 1\/345, -5 in decreasing order.\nAnswer: 9, 2, 1\/345, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 465736689 + 465736689.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55589*o**3*y**3 + 23*o**3 - 3*o**2*y - o*y**3 + 9*y**3 - 4356*y**2 wrt o?\nAnswer: -333534*y**3 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 316*v**2 + 2517*v - 45. Determine d(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 96239.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4)*1)\/((sqrt(12) - (sqrt(12) - sqrt(300)))*-5) + ((sqrt(120)\/sqrt(6))\/sqrt(10) + sqrt(8)*-1)*1.\nAnswer: -26*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687089.3 millilitres in litres?\nAnswer: 687.0893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2896 - 2062. Let i = 855.64 - p. Let k = i - 22. What is k rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 12*a + 5. Let n be y(12). Suppose -n*s + 65 = -40. What is the remainder when (-5)\/(-10) + (-476)\/(-8) is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*((1 + sqrt(1100) + 2)**2 + 5*sqrt(1100) + 0)*-6*1.\nAnswer: 1320*sqrt(11) + 13304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 123?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 871\/4 - 2719\/12. Find the common denominator of z and 6631\/(-9348) - (-2)\/(-24).\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 - 134 = 55*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 179*i + 12. Is 12 a factor of u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 42 = -42. Suppose -13*p + 111536 = k*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 57.\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2206141.2523321 - 2.0023321. Let x = -2206237.249781 + s. Let t = 98 + x. Round t to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 1:49 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1117, -1300, -1599, -2014, -2545, -3192, -3955?\n\"Answer: -58*c**2 - 9*c - 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -22*x + 2. Let m(j) be the first derivative of j**4\/4 - 11*j**3\/3 + 4*j**2 + 12*j + 26. Let b be m(10). What are the prime factors of n(b)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*i - 17*i + 216*i - 287*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*t**2 - 2*b**2*t**3 - 337*b**2*t**2 - 48*b*t**3 + 15*b*t wrt b?\nAnswer: -6*b*t**2 - 4*t**3 - 674*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 23. Determine n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 3\/24 + 30370\/(-9744). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8140406 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -23, -1\/3, -38843?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/12*(-374)\/935?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 21 = 0. Let d = y - 6. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*u + 4*q, 2*u + q + 0*q = -12. Let g(j) = 32*j + 33. Let h(f) = 10*f + 10. Let v(m) = 6*g(m) - 19*h(m). Determine v(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17564998 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/20 + 8\/20. Solve -j + c = o*j - 25, -j + 5 = -2*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20245 - 152?\nAnswer: 20053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:27 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -23. Suppose 3*b - x*b = -95. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132*-0.39639\nAnswer: 52.32348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m**2 + 28*m**2 + 18*m**2 + 30*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -212*s**2 + 4859*s - 3. What is u(23)?\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 129*f + 1 + 2*f as a + r*f and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-20)*30\/(-20)*-4. Put -0.3, 0.7, z in ascending order.\nAnswer: -0.3, z, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1710 + 1801. What is the remainder when w is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhh when four letters picked without replacement from hchctzztt?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:03 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by -3*(-153)\/(-54)*-6?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6841, -13686, -20531, -27376, -34221?\nAnswer: -41066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000001159 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 265671 in descending order.\nAnswer: 265671, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19188 + 19187.9974624. What is h rounded to 5 decimal places?\nAnswer: -0.00254","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1456236 + -1456026.0822. Let d = q - 210. What is d rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-25))\/y))\/y)\/((y**5\/y)\/y)*(y*y*y**(-2\/7))\/y*y*y*y**(4\/19) assuming y is positive.\nAnswer: y**(3315\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0 + 7*j + 2*j**2 - 4*j + 5. Let i be b(-5). Suppose -4*l - l = -i. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -34, -13, -22, -1, -4 in increasing order.\nAnswer: -34, -22, -13, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o + 1. Let r(m) = -m + m + 5*m**2 + 14*m**2 - 14*m**2. Give x(r(d)).\nAnswer: -35*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 2:24 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmp when three letters picked without replacement from pepatomo?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-210)*9*-3*(-2)\/(-27)*-3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 - 33. Suppose -a = 4*p - 20, -3*a - h*p = -0*a - 25. Suppose v + v - 236 = a. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1355 + -727. Let b be (-1952 - -1)\/(-1)*1. Let p = b + o. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 - 3 - (-5 + 90\/8). Which is the nearest to 1\/2? (a) m (b) 2\/11 (c) 76 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14b19e (base 15) to base 8\nAnswer: 3637716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s\/(s*s**(1\/6)))\/s)\/s*s**(9\/10))\/((s\/s**(-29))\/(s*s\/(s*s*s\/((s**2*s)\/s))*s*s*s)) assuming s is positive.\nAnswer: s**(-379\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 392 + -389. Let n(i) be the second derivative of i**p + 0*i**2 + 0*i**4 + 0 + 7*i - 1\/20*i**5. Find the second derivative of n(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(605) + -2 - (2 + sqrt(80) + -4))**2.\nAnswer: -14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let f be g(2). Does 7 divide 2*(3665\/110 - f\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 19*r - 85. Let b be t(9). What is the highest common factor of b and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.742071 rounded to three dps?\nAnswer: -0.742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -171697 - -263246. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 11 - 22 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -71*0.108\nAnswer: -7.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35275298?\nAnswer: 2, 389, 45341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*((-16)\/(-5))\/((-3136)\/(-1960)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - 2*j + 2. Let w = 0 + 7. Suppose -2*m - 3*z - w = -4*m, 5*z + 11 = 3*m. What is the smallest common multiple of o(2) and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 - -1?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 697833*n**4 + 5672*n + 2?\nAnswer: 8373996*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -129*l**2 - 6*l - 1. Let p(x) = -x**2 + 1. Let g be (-4)\/(-2) - (5 + -1). Let i(z) = g*p(z) + f(z). Find the second derivative of i(v) wrt v.\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 62566 divided by -287\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = -c + 30, -5*t + 3*c = -150. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*c + c. Does 9 divide (-235)\/c - 2 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1744 equal to -228554\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 28 = 5*r, 2*r - 111*f + 8 = -113*f for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 69 = -4*p, 0*k = 4*p + 2*k - 74. What is the remainder when 79 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7360268 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - ((sqrt(108) - (-1*sqrt(108) + sqrt(108))) + sqrt(108))) + -3)**2*3 + -1 + 3*(-2*sqrt(108) + sqrt(108))**2.\nAnswer: 108*sqrt(3) + 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 1. Let w(h) = 119*h - 332. Let u(v) = 4*k(v) - w(v). Differentiate u(b) with respect to b.\nAnswer: -139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5610*s + 5628*s - 11 - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5570160 = -173*x + 93*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -140089 + 4?\nAnswer: -140085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 + 1.3. Let v = u + 2. Let x = -3\/78683 + -236028\/550781. What is the nearest to -2\/3 in v, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2686603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46.8 + 48.83. What is t rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74, -243, -524, -917?\n\"Answer: -56*c**2 - c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/7, 29, 1, -0.3, -4 in decreasing order.\nAnswer: 29, 1, 0.5, -1\/7, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yle when three letters picked without replacement from {t: 1, l: 5, y: 1, e: 1, n: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 198*v**3 + v**2 - 2*v + 2. Let h be 4\/(-1) + -6 + 11. List the prime factors of m(h).\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031105073 to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376345?\nAnswer: 5, 75269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -5\/7 (c) -2\/3 (d) -4\/3 (e) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**2*i - 21244805*g**2 + 3*g*i + 36668*g - i wrt g.\nAnswer: -6*i - 42489610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/11, -13, -1\/9, 11, -0.043?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 + 115*a**2 - 750*a - 15. Let l be z(7). What is the greatest common factor of l and 938?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n + 3*n + n - n. Let i be f(-2). Suppose o + i*s = 27, -33 + 4 = -3*o + s. Calculate the remainder when 41 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 238.1 + -272. Let z = -34 - h. Is z bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8 + 3*s**2 + 7 - 8. Let z(n) be the second derivative of -n**3\/3 + 197*n + 2. What is z(f(x))?\nAnswer: -6*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2887 - -2886.8. Let t = 127\/572 + -3\/44. What is the biggest value in -3, 3, n, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2.19, -3 in increasing order.\nAnswer: -3, -2.19, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2975 + 2987. Calculate the smallest common multiple of u and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5*(sqrt(68) + 1*sqrt(68)*-1 - (2 + 3 + sqrt(68) + sqrt(68))) + -4 + -1)**2.\nAnswer: 760*sqrt(17) + 7161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 54. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06194 and -4.\nAnswer: 0.24776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/11 + 34*p**4\/11 + 228*p**3\/11 + 756*p**2\/11 + 1242*p\/11 + 810\/11.\nAnswer: 2*(p + 3)**4*(p + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1705)\/1023)\/(20\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose 5*c + 2*l = -210, -c - p = 5*l + 17. What is the remainder when (29\/2)\/((-11)\/c) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 22 = 4*m, 2*t - 989 = 3*m - 965 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - y = -9, y + y - 6 = 0. What is the tens digit of b\/(57\/(-30) + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2 - 849*j - 9460 = 0. What is j?\nAnswer: -11, 860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 + 216*b**3 + 46269*b**2 + 90966*b - 137448 = 0. Calculate b.\nAnswer: -92, -3, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 + -130. Factor -3\/2*p**3 + 0 + 0*p**2 + 0*p + 3\/2*p**c.\nAnswer: 3*p**3*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43955 is divided by 21929.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*h**5 - 3*h**2 - 9*h - 3 wrt h?\nAnswer: -2100*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86199 and 45135?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 6*w + 10. Find the common denominator of w and -26\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -76 - 17 - -130\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11715 - 8286. What is the highest common factor of y and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 19171.80308?\nAnswer: 19178.80308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 107 - 35. Let h be ((-6)\/9)\/((-3)\/x). Suppose 0 = -m + 11 + h. Solve 2*k + 2 = i, -5*i = k + m - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 579 in decreasing order.\nAnswer: 579, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 3\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56934.\nAnswer: 2, 3, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (1 - 5 - (-32 - -23))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3963 + 3966. Solve -u*t - 40 = -5*k, 3*t + 18 - 3 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/131790 and 95\/148598.\nAnswer: 51266310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748618.\nAnswer: 2, 13, 28793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = 0, 2*t - 3*t - 7 = -o. Solve 3*x + d + 1 = 5*x, -3*x - 6 = -o*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 5*v**2 - 4*v - 5. Let s be g(-5). Solve -5*x - s = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45*2.99\nAnswer: -134.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12*i**3 + 5*i**2 - 20*i + 42. Let a(n) = 2*n**3 + n**2 - 4*n + 8. Calculate -11*a(k) + 2*r(k).\nAnswer: 2*k**3 - k**2 + 4*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37805 is divided by 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(275)*2)**2 + -1 - ((sqrt(11) + 1 + -2)**2 - (3*sqrt(132) - sqrt(132))\/sqrt(12)).\nAnswer: 4*sqrt(11) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54159 or 704076\/13?\nAnswer: 54159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7877, -15751, -23625, -31499, -39373, -47247?\nAnswer: -55121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.217, 1.4, -1\/6?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**3*g**2 - 5*b**3 - 3*b**2*g**2 + 806*b**2*g - 128*b - 46 wrt g.\nAnswer: 8*b**3*g - 6*b**2*g + 806*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/75 and 7\/1194.\nAnswer: 29850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1936 and 772.\nAnswer: 373648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.0049 (b) -40 (c) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 741.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*p - 3085 = 0, 3*p = 4*f - 2*p - 6125. Does 71 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 772 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 192*t - 139. Calculate k(-3).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twelth of a minute?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -1\/30*m**6 - m + 18 - 89\/2*m**2 + 0*m**5 + 31\/3*m**4 + 0*m**3. What is the first derivative of g(w) wrt w?\nAnswer: -4*w**3 + 248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*q + 2*q. Let t(x) = -5*x**q - 6*x - 4 + 6*x**2 + 9. Let u be t(6). Solve 2*o = a - 0*a + u, -2*o = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:31 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (-51)\/(-9) - 176\/(-6). Let v = x + -23. Solve 2*w - 1 = 3*y - 3, -4*y = -2*w - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 5. Let k be n(0). Suppose 3*c - 2*w = -3*w + 14, 4*w = k*c - 29. Solve y = 2*v - 11, 2*y - 24 = -c*v + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-10)*(-1)\/(9\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 1, r: 1, w: 2, f: 1, c: 1, h: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2. Let z(c) = 35*c**2 + 33*c + 5. Let u(l) = -17*l + 4*l**2 - 18*l + 47*l + 2 + 8*l**2. Let y(r) = 11*u(r) - 4*z(r). Give x(y(h)).\nAnswer: -128*h**4 + 64*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + j**3 - 68706*j + 0*j**2 + 68712*j.\nAnswer: j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-14))\/(104\/91)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 163?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7200 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 764701 and 983187?\nAnswer: 6882309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**2 - 32*o**3 + 0 + 0*o**5 + 0*o**4 - 3\/70*o**7 + 1\/40*o**6 - 24*o. Differentiate n(s) with respect to s.\nAnswer: -36*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 13*v - 90. Suppose -v*b = -2*b - 78. Let h(t) = -t**2 + 7*t + 2. Determine h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33311 + -232?\nAnswer: -33543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 6*(1 + sqrt(125))**2 + (sqrt(125) + 1*sqrt(125)*1)**2 + (-3 + sqrt(125)*-3*-4)**2).\nAnswer: -300*sqrt(5) + 19269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(r*r*r\/r**4*r))**18\/(r**(-4\/9)\/(r\/r**6))**(2\/83) assuming r is positive.\nAnswer: r**(26810\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/5103 and -109\/1458.\nAnswer: 10206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - z + 127 = 0, 4*z + 25 = 3*q - 182. Let d be (-77)\/4 - 1\/(-4). Let u = -6 - d. What is the highest common factor of q and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 24*m - 25. Is 17 a factor of (-51)\/((87\/116)\/((-2)\/m))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -510597 (base 15) in base 6?\nAnswer: -214254211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -19*o**4 + o**2\/2 - 309*o + 448. Differentiate a(h) wrt h.\nAnswer: -228*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -5)\/((-2)\/(-181)). Let o = z - 96. Suppose -5*l = -0*l - o. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + v = 12, 3 = -2050*y + 2054*y - 5*v for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80266 and 268?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*l - 0*l - 40, 49 = 5*l - 2*c. Suppose -3 = 2*s - i + 5, 5*i - 10 = 0. Sort 2, -1, s, l in decreasing order.\nAnswer: l, 2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 121318544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o - 64*o = 6*o - 2299 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1725, -27238, -10 in descending order.\nAnswer: 1725, -10, -27238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:44 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 1134264*v - 1134262 = 0.\nAnswer: -567131, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 3*z - 1. Let j(i) be the second derivative of -i**5\/20 - i**4\/6 + 3*i**2\/2 + i. Let s be j(-3). Let c be (3 - 0)\/((-9)\/s). Give f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7092 + 7412. Solve -a + 74 = 41*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -12*p - 1. What is the tens digit of u(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*f**5 - 12*f**3 + 20*f**3 + 21*f**2 - 8*f**3 wrt f?\nAnswer: 2040*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1359 = 2641. Let o = a - 283. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - -1) + -2 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/8 in -5, -1, -8\/3, -914, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a + 1442 - 1734 = 79*a - 5128 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -4, 162, 3.\nAnswer: -12, -5, -4, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q - 1)*(-113*q**4 - 97*q**4 + 75*q**4).\nAnswer: -270*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -487 + 492. Suppose -l - 5*j - 15 = 0, r*l = -0*j + 5*j + 75. Calculate the lowest common multiple of l and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -17. Let x = 15.9941 - a. What is x rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -84, 0.5, -0.01, 58?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.0767 + 0.0767. Which is the smallest value? (a) t (b) 4 (c) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 1. Let i = 1 - -1. Let v be k(i). Let u = 2 - v. Solve 25 = -3*z - 5*q, -z + 15 = -5*z - u*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7473326925 take away 1.285?\nAnswer: -10.0323326925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)*2)\/(sqrt(250)*5).\nAnswer: 2*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (13\/39)\/((-3)\/(-27))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 6*v + 6. Let f(y) = 7*y**2 + 6*y - 1. Let x(i) = -6*i**2 - 5*i + 2. Let a(u) = v*x(u) - 5*f(u). Let d be a(-3). Solve -d = l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18490 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3721036 is divided by 349?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 - 30*k - 63. What is q(-2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -341*q + 586. Let t be b(2). Suppose 5*n + 4*u + 200 = 3*u, 3*n - 4*u + 120 = 0. Let f = n - t. Calculate the remainder when f is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/65 + -1*2\/(-5)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101465 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: What is -0.000028381 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*t**4 - 344*t**3 - 2089*t**2 - 2580*t - 900.\nAnswer: -(t + 10)**2*(4*t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/2 - 105*k**2 - 207*k\/2.\nAnswer: -3*k*(k + 1)*(k + 69)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10101101?\nAnswer: -10101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12532305 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 + -1 + (2 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 2869.\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(((-24)\/3316)\/3). Is -2*9\/6 - h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -0.2312.\nAnswer: 2.0808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuep when four letters picked without replacement from {z: 1, k: 1, q: 2, p: 1, u: 1, e: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.2. Let r = -531.01 + 531. Suppose 2*v - 3 - 9 = -2*d, -2*v + 4*d - 18 = 0. What is the closest to v in r, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foowvoq. Give prob of picking 1 v, 1 o, 1 w, and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3eacab (base 15) to base 11.\nAnswer: 1785654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 3 + -161 + -3 + 33.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-780)\/2925)\/((-2)\/36))\/(27\/45)*2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135.6 + -133.4. Which is the closest to 21? (a) -0.3 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**6\/z)\/z)\/z**(-2\/3)*z\/(z**7\/z*z)*z*z**(-6))\/((z**(2\/3))**(-1\/6)\/(((z*z*z\/z**(-7)*z*z*z)\/z)\/z**(5\/2))) assuming z is positive.\nAnswer: z**(59\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92113.\nAnswer: 7, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((4 - -12 - 0) + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -30. Let t = -27 + b. Let y be 130\/300 + (-3)\/t. Sort -2\/5, y, 2\/3 in decreasing order.\nAnswer: 2\/3, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3 - b**2*t + 2*b**2 + b*t - 44*b + 6 wrt b.\nAnswer: -18*b - 2*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -18. Let s(f) = 4*f**2 + f - 3. Let m be s(c). Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -137*a**3\/3 + 87*a**2\/2 - 15*a + 2. Is d(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a - 44. Give b(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 1. Let s(p) = -p**2 - 7*p - 1. Let i(t) = s(t) + 3*y(t). Determine i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 18*s - 77. Let a be b(9). Let u = 1\/25 + 4\/25. Let p = -0.04 + -0.26. What is the nearest to 0.06 in p, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11*9\/(-12))\/(6\/(-64)). What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -5*v - 3*d, 0 = -3*v + 7*d - 5*d + 287. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(10)\/(1*sqrt(18)) - (sqrt(720) + 3 + 5))**2 + 4.\nAnswer: 560*sqrt(5)\/3 + 6737\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3168584 and 3960730.\nAnswer: 15842920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -173\/5. Is -5\/6 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123200 by -700.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -14. Let w = r + 7. Suppose -k - 24 = -w*q - q, 2*k + 26 = q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + c + 3)*(-3*c**2 + 3*c**2 - c**3) + 0*c**4 - 4*c**4 + 2*c**4 + 2*c**4 + 3*c**2 - 3*c**2 - 2*c**4 - c**2 + c**2 + 6*c**4 - 6*c**4 - 2*c**4 + 9*c**3.\nAnswer: -5*c**4 + 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1645? (a) -1\/4 (b) -1\/2 (c) 1 (d) -1\/3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63408217 minus 3186.1?\nAnswer: -3186.73408217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(5)) + -2*sqrt(125))**2.\nAnswer: -50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 14*r + 4*m = -0*m - 43, -5*m = r + 17 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 8, 2\/35, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16882.2 and 267.9204.\nAnswer: 17150.1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211322?\nAnswer: 2, 157, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) + 7\/(105\/(-658527)). Let c = b - -69013. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 413, 750, 1103, 1478, 1881, 2318?\nAnswer: 2795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104053393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -403\/6 - -3155\/48. Let m = -9445813 + 7566103951\/801. Let l = -345\/178 + m. Calculate the common denominator of l and f.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/10 + (-39)\/6)*-4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.2 + -1949.\nAnswer: -1914.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16208 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from weiwwwwwexwi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-24)*2*(-26)\/403.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493012 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(704)*1 + sqrt(99)*5 - (sqrt(99)\/(sqrt(27)\/sqrt(3)) + (1 + sqrt(11))*-4)))**2.\nAnswer: 260*sqrt(11) + 7461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -23 - (222 + -200 + -1 + 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = -90*a + 8*a. Solve 2*g + 2 = -3*k + 4, 4*k - a = -4*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 39. Suppose -a*g + 55 = g. What is the remainder when (3\/(-4))\/(11\/(-924)) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81432308?\nAnswer: 2, 2647, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 39 = -3*t + 2*l + 2*l, 3*l = -6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxjxxjxxj.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + (-4 - (-1 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1513311 - 13?\nAnswer: 1513298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282 and 1128.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3592296743 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 12*p**2 + 10*p - 4. Let n = 29 - 18. Let i be h(n). What is the smallest value in i, -4, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3405257414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -323 - 4?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 574326037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**3 - d**2\/2 + d. Let x be h(-1). Let t(m) = -5*m + 1. Let y be t(x). What is the greatest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/5? (a) 0 (b) 166 (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 6*q + 10. Let s be i(8). Let b be s\/45 + 2\/15. Suppose -2*z + f + 12 = 0, b*z = -3*z - 3*f + 36. Solve 0 = 5*r + z + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1495489622, 1495489624, 1495489626, 1495489628, 1495489630?\n\"Answer: 2*a + 1495489620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 18*l - 36. Let b be k(12). Suppose o + 33 - b = 0. Solve -o*a + 5*a + 3 = j, -3*a - 6 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/((-16)\/480). What is the greatest common divisor of m and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/49 and 31\/70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107113402939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2 - -1) + -16 + 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6513166 (base 7) in base 8?\nAnswer: 3015560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/4*((-9)\/(-21) - -3). Let b be -2 + 8*(2 - j\/8). Let v be (-2)\/(-12) + (-22)\/(-12). Is v equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 1 (c) 3 (d) -139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 383225.3us?\nAnswer: 383225300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:08 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**3 + 15*x**3 - 7*x**3 - 4*x + 0*x**3 - 2*x**2 as y*x**3 + u*x**2 + d*x + n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let z(w) = 7. Let v(k) = -k - 6. Let q(j) = -2*v(j) - 3*z(j). Give q(l(d)).\nAnswer: 2*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*q*v + 14*c**2*q + 31*c**2 + c*v + q wrt q.\nAnswer: -c**2*v + 14*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-3))\/(5\/(-135)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30047490.\nAnswer: 2, 3, 5, 11, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11381640, -22763269, -34144898?\nAnswer: -45526527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p - p + 3*p)*(16*p - 19*p - 28*p) to q*p**2 + a*p + h and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6 - 26 = -5*j, -5*n + 7 = -2*j. Suppose y - 2 = -2*h - 0, 0 = 4*y - 3*h + 25. Let a = y + j. Solve a = 2*r + 5*x - 35, 2*r + x - 16 = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 131114 and 131110 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13645 is divided by 182.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 6*v - 4. Let f be 6 + -10 - (-39)\/v. Which is the nearest to -0.3? (a) f (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*h = -133*h + 52 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -18.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -767 + 2441 - 3*m**3 - 1674.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in -12, -5\/21, 2\/11, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z = 4*u - 93, -26*z + 2*u = -27*z + u - 3 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -352726 (base 8) to base 11\nAnswer: -82404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*w - 3 - 5, 4*w - 10 = d. Suppose -h - 5 = 0, -d*c - 5*h = c + 216025. What is c rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 2072.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18297 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from ehqkhbk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1022, 1040, 1076, 1136, 1226, 1352, 1520, 1736?\n\"Answer: j**3 + 3*j**2 + 2*j + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 466382?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270610 - 0.23034?\nAnswer: 1270609.76966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -2 - (-52 - -71 - 26).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mba. What is prob of picking 1 m and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54, 220, 496, 882, 1378?\n\"Answer: 55*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92552.\nAnswer: 2, 23, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.14 - -0.14. Is 10\/7 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4178491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5 - 7. Is 14 - (j - 1 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 11. Let r(o) = -2*o - 1. Let h be r(m). Put 5, h, 4 in decreasing order.\nAnswer: 5, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 - 20*x**2 - 50 + 125*x**3 - 47 - 4*x - 126*x**3 + 145 to the form u*x + g + b*x**3 + z*x**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 574856387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 1355, 3212, 5821, 9188, 13319, 18220?\nAnswer: 23897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441347.\nAnswer: 7, 13, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1854886, 1854864, 1854830, 1854784, 1854726, 1854656?\nAnswer: 1854574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6526)\/(-12) + (-2)\/(-12). Suppose 0 = 5*n - 4*u - 192, 72 = 4*n + 3*u + 4*u. Calculate the highest common divisor of n and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 + 68*r**2\/3 - 1156*r\/3.\nAnswer: -r*(r - 34)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03399 - 0.18?\nAnswer: -0.14601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 13*w + 61. Let a(z) = 13*z + 60. Let d(q) = 4*a(q) - 5*g(q). Calculate the remainder when 50 is divided by d(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1306, 8, -388, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 48 - -35) + 16 + -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 319*x - 5517. What is v(17)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**5 + 2*l**5 + 3*l**5)*(2 - 4 + 0) - 18*l + 1416*l**4 + 111*l**5 - 1416*l**4 + 18*l.\nAnswer: 107*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h - 6. Let o(p) = -60*p - 51. Let q(a) = -40*a - 34. Let g(z) = 5*o(z) - 8*q(z). Calculate -4*g(t) - 11*y(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3238381 is divided by 417?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = -3*f. Let b = -31 + -16. Let v = -46 - b. Sort v, 2, f in descending order.\nAnswer: 2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7343179806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*p**3 + 2*p + 159.\nAnswer: -123*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - ((-6)\/(-2))\/(-1). Suppose 7 - 11 = -z*u. Solve 2*q = 3*q + u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29771585 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -7\/3*a**3 + 1\/4*a**4 - 66 - 9*a + 15\/2*a**2. Determine h, given that b(h) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*s - 3, 4*s - 30 = 1546*n - 1548*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10243982 less than or equal to 74\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -317*z**2 - 312*z**2 + 19 + 637*z**2 - z**3. What is the remainder when 53 is divided by p(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61787, 62430, 63073, 63716, 64359?\nAnswer: 65002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 15*i - 57, -t + i - 7 = i + 7*i - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 670 - 674. Put 0, d, 96, 1 in descending order.\nAnswer: 96, 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 7. Determine v(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22482 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 4}. What is prob of picking 2 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -850*y**5 - 136*y**4 - 4*y**2 - 10268389*y?\nAnswer: -17000*y**3 - 1632*y**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 6 + 126 = 0. Suppose -12*u + z*u - 32 = 0. Suppose u*f - f + 2*p - 1233 = 0, -p = 3*f - 1233. Round f to the nearest 10.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.1 + -3.4. Let f = 14 - p. Which is the nearest to -0.1? (a) 4 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44519539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -24. Let o be 24\/v - (0 + -2). Let p = -1 + -3. What is the third smallest value in o, 2\/17, p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.9 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 122. Let d be 1 + 1 - q*(3 - 0). Solve 4*f - d = 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-27 + (-2 - -21))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 16807.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cfzsczicszfzccsc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1453398 divided by 1453398.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3615.\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(1\/4))*f)\/f)**(-4)\/(f**3)**(-2\/5) assuming f is positive.\nAnswer: f**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/21 + 177392*d\/21 + 3933490208\/21 = 0. What is d?\nAnswer: -44348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18 + 22)*(-34)\/(-8). Suppose 412 = 21*i - f*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 1\/3, 0.9, -3\/10, 0, 19?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 5*b**2 + 3*b + 1. Let p be d(-2). Suppose 483*x - 493*x = -1140. Let m be (x\/152)\/((-3)\/(-112)). Solve -3*w - m = -4*i - p, i = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {r: 3, v: 1, g: 5, f: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1027749 and 11803.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -15*u**2 + 6. Let z(c) be the third derivative of -c**4\/12 - 59*c**2 - 1. Calculate z(g(o)).\nAnswer: 30*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 914298 divided by -77.\nAnswer: -11874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139119, -139118, -139117, -139116?\nAnswer: -139115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2685893 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 64. Give r(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 3*o - 2. Suppose -m = -5*k + 14, 0 = 4*m + 2*k - 0*k + 34. Let l be ((-6)\/(-9))\/((-2)\/m). Suppose l*q = -15 + 9. Determine y(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 + 3*s + 3. Let i(n) = 4*n**2 + 4*n + 3. What is the remainder when l(5) is divided by i(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 8. Let c be -28*(0 + a\/4). Suppose 0 = 186*w - 210*w + 840. Are c and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42470563300 and -0.618?\nAnswer: 42470563300.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -948, -1, -12, 5.267?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllallllllllallalll. Give prob of picking 1 a and 3 l.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h**4 + 47*h**4 + 16*h**4 + (4*h**2 - 2*h**2 - 4*h**2)*(-6*h**2 + 6*h**2 - 11*h**2) + 3*h**4 + 0*h**4 - 4*h**4.\nAnswer: 71*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -310222200?\nAnswer: -310222134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*r = -55, 5*u - 35 = 2*r - 3*r. What is the common denominator of (-2 - 0) + 19\/u and 109\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4579 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 3*t**2 + 6*t - 4. Let x be g(4). Let v be -2*(-2 + x)\/(-4). Solve v = 3*d - l, 0 = -5*d - l - 0*l - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37 + 3. Suppose -15*z = -19*z + y. Solve 3*g = 5*g - z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110816172?\nAnswer: 2, 3, 227, 1142003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n - 44 + 37 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 774310719 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 w when four letters picked without replacement from whcw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -628, -854, -690, -136, 808, 2142?\n\"Answer: 195*v**2 - 811*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2205) + 3 - (-2*sqrt(45) + -1 + (sqrt(45) - (-1 + sqrt(225)\/sqrt(5))) + sqrt(45)))**2.\nAnswer: 240*sqrt(5) + 2905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/87174 and 28\/163827?\nAnswer: 9501966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1136437346*d**3 + 2*d + 131758783 wrt d.\nAnswer: -6818624076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arjvrzjzjznnn. What is prob of sequence az?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-7)))\/(d\/d**(-38)) assuming d is positive.\nAnswer: d**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0948289322 - -0.2?\nAnswer: 0.2948289322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110000110010111 (base 2) to base 7\nAnswer: 132560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 = 20*k - 66. Sort -13, k, 4.\nAnswer: -13, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 445303.6 kilometers?\nAnswer: 445303600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 85*q**2 - 51. Suppose 24 = 30*x - 24*x. Let v(b) = -28*b**2 + 17. Let n(y) = x*o(y) + 11*v(y). What is the first derivative of n(i) wrt i?\nAnswer: 64*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.083 + -0.177. Let t = 0.285 + v. Round t to 3 decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 38 - 46)*(4*l + 2*l - 4*l) as z*l + x and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-12)\/(-8)*-1. What is the smallest value in 0.3, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 2 + 6*g**2 - 8*g**3 - 3*g**2 - 4*g to the form u + k*g + v*g**2 + l*g**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-881)\/(-9)*(-1 + 3). Let q = r + -196. Sort 2\/7, 0.4, q.\nAnswer: q, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0 - 1\/3*k**3 + 0*k + 1\/24*k**4 + 10*k**2 - 1\/12*k**5. Let w(d) be the first derivative of j(d). Calculate w(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = 3*a - 6, 5*k + 22 = a. Let t = 20 + -16. Is 180\/t*a\/(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-21)*1302\/(-186))\/((-6)\/27*-1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-15) - 122\/(-6). Let a(t) = -t**2 + 4*t + 3. Let j be a(4). Suppose j*z = 13 + m. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4.7. Let p be 425\/(-875) - ((-4)\/(-5))\/(-4). Suppose 5*r - 4*n = 3, -4*r - 15 = 3*n - 5. What is the nearest to -2\/5 in k, r, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279 and 923060247?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174319 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-1344))\/((-1)\/(4\/(-5)))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1548, 1527, 1492, 1443?\n\"Answer: -7*v**2 + 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/724 and -111\/20.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(1\/(-6)*-2). Let k = 4 + 12. Solve -t = g*t - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*j**3 + 50*j**3 + 136*j**3 + 340*j**3 + 355*j**3.\nAnswer: 1251*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-10) + (-84)\/(-35). Let t be 0 - 2*(-1 + 0). Suppose 12 = m*f, -v + t*f = v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6165*m - 6860*m + 12983*m.\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = s + 7*u - 52 - 58, 5*s + 3*u - 1255 + 1221 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 32. Let l(f) = 3*f + 24. Let z(d) = 4*l(d) - 3*x(d). Give z(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 198\/4*((-85)\/(-15) + -3). Calculate the highest common factor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (50\/40)\/(1\/(-8)). Let x = -2 - i. What is the second derivative of 6*z**2 - 4*z**2 - x*z + 0*z**2 + 7*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1295029000\/3 + 2593622300\/3*f + 3570841\/3*f**3 - 1302160870\/3*f**2 + 1\/3*f**5 - 3272\/3*f**4 = 0. What is f?\nAnswer: 1, 1090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 382, 466, 534, 580, 598?\n\"Answer: -t**3 - 2*t**2 + 97*t + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 12*v - 29. Let r be u(-8). Suppose 0 = 3*q - 7*q. Suppose -r*b + 130 + 29 = q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 6*t + 5. Suppose -2*j + j - l = -7, 4*l = 5*j - 35. Let c be w(j). List the prime factors of (3\/((-3)\/(-166)))\/(0 - c).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6907 is divided by 1398?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1506\nAnswer: -1\/1506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202000111210102 + 2?\nAnswer: 202000111210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3\/(-9)*-6. Let k be 10 + -3 + 3 - 6. Suppose 3*v - k*x - 340 = 0, 0*v = 3*v + m*x - 380. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5102 times -0.2\nAnswer: -1020.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, -2\/9, -375, -0.93, -57?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -283*t - 21513. Give a(-76).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2452\/(-175318))\/(8\/(-78)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7886637*r**5 + 6092409*r**2.\nAnswer: -473198220*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + 7*t + 3. Let g(u) = 3*u**2 - 6*u - 3. Let w(l) = -2*d(l) - 3*g(l). Let x be w(6). Let s = x + 22. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m - z, 6 - 22 = 4*m + 4*z. Let a be (-2*m - (0 + 2))*-1. Sort 3, a, 5 in decreasing order.\nAnswer: 5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.08 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/5 (c) -2\/13 (d) 601\/5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 8:35 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13825\/23 - 601. Let t(s) = s + 1. Let d be t(-1). Is v at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - 26*d**2 - 3*d + 6. Let l(t) = t**3 - 9*t**2 - t + 2. Let v(a) = -8*l(a) + 3*q(a). What is v(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 - 15)*(500 - 500 - 119*y).\nAnswer: 1904*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*n + 171*n + 180*n - 513*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let v(u) be the second derivative of u**3\/6 - u**2\/2 + 8*u. Let t be v(11). Let z(b) = b - t*b - 2*b. Give w(z(r)).\nAnswer: -121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -23 - -24) + (-58 - 17)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 + 5*i**2 - 2. Let w be (-2)\/(44\/5782) + (-34)\/187. Let u = 257 + w. Let k(z) = -3*z**3 + 6*z**2 - 2. Give u*t(a) + 5*k(a).\nAnswer: -3*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 6*o + 4*o)*((o + 2 - 2)*(-5 + 2 + 1) - 14*o + 10 - 10).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0. Let p = 16 + -56\/3. Find the common denominator of p and (v\/12)\/((-3)\/172).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57149 is divided by 7143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 48 = -5*r. Let o be (-3 + 3)\/5 + 7. Let c = r - o. Let z(x) = -2*x**2 + 4. Determine z(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u = -33*u + 3256. Suppose -3*v + u - 88 = 0. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1752986701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 + 6*k - 13. Let p(q) = 8*q**2 - 7*q + 14. Determine 6*o(f) + 5*p(f).\nAnswer: -2*f**2 + f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**7\/1155 - y**6\/330 + y**5\/330 + 5*y**2. Factor q(h).\nAnswer: 2*h**2*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3040 + -342. Let z = -33739\/10 - d. Let g = -1916\/3 + 647. Calculate the common denominator of z and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 + 5*x**2 + 6*x - 7. Let n(y) = -y**3 + y**2 - 1. Let f(v) = m(v) - 2*n(v). Let d be f(4). Solve -q - 8 = d*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.4308541 - -3.\nAnswer: 34.4308541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-81) - (-58)\/18. Suppose t + 1 = s*q, 3*q - 6*q = -6. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**2 + 280*n - 1763. Calculate y(49).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(0 + sqrt(1377) + -3 - (3 + (sqrt(1377) + -3 - sqrt(1377)) - sqrt(1377))) + -2))**2 + 5.\nAnswer: -10692*sqrt(17) + 447242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(70) + sqrt(70))*2)\/(sqrt(110)\/sqrt(396)))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {u: 5, x: 7, p: 1}.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*s + 426. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + j + 10. What is the units digit of j\/(-3) - (-32)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -58 and -1\/333 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1094*d**4 - 321*d**4 - 1820*d**4 - 36*d wrt d?\nAnswer: -38820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.95 - 0.05. Let w = -2 + 2. Let f = -0.4 + w. Sort f, 0, z in ascending order.\nAnswer: z, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 83. Let v(l) = 6*l - 82. Determine -7*c(j) - 6*v(j).\nAnswer: -22*j - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9787260 to the nearest integer?\nAnswer: 3128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 3976625?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -3, -16 in decreasing order.\nAnswer: -3, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 - 830\/(-14). Let d be 9\/6 - s\/34. Let u = 37\/85 + d. Is u greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 + 4*l + 2. Let o(t) be the first derivative of u(t). Let y(w) = 4*w**2. What is y(o(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 518132 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25808187 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, -7, -79, -189, -343, -547, -807, -1129?\n\"Answer: -k**3 - 10*k**2 - 3*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*x + 58. Let j = x + 16. What is the third biggest value in j, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let b be (-3)\/(12\/j)*-10. What is the third biggest value in b, -2, 0.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(1 + sqrt(5))**2 + sqrt(5)) + 5.\nAnswer: 39*sqrt(5) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2333 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 7*b**2 - 3. Let g be c(7). Let u = 5 - g. Suppose 0 = -3*z + 2*z + u. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 834289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let g(z) = z**2 + 19*z - 151. Let c be g(6). Sort l, c, 5 in ascending order.\nAnswer: c, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 17 - 53. Calculate the least common multiple of h and 86.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 1\/3*u**3 + 207 - 2*u + 0*u**2. What is w(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2 - 3*g**2 + 2629*g + 2*g**2 - 2626*g - g**3. Calculate c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2167)\/(-8188) - 1\/4. Let d = c - 268697\/36846. Let r = -127\/1340 - -3\/67. Find the common denominator of d and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 t when three letters picked without replacement from zrtuhhts?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (35\/(-14) + 2\/4)*-2. Suppose -5*i - 5*u = -i + 7, -2*i = x*u + 8. Is 16 a factor of (i\/4)\/(3\/6) + 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136 - 287 + 25*y**2 + 145 wrt y.\nAnswer: 50*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331506 divided by -2\nAnswer: -165753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 11*t**2 - 8*t - 56. Suppose v + 4*g = -24, -13 + 29 = -4*g. Let y be a(v). Round y to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14138*w**3 + 42294*w**3 - 14118*w**3 - 14085*w**3.\nAnswer: -47*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.152765 rounded to one decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 46.16821 decades?\nAnswer: 5540.1852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 5930.\nAnswer: 5930.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 3\/13, -0.5, 0.17, -1?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d**2 - 3*d + 3. Let k(a) = a**2. What is 2*k(o) + r(o)?\nAnswer: -10*o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659 is divided by 1027?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*w - 29, 127*w - 129*w + 14 = 2*j. What is the remainder when 32152 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 327*n - 151*n**2 - 358*n - 3 + 3 in the form u + b*n**2 + i*n and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2, -0.11, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1032048902?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -20. Let m be (-170)\/(-6) + r\/12. Suppose -m*u + 22*u = -195. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -3*k + 2*z, -2*k + 0*k + 50 = z. Let l = k + 15. What is the highest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + u = -2547, c - 2*u + 2032 = 5*c. List the prime factors of c.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -933, -3763, -8521, -15249, -23989?\nAnswer: -34783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107342 is divided by 2466?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1539 and 14661?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**46 assuming m is positive.\nAnswer: m**(-184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101111 + 101?\nAnswer: -1001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 8:51 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 431035 - 232908. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285882285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5722651?\nAnswer: 11, 520241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 26*o**2. Let d = -831 + 831. Let q(r) be the first derivative of -2 - 1\/3*r**3 + 0*r + d*r**2. Calculate q(s(h)).\nAnswer: -676*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 407 - 191. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 121, 118, 115, 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - z**2 + 5*z - 4. Give b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 2*w**7\/105 + w**6\/15 + w**5\/15 + 8*w**2. What is x in n(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652*u + 118*u = -54468. Calculate the highest common divisor of 6358 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + (-14)\/(-6). Let a(u) = -2*u - 10. Let g be a(-6). Differentiate 2 - o**2 + o**2 + g*o**l with respect to o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 1:14 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 600 and 5672?\nAnswer: 425400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -9.97. Let u = x - -0.07. What is the second biggest value in 5\/2, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/2*(7 + (4 - 9)). Suppose 91 = 2*d + 8*a - q*a, d - 3*a - 43 = 0. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -20. Let a(p) = -90*p + 2. Let o be a(l). Suppose o = -3*u + 575. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 121 - 26 = 0. Suppose 0 = 5*i - 4*u - 36847 - 16538, 0 = -g*u - 25. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8608, -8610, -8612, -8614, -8616, -8618?\nAnswer: -8620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*o**3 - 2*f**2*o + 299403*f**2 + f*o**3 + 2483*f*o**2 + 13*o - 5 wrt f.\nAnswer: 4*o**3 - 4*o + 598806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39\/7*q**3 - 57\/7*q**2 + 33\/7*q - 9\/7*q**4 - 6\/7 = 0. Calculate q.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-1 - -3) - (-153 + 155)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 3*s + 2. Let c be x(3). Suppose -12 = c*a + 4*b, -4*b + 6*b + 6 = 3*a. Solve 4*n - 28 = -4*u + 8*u, -5*u + n - 23 = a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1375 - -1410. Let d(q) = -q. Let v be d(-7). What is the greatest common divisor of z and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3051 + -3085. Are 33 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + 295*o**3 - 293*o**3 + 2 - 5*o + o**4 in the form g*o**2 + z*o**4 + r*o + d*o**3 + x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 24 = -4*t. Solve 3*u = -5*o + 8, 0 = -t*o + o - 4*u + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from mmmumulml?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 9, -4\/5, 0.01, 2.14?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -4*z + 1 + 0*z**2 + 4\/3*z**3. Find the first derivative of w(b) wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64.15639 centuries?\nAnswer: 76987.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*i - 1 = 3, 3*i - 7 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r + 4. Let d(z) = -z**3 - 18*z**2 - 16*z + 12. Let i be d(-17). Let w be f(i). Let m = w + -11. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**2)\/f)\/((f*(f\/f**(-3\/5))\/f*f)\/f*f)*((f\/(f\/f**(2\/9)))\/f)\/(f*f\/(f**13\/f)) assuming f is positive.\nAnswer: f**(253\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 + -1)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Let u(l) = -l**2 - 28*l + 489. Let i be u(-40). Suppose 0 = q*a + i, 2*p + 650 = 4*p + 4*a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 982 - 995. What is the closest to 0 in -8, 1\/4, s, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 5*a - 147 = -14*v, -5*v + 5*a = -315. Solve r + v = 67 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocvappv. Give prob of picking 1 p and 1 c.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 2. Let n(c) = -1559*c + 18*c**2 + 1559*c - 21*c**2. Let b(w) = -w**3 - 5*w**2. What is l*n(h) + 3*b(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 63*m**3 - m. What is the units digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 + 47*k**4\/4 - 370*k**3\/3 - 1240*k. What is the second derivative of u(t) wrt t?\nAnswer: 6*t + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -14. Suppose 4*c = -f*c - 0*c. Solve 2 = p - c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 76 + 66 = 2*n, 4*n - 8*n = m - 28 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70289646 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 1197354*b - 5986845.\nAnswer: 3*(b - 5)*(b + 399123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 + 241. Let m = y + 7. Let l = -85 + m. What is the nearest to l in 0.3, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.906514 rounded to three decimal places?\nAnswer: -43.907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -10*m**5 + 292*m**4 - 4651*m**3\/2 + 5894*m**2 - 11859*m\/2 + 2079 = 0.\nAnswer: 1, 3\/2, 77\/10, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.97039 - -0.97. Round w to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 7*l - 13*l + 6*l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1973169 and 45.\nAnswer: -88792605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**2\/5 + 1212*x\/5 + 1192 = 0.\nAnswer: -298, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(30)*-2)\/sqrt(10) + (sqrt(12) - sqrt(12)*-2*-2))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1464600*a**3 + 2905594*a.\nAnswer: -8787600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1713707, -6854823, -15423351, -27419291, -42842643?\n\"Answer: -1713706*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + (2\/(-4) + -1)*267\/((-24831)\/682)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12456*r**3 - 4215*r**3 - 4125*r**3 - 4103*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19695 and 2071447885.\nAnswer: 6565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/(-12))\/(-26)*6*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x - 1. Suppose 2*y - w - 5 = -y, -2*w = 3*y + 1. Let m be -2 + 1 - (y - 3). Let o be h(m). Solve -3*i + 5*k - o = 0, -4*k = 3*i - 0*k + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*i**2 - 44*i**2 - 52*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/952 and 127\/5236.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*i - 9 = 0, -v + 3*i = -1 + 2. Let r(w) = v*w**2 - w**3 - 5*w + w**2 + 1 - 5. Let a be r(5). Let q(b) = b**3 + 4*b**2 + 3*b + 6. What is q(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = t + 351. Solve t*y + 33 = 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003604096 rounded to six decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + 1.1. Let w be (-36)\/40 + 4\/10. What is the closest to w in u, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(0 - 3 + 12)*(3*h + 2*h**3 - 9*h - 4*h**3) as z*h**3 + m*h**2 + f*h + b and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l**2 + 7*l - 6. Let w(s) = -s**3 - 6*s**2 + 8*s + 1. Let m be w(-7). Let q(d) = d**2 - d + 1. Calculate m*q(f) - c(f).\nAnswer: 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + -8. Let o = 10540.1 + -10523.100043. Let r = s + o. Round r to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1407 divided by -1.\nAnswer: 1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -17591597\nAnswer: -17591597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**2*u**2*z + 5*r**2*u*z - 2*r**2*z + r*u**2*z + r*u**2 - 7*r*u*z - 2*u**2 wrt r.\nAnswer: -6*u**2*z + 10*u*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00292 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7)*v*v**(-6\/13)*v*(v**(-2\/35))**(-1\/13))**(-28) assuming v is positive.\nAnswer: v**(-236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(21)*-5)\/sqrt(7).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 9 = -2. Let u be (0 - (-4)\/(-1))\/a. Let b(r) = r**3 + 3*r**2 - 4*r - 2. Give b(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - t - 3. Let i(l) = l**2 - l - 27. What is -i(n) + 4*p(n)?\nAnswer: -5*n**2 - 3*n + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/104 and -53\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1183 and -0.2.\nAnswer: 236.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 64*c + c**2 - 64*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20320 and 1648.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u. Let a(j) = 2*j + 11. Determine l(a(m)).\nAnswer: -6*m - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 462 + 504 = 0. Let p(b) be the first derivative of -1\/3*b**s - 1\/2*b**2 + 2*b - 9. Factor p(z).\nAnswer: -(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 5254, -0.05, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 182089242?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2180 divided by 436.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 860 = 2*q - 1254. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:59 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1381 greater than -10\/129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**5 + 129710*c**4 + 8667740*c**3 - 9964890*c**2 - 78010065*c + 79177500 = 0.\nAnswer: -25875, -68, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8017*j = 8019*j + 10, 2*j = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70485, 140984, 211483, 281982, 352481, 422980?\nAnswer: 493479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 + 68 = 0. Let c be (-4)\/s*4 - (213 + 1). Let m = 313 + c. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n*r*u + 68*n*r + 4*n*u**2 + 8*r + u**4 with respect to u.\nAnswer: -5*n*r + 8*n*u + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(21\/16) - 1\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -0*v. Suppose -3*l - 12 = v*a - 4*a, 0 = 4*a. Let s(g) = -g**3 - 3*g**2 + g - 1. What is the tens digit of s(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.6 and -17329009185.5.\nAnswer: -17329009183.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 5. Let q(o) = o. Does 2 divide q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 165*p - 13 - 17 = 163*p, 0 = -4*g - 5*p + 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c**2 + 9*c**2 + 2*c**2 + 9*c**2.\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/3 - 1\/3. Let g be (-1)\/(6\/4) - 6\/(-18). Which is the third biggest value? (a) -7 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a. Suppose r + 5*y = -0*r + 28, 20 = 2*r + y. Let t be x(r). Let i = -1 - t. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 6*q. Let n be f(-6). Let r(l) = -2*l + l + l**2 + 2*l - 5. What is r(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 10566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*w - u + 4, 3*w + 4*u - 4 = 0. Suppose 2*i + i - 18 = w. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151330000 rounded to the nearest one million?\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzhhmzggthlgmhggmzz. Give prob of picking 2 g.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 807696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 1}. Give prob of picking 1 a and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229106, -229104, -229102, -229100, -229098?\nAnswer: -229096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c\/c**4))\/c)\/(c\/c**(-6)))**(-9)\/((c**(2\/9)\/c*c)\/c**5*(c*c**(1\/4))\/((c*c\/(c\/c**(4\/7)))\/c)) assuming c is positive.\nAnswer: c**(7837\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*l - 10 + 171*l - 17 - 101.\nAnswer: 3*l - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(9072) + -4 - (sqrt(9072) + 1 + -4 - sqrt(9072)) - (2*(sqrt(9072) + sqrt(9072)*-1 - sqrt(9072)) + -2)) + -2)**2.\nAnswer: -72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-1190))\/((2\/(-28))\/(66\/132)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -24520\/3*x**2 + 20*x**4 - 218*x**3 - 15616*x + 2\/3*x**5 - 7680 = 0.\nAnswer: -24, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 - 33*u - 8. What is the least common multiple of d(-7) and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35766.0945 to the nearest 10.\nAnswer: -35770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 328 + 156 + 160 + (0 - 6 + 4)*(-p - 3 + 3).\nAnswer: 5*p - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69833 is divided by 23275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 35 - 68. What is the remainder when 108 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * 1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 73695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 - x**5\/60 + x**3\/6 + 2*x**2. Determine v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -3 + sqrt(108) + -2)*5)**2.\nAnswer: -3000*sqrt(3) + 11425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140867 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1553.1*0.2\nAnswer: 310.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Which is the nearest to 0.1? (a) d (b) 2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 - -0.03. Let s = n - -6.35. Let z = s - 2.2. Which is the third smallest value? (a) z (b) -1\/10 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/((sqrt(12) - (sqrt(144)\/sqrt(4))\/sqrt(3)) + sqrt(12)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 8*k**2 + 7*k + 1. Let b(p) = -p**2 + 5*p + 1. Suppose 6*l - 25 = l. Calculate the remainder when b(l) is divided by u(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24*(-12)\/72*(-2)\/244. Which is smaller: l or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1\/10 (b) 27 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2246\/11 - -204. Let d = 16.1 + -10. Let r = d - 1.1. What is the nearest to 0.1 in a, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 6. Solve 2*d = 3*d - 3*h, -p*d - h = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.78?\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*d + 2*d. Suppose d = 3*u - y - 0, -u + 23 = 4*y. Solve 0 = -4*i - 2*h + 18, u*h + h - 14 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 7*r**4\/12 + 5*r**3\/6 - 216*r**2. Let k(n) = n + 1. Let q(s) = -6*k(s) + o(s). Let i(j) = j - 7. Let l be i(6). What is q(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 157 = 6*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*a + 5*y, 67*a + 3 = 69*a + y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -d + 21, -7*c + 8*c - 3*d = -3. Suppose 10 = c*t - t. Factor 3 + 3*j + 1\/9*j**3 + j**t.\nAnswer: (j + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*u + 6, 2*u - 5 + 38 = 5*l. Solve -l*m = n - 10, 9*n - m = 8*n - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -7 (c) -9\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 55?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.532574 kilometers?\nAnswer: 4532574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 - 5136*h + 39434 with respect to h.\nAnswer: -2*h - 5136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {i: 1, z: 1, s: 4, e: 4, c: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 + -163. Let i = 226506.9934 + -226482. Let a = i - f. What is a rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 29*y**3 - 39. Let m(i) = -44*i**3 + 58. Calculate 5*m(n) + 7*w(n).\nAnswer: -17*n**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-20)\/((d*d\/(d\/d**2))\/d)*(d**(3\/7))**(-46) assuming d is positive.\nAnswer: d**(-292\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(8\/72)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96074182 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**4\/4 + 10*s**3\/3 - 11*s**2\/2 + 10*s - 50. Let u(i) = 3*i + 13. Let t be u(-8). Give v(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2291*o + 8427 + 2875 = 3273*o + 2464 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 22 + -2 + -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 3*j + 24 - 3, -5*j = -2*p + 35 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 10*a**2 - 8*a - 9. Let h be n(9). Let j = -4 - -8. Factor 8*t**3 + 12*t**j + 5*t + h*t - 5*t.\nAnswer: 4*t**3*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + (5 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 - 9236*o\/7 + 21325924\/7.\nAnswer: (o - 4618)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -4*j - 4*x, -5*j + 227 = -9*x + 7*x. Which is bigger: 48 or j?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*g + 17*g - 714 = 22*g. Suppose -2*x - x + 117 = 0. Calculate the remainder when x is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27835 (base 11) to base 16\nAnswer: 9ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 600 or 601?\nAnswer: 600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -115b24 - -23a?\nAnswer: -1158a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4236 (base 9) to base 10.\nAnswer: -3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144416579 rounded to three decimal places?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6*n = 4. Does 9 divide (-1)\/1 + n - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10234 divided by -301.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 4 (b) 1\/2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 191*s + 9*s - 81*s + 9*s - 135*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 92118.2ng?\nAnswer: 0.0000000921182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 divided by 50?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 6, a: 3}. Give prob of picking 3 t.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 6163.\nAnswer: 616.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/1381 + -16550\/15191. Do -1\/6 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -113*u + 4184. Let q be x(37). Solve 0 = -3*f + 17*g - 16*g + 6, q*f + 4*g - 6 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (854\/(-105) + 6\/45)\/(-2). Suppose -o*s + w - 105 + 354 = 0, -5*w = -3*s + 174. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 89, 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2)**(-16))**15 assuming w is positive.\nAnswer: w**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 2*q**2 + 0*q - 1\/60*q**5 + 0*q**3 + 0 - 1\/120*q**6 + 0*q**4. What is the third derivative of h(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0859 plus -1174?\nAnswer: -1173.9141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0134932 - 52578573\nAnswer: -52578572.9865068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 + 2*d - 3. Let x(i) = -5*i - 28. Let g be x(-5). What is u(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 13*d**2 + 11*d + 26. Calculate m(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 1\/20*w**5 - 12*w - 4\/3*w**3 + 7\/12*w**4 + 2*w**2 + 0. What is the units digit of k(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10. Suppose d = 4*x - 4*i - 556, 3*i = -3*x - 0*x + 387. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -91, -131, -207, -331?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60 - 111 + 293)*(-1 + 2*j**3 + 1) to l*j**3 + y*j**2 + k + x*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5.024 times 1359\nAnswer: 6827.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. What is the third derivative of v**3 + 3*v**3 - 2*v**j + 2*v**3 - 2*v**3 wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.227874ml?\nAnswer: 0.006227874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392328 is divided by 140.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -15*j**3 - 1018*j**2 + 132*j - 235. Give o(-68).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-8))\/(3\/(-12)). Is 1\/37 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22070.97 - 22071. What is the nearest to 1 in 5, 8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 364893, 729078, 1093263, 1457448, 1821633?\nAnswer: 2185818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -12*t + 38. Suppose c + t = 1, b - c - 91 = 0. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -v + 25, 13 - 18 = v. Let q(i) = i**2 - 8*i - 2. What is q(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 512 + -509. Let d = -9 - -14. Let a be (-85)\/(-25) + 3\/d. Solve -i*f + a = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -95 and 804.\nAnswer: -76380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -449*j**4\/2 - 1418*j - 648. Differentiate q(d) wrt d.\nAnswer: -2694*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 5. Suppose -q*v = -v - 214. Let l = 152 - v. Calculate the greatest common divisor of 30 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/35*(-595)\/2142.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -402*z**2. Let h(b) = -5*b - 8. Give g(h(p)).\nAnswer: -10050*p**2 - 32160*p - 25728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424862 is divided by 75?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3712 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -a7?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 2633*v**2 - 3 + 0*v + 3*v. Let h be k(-7). What is h rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 542 + -538. Which is the second biggest value? (a) -1 (b) -0.5 (c) s (d) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -53, 10789 in descending order.\nAnswer: 10789, 25, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 9. Let y be (1\/(-2))\/(2\/(-24)). Let t be z(y). Solve 0 = -t*c - 3 - 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1165 - 3578 - 1760 - 2977*l + 164 - 3133*l wrt l.\nAnswer: -6110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 36?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 55*c**2 - 91*c - 1292. What is d(57)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*k + 1 = 0, -3*w + k + 3 = -2*k. Let j be (-2)\/(w + (-56)\/26). Suppose -3*s = -2*s - j. What is the remainder when 25 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 12 = -3*w + 13, 3*w = 2*x - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87812.999950509 + -87813. What is s rounded to 6 decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -513351 - 1520?\nAnswer: -515071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 804 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-5)\/(-3) + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108245 - -24866?\nAnswer: -73268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1202022121?\nAnswer: -1202022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -212, -477, -742, -1007, -1272, -1537?\n\"Answer: -265*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9652383, -9652403, -9652423, -9652443?\nAnswer: -9652463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7680055, -15360108, -23040161, -30720214?\nAnswer: -38400267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g**(-11)\/g)\/(g*g\/(g*g\/(g*(g\/((g\/(g\/(g**12\/g)*g)*g)\/g))\/g*g))*g*g*g*g\/(g**(-4)\/g)) assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -36*n**2 - 3*n + 3. Let p(z) = 37*z**2 + 4*z - 4. Calculate -3*p(k) - 4*t(k).\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3142, -3143, -3144?\nAnswer: -3145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and 855125.\nAnswer: 17957625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.151607668 and 5.\nAnswer: -12.151607668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-112)*(-4)\/((-36)\/15)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 36. Let m be (-1)\/(-5) + -1 + (-616)\/(-20). Suppose -i - 6 + 11 = a, -4*i - 2*a + m = 0. Calculate the smallest common multiple of i and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 16*t + 40. Let r be 0*(t + -5) - (-17 + 2). Solve -4*a + r = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**5\/60 - 47*n**2\/2 + 55. Let d(z) be the second derivative of a(z). Let f(o) = 2*o + 21. Calculate d(f(k)).\nAnswer: -4*k**2 - 84*k - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61328047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23887784 is divided by 2855?\nAnswer: 2854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 5\/2 (c) -6 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14059*v + 7033*v + 7025*v. Let i(w) = 2236*w. Determine i(t(s)).\nAnswer: -2236*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -371 + 382. Suppose 3*w - u*h - 38 = -6*h, 4*w = 2*h + 32. What is the least common multiple of w and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4 + 16 = 0. Let m(z) = 14 - 3*z + 5*z - z. Let w be m(a). Solve 2*h - 3*h + w = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 9, c: 1, s: 1}. What is prob of sequence sd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 46*l**2 - 8*l + 1. Is u(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13779525 is divided by 181.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**38)**(-30)\/((y**0)**33*(y**0)**(-2\/13)) assuming y is positive.\nAnswer: y**(-2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 361, 3, 5, 0, -2 in ascending order.\nAnswer: -2, 0, 3, 5, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, 0.\nAnswer: -4, 0, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15984\/(-13764))\/(2\/(-31)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 70.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590 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: Let z(y) be the second derivative of 19*y**3\/2 + 2*y. Let d be z(3). Suppose -d = -4*a + 633. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 6*h - 7*h**2 + 0*h**2 + (h**2 - h + h)*(-1 - 3 + 2).\nAnswer: -9*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7121\/7 + -1017. What is the smallest value in 5, 4, 1\/24, y?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 4, l: 4, f: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 871180 and 688.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**2 + 4266. Let r(b) = -76*b**2 - 5*b. Calculate l(r(d)).\nAnswer: 152*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -242833 + -26?\nAnswer: -242859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3)\/(-6)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -11 in decreasing order.\nAnswer: 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 0.01.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -984, -1968, -2952, -3936, -4920, -5904?\n\"Answer: -984*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = 4*a + 4, -4*a - 4 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 3.2. Let c = y + -3.1. Let v = -62\/143 + 8\/13. What is the biggest value in v, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/1040*((-31)\/(-186))\/(6\/(-20))?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465115593.\nAnswer: 3, 155038531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 35. Let r be s(-18). Let v(x) = 0 - x + 1 - 5*x + 0*x. Is 2 a factor of v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12292 + -3305. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104860\/30 + (3 - 35\/15) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-6))\/((-4)\/6). Suppose -z = b, -4*a + 9 = z - 0*z. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 2*d**2 - 1. Let y be k(1). Let z(u) = -4*u**2 - 222*u + 953. Let c be z(4). Solve 3*g = -5*q - c - y, 2*q - 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 5510637.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 350341\/36 + -9731. What is the common denominator of 99\/40 and f?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 329 and 18179.\nAnswer: 854413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 k when four letters picked without replacement from wwkwjwejewkw.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*m + 16568, 4*u - 16576 = -2*m - 0*m. Is u a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = -15. Let y = 12 - d. Find the second derivative of -14*k**2 + 10*k**y + 0*k + k wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1006 and 2592?\nAnswer: 1303776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220972059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -717*l**4 + 2*l**2 - 268*l - 18 wrt l?\nAnswer: -8604*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let x be (-4)\/(-6) + (-4 + -1)\/(-60). What is the second smallest value in s, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 59.8321\nAnswer: -1.794963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = 22*a - 30. Let z be (a - -18)\/(2\/(-4)). Let w be -2 - z\/(0 - -2). Calculate the greatest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 - 188*b**2 - 62*b + 49. What is the units digit of k(63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*w = -112, -2 = w - 2*w. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let h be y(-1). Is (154\/(-8))\/(h\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 910445?\nAnswer: -910444.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let j be n - 0 - (-10 - -3). Suppose -217 = -2*w - a, 360 = j*w - 4*a - 215. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2468, -2298, -2128?\n\"Answer: 170*p - 2638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354 (base 10) to base 16.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3 + -6)\/(18\/(-12)). Solve -4*r = -0 - h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**9\/504 - c**5\/15 + 3*c**2\/2 + 6*c. Let u(z) be the first derivative of v(z). Find the third derivative of u(y) wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -7)\/((-1)\/9). Suppose -5*r - 3*s + 321 = 0, -5*s = -4*r + 3*r + v. Calculate the remainder when 659 is divided by r.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 4 + (-282)\/(-11). Let t = d + -25109\/979. Suppose -4*j + j = 3. Is j at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 21*k - 1008. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 bigger than 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8647*l**3 - 1099*l.\nAnswer: -51882*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3372219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 22, 62, 124, 214?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 175269422 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*g + 192395 + 160760. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 - 1 + 7 + 282*o**3 - 6*o - 281*o**3. Is h(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.014711 * 4.6\nAnswer: -0.0676706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) -2\/3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 4:15 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + 0.37. Let z = 253\/2 - 128. Which is the smallest value? (a) -1 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6+36.83791570541\nAnswer: 42.83791570541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72583 is divided by 5582.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 151*i**4 + 7*i**3 - 5*i**2 + 49*i + 1346035 wrt i?\nAnswer: 604*i**3 + 21*i**2 - 10*i + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.63679 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2502*s**3 - 80*s**2 + 65*s + 16. Calculate h(1).\nAnswer: 2503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*s - 2*s. Suppose 39 = s*p + 7. Let 5*h**5 + 4*h - 1 + 8 - 3 - p*h**2 + 4*h**4 - 8*h**3 - h**5 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502876783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3737 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 3*c)*(c + c + 3*c)*(-c + 2*c + 2 - 3).\nAnswer: 10*c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*v - 2*v. Let p(z) = -1 - z**2 - 3 - 7*z + 0. What is the remainder when 21 is divided by p(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.75 - 351.75. Let u = h - -356.02. Round u to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let h(t) = -t**2 - 9*t - 8. Let x be h(-6). Suppose -9*z - 8 = -13*z. Solve -3*v - z - x = m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a - 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, u: 3, h: 4, t: 6}. Give prob of sequence hju.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -f + 1. Suppose 13 = c - f. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154584787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412480 is divided by 2923.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 24.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 4. Let m be l(2). Is (-2716)\/m*2\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 5:56 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 - 14*r**4 + 70*r**3 - 40*r**2 - 69*r + 54 = 0.\nAnswer: -18, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3019 divided by 486\nAnswer: -3019\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -610, 107, -3, -7.\nAnswer: -610, -7, -3, 6, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*23\/((-345)\/10)*1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*g = 3*g - 16, t - g = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -15, -45, -95, -171?\n\"Answer: -k**3 - k**2 - 6*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 935222.841ns?\nAnswer: 0.0000000015463340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 8:47 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54558781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from zwwz.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*s + 2*c + 8, 0 = -c - 1. Suppose 3*p + p - 4*a = 116, 0 = s*p - 5*a - 97. Suppose -p + 0 = -4*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69\/8, 1, -0.3, 4\/7 in descending order.\nAnswer: 1, 4\/7, -0.3, -69\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 16. Suppose 6*v - 5*v = l. What is the least common multiple of v and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 409 and 123927?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12) - (-741)\/(-9). Let g = f + 131. What are the prime factors of -48*(g\/(-28) + 0 + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*m = -m + 30, 0 = 5*q + 3*m - 39. Suppose -2*d + j = -q, 6*d = d - 3*j + 28. Solve n = -d*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 35*n - 5*n + 312 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 219092*p + 219096.\nAnswer: -4*(p - 1)*(p + 54774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38493989 and 30378?\nAnswer: 5063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4828 - 4847. Let s(p) = -p**2 - 19*p + 3. Calculate s(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 - 132. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let i = -22 + 24. Suppose 7 = -5*z + 2. Which is the nearest to z? (a) k (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 17*n + 10. Let s be f(-17). Let g be (-675)\/2457 - (s\/(-7) + 1). Which is the third smallest value? (a) g (b) -2\/15 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132453.\nAnswer: 3, 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 11:39 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = -2*t. Suppose 0 = -t*g + 3*g. Solve -y - r - 1 = -g*r, -11 = -y + 3*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - -40?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1179, 936, 523, -66, -837?\n\"Answer: -o**3 - 79*o**2 + o + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 36386880?\nAnswer: 473029440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 6. Suppose -2*c + 148 = w*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0393 and -137.\nAnswer: 5.3841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*s**2 + 11 - 56*s**2 - 4 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 - 260*m**4 + 28*m**3 + 1796*m**2 - 1560*m = 0?\nAnswer: -65, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822174910?\nAnswer: 2, 5, 17, 73, 97, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - x**2 + 7*x**2 - 3*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36648068.\nAnswer: 2, 61, 150197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-15))\/1)\/(42\/(-252))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 2155340870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 489457 - 281392.\nAnswer: 208065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 k when three letters picked without replacement from {a: 2, l: 2, k: 3, g: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 0 + 3 + (-6 - -2). Suppose 3*n - 5*h + 19 = 0, 4*n - 4*h = n - 14. Sort n, a, 4 in increasing order.\nAnswer: a, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 764\/2625 + -2\/375. Let f = 31\/4 + -233\/28. Sort s, f, -3, -1\/3.\nAnswer: -3, f, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 2, -2\/9, 1, 35\/3 in decreasing order.\nAnswer: 35\/3, 2, 1, -2\/9, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -3 + 2*sqrt(98) + (2 + sqrt(98))*5 + sqrt(98) - (-6*(sqrt(98) - sqrt(98)*-1) + 5*(sqrt(98) + -2))) + -4)**2.\nAnswer: 2912*sqrt(2) + 25257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 43*f**2 - 214*f + 104. What is j(-47)?\nAnswer: 1326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8647585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqwqqqw. What is prob of picking 1 w and 1 q?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 + r - 1. Let g(k) = 6*k + 3 + 1 - 4*k + 17*k**2 - 6*k. Give 2*g(f) + 9*s(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -4.8, -114, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 21*u**2 - 32*u + 33. Is m(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 81, -2\/15, 3\/2?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 210796 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, -0.157, 1\/39, -7.\nAnswer: -15, -7, -4, -0.157, 1\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:41 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 5*x + 39. Let d be l(6). Solve -116*m - 8 = -d*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -943 - -947. Let k be (2 - 14) + l - -22. Solve -j + a - 2 = 0, -3*a + k = j - 0*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-75)\/250). Let l be ((-2)\/(-6)*0)\/(d - 8). Solve -4*f + 9 = 3*u + 44, l = -5*f + 5*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196 + -199. Let o be -3 - (2 + 47100015\/c). What is o rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 126560.\nAnswer: -1\/31640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2544008\/36*21\/(-4310). Let s = -352\/431 + a. Let f = -345 - s. What is the second smallest value in 2\/3, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394498840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.3, -15, 1 in descending order.\nAnswer: 1, 0.3, 2\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3835*m - 547*m - 118368 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qehceqoqeoee. Give prob of sequence qooq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13331*x**2 + 12305*x**2 + 13341*x**2 - 38975*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 12. Let w(y) = -4*y - 37. Suppose -2*r - 14 + 12 = 2*g, g + 2*r = -4. Determine g*w(k) + 7*o(k).\nAnswer: -k + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-17)*(g*g*g\/(g\/(g**(-16)*g)))\/g)\/(g**(9\/2)*(g*g\/g**(-2))\/g*g))**(-2\/89) assuming g is positive.\nAnswer: g**(77\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/42*14\/(-9240)*15*-12*7.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84 + 86 + 1492*o**4 + 312*o**2 + 29*o - 29*o wrt o?\nAnswer: 35808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2806934, 5613808, 8420682, 11227556, 14034430?\nAnswer: 16841304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 + m + 6. Let v be q(-5). Is 191\/(2 + v - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3 - 1210*a - 1169*a + 2470*a. Let p(b) = 3*b. What is p(n(l))?\nAnswer: 273*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -132*o - 66\/5*o**3 - 60 - 3\/5*o**4 - 423\/5*o**2 = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4) + 3)*-5.\nAnswer: -15 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1040 divided by 80\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, -5 in decreasing order.\nAnswer: 5, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8 + 0.8. Let j = -135.3 - -140.3. Suppose 9 = -0*l + l. Which is the nearest to l? (a) j (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22564 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14 and -15.9.\nAnswer: -29.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 18 in increasing order.\nAnswer: -4, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(-2*sqrt(76))**2 - (-1 + -3 + (1 + sqrt(76))**2))*-6.\nAnswer: -5034 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6864 and 196152?\nAnswer: 5099952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + t - 17 = 23*h, 4*h + 5*t - 9 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/2)\/q))**(4\/29))**(1\/5) assuming q is positive.\nAnswer: q**(2\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2*u - 6. Let w be d(-4). Suppose -23*p + w*p = 525. Round p to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4)*(-1 - 2 + 1)*(19*x + 8*x - 9*x) + (-3*x + 7*x - 2*x)*(-3 - 1 + 2) to k*x + i and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x**3 + 9*x**2 - x**4 - 8*x**2 + 3*x**3 - x to the form t*x + l*x**3 + j*x**2 + q + p*x**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1911 and -41\/1296.\nAnswer: 825552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 493 - 490. Let b(s) = -3*s + 17. Let u be b(-7). Differentiate 4 + 7*l**r - 7*l**3 + 17*l**3 - u wrt l.\nAnswer: 51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 17, r: 1, o: 1}. Give prob of picking 1 r and 2 j.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 11458793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 39978*o**2 - 99900024*o + 49940018.\nAnswer: -2*(o - 4997)**2*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 54\/11? (a) -3\/5 (b) 5 (c) 3\/4 (d) -0.158 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 51\/16, -6, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + z - 25. Let x be h(-5). Suppose 25*b - 775 = x*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 143*c + 29 - 98 + 35 + 35 - 36*c to r + b*c and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 13. Let q = 12 - w. Suppose -24 - 21 = -q*v. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24\/11, -0.06, -5, 0.5 in decreasing order.\nAnswer: 2, 0.5, -0.06, -24\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(684) - (0 + -1 + sqrt(684))) + -4 - (1 + ((sqrt(684)*-1)**2*-4 + sqrt(684) - (5 + sqrt(684) + 0))).\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 349, 2471, 8119, 19021, 36905?\n\"Answer: 288*y**3 + 35*y**2 + y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001 - 2112110?\nAnswer: -10011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 60\/7, 2, -1\/2, 0.1, 3, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 16*k**2 + 4*k + 9. What is g(-16)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let p = 475845.9999904 + -475844. Let s = o - p. Round s to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80224499 by -3.\nAnswer: -80224499\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 2*b - 1. Let m(k) = -9*k**2 - 4*k - 2. Let y(t) = 4*d(t) - 2*m(t). Let l(p) = 38*p. Determine y(l(i)).\nAnswer: 14440*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 96.0000033. What is t rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071655 less than 142101?\nAnswer: -1929554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2307346 - 34*q**3 + 1153671 + 4*q + 1153678 + q**4 to the form b + d*q + y*q**4 + a*q**2 + i*q**3 and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-2)*(-162)\/(-243). What is the second biggest value in -2\/41, m, 0.01, 0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 33510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -132*t**2 - t + 3. Let c be w(1). Let n be (-20)\/c - (-178)\/26. Solve h = -n + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -202, 14 in decreasing order.\nAnswer: 14, 0, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -325, -1230, -3029, -6022, -10509, -16790?\n\"Answer: -50*d**3 + 3*d**2 + 30*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -146, 0, 2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210220 (base 3) to base 15.\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-152)\/(-40))*5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369*p + 1260 = 374*p. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w + 62. Let h be d(16). Which is smaller: -98 or h?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141\/(-2))\/((-2)\/(-2)*20\/(-140)*-21)?\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-10 + 10 - 10) + -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -8 (b) 0.2 (c) -12\/11 (d) 77 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46841028 divided by -26.\nAnswer: -1801578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15, 2, -0.02, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 3. Let k be -1*2*3\/6. Let x be (5 + -5)\/(k - 1) + -2. Calculate t(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/30 - 12\/(-5). Suppose -p*k + 39 = k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j - 9. Let d(s) = -s. Let u(f) = 3*f - 2. Let q(z) = 6*d(z) + u(z). Let h(a) = 2*p(a) - 9*q(a). Let c(y) = 2*y. Determine -c(w) + 4*h(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7101952 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.174 (b) -5 (c) -4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -1.16\nAnswer: -11.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 4*q**2 - 4*q**2 + (0 - 6 - 1 + (3 - 3 + 1)*(0 + 1 + 1))*(23*q**2 - 16*q**2 + 12*q**2).\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*3\/132*-2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + (sqrt(432) - (-4 + sqrt(432))) + -2)**2*-1*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q + 629334*q**2 - 109848*q**2 - 43*q.\nAnswer: 519486*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.48748.\nAnswer: 0.097496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:33 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 + -187. Let k be ((-594)\/i)\/((-6)\/20). What is the greatest common factor of k and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 17*c - 117 - 30*c + 96. Let p(y) = -3 - 3*y - 7 + 5 + 0. What is 2*f(m) - 9*p(m)?\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(832) + -1 - sqrt(832))**2 - sqrt(832)) + ((sqrt(832) + 5*5*sqrt(832) - sqrt(832)) + sqrt(832) - sqrt(832))**2)*5 + -2.\nAnswer: -40*sqrt(13) + 2600018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 289913937910*h**2 + 3*h - 289913937911*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 10:58 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/22064 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14625 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 + 246 = 10*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 + 485. Let p = 18 - 17. Which is the nearest to p? (a) 2 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736114?\nAnswer: 2, 41, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -13 + -39 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s + 7. Suppose -3*l = 9*l. Let o be y(l). Let v(d) = -d**3 + 6*d**2 + 9*d - 10. Calculate v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252325371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3981.\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 57, -19, -3, 10 in decreasing order.\nAnswer: 57, 10, 2, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 2\/43 (c) -11 (d) 30 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.5, -0.2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkwy when four letters picked without replacement from {k: 11, w: 1, y: 5}?\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 29*d - d + 2*d**2 - 14*d + 5*d - 4. Let f be 3*(-2)\/6*10. Let y be m(f). Solve 31 = 5*h + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000064442 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117292.\nAnswer: 2, 7, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173079.3 + -13.299.\nAnswer: 173066.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785 = -6*g + 109. What is the remainder when g is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10257*i - 10258*i - 10255*i + 30770*i + 38*i**3.\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*g + 18 = 0, -5*c + 4*g + 28 = -0*g. Suppose -c*d = 20, -4*f + 3*d = d - 326. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cbccbbcccbcccbcc.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.2 (b) -2 (c) 2\/11 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3784, 3783, 3782, 3781, 3780?\nAnswer: 3779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + 0*d**2)*(2*d - 7*d + d + (-94 - 165 - 107)*(0*d + d + 0*d)).\nAnswer: 740*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 3*h**2 + 7. Give b(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 2 - 2)*(35*q - 14*q - 7*q - 1).\nAnswer: 28*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. What are the prime factors of (t*9 - 2)\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + f + 4. Suppose 2*k + 7*k + 54 = 0. Let v be (k\/(-18))\/(3\/(-18)) + -3. What is d(v)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -29*k. Let n(m) be the first derivative of 2\/3*m**3 + 0*m + 0*m**2 - 15. Calculate u(n(p)).\nAnswer: -58*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(72\/(-102)) + 20\/(-4). What is the nearest to -1 in 36, 1, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j = 15847 - 2946 - 83845. Calculate the remainder when j is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1008))**2*-6 + (4*(sqrt(1008) + sqrt(1008) + 1) - sqrt(1008)))*3 - (((sqrt(168)*1)\/sqrt(8))\/(sqrt(9)\/(sqrt(24)\/sqrt(8)) + sqrt(3)))**2.\nAnswer: -72607\/4 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 51*o + 4. Let n be v(0). Suppose -3*g = -44*r + 47*r - 396, -n = -g. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 110*u**2 + 380*u + 360.\nAnswer: 5*(u + 2)**2*(u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14565 - 3728 + 12029 = 309*o for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*4\/(-6). Let f = -517.5 - -517. What is the second smallest value in 2, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5969 - -5994) + (-86 - 0).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 16 - 1 = 0. Suppose -o*l + l = 8. Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7482984 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 3598149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 + 6*g**2 + 8*g - 20. Calculate y(4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wowwwowwwwo?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 2850\/252 - (-11 + (-750)\/(-70)).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/26))**(-15\/2)*q**(-19\/4)\/q*q**(-1\/23) assuming q is positive.\nAnswer: q**(-1646\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**3 - 140*c**2 + 14*c + 1362. Determine l(-23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/3 - 381397*v\/3 - 10681468 = 0. Calculate v.\nAnswer: -84, 381481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 18*g + 21. Let a be v(-19). Suppose 4*z - 43 = a*z - 3*p, 5*z - 136 = 2*p. Suppose 0 = -z*h + 21*h + 185. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2 - 12 = 4*g, 3*g = 3*q + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 180\/371 + -252438\/1855. Let q = 136 + f. What is the closest to 1 in q, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by 15?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.303338 rounded to three dps?\nAnswer: 19.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -424753449 and -3.\nAnswer: -424753452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*r + 598*r - 180*r - 213*r.\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 72. Determine d, given that 32*d + d**2 - 3*d**2 - j*d - d**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 + 285 = -3*b - 10*f, -3*f - 5 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396))*5 + 5*sqrt(396)*-4.\nAnswer: -90*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 88*n**4 + 12*n**3 - 12*n**2 + 52*n + 24. Let i(t) = t**3 - t**2 - t + 2. Let b(w) = 12*i(w) - q(w). What is the second derivative of b(g) wrt g?\nAnswer: -1056*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/9 + 5\/9. Which is the closest to y? (a) 2 (b) 1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 16 = v, 2*v - 44885*l - 30 = -44880*l + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 - 6*a + 4. Let u be (-100)\/(-16) + (-2 - 21\/(-12)). Let m(l) = 6*l**2 + 5*l - 3. Calculate u*m(k) + 5*b(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h - 2*m, 4*m = 0. Suppose 3*b = h, 5*z - 3*b + 20 = 2*b. Let i be 2 - (z\/(-2) + -4). Solve -i*k - 2*r + 11 = k, -5*r = -2*k + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11230569 and 9396.\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306 - 5*p + 3*p + 245 - 466 to s + d*p and give s.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861614 is divided by 66277.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -696683786*k**4 - 171102106*k.\nAnswer: -8360205432*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13361 divided by -35533?\nAnswer: -13361\/35533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-16)*n)\/n**0)\/(n**(-2\/23)\/((n*((n\/n**(4\/9)*n)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-3179\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 117. Let g = 453\/7 + q. Which is the second smallest value? (a) 1\/6 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*t - 1617 = 0. Let m = t - 164. Let x = m - -6. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -170) + (-8 - -1) + (248 - 273)\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-3\/10)\/i*i*i**(-2)*(i**(1\/3))**23 assuming i is positive.\nAnswer: i**(191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4952 by -8.\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 1 = w, 2 = 2*w - 4*w. Which is smaller: x or 8\/1691?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3003 and 586404.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = -17*g + 294 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2.1. Let f(b) = -51*b**2 - 261*b + 91. Let g be f(-5). Is g greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -13899, 3.\nAnswer: -13899, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112\/831 - -10837519\/3324. Let u = v + -3279. Find the common denominator of u and -47\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + -1 + sqrt(128) + 0) + -1 + (sqrt(128) - (-6*(sqrt(128) + 1 - sqrt(128)) - sqrt(128)) - (-3 + sqrt(128)*-2)))**2.\nAnswer: -384*sqrt(2) + 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-258)\/(-12))\/((-1)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g**5 + 42*g**5 - 3*g**5 + (2*g - 2*g + g)*(-4*g**4 + g**4 + g**4).\nAnswer: 49*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (567*35\/(-315))\/(-24).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5138*m**3 + 7*m + 111. Let v(j) = -10276*j**3 - j**2 + 15*j + 224. Let g(i) = -7*a(i) + 3*v(i). What is the third derivative of g(f) wrt f?\nAnswer: 30828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192830407\/950 - -608938\/3. Calculate the common denominator of n and 67\/330.\nAnswer: 31350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -32*r. Let a(g) = 2*g + 361. Determine h(a(w)).\nAnswer: -64*w - 11552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -31*c**2 - 69*c - 24. Determine o(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/10)\/(648\/(-40)). Are h and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-5) + 22 - -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -64)*(-4)\/12. Let n = -13 + h. Suppose -n = 6*g - 26. Solve g = -u - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 293 - 299.01. Let c = 6 + j. Let x = 2880 + -2876. What is the closest to 0.1 in 4\/7, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from svvavha.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/4*((-8)\/490)\/((-13)\/(-65))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -746 - -747. Which is greater: q or -13\/210?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 238?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8199 - 4160 - 4370 - 2*w - 2*w**3 in the form y + x*w**2 + q*w + t*w**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9103499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317338906*q**4 + 7*q**2 + 2*q + 260999?\nAnswer: 7616133744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 255, 304, 353, 402, 451?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:27 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/4225*7855\/(-6). Let r be 2\/5 - (-68)\/(-169). Let m = u + r. What is the common denominator of m and -97\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 2*c. Let u = 3 - c. What is the lowest common multiple of 2 + -2 + 0 + 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 132*m**2 + 51*m - 446. Is g(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.959 - 0.041. Which is the closest to -1\/2? (a) -11 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -66, -83, -106, -135?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/24*56\/(-21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -109488.\nAnswer: -35\/27372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47 + 6\/(1 + 2). Let t = 7 + 11. Suppose g - 33 = -2*n + t, n = -g + b. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1261268193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 1:28 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + v. Let p(c) = -3*c**3 - 5*c**2 - 4*c + 2. Let r(g) = 2*l(g) + p(g). Determine r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -0.12. Let d = x + -0.06. Let r = -0.09049 + d. Round r to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 6*o + 4. Let n be g(-6). What is the second derivative of 4*s - 4*s**5 + n*s**5 - 3*s**5 wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 + 10111100?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 18*t + 18. Is 18 a factor of f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00223927 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-1)\/(-1 - -2)). Let g(i) = -i**2 - 3*i - 2. Let q be g(b). Let d be 70*3*(-1)\/q. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 24. Suppose z + s = 2*z. Let r(p) = 2*p**3 - 7*p**2 + 6*p + 7. Is r(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161888401 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 32. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -10*l - 89631990, -2*w + 14*l - 10*l = 44816004. Round w to the nearest 100000.\nAnswer: -22400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2*(-253)\/(-22). Let m(g) = -2*g**2 + 46*g + 2. Let x be m(n). Solve -2 = -x*l - 5*z + 2*z, -3*z + 12 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 7.3799, -2\/11, -0.4, 2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9529.\nAnswer: 13, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21906?\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/168 and (190 - 18)*((-3)\/(-126) + 0)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmibf. Give prob of picking 2 f and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 and -6\/5677.\nAnswer: 5677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9))**22)**(-2\/3) assuming z is positive.\nAnswer: z**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afkxc. Give prob of picking 1 x and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01279788268 to 5 decimal places.\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -157\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76773 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818, 3269, 7356, 13079?\nAnswer: 20438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - (11 + -18))*134789\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -777*s + 7459 + 10412 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210 + 140. Let c = 349\/5 + x. What is the third biggest value in -1\/2, 5, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25955?\nAnswer: 5, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5127 + 5125. Put 3, g, 280 in decreasing order.\nAnswer: 280, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.08 + 0.08. Let f = 3 - 2. Let o = 1 - f. Which is the closest to 0? (a) j (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -17) + 5 + 18 + -23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (37 - 3) + (-1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 17*f = 5*c - 14, -2*f = -3*c + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*1 + -4 - sqrt(208) - sqrt(208)) + sqrt(208) + (-1 + sqrt(208))**2 + sqrt(208) + -3.\nAnswer: -4*sqrt(13) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 - 201 = -81*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4\/7 + 18\/7*i - 4\/7*i**2 - 18\/7*i**3 + 8\/7*i**4 = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q**2 + 259*q - 9. Let s(d) = -5*d**2 + 128*d - 5. Determine -5*s(a) + 3*w(a).\nAnswer: -2*a**2 + 137*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 18*q**2 + 4*q + 5. Suppose 9*p - 301 = -76. Calculate the remainder when f(-2) is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 4*x**2 - 4*x**2 - 5*x**2.\nAnswer: -2*x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:20 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 6606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235 and 470?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33572458.\nAnswer: 2, 163, 102983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*p + 1090*p**2 - 612*p**2 + 70*p - 134*p**2.\nAnswer: 344*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18.14 times -221.8\nAnswer: -4023.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 4*g. Suppose -3*i = 12, i - 4 = -3*x + 7. Determine k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 2840?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5822.\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2839486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -2*p - 45 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19785758*l**4 + 11100795 wrt l?\nAnswer: 79143032*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*49050\/55590.\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 74. Let t = 2 + 0. Which is the third biggest value? (a) t (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1719, -1755, -1813, -1893, -1995, -2119, -2265?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let m(z) = z - 3. Let b(w) = -w + 2. Let g(a) = j*m(a) - 3*b(a). Let l(p) = p - p - p**2. Give g(l(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/8 - 351*b\/8 + 175\/4.\nAnswer: (b - 350)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-20)*2\/(-3). Put -4, -3, g in ascending order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -2*o - 189. Let y = -25 - -17. Let k = -18 - y. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -27*s + 344. What is the lowest common multiple of s and 23?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in -2\/25, 0.5, 4\/3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39850*o - 79104*o + 39246*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 2, 6, 12, 20?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20052 and 1374?\nAnswer: 4591908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = s - 18, -4*s - 8*d - 8 = -12*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(1323))*2.\nAnswer: 24 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 4*s - 5*s + 3*s as t*s + x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-24))\/((-55)\/(-2310)). Which is the biggest value? (a) -1\/10 (b) u (c) -3\/8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Let l(n) = -11 - 4*n + 35 - 7 - 13 - 8. Calculate 4*h(m) - l(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w - 30. Suppose -2*m - 2*m = 16. Let j be (42 - w)*(-150)\/m. What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/4 - 9041*n\/4 - 5287058 = 0. What is n?\nAnswer: -1928, 10969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3\/9) + 12. Let c(g) be the second derivative of -g**5\/20 + 2*g**4\/3 + 7*g**3\/3 - 5*g**2 - 17*g. Is c(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12 = 3*i, 5*i - z + 4 = 1. Suppose 5*r - 3*k = -5*k + 24, i = -5*r - 3*k + 26. Solve -r*a - 20 = -5*p, -5*a + 3*p - 4 = 2*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 9*x - 6. Let k be a(10). Suppose 5*t + 4600004 = -k*c, 0 = -3*t - 0*c + 5*c - 2759995. Round t to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (2 - (9 - 1)). Let w be ((-4)\/368 - 0)\/((-7)\/21). Let l = w - -175\/276. What is the closest to 0 in -1, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1030 - -805. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -2*y + t = -126, 5*y + 0*y - 293 = -x*t. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 1. What is the remainder when a(6) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - y - 4*y)*(2 + 0 + 2)*(-6 + 14 - 5)*(2 - 5 + 7) to a*y + h and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*27\/6. What is the first derivative of -2153*p**2 + b + 2153*p**2 - 8*p**3 wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4170926591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 35, -3\/4, 5\/4, -4, 0.07?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.15 - 9. Let l = t + 0.45. Put l, 1, -12 in ascending order.\nAnswer: -12, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -4*z + 3*a - 27, 3*z - a + 6 = 0. Let y = -4 - z. Which is smaller: 1\/22 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163 - 28*s**2 - 152 + 313 + (0*s - s + 3*s)*(-2*s + 2*s - s) + s**2 + 0*s + 0*s to the form q + u*s**2 + y*s and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = 16*r - 1820. What is the remainder when r is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*z - 61*z**5 - 74*z**5 - 51*z**5 + 5*z**5 + 51 + 6*z wrt z?\nAnswer: -3620*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2608, 2651, 2670, 2653, 2588, 2463, 2266, 1985?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -4, -0.2, -3, -1.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258 - -148. Let c be 6\/(-20) - 803\/h. Solve 10*i + 3 = c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2068597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5385 + -27222\/5. Suppose 5*x + 212 = 512. Let f = x + k. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 18 = 0. Let h be (-39)\/6*1*w. Round h to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157 is divided by (610\/20 + -30)\/(1\/166)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggbqgg. Give prob of picking 1 q and 3 g.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2336 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 - -137. Let j be 21\/4 - (-2)\/(-8). Find the second derivative of 0*m**j + m + z*m**5 - 11*m wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.978 - -7.732. Let d = -37.719972 + h. Let y = 0.01 + d. Round y to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 2*l**3\/3 + 86440. Let k(n) be the first derivative of 230*n**2 + 1. What is k(h(u))?\nAnswer: 920*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 144\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s - 163*s**2 - 16*s + 130*s**2.\nAnswer: -33*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + c**5 + c**5 + 151*c**4 + 19*c**2 - 10*c**2 - 6*c**2 - 3*c**5 + (2*c**2 + 1 - 1)*(0*c**3 - 3*c**3 + c**3) + 0*c**5 + 0*c**5 - 2*c**5.\nAnswer: -8*c**5 + 151*c**4 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026688 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, u: 1, f: 1, m: 3}. Give prob of sequence bui.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v - 170*v + 1776 = 0. Let i(r) be the third derivative of 0 - v*r**2 + 0*r + 1\/6*r**3 + 5\/12*r**4. Differentiate i(m) with respect to m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 - 7*r - 2. Let k be u(8). Suppose 5*y = 3*x + 20, 0 = -4*x - k*y + 4*y - 70. Is (52\/6)\/((-2)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4392485 divided by 878497?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516*v**3 - 70*v**3 + 3*v - 3*v + 357*v**3 - 164*v**3.\nAnswer: 639*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9310*p**2 - 56*p - 98. Let y(x) = 3102*x**2 + 19*x + 34. Let w(m) = -6*c(m) - 17*y(m). What is the second derivative of w(b) wrt b?\nAnswer: 6252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 32 = 3*r, -2*r + 0*r = -2*g - 24. Suppose -3*t + s - 2*s = -r, -2*t = 3*s - 2. Solve -13 = -2*a - a + 2*n, -a + t*n = -1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 6*x**2 - 8*x - 8. Let v be t(-5). Suppose -3*f + 108 = -v*f. Let u = f + 31. Solve u + 6 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*v - 84691, 2*k + 67754 = 4*v - 0*k. Is v\/45*10\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793) - sqrt(57))\/sqrt(3)*4.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723480485?\nAnswer: 3, 5, 17, 6758747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - j - 11 = 0, 5*w = -5425*j + 5443*j + 106 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2949 - 2968)\/((-38)\/4). Let h = -0.09 - 4.91. Put -8, h, -1, d in descending order.\nAnswer: d, -1, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-65)\/(-3) - 21) + 23\/(-3). Is i at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 154.553216 to 1 dp.\nAnswer: 154.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10179 less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -319\/125 or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18681307 divided by 18681307.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*f**3 + 2702*f**2 - 2702*f**2 + (-f**2 - 5*f**2 + 5*f**2)*(-f - 3*f + 2*f) - 9*f**3 - 10*f**3 + 0*f**3.\nAnswer: 71*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39353 is divided by 1229?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*t + 731*t = 952 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**(9\/5)\/q)*q**3*(q\/(q*q**(3\/7)))**(4\/31) assuming q is positive.\nAnswer: q**(2327\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1215 - -1226. Solve -o*p + 22 - 11 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1492897\nAnswer: 4\/1492897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10790738 + -5820738. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3362*j**2 + 1\/4*j**5 + 0*j - 37\/2*j**4 + 1025\/4*j**3 = 0. What is j?\nAnswer: -8, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110101111101 (base 2) to base 13.\nAnswer: ab80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 - -3. Suppose -4*l + l + n = 0. Let a = -19 + l. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 177 = 2*f - 2*c, 4*f + 658 = 2*c. Let a = f - -230. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -203.77 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 4*i + 2. Let x be a(4). Let f be ((-6)\/12)\/((-1)\/x). What is the tens digit of (f + -36)*(-5)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5845*q - 4031*q - q**2 + 2124*q)*(-q + 4*q - q).\nAnswer: -2*q**3 - 15504*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - 9*u**2 + 5*u - 4. Let f(i) = 13*i**3 - 37*i**2 + 20*i - 15. Let q(t) = 2*f(t) - 9*g(t). Let x = -10 - -16. What is the units digit of q(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 15*b = 76. Put -0.4, 3\/2, -3, b in decreasing order.\nAnswer: 3\/2, -0.4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.06965 rounded to two dps?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 31 + 14*u + 9*u + 10*u - 31*u. Let a be f(-17). Let h(o) = o**3 - 6*o**2 + 5*o + 3. Let q be h(5). Sort 2, a, q in ascending order.\nAnswer: a, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-189)*3753\/139\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -25*p + 36. Let w be d(-9). Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43\/3 + 15. Which is the third biggest value? (a) q (b) -1\/38 (c) -1 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9282 and 95\/360982284?\nAnswer: 2526875988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Suppose 5*p + 2*x = 6, 0*x = -5*p + x + 12. Suppose r*z = -p*z. Solve z = -2*l + 7*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, -4, 28278?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (0 - -111) - -3. What are the prime factors of (z + -1)*3\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53389322 to the nearest integer?\nAnswer: 7307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 39278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)*-4)\/sqrt(12))\/((sqrt(96)\/sqrt(8))\/sqrt(6)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775\/(-185)*44\/(-495)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(12)\/sqrt(3)))\/(3*sqrt(60)\/sqrt(6)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819323.\nAnswer: 197, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, n: 1, j: 1, w: 1, b: 1}. Give prob of sequence nwb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 9*k = -27. Sort -8, k, 5 in descending order.\nAnswer: 5, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a kilometer in centimeters?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -250869.\nAnswer: -250869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 415615 (base 7) to base 3\nAnswer: 10122021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + j)*(-6*j**3 + 0*j**3 + 4*j**3) - 999*j**2 + 35*j**4 + 990*j**2 - 230*j**4.\nAnswer: -201*j**4 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5\/4 + 544*o**4 + 1606503*o**3\/4 + 105567706*o**2 + 3697269328*o + 20844523392 = 0.\nAnswer: -712, -33, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279.7773 centuries to months.\nAnswer: 335732.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*f + (2 + 3 - 3)*(-f - 4 + 4) + (-4 - 1 + 3)*(-f - 2*f + 4*f) - 3*f + 4*f - 3*f - 1290*f - 651*f + 321*f.\nAnswer: -1628*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 3*n = -255. Calculate the remainder when 167 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35316103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1095*r - 2581. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/55*(-362)\/(-181)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -434 - -1107. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -111\/76240?\nAnswer: -111\/76240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Let v = 5 - u. Let s be -1*v + (-6)\/(-15). Sort 1, s, -2 in increasing order.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-3))\/((-1125)\/2700)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -6. What is the highest common factor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13958642.\nAnswer: 2, 821, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12718.\nAnswer: 2, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (426\/18)\/(-5 + (-16)\/(-3)) is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 581\/49) + 4\/21\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1364? (a) 0.2 (b) 5 (c) 1770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by 1.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 516 = -9*z. Let u = z - -251. Suppose -3*p + u = -85. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 0.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 + 0.096\nAnswer: -2.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 16*l**2 - 60*l.\nAnswer: -l*(l - 10)*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-18) + 1 - 85\/408.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.5, 4, 0.1473?\nAnswer: 0.1473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (160\/56)\/(12\/4 - (-57)\/(-21)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -3 + 9)*1. Suppose 0 = 5*y - q*o - 125, -7 = -2*y - 5*o + 64. Which is smaller: 26 or y?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) -0.04 (c) -1\/4737 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47566085 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30*m**2 - 34*m - 19. Is c(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19105424 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1497908 and 93532.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -302, -319, -354, -413, -502, -627, -794?\nAnswer: -1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - -2.5. Let l be (-8)\/(-2) + -1 + 3. Let q be 2 - (2 + l\/(-15)). What is the second smallest value in -0.2, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006999 rounded to six decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 398 and 1361.\nAnswer: 541678","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 4*n - 40. Let m be t(-9). Suppose -m*f - 187 = -3*o + 159, 4*f = 5*o - 594. Calculate the remainder when o is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -11*u**2\/2 + 1. What is the remainder when f(-5) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 131487972 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(72\/100*(-105)\/42)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-280)\/(-9800))\/((-1)\/14))\/((-6)\/8)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let i = -1.8 + b. Let u = -4 + 5. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-12) + 8\/3. Suppose y*m = 1 + 3. Suppose m = z - 4. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 5, 11744 in descending order.\nAnswer: 11744, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*z - 5*o, -5*z = -o - 0*o + 10. Let w be z + 4 + -1 + 2. Solve -w*t + 0*t = -20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -581\/265 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.74133 to two decimal places.\nAnswer: -2.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 198588*d + 397119. Give c(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h - 12. Let k(i) = 6*i - 9. Let r(m) = 3*c(m) - 4*k(m). Let b(f) = 4*f**2 - 27*f. What is r(b(x))?\nAnswer: -24*x**2 + 162*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39974688 divided by 416.\nAnswer: 96093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:50 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*u**3*x - 1257422*u**3 - 4*u**2 + 484*u*x - 23*x + 5 wrt u.\nAnswer: 84*x - 7544532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/57)\/(355\/(-6745)). Factor 0 + 1\/7*t**s + 8\/7*t.\nAnswer: t*(t + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmff when four letters picked without replacement from {f: 9, m: 5}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1176?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 8060692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (1 - 3)) + (-123 - (35 + -54)) + 51.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 0, -3, 1\/48, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*g = -2*a - 16, -3*g + 18 = 3*a. Suppose 4*d - a*c = 40, 5*d + 2*c = 61 - 11. Solve 4*t = -3*q + 5*q + 4, 5*q + d = -4*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 2*b - 14, -35*p - 4*b = -37*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1950 and 37766310?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 296\/7*j**2 + 604\/7 + 2\/7*j**3 - 902\/7*j = 0. Calculate j.\nAnswer: -151, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b3 - -228?\nAnswer: -78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 6655, 2, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2049*t**2 + 1046*t + 14. Let k(r) = 1024*r**2 + 525*r + 6. Let n(b) = 3*h(b) - 7*k(b). Find the second derivative of n(i) wrt i.\nAnswer: -2042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:15 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4938\/77 + -718\/11. Let y = -192.7 - -193. Which is the third biggest value? (a) 4 (b) i (c) -0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 7*w + 7. Does 24 divide f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21220120 + -2?\nAnswer: 21220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 2*p - 1. Let h be k(-1). Solve 4*l + 12 = 4*b - 0*l, l + 1 = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p - 69. Let a be q(-9). Suppose -3*u = -h - 8*u + 569, -h = a*u - 579. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 1471972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 21. Suppose -5*x + 4*c - 3*c + 52 = 0, 0 = 3*x + 3*c - 42. What is the least common multiple of x and i(-15)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7613\/26621 + -1\/3803. What is the nearest to v in -0.1, -1\/6, -1\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55984*x**3 + 1 - 56002*x**3 - 1.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2374, 2, 5.\nAnswer: 0, 2, 5, 2374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 36. Suppose t*l - 8*l - 630 = 0. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/637? (a) -2\/17 (b) 4\/3 (c) 9.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d - 20*d + 97 = -133. Let k(s) = s**2 - s - 3 - 2*s + s. Calculate k(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21608 is divided by 110?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1398*w - 151. Let s be m(-3). Let i = -2030 + s. What are the prime factors of i?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/4235000 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13, 1, -0.4, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p - 6*p. Suppose p = 14*j + 1055 + 93. Sort -2, 4, 3, j in decreasing order.\nAnswer: 4, 3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 24*j - 47. Let n be f(-22). What is the remainder when 228 is divided by 4 - (-15)\/n - -30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.681949mg in grams?\nAnswer: 0.005681949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7*5\/(-70))\/(2\/(-4)). Calculate the least common multiple of 16 and (h + 8 - -1)\/((-5)\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21846 divided by 40.\nAnswer: 10923\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 5*j + 7. Let m = 5 + -1. Let h(l) = -m*l - 3*l**2 + 2*l**2 + 0*l + 4 + l. Calculate -5*h(s) + 3*k(s).\nAnswer: 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 7*b - 5. Let j be (-1 + 6)*(-36)\/(-60). Suppose j*o = -2*o + 30. What is v(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n. Let m(b) = -231*b - 239*b + 464*b. What is x(m(i))?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.9, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 535871580 a multiple of 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31951, -31991, -32031, -32071, -32111, -32151?\nAnswer: -32191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14849?\nAnswer: 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 1 - 1)*(-3 + 1 - 5) + 11*d + 3 - 3.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -39. Suppose z*j - 4 = -22. Let q = j - -59. Calculate the remainder when q is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 3*(-2 - -3). Solve 0 = -2*z - d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/9 - 2*l**3 + 22*l**2\/9 + 2*l - 20\/9 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 11:35 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 22924*r**2 - 9*r - 21*r - 70 - 22923*r**2. What is j(32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.89, -1\/3, 0.5, -18 in ascending order.\nAnswer: -18, -0.89, -1\/3, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4)\/(l**(-27)*l))\/((l*l**16)\/(l\/(l\/((l\/((l\/l**(2\/81))\/l*l))\/l)))))**(-42) assuming l is positive.\nAnswer: l**(-18767\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35\/349 - 174\/1745. Which is the second biggest value? (a) -32 (b) 2\/11 (c) h (d) -1\/6 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 6\/(6\/(-5)). Suppose 0 = 2*w + 5*k - 19, 7*k - a*k = -5*w + 22. Solve 11 = 5*g + 5*n - 9, 2*g - w = n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 4*w. Let m(n) = -n**3 - 4*n**2 + 26*n - 3. Calculate m(s) - 6*v(s).\nAnswer: -s**3 - 10*s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7552*t + 1530*t + 1376*t.\nAnswer: 10458*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -38. Suppose 4*y + 0*y = 8, 214 = 2*l + c*y. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22131910 a multiple of 1546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*b**2 + 27*b**2 - 5*b + 34 + 21*b**2 + 21*b**2 - 73*b**2 to the form r*b**2 + c + w*b and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 263 + 11 = 0. Put -7, z, -2 in descending order.\nAnswer: z, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**2 + 21*j - 18. Let a(n) = 7*n**2 - 14*n + 12. Let d(i) = -7*a(i) - 5*l(i). What is d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12310 (base 4) in base 14?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/11 and 41\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10677.26 + 10677. Put x, -3, 2, -2\/223 in ascending order.\nAnswer: -3, x, -2\/223, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 4*n - 9*n - 3*z, 0 = 4*n + 5*z - 132. Let y = 247 + -239. What is the least common multiple of y and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5\/5 + 758*u**4\/5 - 72944*u**3\/5 + 212064*u**2\/5.\nAnswer: -2*u**2*(u - 188)**2*(u - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + w**3 - w**3 + 2*w**2 - w + 2*w**4 to h*w**3 + o*w**4 + g + p*w**2 + i*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -15*l + 17*l + y, 0 = 2*y + 3*y. Factor -1\/5*s**5 + l - 3\/5*s**4 + 0*s**2 - 2\/5*s**3 + 0*s.\nAnswer: -s**3*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 - -205.348. Let x = n - 0.048. Let j = -3 + 3.5. Sort j, 5, x in ascending order.\nAnswer: x, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2233 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2962 + 2*n**2 - 628 - 4*n**3 + 31*n**3 + 487.\nAnswer: 27*n**3 + 2*n**2 - 3103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j - 102*j + 905 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4297996?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000125444 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241.3 + 240. Let i = 0.3 + 1.2. Let x = d + i. Which is the nearest to 0.3? (a) 0.1 (b) -2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3678440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 50 + -32 - -18.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 26 - 26)*(2*t + 27*t - 14*t - 1 + 2*t + 1 + (-5 + 3 + 0)*(-2*t + 6*t - 2*t) + 2 - 2*t - 2) - 3*t**2 + 7*t**2 - 2*t**2.\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 11 = -499. Suppose t = 8*v - 84. What is the lowest common multiple of v and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*n - c, 4*n = -3*c - 2*c + 71. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120 * -0.1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.35496mm in nanometers?\nAnswer: 35354960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/120 + 2*a**5\/15 + a**4\/24 - 3*a**3\/2 + 5*a**2. Let y = -108 + 115. What is the units digit of n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/153 and 127\/50490.\nAnswer: 50490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, -2\/11, -274?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173, 176, 175, 164, 137, 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -621 - -1032. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 505048 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(6\/5)*t**(-3\/4) assuming t is positive.\nAnswer: t**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 25*b + 176. Let h be f(9). Solve -14*g - h = -6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 - 3631\/23. Let y = j - -19\/207. Factor 8\/9*l + 0 + y*l**3 - 8\/9*l**2.\nAnswer: 2*l*(l - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**3 - 29*h**2 + 2*h - 11. Let s be v(-5). Let i(j) = j**2 + 1. Let k be i(2). Solve k*r - 6*m = -m + 25, 2*r - s*m = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3 - 54523344*c + 87537157 wrt c.\nAnswer: -6*c**2 - 54523344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1) + 2 + -1. Let x be (1 - 1)*z\/(-2). Solve -g - 3 + 1 = x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1697535193 and 1082.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/60 - b**4\/24 + 3*b**3\/2 - 811*b**2. Give x(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16910\/(-209) - (-1400)\/1540?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (190\/342)\/((-55)\/(-66))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*d + 75, -5*f + 3*d - 607 + 523 = 0. Sort 8, f, -2, 1, -5 in increasing order.\nAnswer: f, -5, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2 = -5. Let i be x\/(-14)*(-22 + 14). Is 0 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1020 - -1194. What is the remainder when u is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21908 and 0.4.\nAnswer: 8763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -388883 and -6341841.\nAnswer: -6730724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighteen fifths of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9409*v**3 - 10901*v - 146849613.\nAnswer: -28227*v**2 - 10901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(17\/4)\/(h\/(h\/(h\/(h*(h*h\/h**(3\/17))\/h))*h)))**(-10\/17) assuming h is positive.\nAnswer: h**(-2065\/578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5481 + 22352. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*5329.6.\nAnswer: 2131.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*n**(-1\/3)*n*n)))\/n*n)**(-22)\/(n**(-5)\/n**(-2\/5)))\/(((n**(-6)\/n)\/(n*n**(-3\/4)\/n))\/(n**(-2\/3))**(-2\/3)) assuming n is positive.\nAnswer: n**(-8527\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.7 - -7. What is the second biggest value in z, 1, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/2 (b) -0.5 (c) 1 (d) 5 (e) -110 (f) -1\/5 (g) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 11:27 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.291077 centuries to months.\nAnswer: 9949.2924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451972588?\nAnswer: 2, 79, 1430293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6500 divided by -325\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0.2, -0.01, 4, 2\/19?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -768 - -747. Let s = 8 + -5. Which is bigger: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/16 - -29\/16. Which is the third biggest value? (a) -5 (b) -0.1 (c) y (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*n + n**3 + 50*n + 5*n**2 - 1 to s*n**2 + j*n**3 + f*n + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -32.38. Let h = -0.12 + p. What is the nearest to 2\/9 in -3\/4, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2712*t - 1860. Is i(-5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4461 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1219752 and 67\/33882.\nAnswer: 1219752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 23 = 3*g, -q + 0*g - 2*g + 12 = 0. Let m be 10 + 0 + -2 - 0. Let w = 11 - m. Solve 0 = -2*f - w*f - q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316, 1243, 2778, 4921?\nAnswer: 7672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038*i = 1034*i - 5*y - 23, 0 = -5*y - 35. What is the greatest common factor of i and 681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 7:19 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**3\/6 - 5*j**2\/2 - 4*j. Let x be g(-11). Suppose -4*l - 4 = -x*l. Solve 2*d = 3*d - 3*s + l, d = -5*s - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1193*f - f**2 - 7 - 1192*f + 6. Let k(a) = a**2 + 2*a. Let r = 3 + -1. What is r*p(z) - k(z)?\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 17 + (1 - 0) + -18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((1 + sqrt(2))*-2)**2 - sqrt(2))*-1 + sqrt(8)\/sqrt(4) + 1 + (sqrt(22)\/sqrt(44))**2.\nAnswer: 15*sqrt(2) + 51\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 12*q - q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.0218, -4\/5, 3, 1\/13?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 - 69*j**4 - 2*j**3 + 815*j - 13?\nAnswer: 40*j**3 - 828*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 2:03 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 - 3*q - 9\/2*q**2 - 3\/4*q**4 - 3\/4.\nAnswer: -3*(q + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209004.\nAnswer: 2, 409, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4, 3*c - 2*c - d = 78. What are the prime factors of c?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = -0*k. Suppose -4*i + 166 = k*r - 231, 2*i = -4*r + 536. Let a = -73 + 88. What is the greatest common factor of a and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v + 257. Give g(31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -10605\nAnswer: 742.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -358*i + 33. Is w(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1111112?\nAnswer: -1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvppqqwpqvyqpyoq. Give prob of picking 1 p and 1 w.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198 greater than 5195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-64)\/(-56))\/(-2 - 14741\/(-7371)). What is the greatest common factor of w and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 61 - 104)*(-52 + 37*l + l**2 - 37*l).\nAnswer: 14*l**2 - 728","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2172333.\nAnswer: 3, 724111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - (-5 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 244082014.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.5 (c) -14307 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r. Let m be t(-2). Let s be 2 + -1*2 + 9. Let p = m - s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 28 = -3*z, -b - 18 = -2*z - 4*b. What is the common denominator of (-10)\/z*(-56)\/(-5) and 6\/(-57) + 1262\/76?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)**(-27)\/(f**(-1\/8)*((f\/f**(4\/11)*f)\/f)\/f))**(15\/8) assuming f is positive.\nAnswer: f**(-70635\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -347.8868?\nAnswer: -347.8868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*p, -4*c + 7*p - 2*p = -60. Calculate the remainder when (190\/(-15))\/(2\/(-6)) is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -357250 - 0.3.\nAnswer: -357250.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -0.0502 (b) 0.05 (c) -0.5 (d) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from hezobzohheezy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -340*i**3 - 2*i**2 + 453*i + 454. Determine t(-1).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/207 and -22\/3.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31551 (base 7) to base 16\nAnswer: 1e93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/135 and 139\/240.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b - 294 = -209*b + 123*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 308, -6, 16 in increasing order.\nAnswer: -6, 4, 16, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 390328\/3 and 130108 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-6)\/16*332\/(-249)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose -2*i = -2*a - 14, 4*i + 2*a - 3 = -5. Differentiate -y*v**2 + 4 - i*v**2 + 8*v**2 wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 9:21 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8652?\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2233 is divided by 0 - (-6)\/8 - 27\/756*-427.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + 3*(1 + sqrt(243)) + (sqrt(243) - ((sqrt(243) - (sqrt(243) + 2 + sqrt(243)))**2 + -5)))*-3.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1528*w**5\/11 - 37506*w**4 + 412468*w**3\/11 + 1626*w**2\/11 = 0. Calculate w.\nAnswer: -271, -3\/764, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180132331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - x = -3, -x = n - 6*x - 7. What is the third derivative of 9*l**n + 10*l**2 - 5*l**2 + 6*l**2 + 39*l**5 wrt l?\nAnswer: 2340*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}