diff --git "a/data/dm_maths/full_data_1/10504_11255.jsonl" "b/data/dm_maths/full_data_1/10504_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10504_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 127460347 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 1, t: 1, k: 3}. What is prob of sequence ssqk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3844163 is divided by 8214.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89336 = 7*u + 19*u. Let z = u + -1619. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24637587 divided by 13.\nAnswer: 1895199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5 - 5 = 2*a, 7*a - 11 = 6*a + 16*i - 18*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261603248 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 1533.\nAnswer: 38325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 5*l**2 + 7*l**4 - 1 - 12*l**4 - 4*l**3 + 4*l**4 + 0*l**4 to the form j*l + u*l**4 + b*l**2 + p + a*l**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/4559695 and 1\/4810?\nAnswer: 118552070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:08 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(1\/17)*k)**(-15\/7))**(27\/2) assuming k is positive.\nAnswer: k**(-27945\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -77 (c) -0.3 (d) -3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 2*b - 37 - 47 + 117.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (4 - (12 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**4 + 13*z**3 - 13*z + 12. Let w(v) = -v**4 + 2*v**3 - 2*v + 2. Let m(s) = 6*h(s) - 39*w(s). Differentiate m(j) with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5208 + -5208. Put 4, z, 38, 5, 1 in decreasing order.\nAnswer: 38, 5, 4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32258, -41666, -51074, -60482, -69890, -79298?\n\"Answer: -9408*y - 22850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2 (b) 48\/79 (c) -0.1 (d) 0.5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-65 - -149))\/((-18)\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 21*n**2 - 33*n - 38. Calculate the least common multiple of 9 and j(-20).\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111657 is divided by 111159?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43698?\nAnswer: 2, 3, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.085 + -42.085. Let k = m - -50.4. Let i = k - 8. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 73 = -5*h, -h - 13*p + 12*p = -16. Which is the nearest to h? (a) 0.4 (b) 0.03 (c) -1\/6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + i - 3*i)*(-91 + 25*i + 91) + (2*i - i + i)*(i - 2 + 2) to v*i**2 + w*i + f and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + n - 2*n**2 + (1 + 0 + 1)*(-2*n + 13*n**2 + 2*n))*(-5*n + 5*n - 2*n).\nAnswer: -48*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + -12078.\nAnswer: -12159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*h = -720, h = 2*j - 119 + 494. Let v = j + 285. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 277072.4? (a) -0.7 (b) -0.2 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.79 + -13.714. Round p to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -b081907?\nAnswer: b081917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 15. Let h be 9\/6 - m\/2. Solve 4\/3 - 2\/3*b**3 + 4\/3*b - b**h + 1\/3*b**4 = 0 for b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - 3 + 3)*(16 + 3 + 14)*(0*c**2 + 3*c**2 - c**2).\nAnswer: -66*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -30*i**2 + 2*i + 2. Let f(m) = -210*m**2 + 15*m + 15. Give 15*b(d) - 2*f(d).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-14))\/(1\/(-7)). Let u = y - 3. Which is smaller: -2\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/14 and 127\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16805\/86796 - -2\/2411. Let m = z + 1\/36. What is the nearest to 2\/5 in 2, -4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 4*n - 7. Let a(v) = 2*v**2 - 9*v + 13. Let j(y) = -3*a(y) - 5*d(y). Let t be j(5). Solve 0*w + 4*h - t = 2*w, -20 = -5*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254*s - 35*s + 300*s + 304*s - 210*s**2 wrt s?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*-8*(-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 525995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 4*p + 1 + 0 + p - 3*p + 7*p + 8*p + 13*p + 5*p + 4*p + p - 3*p + (1 + 1 - 3)*(3*p + 2*p - 3*p) + 0*p - 2*p + 0*p as d*p + u and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 13*k + 52. Let u be b(-4). Suppose -u = -5*t - 1. Solve -t*m - 11 = 4*h, 5*m - 3*m = -5*h - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 443, 1312, 3089, 6098?\nAnswer: 10663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**5 - q**4 - q**3 - q**2. Let z(f) = 22*f**5 + 2*f**4 + 2*f**3 + 19*f**2. Let c(n) = -2*b(n) - z(n). What is the third derivative of c(s) wrt s?\nAnswer: -1200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 59*l - 51*l. Suppose l*p - 11*p + 76 = 0. Is p a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(70)\/(sqrt(128)\/sqrt(4) - sqrt(2))*-5)\/(((sqrt(5) - sqrt(20)\/sqrt(4))*-2 - ((-1*sqrt(60) - sqrt(60) - sqrt(60)) + sqrt(60))\/sqrt(12))*-5).\nAnswer: -3 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.228? (a) 1\/2 (b) -3\/7 (c) 38 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/7))**(-15\/2)*r**(-5)*r*r\/(r\/r**(-8)))\/((r**(-5)*r*r*r**7)\/(r**(-3)\/(r*r**(2\/7)))) assuming r is positive.\nAnswer: r**(-419\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90363.5 grams in micrograms?\nAnswer: 90363500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*a - 4*x = -191*a - 19, -4*a + 8 = -x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - 9*l**2 + 5*l + 12. Let h be m(-5). Let i = 233 + h. What is i rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:14 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**1)\/l**(-6))**(2\/13) assuming l is positive.\nAnswer: l**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191605.\nAnswer: 5, 38321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30314122 - -2?\nAnswer: -30314120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 2. Let a be x(5). Let z = a - 5. Suppose 6 = -3*h + z*i, h + 3 = 2*h + i. Solve h = -0*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {h: 2, i: 1, b: 1, m: 2, f: 1, r: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89929*o**2 + 30174*o**2 + 29881*o**2 + 29897*o**2.\nAnswer: 23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)*a**(-5\/3))\/(a**(1\/6)\/(a*a\/a**(-5)*a)) assuming a is positive.\nAnswer: a**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(420)\/(sqrt(12) + sqrt(24)\/sqrt(2)))\/(sqrt(63)*6))**2 + (sqrt(5) - (-1 + sqrt(5))*5)*-1 + 1 + (sqrt(605) + 1)**2.\nAnswer: 26*sqrt(5) + 86693\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2482176?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 15. Suppose 0 = n*r - 15, -5*c = r + 3*r + 3. Is c\/(-1 - 0) - -86 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17822411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14979, -29955, -44927, -59895, -74859?\n\"Answer: 2*v**2 - 14982*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8183 - -3?\nAnswer: -8180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 3\/2 (b) -0.3 (c) -46 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14858419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 5*x - 18, -3*x = q - 13. Solve v - p + q = 0, 3*v + 2*p - 6 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*n**3*t**3 - 208*n**3*t**2 + 2212*n**3 - 1150708*n**2 + n*t**2 - 6*t**3 - 2 wrt n?\nAnswer: 366*t**3 - 1248*t**2 + 13272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-33))\/((-26)\/(-6) + -4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, o: 1, c: 1, e: 2, m: 1}. What is prob of sequence ce?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h - 4. What is o(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {j: 2, z: 1, b: 2, y: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -258000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -440*u - 1412*u + 98156 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 5*u + 8. Let r be l(-6). Suppose 2*k = 5*m - 29, m + 2*k + r = 5*k. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/4 + i**3\/6 - i**2. Let f(u) = -u - 4. Let a be f(-5). Calculate g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2270.1 - 2270. Which is the nearest to j? (a) 4 (b) 6 (c) 5 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 11*x - 6. Let l be n(-9). Suppose -d + 126 = 4*d - k, -d + k + 26 = 0. Let r = d - l. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(-4) + (-336582)\/(-184)?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/204 - 118\/(-1416)) + 2\/(-17). Put 6, 3, 4, -27, u in increasing order.\nAnswer: -27, u, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 77*f**5\/20 + f**4\/4 - f**3\/3 + f**2\/2 - 3*f + 30. Does 22 divide q(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 + -3060\/11. Let l = -0.457 - -1.157. Put -3\/5, m, 5, l in descending order.\nAnswer: 5, l, m, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 6*l**2 - 2. Suppose -2*g - 10*g - 48 = 0. Let w be -1 - (-3 - 8 - g). Give t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 26647 = -5*i, -5*c = 3*i - 113459 - 19664. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.46 + -3.5. Let l = m + 0.04. Which is the smallest value? (a) 5 (b) l (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (198\/9)\/(2\/7). What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(61\/(671\/(-22))). Let m be 2 + 2\/(2\/(-3)). Let v be m\/((-9)\/(-5) - 2). Solve 0 = -5*h - o - v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*m**5 - 29732*a*m**3 - a*m**2 + a*m - 114*a + m**4 - 14 wrt m.\nAnswer: 60*a*m**2 - 178392*a + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 35553\/56258?\nAnswer: 35553\/56258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 938 + -500. What is the units digit of 8\/(-36) - s\/(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4 + 4 + k**2. Let s(t) = -7*t - 8. Let o be s(-4). Let q(j) = -o*j**2 - 23*j**2 + 44*j**2. What is q(n(z))?\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159340050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-2*(51\/12 - 2) + 16\/64).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100200212221212 (base 3) to base 14\nAnswer: -98278c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + -1 + (11 - 9) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*j**2 + 77*j**2 - 87*j**2)*(4*j - 7*j + 0*j) - 2*j**3 - 3*j**3 + 2*j**3.\nAnswer: 243*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**4 + 102*h + 20*h**3 + 2*h**4 - 281*h + 2*h**5 - 2 wrt h.\nAnswer: 40*h**3 + 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 553745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**2. Suppose 4*i + i - 40 = 0. Let m(c) be the first derivative of 27*c**3 + i + 5 - 28*c**3. Calculate p(m(b)).\nAnswer: 81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -s - 3, -13 + 14 = -3*r - 2*s. Put -4, 5, 2, r in ascending order.\nAnswer: -4, r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*15223.\nAnswer: -7611.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (397796*q - 774203*q + 396162*q)*(-4*q + 4*q - 3*q) to the form y*q**2 + r*q + i and give y.\nAnswer: -59265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*2*-6)\/(sqrt(10) + sqrt(10) + sqrt(40)*-2) + 3.\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*b - 17 = 0, -5*m + 15 + 8 = 3*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 4. Let g be 17\/8 - 2\/16. Let q be a(g). Suppose 0*o + 5*o - 6 = -q*i, 0 = 5*o. Solve 2*f - 18 = -4*u, -i*u + 2*f + 17 = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 26*z**2 + 58*z + 62. Let v be n(-28). Solve k + v - 1 = 3*y, 5*y = k + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 8 + (-80 - -70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, -1535?\nAnswer: -1535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 19 = -4*a + 3*d, 462*a - 458*a + d = 7*d - 34 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2782, 2780, 2778?\nAnswer: 2776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 157. Give r(10).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/21 - h**5\/20 - h**4\/12 + 11*h**3\/3 - 2*h + 27. Find the third derivative of n(i) wrt i.\nAnswer: 120*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/15 (b) 1 (c) 0.33 (d) -2\/11 (e) 1\/30 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 49 = -6*i. Suppose 5*u + 13 = i*z, 3*z + 3*u - 5*u = 8. Let r(w) = 5*w**3 - w**2 - 2*w - 1. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 60*h**3 - 260*h**2 - 480*h - 320.\nAnswer: -5*(h + 2)**2*(h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 8*o**2 + 7*o - 5. Suppose -5*f + 3*v + 2 = 55, 0 = -2*f - 2*v - 34. Is m(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3, 0*v - 2*v = 2*f - 2. Suppose 0 = f*b, -4*b - 24 = -3*p - 0*b. Calculate the highest common divisor of 12 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216, -308, -434, -600, -812?\nAnswer: -1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 17211, 4, -5 in descending order.\nAnswer: 17211, 4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millennium in decades?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 9854*q\/5.\nAnswer: 2*q*(q + 4927)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2240693\/48 + 46679. What is the common denominator of f and -137\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-1 + sqrt(152) - sqrt(152))*-4)\/(sqrt(128) - sqrt(128)*-3).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.4 - 6.4. Which is the second biggest value? (a) i (b) 9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1586*g**2 + 501*g - 658597.\nAnswer: -3172*g + 501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197461922 and 7742.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 766*x**2 - 88235*x - 5 + 88235*x as o*x + i*x**2 + a and give i.\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 30. Suppose -3*l - 11 = t, m = t + t - l. Find the third derivative of t*s**2 - s**2 + s**2 - s**2 + 2*s**3 wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22348.03*-15.\nAnswer: 335220.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10023.76 litres?\nAnswer: 10023760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61655, 61657, 61659?\nAnswer: 61661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 4*u**5 - 4*u**5 + (-2*u + 1 - 1)*(-6*u**4 + 3*u**4 + u**4) + 15*u**5 - 19*u**5 - 33*u**5.\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 + 3*f**2)*(4 - 5 - 12*f - 5*f)*(-3 + 3 - 2*f**2).\nAnswer: 102*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1445*b**2 - 3 + 258*b - 258*b - b**3.\nAnswer: -b**3 + 1445*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 3, v: 6, b: 1}. Give prob of sequence vvb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 6. Let b = z + 7. Suppose -3*y = b*y - 85. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 9}. Give prob of sequence sppp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**3 + 33*i**2 + 53*i + 22. What is the remainder when 342 is divided by c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -140 - -139.95. Let m = -22 - -24.6. Let l = 3.6 - m. Which is smaller: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 12, 2*o - 28 = 2*i + 1578. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllalallaaala. Give prob of picking 2 l.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33\/20 (b) 2 (c) 1\/5 (d) 5 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -110, 242, 840, 1684, 2774?\n\"Answer: 123*q**2 - 17*q - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 - (73 + -158) - ((-42 - -2) + 0 - -3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 6?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 40.6. Let m = -7 + p. Put m, -2, 5 in decreasing order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyeeyey?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 2*n**4 - 3*n**2 + 43*n**2 + 36*n**2 - 38*n**2 + 3 as f*n**4 + s*n**2 + r + b*n + h*n**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**5 + 28*u**4 - 72*u**3 - 307*u**2 - 288*u. Let s(w) = -6*w**5 - 15*w**4 + 36*w**3 + 153*w**2 + 144*w. Let v(f) = 3*h(f) + 5*s(f). Factor v(t).\nAnswer: 3*t*(t - 4)*(t + 2)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103324414?\nAnswer: 2, 101, 511507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117024 is divided by 289.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-3\/7)\/z))\/z)**(6\/5)*((z*z**31)\/z*z)**50)**(-4\/13) assuming z is positive.\nAnswer: z**(-44848\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 128 = 20*j. Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4624126 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2057)*-2)**2.\nAnswer: 131648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*q + 31 = 6, -3*x - 4*q = -20. Suppose x + 47 = -4*y - 5*n, 4*y - 3*n = -23. Let k(c) = c**3 + 7*c**2 - 10*c - 1. Give k(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in 1, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 160*t**2 - 2*t + 2. What is the hundreds digit of o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -319, -10 in ascending order.\nAnswer: -319, -10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10*c**2 + 2*c. Let p(s) = 18*s**2 - s - 1. Let o(w) = -189*w**2 + 14*w + 11. Let b(d) = o(d) + 11*p(d). Give 4*b(t) - 6*q(t).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 706140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*k - 825, 5*k - 1030 - 361 = h. Suppose u - 5*u = -2*j - 254, 4*u - k = -3*j. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28717\/72897)\/((-2)\/33).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/210 - 3*q**5\/35 - 8*q**4\/7 - 104*q**3\/21 + 75*q**2. Determine i so that g(i) = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 9. Let s(i) = -i + 4. Let k(p) = 3*l(p) - 7*s(p). Let j(w) = 9*w + 4. Let u(v) = -j(v) + 3*k(v). Is 9 a factor of u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/3744 and 55\/144.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*s + 180. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454931 is divided by 454736?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 782.1834 days in microseconds?\nAnswer: 67580645760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Let f = p + -3.1. Let y = -0.2 + f. What is the closest to -0.1 in -5, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -5. Suppose -3*u - 37 = 2. Let h = -8 - u. Solve -2*v - 5*m - d = 0, -3*v + 5*m + h = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -11*c**6\/10 + 51*c**2\/2 - 47*c. Differentiate s(y) wrt y.\nAnswer: -132*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 + 2*t + 12. Suppose 54*o = 94*o + 120. Determine c(o).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 123, -0.07, 7112?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.102 + -10. Let i = k - 0.402. What is the nearest to 1\/3 in i, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 6*h**2 + 6*h + 3. Let n(z) = -z**2 + 9*z + 5. Let b be n(9). Let u be t(b). What is the units digit of (-45)\/(-10)*u\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 10*c**2 + 7*c + 8. Determine b(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -243, -248, -253, -258?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 135*f + 4325. Calculate c(-84).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 - -8 - -1)*19*2. Suppose r*u - 2178 = 35*u. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, -1\/5, -1, 0.29.\nAnswer: -3, -1, -1\/5, -1\/6, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x + 131. Let n be u(-16). Let p(w) = -w + 1. Let h be p(-1). Suppose b + n = -4*m, h*b + 3*b + 2*m - 21 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/20)\/(99\/(-1452)))\/(1\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/3 - 48*m**4 + 2096*m**3 - 82816*m**2\/3 + 79872*m = 0. What is m?\nAnswer: 0, 4, 16, 52, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20626 * 0.3.\nAnswer: 6187.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*f - 6591 + 6576 = 0, -3*w = -2*f + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 49*r**2 - 46*r + 89. Determine f(-48).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -39) + -90 + 143 + (-97 - -19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 747 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290 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: Solve -399 = -10*c - 459 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 277 = -a + 72, 277 = 4*h - 5*a. Suppose -h*q + 1109 = 293. Calculate the remainder when 59 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/3 - 21*d**2 - 29*d - 1. What is the first derivative of p(i) wrt i?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 + -5.4. Let y = 1.3 + z. Let j = y + 9.2. Round j to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 1\/2, -1, 1\/12.\nAnswer: -8\/7, -1, 1\/12, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwlwnfw. What is prob of sequence wz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*t - 59 = 0, -28 = 3*y - 3*t - 97. Calculate the remainder when 165 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/384719452 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 74*k**3 - k + 2. What are the prime factors of r(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/686*-4)\/(2\/(-7)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 12:35 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-40)\/(-32) - (-37)\/(-36). Let o = 0.1 + 2.9. What is the third biggest value in o, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 449317655 by -89863531.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 9*g = -434. Suppose 6*o - 5*o + 4*w = 23, 2*o + 5*w - g = 0. Let m = 7 + -4. What is the lowest common multiple of m and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.67 take away -2?\nAnswer: 12.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*a**3*b**3 - 6*a**3*b + 17*a**3 - 5*b**3 wrt b?\nAnswer: 114*a**3*b - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + -32 - 0 - -218) + -31.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319296 and 99780.\nAnswer: 1596480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 3*k + 6. Let f(m) = m**2 - 2*m - 4. Let i(w) = 3*f(w) + 2*j(w). Let x(n) = -5*n. Let h(d) = -d. Let r(g) = -4*h(g) + x(g). Calculate r(i(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56526?\nAnswer: 2, 3, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1288*z**6 - 75*z**4 - z**3 + 45925*z**2 + 94*z - 2 wrt z.\nAnswer: 154560*z**3 - 1800*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-990)\/1650)\/(1\/1))\/((-3)\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 e, and 1 d when four letters picked without replacement from {d: 2, c: 8, e: 4}.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32525800 + 2.2275.\nAnswer: 32525802.2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -43*z**3 + 10*z + 7. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -4)\/1 + 2. Sort j, 1, 4.\nAnswer: 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -221*h - 89. Let l be i(-3). Let o = 651 - l. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) 4\/3 (c) 5 (d) -2\/3 (e) 6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zznx when four letters picked without replacement from xzjzxnnznzzx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*(-42)\/175*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -447.3 - -448.3. Let k = 2.9 - -0.1. What is the closest to t in k, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -216*o + 28*o**3 - 40 + 109*o**2 + 45*o**2 + 76 + 111*o**3. Let d(g) = 140*g**3 + 155*g**2 - 215*g + 35. Let z(r) = 4*d(r) - 5*x(r). Factor z(t).\nAnswer: -5*(t + 2)*(3*t - 2)*(9*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-8))\/((-19)\/(-38)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-69 + 71)\/((-4)\/1808*-8) is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0245675 - 57.1646.\nAnswer: -58.1891675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - i - 2. Let v be c(2). Let b(u) = 21*u**2 + u. Let y be b(-1). Suppose -6*q + 2*q = -4*w - 4, 4*w + 4*q = 4. Solve v*d - y = -w*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f - 17. Let l(w) = -w - 2. Let q(u) = a(u) - 5*l(u). Let p(n) = -n**2. Calculate q(p(i)).\nAnswer: 2*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) + -1) + 3 + sqrt(8) + sqrt(8) + 0 + -3 + ((sqrt(4)\/sqrt(2) + sqrt(2))*-3 + 1 - (sqrt(6)\/(2*sqrt(6)\/sqrt(2)))**2).\nAnswer: -7*sqrt(2) + 11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32026*p**2 - 977*p - 4 wrt p.\nAnswer: -64052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -0.06631?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20 and -258488981?\nAnswer: 258489001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276140.04 rounded to the nearest 1000?\nAnswer: 1276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l + 1 = 0. Let v be 60\/27 - (1 + 1). Let q = -21.6 + 17.6. Which is the closest to l? (a) v (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -7*s + 7*s + 11 - 23*s**3 - 70 - 55*s**3. Let d(n) = -2*n**2. Calculate t(d(w)).\nAnswer: -936*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f*f**(-5\/3))\/(f**1)**(-10) assuming f is positive.\nAnswer: f**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1017, 2034, 3051, 4068?\n\"Answer: 1017*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13567994 is divided by 13567986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1240 + -18?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-100 + (12 - (-6 - -10)) + -9 + 11)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3170949.3 rounded to the nearest 1000?\nAnswer: -3171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 23*v - 18*v = 11, -1 = s + v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-5 - (-2 - 4) - 1) + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 12, 0.5, 3, -13568, 9.\nAnswer: -13568, 0.5, 3\/5, 3, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.66 - 0.34. Let z = 3 - 2.8. Sort z, v, 5 in descending order.\nAnswer: 5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/12 and -75\/8116?\nAnswer: 24348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - -2. Let g = -119.7 - -119.2. Which is the second smallest value? (a) 0 (b) g (c) -1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d. Let y(s) = 507*s**2 - s + 14. Calculate n(y(g)).\nAnswer: -3549*g**2 + 7*g - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2) + (-100)\/(-16) + -6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxsysynyxsd. What is prob of picking 2 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*w - 85*w - 12*w - 69*w. Let q(a) be the first derivative of -a**3\/3 - a - 1. Determine q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -3 + (-9)\/(-6). Let v = 11 - 5. Let d = 5 - v. Sort z, d, 0 in decreasing order.\nAnswer: 0, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137178 = -t - 4*j, 3*j = 4*t + 475031 + 73624. Is (-6)\/(-9) + t\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-4))\/(51\/(-136)). Suppose 4*j + 4*q - 3*q - 16 = 0, w = -q. Solve j*o - 8*o = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2010)\/(-24) + 2\/8. Suppose 0 = i - 3*r + 3, 0 = 2*i + r - 8. Suppose -u + 12 = -4*z, 0*z = i*u + 4*z - y. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 199, 210, 223, 238, 255?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:16 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 6*w - 4. Let j be f(-1). Let t be 1 + j - (-26)\/13. Suppose 3*r + 8 = -5*l, 2*r - t*l = -7*l - 5. Which is smaller: 4\/31 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-63))\/(8\/(-56)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y - 364 = 0. Let v be (-30)\/75 + y\/(-5). What is the highest common factor of v and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1315*q**2 - 155497*q + 310993*q - 155496*q.\nAnswer: -1315*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3985209)\/9657 - -413)\/(3 - 1*(-1 - 0)).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1 - w**3 + 11*w**2 + 3 - 3. Let c be g(11). Let s = -8 - -12. What is the third biggest value in s, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1967*k**2. Let f(w) = 4*w**2. Let v(n) = -42*f(n) - z(n). Let q(m) = m**2. What is q(v(r))?\nAnswer: 3236401*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -34520?\nAnswer: -34515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 - 585*f + 4550862 = 0 for f.\nAnswer: -1333, 1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*c - 3*c. Find p such that -2*p**5 + 8*p**4 - 2*p**3 + 4*p**3 - 4*p**2 - 4*p**c = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p**2 + 2*p - 3. Determine y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1016328, -4065281, -9146856, -16261047, -25407848, -36587253, -49799256?\n\"Answer: d**3 - 1016317*d**2 - 9*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 98*v + 146. Calculate the lowest common multiple of 88 and m(27).\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 67.944. Let j = -0.041 + i. Let f = 0.096842 + j. What is f rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655850643.\nAnswer: 3, 7, 47, 71, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/(s*s*s**(2\/7)*s*s*s))))\/s)\/(s\/s**(12\/11)*s))\/((s*s**(-3\/7)*s)\/(s\/s**(4\/3))) assuming s is positive.\nAnswer: s**(-1871\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2643854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4290?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 4. Let p(u) be the third derivative of u**4\/24 + u**3\/2 - 7*u**2. Calculate 4*j(x) - 5*p(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 3 + (-2)\/1)*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d2b7 (base 14) to base 16.\nAnswer: 1b9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 2 (c) 1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/24*(4 + 40\/(-6)). Let t(f) = 4*f**3 + 2*f + 3. Let n(p) = -5*p**3 - 3*p - 3. Give x*n(s) - 3*t(s).\nAnswer: -2*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 366262 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/2)\/((143\/22)\/(-13)). Solve -t*d = 3*b - 14, b + 3*d = d + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (9 - (-2 - -9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00464995 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + 110010011010010?\nAnswer: 110010010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14267, 28536, 42805, 57074, 71343, 85612?\nAnswer: 99881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5124)\/588 + 4\/(-14). Let j(m) be the first derivative of -6*m**2 + 13*m + 1. What is the units digit of j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/2)\/(-2)*(-3)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 949*h + 6460. Calculate f(-7).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 15 = 0. Let b be (4 - -14)\/3 - 0. Let d be b*((-1)\/(-6) - 0). Solve -n - n - d = -f, n = -h*f - 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:49 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 161\/(-805)*1200\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 307\/7 and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*k**3*t + 87710*k**3 + 109*k*t - 10*t with respect to t.\nAnswer: -7*k**3 + 109*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*j + 128 = -63*j + 1730 + 1373 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4 - 98*f**3 + 86*f**2 + 474*f + 288 = 0.\nAnswer: -1, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11925\/424*(-40)\/90\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384)\/(-1080) + 2\/(-9).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 + 40 + 24*x**2)*(4*x - 19 + 2*x**2 + 0*x**2 + 16) in the form k*x**4 + t*x + n*x**3 + i + y*x**2 and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 0*t - t + (3 + 2*t - 3)*(-2 + 0 + 1) + (-1 + 2 - 5)*(11*t + 2*t - 44*t).\nAnswer: 120*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -65?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 429527 + -173688. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 61*h**2 + 54*h + 33. Let r(o) = -21*o**2 - 17*o - 11. Let i(b) = 7*r(b) + 2*x(b). Let p(u) = -13*u**2 - 6*u - 6. Calculate 6*i(q) - 11*p(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -272 - -312?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9241.02 months to centuries.\nAnswer: 7.70085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*z + 3309*z + 1772*z.\nAnswer: 4661*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 22*h**3 - 4*h**2 + 3*h - 6. What is the remainder when 193 is divided by f(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -955?\nAnswer: -955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = k - 6, 0 = 4*k - 2*p + 6*p. Let h be -4 + -1 + 1 + k. Calculate the least common multiple of 14 and (-44)\/(-6) - h\/9.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4364912\nAnswer: -21824560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23395*d**5 + 636*d**4 - 3*d**3 + 261*d**2 - 780*d + 9.\nAnswer: -1403700*d**2 + 15264*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -565410 divided by -282?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n - 27. Let r = 9 + n. Suppose 0 = -4*m + 24 - r. Which is greater: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67556187*v**2 + 282954502*v.\nAnswer: -135112374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + (5 + sqrt(847) + sqrt(847) + -3 - sqrt(847)))**2 + (-5*(-3 + sqrt(847)))**2.\nAnswer: -1562*sqrt(7) + 24792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 + 11*g - 24. Let y be f(7). Put -3, 3, y, -41 in increasing order.\nAnswer: -41, -3, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 5. Let y(d) = d - 1. Let b be y(v). Suppose -g = -4*j + 16, -11*g - 18 = -13*g - 2*j. Solve -g*p + 20 = 4*r, -p - 3 - 4 = -b*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + 27*y**2 + 18*y - 32. Let f be r(14). Solve -4*o + 3 = a + f, a + o = -6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 17*l**3 - 19*l**3 + 44*l**3 to the form w*l**2 + c + u*l**3 + i*l and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c - 13. Let x be a(1). Find the common denominator of 38\/27 and 5\/4 - 20\/x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1301.99999607 + 1302. Round z to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0. Let z = 1.67 - 1.5. Let m = z - 0.17. What is the nearest to a in -1, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380815166?\nAnswer: 2, 269, 4425307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l. Let m(g) = g - 6. Let b = -6 + 9. Suppose 3*n = 4*d - 2 + 17, b*d = 0. Let v be m(n). Determine y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - 2*c)*(2*c - 3*c + 3*c)*(488 + 154 + 517 + 1602).\nAnswer: 11044*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddbddbdddddd. What is prob of sequence ddbb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3550\/15 - (-12)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18390 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -18, -60, -124, -210, -318, -448?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*j + 3*j. Suppose -4*h - 2*s + 26 = 0, 0 = -j*h - 4*s + 16 + 11. What is the third derivative of -c**2 + h*c**2 - 2*c**2 + c**3 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.43 (b) 43 (c) -2\/3 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-336)\/(-32) - 8)*4\/(-5). Sort 1, 2, l.\nAnswer: l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 275 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37\/2 - -89\/6. Calculate the common denominator of (-3 - 0)*(2 - 40\/21) and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211428*b**5 - 552*b - 179 wrt b?\nAnswer: -4228560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -110100010001010110?\nAnswer: -110100010001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 96. Let r be h(-30). Solve 4*k + 5*k - r = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 370164921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x + 9. What are the prime factors of r(7)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 18667*c\/5 - 18668\/5.\nAnswer: (c - 18668)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 9*v - 2*o = -7, -11*v + 7*v - 2*o = -16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*a + 6 = 0, 2*a = 3*u - 2*a - 3. Let z be u\/(-14)*4\/(-3). Let t = 0.2 - 0.1. Put 1, t, z in descending order.\nAnswer: 1, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.85891 rounded to the nearest integer?\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -164. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.57914099 to 2 dps.\nAnswer: 6.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*g + 2*g - 3*g + 18*g to the form r + u*g and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -4)*6)**2 + -6*sqrt(76)\/sqrt(4) + 3*sqrt(2736)*-2*4.\nAnswer: -582*sqrt(19) + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1741110 and 630?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -15. Suppose 4*c + 2*n - 6 = s, 5*c + 3 = -4*n + 9. Let w(r) = -18*r + 274. Let m be w(15). Solve -v + c = m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 6*s + 4*s)*(0 + 0 + 2) + (4 + 3 - 4)*(2*s + 0 + 0).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -35.1. Which is the biggest value? (a) 0 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34534212.\nAnswer: 2, 3, 67, 42953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((-1035)\/50)\/3. Is s != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1026)\/(-4) + (2\/14)\/((-20)\/210) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543088*p + 270469*p + 272620*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**3 - 3 - k + 3 + 0 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -17*d + 34. Let g(k) = 51*k - 121. Let p(u) = -2*g(u) - 7*s(u). Let v(c) = 29*c + 28*c - 56*c. Calculate v(p(h)).\nAnswer: 17*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 22*b + 23. Let g be h(21). Is g greater than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 718 and 2?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 2*q**2 + 4*q - 3*q - q**3 to the form u*q + w*q**2 + m + r*q**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7369451?\nAnswer: 29, 254119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v + 0*v)*(-3*v - 3*v + 5*v)*(-v + 2*v - 5*v + 2*v + 2*v - 5*v + (-1 - 2 + 1)*(-5*v + 3*v + v) - 7*v + 4 - 4 + 4*v - 3*v - 2*v).\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, -3, 2, 1 in decreasing order.\nAnswer: 17, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/272 and 113\/748.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**3\/6 + 32*z + 10. Let l(m) = -2*m**2 - 2*m. What is l(a(h))?\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + sqrt(272) + 2 + -5)**2 + -2*sqrt(272) + -3 + 2.\nAnswer: -56*sqrt(17) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d + 37*d - d**2 - 7*d - 12*d. Let m(t) = 5*t**2 - 7. Calculate m(i(a)).\nAnswer: 5*a**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a week in minutes?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 7*u = -372. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5\/13 - 300*k**4\/13 - 1214*k**3\/13 + 153492*k**2\/13 + 464536*k\/13 + 23856 = 0.\nAnswer: -142, -26, -2, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228414 is divided by 37?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*j - 335*g*q - j**2*q + j**2 + j wrt j.\nAnswer: -2*g - 2*j*q + 2*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/5)*i*i)**(4\/7)\/((i\/(i*i**(-2\/17)))\/(i\/(i\/(i\/(i*(i**(-3)*i)\/i*i*i))))))**(-46) assuming i is positive.\nAnswer: i**(-77326\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6658 - 3773?\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(-3\/5)*z*z)\/z)*z**(1\/9))\/(z*z**7*z*z**2))\/(((z**(2\/3)\/z*z*z)\/z)**(-6\/17)\/(z*z**(-1\/2)\/z)**45) assuming z is positive.\nAnswer: z**(-51337\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 5*f. Let a be t(5). Let m be (-225)\/105*(21\/20)\/(-21). Is a <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 716 and 2685.\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 232 (b) 0.689 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(-2)\/(-4) - -3. Suppose -p*q - 16 - 2 = 0. Is -6 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1775.9 + 1773.8. Let n = 26 + -26.3. Put -4\/5, -2, p, n in descending order.\nAnswer: n, -4\/5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1782 and -131\/198.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664*o = -665*o + 259. Is o a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 9, 20, 45, 90?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 131 = 4*s + 2*w, 73 = 2*s + 5*w. Let m = s - 5. Suppose 5*c - 13 = 3*i + m, 4*c = -2*i + 12. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -i + 485, -5*r + 3*r = -2*i + 972. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cxcccxccccxccx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 3*h - 10. Let j be a(-7). Suppose -2*c + 2*l - 2 + j = 0, -2*c - 2*l = 0. Solve -5*o = -f - 6, f - c*f + 18 = 3*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29369177 to the nearest one hundred thousand.\nAnswer: -29400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12411 and 38440216?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 46. Is (1174\/2 - 0) + n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2 = 2*g, -4*g + 0 + 16 = 3*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.69 and -0.1.\nAnswer: -0.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898374?\nAnswer: 2, 23, 41269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312 and 168?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 317*n**3\/3 - 5*n**2\/2 + 8*n + 40. Is h(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 239918839 and -13.\nAnswer: 239918826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 - 17*w - 11. Suppose 11 = l + 5. Let p(d) = 3*d**2 + 9*d + 6. Let a(v) = l*z(v) + 11*p(v). Give a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by ((-7)\/(-3) + 2)\/(-3 + (-2478)\/(-819))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 17595*j\/2 + 17596.\nAnswer: -(j - 2)*(j + 35192)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -59688 divided by -1404\nAnswer: 1658\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 11?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iriir. Give prob of sequence ii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 10. Suppose -77 = -r*j + j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4*h - 133, -7*h - 93 = 5*z - 6*h + 34 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3535279269 to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -309 smaller than -1233\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 34 (c) -1\/3 (d) -201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -120. Let w(x) = x**2 - 10*x. Let m be w(n). Suppose 0 = 4*d - 4, 2*d - d + 119 = i. What is the greatest common divisor of m and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from teeqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s - 32 = -32*s. Differentiate -8*j**2 - 2*j**2 + 4*j**2 + s + 10 with respect to j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -7788 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*y = 0, -28*y - 5 = -2*t - 25*y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x**3 + 231*x + 15*x**3 + 35*x.\nAnswer: -3*x**3 + 266*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3919 - 31287\/8. Calculate the common denominator of u and 89\/1102.\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-131*o + 16 + 18 - 35) as h + u*o and give u.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - s**3 + 0*s**3 + (2 + 0 + 0)*(16*s**3 - 4*s + 5*s - 30*s**3).\nAnswer: -29*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 + 10*m - 8. Let g be v(8). Let j = -34 - g. What is the smallest common multiple of j and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3745*r**4 - 597*r + 1 wrt r?\nAnswer: -44940*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-68)\/(-352))\/(1 + 100\/(-112)) and -11\/87.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*a = -2399, -13*a = -v - 8*a + 1217. Let x = 12 + -6. Suppose -x*z + v = -506. List the prime factors of z.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1215559, 2430910, 3646261, 4861612, 6076963, 7292314?\nAnswer: 8507665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 132355 times 1.5\nAnswer: 198532.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 491437 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 > -2830\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 673 + -671. Calculate the lowest common multiple of v and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 423*j**4 - 525*j + 437481.\nAnswer: 1692*j**3 - 525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (-1 - 0)*-4. Suppose -4*o + z*o + d = -111, 12 = 4*d. Is o\/15 + (-11)\/(-5) + -2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 8*p**2 + 36*p + 187. Let i be d(-6). Solve 3*c - 44*w - 10 = -i*w, -c = 5*w + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 2, g: 1, y: 3, z: 3}. What is prob of picking 1 z and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 785800 divided by -200.\nAnswer: -3929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16\/75, -1, -1\/71, 0.2, -13, 0.1, -4?\nAnswer: -16\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, -35071, 1, -1\/11?\nAnswer: -35071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (2 + 1 + -2). Let i = w + 79. Suppose -t - 2*t - 4*l + i = 0, -2*t + 5*l + 64 = 0. Calculate the highest common divisor of 18 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*s - 1 = -0, s = -2*z + 23. Suppose -5*x - 380 = -5*n, -n = -4*x - z - 64. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z - 21 - 1\/2*z**2 + 1\/12*z**4 + 0*z**3. Determine c(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a + 81. Calculate g(-19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = l + 3*l. Let s(z) = -z**3 + z**2. Let m(c) = 4*c**3 + c**2 - 3*c + 3. Let j(h) = l*s(h) + m(h). Determine j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 12:35 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 25285*w - 1226960.\nAnswer: -5*(w - 5008)*(w - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 12. Suppose -m*q - 132 = -7*q. Let g = q - 7. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -95 - (3657 - 3827).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 8*s**3\/7 + 18*s**2\/7 - 116*s\/7 - 30\/7 = 0.\nAnswer: -5, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -c - 5*c + 5*c + (4 - 4 - 1)*(2*c - 3 + 3) + 0 - 2*c + 0 + c - 3*c + 4*c - 192*c - 289 + 289 + 3*c - 3*c - c as x*c + n and give x.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72682 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135703622 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-48) + (-931)\/588. Let r = -28 + -29. Put 4, o, r in decreasing order.\nAnswer: 4, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -3*g**5\/140 - 43*g**4\/28 - 3*g**3 + 49*g - 120. Let s(b) be the first derivative of z(b). Factor s(d).\nAnswer: -3*d*(d + 1)*(d + 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/182)\/((-1)\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330 and 2270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -212004?\nAnswer: -211444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/12 - 14*f**3\/3 + 97*f**2 - 3040*f. Calculate i(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*r**3 + 17*r**3 - 48*r**3)*(5*r - r - 5*r) + r**4 - 2*r**4 + 6*r**2 + 0*r**2 to d*r**3 + x + b*r**2 + m*r**4 + l*r and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.005 - 2.525. Let j = b - -5.53. Put j, -4\/9, 1\/5, -0.4 in increasing order.\nAnswer: -4\/9, -0.4, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/23)\/f**(-1\/2)*(f*f\/(f*f**(-2\/7)*f)*f)\/f**(2\/13) assuming f is positive.\nAnswer: f**(6467\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -10.4 (b) -2 (c) 3 (d) -0.3 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.132973 minutes in microseconds?\nAnswer: 247978380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 6*g**3 - 6*g**3 + 14*g**2 + 2*g**2 - 12*g**3.\nAnswer: -4*g**2*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1563 - -410?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.874592 kilometers to micrometers.\nAnswer: 8874592000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 + 1687*u**4 - 235753*u**3 - 397055*u**2 - 80088*u + 79524 = 0. Calculate u.\nAnswer: -1, 1\/3, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1883 and 1884 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4 and 39\/296.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18527? (a) -7 (b) 1\/4 (c) 0.5 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + b - 6. Which is smaller: b or -2\/1019?\nAnswer: -2\/1019","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -51, -99, -167, -255?\n\"Answer: -10*f**2 + 2*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.12 + -0.12. Is u > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/19423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -4, -3, 0.\nAnswer: -44, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -g - 3*i, 0 = -4*g + 4*i. Is g at most as big as 5\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1803*u + 1 - 1 - 3196*u - 1143*u**2 wrt u.\nAnswer: -2286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -19*z + 440. List the prime factors of ((-6)\/4)\/(z\/(31680\/(-27))).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -303*g**2 + g*w + 16480*w wrt g?\nAnswer: -606*g + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 1, -1, -104, -3 in descending order.\nAnswer: 29, 1, -1, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Suppose -x = -3 - u. Suppose 0 = 2*c + 3*c - 320. What is the greatest common divisor of c and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6234725 or -6234727?\nAnswer: -6234725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -13*n**2. Let c(b) = -46*b. What is c(r(v))?\nAnswer: 598*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 2847*a - 2846*a - 12 - 10 - 5 + 17 + 16.\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126256426*q**2 - 252512881*q**2 + 126256428*q**2.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 29*k**3 + 6*k**2 - 6. Suppose -17*o + 76 = -4*o - 2. Let p(v) = 29*v**3 + 7*v**2 - 7. Calculate o*p(g) - 7*n(g).\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 5*h + 9 - 10 - 18 - 17.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) 0.2 (c) -141\/11 (d) -1\/5 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 295596\/2116 - 105.\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - 0.119822?\nAnswer: -0.049822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 at least 728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321503 and 293239?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 599 - 594. Suppose -97 = -4*a - h*u, -u = -a - 5*u + 38. What is the highest common divisor of a and 594?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((176\/(-660))\/(12\/(-10)))\/((-14)\/147).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l**2 - l**2)*(-9 + 188*l**2 - 34*l**2 + 10 + 385*l**2).\nAnswer: -1078*l**4 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 440*a - 870. Calculate the remainder when 206 is divided by p(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.70406, 8 in decreasing order.\nAnswer: 8, 1.70406, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -206. Let l = -137 + q. Let s = 1.1 - 1.5. Which is the closest to l? (a) -0.5 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11728576181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -44 - 34. Suppose -3*s + z = -4*s. Let n = -6 - s. Solve 0*g = 4*g - n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(130) - sqrt(130)*-2) + sqrt(130) + (-2*sqrt(130) - sqrt(130))*-2)*4)\/(5*((sqrt(90)*-1)\/sqrt(9) + (sqrt(10) + sqrt(30)\/sqrt(3))*-1)).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p - 2*p - p)*(28 + 66 - 12) to u*p + s and give u.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 4*z**3\/3 - 207. Let c(i) = -142*i. What is c(x(k))?\nAnswer: -568*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 3*x**2 + 5*x + 1. Let o be d(4). Suppose 2*u - 16 = -3*a, -3*u + o*a + 7 = 2. Let j = 2 - -1. Solve -2*q = -j*q - u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.98 + -1.48. What is the nearest to -2\/5 in 8, 2\/7, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 285536?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 314, 466?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0*u + 47. Suppose -4*k = -0*k + 80. Let h = k + u. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -8 (b) -6 (c) 5 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 2, e: 1, t: 1, s: 1}. What is prob of sequence rnn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 8:30 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**2\/2 - 5438. Let y(o) = -52*o + 1 + 10*o - 8*o - 51*o. Give t(y(v)).\nAnswer: 101*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 91476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -20 in descending order.\nAnswer: 5, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4910263 years in millennia?\nAnswer: 0.0004910263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 43*s**6\/30 + 7*s**3\/2 - 3*s**2 - 9. What is the first derivative of j(a) wrt a?\nAnswer: 516*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8603*g - 522 = 8585*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:35 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114\/6*(-1 - 26). Let r = -212 - d. What is r rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 594 - 596. What are the prime factors of k\/((-2)\/(-197))*6\/(-2)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2966, 5927, 8902, 11897, 14918, 17971, 21062, 24197?\nAnswer: 27382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p*p*p\/(p*(p**13\/p)\/p)*p))*p*p)**(13\/3) assuming p is positive.\nAnswer: p**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2191 - -2191.5. Let t = 51\/4 + -25\/2. Sort 4\/5, t, k, 0.96 in increasing order.\nAnswer: t, k, 4\/5, 0.96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323578 is divided by 41.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/18*-4*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21425.\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(175\/(-30)) - 4\/(-20))*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -1. Suppose k = -3*k - 5*u + l, 4*k + u - 31 = 0. Suppose -10*b - 3 = k. Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/16 and 5\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -17*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in -0.61, 0.5, 17, -2\/5, 1\/8, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 486292, -1 in descending order.\nAnswer: 486292, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:35 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 401152076 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6692176*x**3 - 3536766*x**2.\nAnswer: -40153056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**5 - 4 + 4 + (-3*t**3 + t**5 + 3*t**3)*(0 + 0 - 3).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u - 9*u**2 - 3*u**4 + 2*u + 20*u**3 + 79*u**3 - 24*u**3 - 10*u**2 wrt u.\nAnswer: -72*u + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -16067b?\nAnswer: -16066b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/45*3*-5. Which is the third smallest value? (a) -0.5 (b) s (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61\/106 - -4\/53. Let s be (-15)\/(-21)*4\/10. What is the closest to s in -2\/7, i, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6658325?\nAnswer: 5, 266333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -601, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/29 + 97\/58. Let x(m) be the second derivative of 1\/4*m**5 - 4*m + 0 + m**2 + o*m**3 + m**4. Solve x(u) = 0 for u.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -569*l + 0*l**3 - 8*l**3 + 4*l**3 - 219*l in the form w*l**3 + a*l + f*l**2 + u and give a.\nAnswer: -788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 136, -133, -1\/217 in increasing order.\nAnswer: -133, -1\/217, 4, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, n: 2, o: 2, t: 6, g: 3, j: 1}. What is prob of sequence oon?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -2, -177 in descending order.\nAnswer: -1, -2, -6, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 8*g**2 - 420*g + 4590. Give n(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 522\/13, 2\/19, -1.4, 0.03, 14\/3, 1\/2?\nAnswer: 522\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 19*q**2 - 4*q + 4. Let r be g(3). Suppose 0 = 682*p - 681*p + f - 7, 0 = -4*p - 2*f + 12. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115918.953463 - 115919. What is g rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from mgdydxc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*a + 214 - 1132 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2486, 4980, 7474, 9968, 12462, 14956?\nAnswer: 17450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/2*4\/(-6). Let r be o\/4 + (-3)\/(-4). Solve 5*b = r, -3*g - 3 = -2*g + 4*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*d + 1 = -9, d = -t - 4. Does 14 divide (-92)\/(1\/(3\/t))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 15*m - 1. Let z(f) = 45*f - 5. Let r(t) = 8*g(t) - 3*z(t). Let i = -4 - 5. What is the hundreds digit of r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2. Let r(b) be the third derivative of -b**5\/20 - 176*b**2 + b. Give r(p(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 80*y**2 - 453*y - 13. Is n(48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, w: 1, f: 4, l: 7, j: 2}. Give prob of sequence wj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3840009.8 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + (-1*sqrt(245) - (sqrt(5) - (-1 + sqrt(5) + 1))) + sqrt(10)\/sqrt(2) + sqrt(5) + 0 + sqrt(5) + sqrt(5) + 4 + -1))**2.\nAnswer: -600*sqrt(5) + 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 3*q**2 - 27. Let n(k) = -250*k + 125*k + 122*k. What is n(z(c))?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 32630?\nAnswer: 97890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269728644.\nAnswer: 2, 3, 31, 725077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18449812861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63785 = -6*z - 63827 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 7, -501 in increasing order.\nAnswer: -501, -83, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359737702?\nAnswer: 2, 31, 5802221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931338569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3792 divided by -48.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00132795198 to 5 dps.\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1014*n**2 + 498*n**2 + 517*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2\/230777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5071714 is divided by 34038.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 59.409\nAnswer: 59.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -19. Which is the closest to q? (a) -2\/5 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2729406 and 41\/98994.\nAnswer: 19105842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k + 14*g - 16*g, -25 = -5*g. Suppose 0 = u + k*v - 79, 0*u = -5*u - 5*v + 345. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356599748 is divided by 2825?\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8568 by 12.\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let q(i) = -1619452*i**2 - 8*i. What is q(d(m))?\nAnswer: -1619452*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*u**3 + 8*u**2 - 204729*u + 16064348?\nAnswer: -15*u**2 + 16*u - 204729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5952 and 6576960?\nAnswer: 6576960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -424*a + 1281. Calculate c(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -2*z - 0, z - 22 = 3*b. Suppose -z*t + 5*t = -205. Let l = 59 - t. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -481102083 divided by -2849\nAnswer: 168867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000204515 to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/11 (b) 2 (c) 397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 72618, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0357 - 0.4643. What is the biggest value in -58, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 20*b + 10 = 0. Let v(y) = 3*y**2. Let z be v(-1). Suppose -z*m - o - 8 = -20, 12 = b*m - o. Solve -16 = 4*f, -f = -m*w + f + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*b + 17, 0 = -441*b + 440*b - 3*g - 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7234*h - 7212*h = -484 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7260469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 - 17*i**2 + 3*i + 4. Let a be q(7). Let p = a - 157. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i - 2*l - 24, 5*i - 54 = 2*l. Solve i = -2*s + 2*q, q - 4*q + 19 = -5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 1371 - 1397 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -m - 54, 28*m - 4622 = 2*x - 4576 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -9*h**4\/2 - h**3 - 3*h**2\/2 - 2*h - 7. Let c be p(-2). What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -2540690057534\nAnswer: 2540690057539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t + 250786790927 - 250786790927.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 5:47 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 980 divided by -2229\nAnswer: -980\/2229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 40772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let m(v) = -10221020*v**2. What is m(a(c))?\nAnswer: -10221020*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/461811 and 28\/3716479.\nAnswer: 78046059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let k = -3 - n. Let p = -229\/238 - -23\/34. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 70 = 112. Let j(p) = p**3 + 19*p**2 - 42*p + 5. Let s be j(n). Suppose -5*y + 5*q - s + 20 = 0, -3*y + 39 = 3*q. Solve 2*g - 4*g = y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33230749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-77) + (-7610)\/(-110). Let p = -66 + n. Solve -i - p = -t + 3, 0 = 4*i + t + 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 10*w**2 - 170*w - 14. Let a be c(19). Sort -8, a, -16 in increasing order.\nAnswer: -16, -8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 1 + 0 + sqrt(76)*-1*2)*1)**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3*s**7\/70 + 7*s**4\/6 - 15*s**2\/2 + 9. Let l(x) be the second derivative of q(x). Find the second derivative of l(b) wrt b.\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + -3 + -1*((3*sqrt(567) - sqrt(567)) + 0))**2*1.\nAnswer: 144*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 14133231.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1. Let n(s) = 2*s - 5. Let c(t) = n(t) + 2*y(t). Let f(l) = 3*l - 4. Give -7*c(o) + 5*f(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**4 - 2*s**3 + 3*s - 1. Let q(x) = x**4 + x. Let j(o) = -o**2 - 7*o + 11. Let a be j(-8). Let b = a - 6. Let p(l) = b*q(l) + 3*w(l). Factor p(z).\nAnswer: 3*(z - 1)**3*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as 661882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u + 17 - 61. Suppose -5*m + 1425 = u*v, 4*v = v + 4*m + 1061. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (2 - -5) - (-57 + 62). Solve -2*t - 11 = -i*n - 3*t, -t - 7 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*x - 2940 = -34*x + 82*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y + 25 = 0, -765 = -4*u + 3*y. Suppose -210 = -11*c - 3*c. Calculate the greatest common divisor of c and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404742368.\nAnswer: 2, 73, 173263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.7064 - -0.3936. Round c to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b**(-4)\/b)\/b*b)**(-21)*b*b\/b**(-2\/7)*b*b**(4\/7)\/b assuming b is positive.\nAnswer: b**(461\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*a**2 + 11*a + 48123.\nAnswer: 58*a + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -38. What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(48)\/(sqrt(8) + sqrt(80)\/sqrt(10)))\/(sqrt(192) + (sqrt(192) - sqrt(192)*-2)) + -1.\nAnswer: -1 + sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.2 - 5.8. Let q = -47.9999963 - p. What is q rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/57995 and 62\/3073735.\nAnswer: 3073735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trg when three letters picked without replacement from tgntirigrgirrigrr.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - v**2)*(15 - 15 + 2*v**2) + 5 + v**4 - 5 - v**4 + v**3 - 2*v**3 + 3*v**3.\nAnswer: -2*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28.072 or -0.245?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 12 - c**3 + 3*c**2 - 18*c - 5*c - 62 + 7*c + 27*c**2. Let g be y(27). Calculate the greatest common divisor of 31 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + b. Let x be u(2). Suppose y = 2*y + x. Let t(a) = a**3 + 6*a**2 + a + 8. Let c be t(y). Solve 16 = -6*k + c*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*h = -10. What is the common denominator of -7\/12 and 97\/(-2)*2*1\/h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2. Let i be b(1). Suppose 4*y + 5*t - 13 - 112 = 0, i*t - 95 = -3*y. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11587139 is divided by 2896763?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1760 = -5*c - 3*f, c - 5*c + 1408 = -3*f. Is 72 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 3*j = -1232. Suppose j = p + 51. Solve 4*c - p = 3*m + 5, 5*m - 2 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 33*p + 109. What is u(30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -235, -2313, -7895, -18733, -36579, -63185?\n\"Answer: -292*o**3 - 34*o + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 24*h - 10572. Determine n(-97).\nAnswer: 1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 11639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 10*l + 7. What is y(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -17420*k - 853570. Determine c(-49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - 8)\/(-18))\/(49\/(-14)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*o - 3343, 4*s - 2639 - 692 = -o. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 5. Let q be v(-3). Let r be 5*(3 + q - 2). Let a(x) be the first derivative of x**4\/4 + 2*x**3 + 3*x**2 + 5*x - 5. What is a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002111 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22010200020102 + 11?\nAnswer: 22010200020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33657 + -33653. Let y(p) be the second derivative of 0 + 1\/3*p**3 - 1\/84*p**l - 43*p - 7\/2*p**2. Factor y(c).\nAnswer: -(c - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029111277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.4 (c) -5 (d) 3\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -103*w - 79. Let s(h) = 2*h. Determine g(s(q)).\nAnswer: -206*q - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, 5*z = 4*k - 5368 - 716. Calculate the highest common factor of k and 585.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*f - 3031. Suppose 2*s = 5*s + f. Round s to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -6*x. Suppose -o + 656 = 3*d + o, x = -2*o + 8. Suppose -3*w + 36 = -d. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 4*v**2 - 27*v - 107. What is h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 35 + f**2 + 1\/168*f**7 - 5\/12*f**3 + 1\/96*f**6 - 25\/96*f**4 - 1\/16*f**5 + 0*f. Suppose s(m) = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 + 5 = 2*u, -4*m = -4*u - 8. Let c = 11 + u. Suppose -c*f + 18 = d, 2*f = 3*f - 3*d - 10. Sort -5, -11, f in descending order.\nAnswer: f, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11479159?\nAnswer: 463, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:26 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 1, 387981 in descending order.\nAnswer: 387981, 5, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:47 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 1\/137, 23.7, -0.4?\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 16 = 5*a, 3*a = -83*i + 80*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(-5 + 3*((sqrt(208)\/sqrt(4))\/sqrt(2))\/((sqrt(66)\/sqrt(3))\/sqrt(11))*4))**2.\nAnswer: -3000*sqrt(13) + 47425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -38932\/5, -0.1, 1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, q: 1, j: 2, y: 1, t: 1}. What is prob of picking 1 y and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*t + 4*i + 10, -4*t - 4*i + 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 955151 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 22*g**2 - g. Suppose -5*n + 1 = -4*n. List the prime factors of r(n).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-5)*(425\/2)\/(-5). What is the greatest common divisor of h and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92c (base 14) to base 15.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, -3916 in increasing order.\nAnswer: -3916, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12054897.\nAnswer: 3, 1339433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 77)\/(-9) + 12. Put d, 7, 0, 5 in ascending order.\nAnswer: 0, d, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 + 4. Let x(o) = 3*o + 55. Let g be x(-19). Let m be t(g). Differentiate 1740*k**2 + m - 38*k**3 - 1740*k**2 wrt k.\nAnswer: -114*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 121. Let c be t(-31). Solve 5*x = f - 3 + 10, 1 = -4*x + c*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.22382, -3 in ascending order.\nAnswer: -3, -0.22382, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12213*d**2 + 44591*d wrt d.\nAnswer: 24426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*((-2)\/(-27))\/(-1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414 + 95 = 134*o - 105*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21299063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 14*u**2 + 0*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + a + 73 = 0, 0*s - 5*a = 2*s - 9. Suppose 12*i - s*i = -495. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2 - 6*x - 7. Let b be k(-5). Let w = b - 161. Sort 2, 0, w in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 8. Let i be h(10). Let z = i - -47. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 3)*(77*k**3 - 20*k**3 + 39*k**3 + 40*k**3) in the form a*k**2 + j*k**3 + s + d*k and give j.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 8, 501?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -426c1c (base 13) in base 5?\nAnswer: -344320104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 711*i**4\/4 + 322*i**3\/3 + 3*i**2\/2 + 1471. Find the third derivative of a(d) wrt d.\nAnswer: 4266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1029207 + -9288118\/9. Let m = 2813 + t. Find the common denominator of m and -52\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1549*v**3 - 4*v + 18933 with respect to v.\nAnswer: -4647*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = q - k - 313, 4*q - 954 = -k. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g + 6582*g**5 - 8*g - 7033*g**5 + 5356*g**5 - 25*g**2 wrt g?\nAnswer: 294300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 16, -1, 1 in increasing order.\nAnswer: -10, -5, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -17\/28, 2\/7, 219, 71 in ascending order.\nAnswer: -17\/28, -2\/7, 2\/7, 71, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 233*c**2 - 7*c - 11. Let j(d) = -d**2 - 30*d + 93. Let n be j(-33). Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 484818\nAnswer: 11635632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(3*q**4 + 7*q - 7*q) + 188*q**4 + 146*q**4 + 7*q**4.\nAnswer: 347*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*-4*sqrt(136)*-1)\/(sqrt(8) + (sqrt(80)\/sqrt(2))\/sqrt(5) - (-5*sqrt(32) + sqrt(8))))**2 + 3.\nAnswer: 5259\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 30, -5*x = k + 6 + 20 - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*b**2 - 13*b**3 + 37*b**2 - 3*b - 20*b**2 + 2*b**3 + 3*b**3 - 2*b**3 + (-70*b**2 + 72*b - 72*b)*(-b - 2 + 2).\nAnswer: 60*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 120544 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8*(-4)\/(-6). Let h = 0.67 + -1.76. Let o = -0.91 + h. Which is bigger: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 404\/6 - 4\/(-6). Suppose -5*p = g + 7. Let k = 29 + p. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3803580737 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 14) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 4*i - 6. Let m be d(-8). Suppose -6*z = -4*z - m. Calculate the remainder when 50 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w + 4*w)*(-155 + 155 - 15423*w**2 + 11303*w**2).\nAnswer: -8240*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*n + 1 - 70*n + 90*n**2 - 72*n.\nAnswer: 90*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let l be (-3)\/((6\/(-4))\/q). Suppose 0 = l*o + 5 + 3. Put -1, o, 3 in descending order.\nAnswer: 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000323842 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/1134 - (1 + (-2980)\/135).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*l + 23 = 0, 8 = -2*j - 2*l + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1.9284148?\nAnswer: 0.38568296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -395*w**2 + 840*w - 100 = 0. Calculate w.\nAnswer: 10\/79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 11851.76 millilitres?\nAnswer: 11.85176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. What is the first derivative of o - 2*p + 0 + 0 wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 g when four letters picked without replacement from gnnggggnggg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3 + 1083*a**2\/2 - 1086*a - 5284. Let h(d) = 0. Calculate d.\nAnswer: -362, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 71 = 23. Let c(d) be the third derivative of -d**6\/120 + d**5\/4 + 2*d**4\/3 + d**3\/6 - 17*d**2 - 22. Let s be c(t). Which is smaller: -1\/8 or s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15432.44mm?\nAnswer: 15.43244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(99)*-5)**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 2*q + 14, 73*w - 35*w + 3*q - 57 = 33*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -162*a**2 - 279*a + 9. Determine m(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 336514 to the power of 1\/2, to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5567 - 413 = 2*g + 4*b, 3*g - 7732 = -5*b. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l - 4*l - 8*l**2 - l**3 + 10 + 3*l. Let a be z(-9). Are -7 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.19 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -23007\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -21403223?\nAnswer: -21403220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 766606 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 839\/(-1105) + -1 + 1. Let z = -27\/85 + m. Calculate the common denominator of z and 905\/60*2 - 4\/24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1441588392 to the nearest integer?\nAnswer: 37968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.004917 - 1047.86\nAnswer: -1047.855083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57205117*y**2 - 10*y - 8474722 wrt y?\nAnswer: -114410234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/18 - 202*g**3\/9 - 203*g**2\/3 - 968*g. Factor v(i).\nAnswer: 2*(i - 203)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 32*o**3 - 10*o**2 - 70*o + 304. Calculate v(4).\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**3 - 30*h**2 + 116*h - 100. What is m(3)?\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -3*v. Solve 0 = -2*w + 10, 0 = v*i + 3*i - w + 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.3 (b) 8 (c) -2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x - 4. Let p(t) = -35*t + 9. Let a(g) = -50*g + 13. Let s(z) = 5*a(z) - 7*p(z). Calculate 2*n(o) + 5*s(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 11:38 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-1 - 3) - -328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(128) + 5)*-4 + -2 + sqrt(4)\/((sqrt(2) - sqrt(32)) + sqrt(2)) + (sqrt(2) - (-5 + sqrt(2)*-1)).\nAnswer: -61*sqrt(2)\/2 - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 21 = 5*z, 7*z + 21 = -4*l + 4*z. Let y = 34 + l. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + 7\/8. Let d = 55 + -54. Let z = -0.1 - 0.1. Which is the third smallest value? (a) t (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 50482454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**3 + 10*m + 5. Let l(n) = 34 + 8*n**3 + 10*n + 36 - 13*n**3 + 33 - 97. Give 5*l(c) - 6*u(c).\nAnswer: -c**3 - 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.2, -4, -5, -5\/6, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 192 - 191. Let m(a) = -9 - 1 + 4*a**2 + q + 11. Let l(i) = -i. Determine m(l(y)).\nAnswer: 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 97626 and 97623 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 6 = c, -39*k = 3*c - 36*k + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f**3 - 7*f**2 + 16*f + 24. What is the units digit of r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91169.91 micrograms?\nAnswer: 0.09116991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(114) - 3*sqrt(114))*3*5)\/((sqrt(150) + -3*sqrt(150))*-3*-3))**2.\nAnswer: 304\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-31142)\/(-8) - -2) + 0. Let l be ((-1938)\/(-1))\/(1\/(-2)). Let f = j + l. Calculate the common denominator of -21\/10 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -36*s + 39*s - h, -s - 5*h = -5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175867 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25992162*l**2 - 55467*l - 159 wrt l?\nAnswer: 51984324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 3\/(-2))*166\/83. Solve 29 = -7*j + x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*l - 5514, r = -0*l + 5*l - 6903. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-6)\/(-1773))*(-42)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-21)*-1*(-72)\/(-96))\/((-1)\/(-82))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -542 and 107.912?\nAnswer: 649.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 3:43 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 46 - 3*y**3 + 1015.\nAnswer: -3*y**3 + 1138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/4 + 5112*d**2 + 26060829*d - 733716508.\nAnswer: (d - 28)*(d + 10238)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 8c4?\nAnswer: -8b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + -4 + (11 - 25) + -20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1315 (base 6) to base 8\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(31*c - 60*c + 24*c) + (-4 + 1 + 4)*(3*c - 3*c + c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302874006 to the nearest integer?\nAnswer: 17403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1491854*s + 1491838*s = 204, -x + 67 = -5*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q + 3712*q**4 + 1368 - 132 - 3*q + 849 wrt q.\nAnswer: 44544*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182422 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 2 - 1156\/(-108). Let k = 73601\/6291 - a. Let m = k - -939\/1631. What is the common denominator of 115\/6 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 0.6, 1\/5, 14 in decreasing order.\nAnswer: 14, 0.6, 1\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 29. Determine p(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2. Let d(c) = 312*c**2. Determine d(f(a)).\nAnswer: 312*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -0.3. Suppose 0 = 2*j + 2*j - 24. Suppose -2 = -2*t - j. Sort -0.1, d, t in ascending order.\nAnswer: t, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19061 + 19079. Calculate the highest common factor of 5094 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.98 - -12. Let t = a + 2.98. What is the third smallest value in t, -4\/7, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*2 + 4)**2.\nAnswer: 144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a3 - 64326?\nAnswer: -64073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11352918 to the nearest integer?\nAnswer: 3369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25287 + 25286.23862. Let n = t + 2.5621. Let r = -1.8 + n. Round r to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 772 (b) 1\/164 (c) 11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycooyocyoooyccy. Give prob of sequence yo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 8*m + 10. Let o(c) = -c - 1. Let n(i) = 6*o(i) + w(i). Suppose -20*q + 1 = -21*q. Let f(d) = -4 + 2 - d + 1. Give q*n(g) - 4*f(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*x - 143*x + 1337*x.\nAnswer: 1009*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/13 + 8*p**4\/13 - 32*p**2\/13 + 32*p\/13 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + x - 4. Let u(h) = -5*h**2 + 3*h - 9. Let p = -8 + 13. Let j(l) = p*f(l) - 3*u(l). Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-10 + 5 + 3)*(-47 - 34 - 36)*(-x + x - 3*x).\nAnswer: -1404*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 6*n - 6. Calculate u(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k\/(((k\/(k\/(k\/(k*k**(-2\/13)\/k*k))))\/k)\/k))\/k*k*k)\/k)*k**(-3))\/((k**(6\/13)*k)\/k*k\/(k\/k**(-11\/3)*k)) assuming k is positive.\nAnswer: k**(-25\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -754468, -754465, -754462, -754459, -754456, -754453?\nAnswer: -754450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2370767 times 8?\nAnswer: 1.8966136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8*j = 0. Let r = -1313\/99 + 146\/11. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100011010010011000 (base 2) to base 8\nAnswer: 432230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) 167621 (c) -1 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r. Let s be w(1). Let l(m) = m**3 + 4*m**2 + 4*m + 3. Let v be l(s). Suppose 0 = -5*y - 4*o + 4, 4*y - v*o + 3 = 31. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -175. Let w = 59 - t. What is the closest to -1\/3 in -5, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 7. Let h = 45 + g. Let f be ((-6)\/5)\/(h\/(-10)). Solve -4*o + 21 = l, -l + 10 = o + f*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21905433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:35 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 6 + 0*z + 15. Is o(26) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let i = -28 + 30. Let k(x) = -x - 14. Let t(y) be the second derivative of -y**2 - 38*y. Let v(b) = i*k(b) - 14*t(b). Calculate w(v(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -246 - 2?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -150*o - 2865*o**2 + 17 + 13 - 30 + 2862*o**2 in the form v*o**2 + b + u*o and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**3\/3 + 3*g. Let l(q) = 2*q**2 + 15*q. Calculate l(m(b)).\nAnswer: 8*b**2 + 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*x - 254*x = -750*x + 249*x + 76 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*l - 15*l + 225002 + 198166. Is 32 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 4, -20, -64, -134, -236, -376, -560?\n\"Answer: -z**3 - z**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0554826 nanoseconds in microseconds?\nAnswer: 0.0000554826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-18))\/((-16)\/3720). Suppose 0 = 5*o - 2*i - n, 5*o - 4*i - 105 = 40. Let m = -9 - -16. What is the remainder when o is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -26. Let r be (-4)\/4*-168 - 3. What is the highest common divisor of g and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6. Let y(x) = 5*x + 30. Let u(k) = 5*o(k) + y(k). Let g(b) = b**2 - 30. Calculate u(g(d)).\nAnswer: 5*d**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - 4*m)*(2*m - 264 + 0*m + 287).\nAnswer: -2*m**2 - 23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 - -0.15. Let z = y - 0.67. Put z, -1\/3, 5 in decreasing order.\nAnswer: 5, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -4. Let s(q) = -4*q + 11. Let v(u) = 8*u - 21. Let t(m) = c*s(m) - 3*v(m). Find the first derivative of t(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3323 + 40*i + 1667 + 1659 + (-1 + i + 1)*(0 - 1 + 0).\nAnswer: 39*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 37. What is h(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 9, -6\/23, 0, -162?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 18. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005729 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*k = 305, -k - 535 = -4*b + 4*k. Let p = b + -138. Solve 3*d = -3*i + 3, d - 6*i - 1 = -p*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1269 = s - 2*o + o, -4*s - 5*o + 5058 = 0. Let i be s\/(-4) - 8\/32. Let m = -2543\/8 - i. Find the common denominator of -67\/4 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1666 - -11664\/7. What is the nearest to b in -3\/2, 2\/7, 1\/35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 127197.\nAnswer: 508788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.07 and 0.3.\nAnswer: 4.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 1)*(-5*d + 5*d + 2*d**4) + (-1 + 1 + 2*d**2)*(-2*d - 3*d**2 + 2*d) + (0 + 1 - 3)*(2*d - 2*d**4 - 2*d) + 55*d**3 - 55*d**3 + 4*d**4.\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*s + 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 6. Suppose 3*t - 2*t - 13 = 0. Suppose 2*j - 3*f = -t, -2*j - 11 = -4*f + 3*f. Does 11 divide l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Let t = -0.11 + 0.05. Let a = t + -0.04. What is the second smallest value in -0.4, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*b**3\/4 + 4999137*b**2\/4 - 384552*b + 29581 = 0 for b.\nAnswer: -29581, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1651*g - 6591. Let d be b(-4). Let f be 54\/(-1)*-1 - 2. Suppose v - f = -3*v. Is d at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/5 - 549\/65. Let z = -18 - -18.2. What is the nearest to z in u, 0, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 330 + -243?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04622 - 9286902.\nAnswer: -9286901.95378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 29. Let f = 17 + p. List the prime factors of 168\/6*f\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t + 3. Let n be l(0). Is n > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*f**2 - 56*f**2 + 149*f**2 + 17*f - 30*f**2 - 17*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*f**2*m*p**3 - 117385*f**2*p**3 - 321*f*m*p**3 + 2*f*p**3 + 3*f*p**2 + 2*f - 71*m*p wrt f?\nAnswer: -236*m*p**3 - 234770*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 313. Let y be r(0). Let f = y + -157. Suppose 2*c - f = -2*c. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + -2 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311236 is divided by 155614.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.2 - 34. Let q = y - -8. What is the closest to -0.2 in q, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/24*(-27)\/(-2). Suppose 0 = 20*x - 83 - 20 + 3. Sort x, r, 4.\nAnswer: r, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68222 by -443.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 268271777*i + 322994203 wrt i.\nAnswer: 268271777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1994882 by -2.\nAnswer: -997441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(3\/5)))**(-2\/13) assuming f is positive.\nAnswer: f**(4\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*c - 385*c - 336*c - 8504 = -254*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in -2, -1, 0.04, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24409768, -24409769, -24409770, -24409771?\nAnswer: -24409772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3285153 or 3285140?\nAnswer: 3285153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29009 - 16531. List the prime factors of l.\nAnswer: 2, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -4*q**8\/21 - 11*q**5\/30 + 57*q**2. What is the third derivative of n(s) wrt s?\nAnswer: -3840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184 - -153. Which is smaller: -30 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 25.8. Let s be (-6732)\/17136 - (-1)\/4. What is the fourth biggest value in 38\/3, b, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225211 - -39.8190268.\nAnswer: -225171.1809732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k + 10 = 0. Let d = 4820 + -4804. Calculate the remainder when d is divided by (-15 + 0)*2\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 3 - (1 + -3). Solve -3 = m - c*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 431, 913, 1575, 2417, 3439?\nAnswer: 4641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.174 - 0.11. Let j = -0.264 + k. Which is the closest to j? (a) -0.2 (b) -6\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 5, -0.06, 6\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 87*m**2 - 1311*m + 7. Give z(-13).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 2:09 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v**4 + 296*v**3 - 5344*v**2 - 131560*v + 44436 = 0.\nAnswer: -23, 1\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 2. Let h be (-16 - (-3 - 16))*1. Which is the fourth smallest value? (a) i (b) h (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 12097*a\/3 - 24190\/3.\nAnswer: -(a + 2)*(a + 12095)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/5*-3)\/(-7 + 6). Factor -3\/4*g**5 + 0 + 0*g**3 + 0*g**2 + 0*g + l*g**4.\nAnswer: -3*g**4*(g - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 0*g + 1740 = 0. Let z(n) = 2*n**2 + 11*n + 2. What is the least common multiple of g and z(-8)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2. Let v(k) = 10 + k + k + 17 - 5. Determine v(o(r)).\nAnswer: 4*r**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/6 + -1 + (1 - -34). Differentiate g*o**2 + 22*o**2 - 500 + 12*o**2 + 443 wrt o.\nAnswer: 134*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -9 + (-15)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2250 - 2775 = -15*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152861?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/8*-4*0. Suppose -3*k + 12 = k. Let r(f) = f**2 + 4*f - 5. Let x be r(-4). Put z, k, x in descending order.\nAnswer: k, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 + 4434*v + 4436 = 0. What is v?\nAnswer: -1, 2218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/25*2)\/(14\/10).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35564.53 take away -5726193.1?\nAnswer: 5690628.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, 4, 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/22717?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3308.9 - 3308.90030875. Round j to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000132693375 to seven decimal places.\nAnswer: 0.0001327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 39*p + 492 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(28)*2)*1)**2.\nAnswer: -32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -145*r + 14823. Is m(-9) a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-63 - 2)\/(-1 - 0). Let w = -30 + 64. Let l = p - w. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1121131331?\nAnswer: -1121131330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, q: 2, a: 4, i: 2, c: 2}. Give prob of picking 1 i, 2 c, and 1 q.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 142 + 402 = 0. Calculate the highest common divisor of w and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 4*r**2 - r - 4. Let c be x(-4). Let h be ((-10)\/70)\/(c - 1). Suppose -1\/7*m**2 - 2\/7*m + 0 + h*m**3 = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*n**2 + 39*n + 3.\nAnswer: -3*(n - 1)*(14*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050682464 to 7 dps.\nAnswer: -0.0005068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.6 + -97.4. Let n = -116 - v. Which is the nearest to -1\/2? (a) -0.1 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0*h**2 + 0*h**4 - 1\/6*h**7 - 5\/6*h**3 + 0*h**5 + 0*h**6 - 5*h + 0. Find the second derivative of u(l) wrt l.\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d. Let j(v) = v**3 - v + 5. Let x be j(d). Let n = 17 + -12. Solve -1 - x = o - 3*l, -2 = -o - n*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883155.\nAnswer: 5, 11, 19, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -133d3 (base 15) in base 8?\nAnswer: -170267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nndodnd. What is prob of sequence ndn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.09 - 18. Let z = -5.09 + f. Let p = -0.195 - -0.195. What is the closest to p in z, -4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 758 - 2297 = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-36 + 61 + -47 + 56)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -4 - (6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 728 + 147. Let b(y) = -56*y - 63*y - 59*y + 15 + x*y. What is b(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.1251cm to kilometers.\nAnswer: 0.000941251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**3\/6 + z. Let r(x) = -4*x + 4. Let y(t) = -31*t + 32. Let q(w) = 40*r(w) - 5*y(w). Calculate i(q(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*l + 6*l**3 + 13*l**3 + 533*l - 2 + 2.\nAnswer: 19*l**3 + 804*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70850 - 779318\/11. Solve z*q - 14\/11*q**4 - 30\/11*q**3 - 10\/11*q**2 - 2\/11*q**5 + 24\/11 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16053, -17349, -20745, -27291, -38037, -54033, -76329?\n\"Answer: -175*g**3 - 71*g - 15807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 276246, 6 in increasing order.\nAnswer: 6, 27, 276246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 7. Let q be d(-5). Let c be q\/((-6)\/9) - 1. List the prime factors of c\/6 + (-114)\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z - 137*z - 175*z.\nAnswer: -345*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 6) + -2 + 4 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -4 - (-47 - -40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*-3 + (sqrt(68)*4)**2.\nAnswer: -3*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(26)\/sqrt(2))**2 + sqrt(832)*2 + sqrt(832).\nAnswer: 38 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1251 - -3585. Let k = 948 - q. Calculate the common denominator of 459\/k - (-2)\/7 and 31\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 28 + -21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, u: 1, c: 10, o: 4}. Give prob of sequence cc.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.5 + -7. Which is the nearest to -2\/3? (a) 5 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 261. Let k(p) = 209. Let i(a) = -5*k(a) + 4*t(a). Let o = 3 + -8. Let l(z) = z**2 + z - 4. What is o*i(f) + l(f)?\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -263, -779, -1545?\nAnswer: -2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1000)*1 - 1*(sqrt(1000) + sqrt(1000)*-1 + sqrt(1000)))\/((4*(sqrt(8) - sqrt(72)) + sqrt(8))*-2*5))**2*-1.\nAnswer: -45\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d + 13. Let y(s) = s - 2. Let w(g) = 6*f(g) + 39*y(g). Let q(l) = -4*l**2 + l. Determine q(w(u)).\nAnswer: -36*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -73. Solve r - 2*r - 1 = o, u = 5*o - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -32. Suppose b = -b + v. Calculate the highest common divisor of 33 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/89 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (9 - (-6 - -27))) + 10\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1125 - 561 + 37*j + 94*j**2 - 564 - 90*j**2.\nAnswer: 4*j**2 + 37*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**8\/60480 - j**7\/3780 + j**6\/540 + j**5\/20 + j**2. Let n(z) be the third derivative of r(z). Find l such that n(l) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 2:53 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4480*q + 4480*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n - 18\/5*n**5 + 3*n**2 - 14 + 3\/8*n**4 - 5\/4*n**6 + 6*n**3. Determine j, given that s(j) = 0.\nAnswer: -2, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 62959?\nAnswer: 251836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*s - 273 = -1271 - 206 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = b + 24, 4*k - 3*k - 6 = -b. Differentiate -18*j**2 + 28*j**2 + 33 + 34 + 2*j - k*j**2 with respect to j.\nAnswer: 8*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 25*f - 224 = 0. What is the greatest common divisor of 84 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 3438 = 3039. Let m = -7 + f. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 276*l**3 + 10*l**2 + 4*l - 10. Let d(t) = -184*t**3 - 7*t**2 - 3*t + 7. Let m(f) = -7*d(f) - 5*o(f). Suppose -3 = 5*c + 2. Is m(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*(-2)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/40)\/((-9)\/4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w + 46 - 313 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.79, -3\/8, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 5:34 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azss when four letters picked without replacement from {s: 5, a: 7, z: 4}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c2 + -12?\nAnswer: -2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 + 1138318362*z = 0. What is z?\nAnswer: -379439454, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**7\/14 + 3*o**6\/5 - 9*o**5\/5 + 2*o**4 - o + 6. Determine y, given that c(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4870.861nm?\nAnswer: 0.004870861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {i: 13, z: 5, q: 2}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 976, -1, 11, 2, -8 in ascending order.\nAnswer: -8, -1, 2, 11, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 34, -17, 5 in decreasing order.\nAnswer: 34, 5, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 130*d**2 + 2 - 2*d**3 - 147*d**2 + 0*d + 2*d**3 + 0*d + (2*d**3 - 2*d + 2*d)*(0 + 0 + 1) - 2*d - d**3 + 2*d)*(1 - 1 - d).\nAnswer: -2*d**4 + 17*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 53*c**2 + 2*c + 422. Give s(-53).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 12 - 7)*(8*r**2 - 47*r + 4*r**2 + 53*r - 1).\nAnswer: 132*r**2 + 66*r - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 23*i + 2. Let g be q(-1). Suppose -2*d - 9 = -3. What is the units digit of d\/7 - 51\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.4 - 19.4. Is v <= 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000219717 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.51 + 0.21. Let p = 1354.44 - 1360. Let s = p - j. What is s rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2113 = 3*l + 2128, 2*m - 4*l - 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 6. Suppose -5 + q = -2*l. Let h be (l\/2)\/(4\/10). Sort 1\/2, 3, h in increasing order.\nAnswer: 1\/2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4*j)\/((j*(j\/j**(2\/11))\/j)\/j))\/(j*j*j*j**(-38))**38 assuming j is positive.\nAnswer: j**(14687\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 383 - 394. Let t = 219.5 - 220. Which is the smallest value? (a) t (b) -4 (c) -5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 3*o**2 + 0*o**2 + 3*o - 3*o + 2*o**2 + (1 + 1 - 1)*(3*o**2 - 4*o**2 + 3*o**2))*(-o - 5*o - 7*o).\nAnswer: -26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1+22019798\nAnswer: 22019799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 13*s + 8. Let k(y) = -y**3 + 8*y**2 - 7*y - 14. Let j be k(7). Let l be d(j). Let n(r) = -r**3 - 4*r**2 + 8*r + 6. Does 10 divide n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105300428 to the nearest 10000.\nAnswer: 105300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5601 + 5600.9992857. What is d rounded to five dps?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 256\/(-96)*9\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 27*q**5\/5 - 303*q**4\/4 + 256*q**3 - 294*q**2 + 96*q - 253. Determine m so that p(m) = 0.\nAnswer: 2\/9, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.3. Let h = -0.5 + 0.5. Which is smaller: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2726*k + 1350 with respect to k.\nAnswer: -2726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21126 + 4111?\nAnswer: 25237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631115?\nAnswer: 5, 126223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101169?\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009493905165 rounded to 7 decimal places?\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t, w + t + t = 0. Let u(a) = 80*a + 4 - 39*a - 44*a. Give u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 4*z - 7. Let s be j(6). Suppose s - 20 = -5*p. Suppose -v + 4 = p*v. Solve 2*k - 2*o - v = 1, 1 = 2*k - o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*r + 35. Let v = -78\/5 + r. Are v and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92598 and 316434?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011001001010011 (base 2) in base 8?\nAnswer: -1231123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1089 and 3267?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 2.5. Let i = -7 + j. Let x = i - -5.000043. Round x to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -70 (b) -2\/11 (c) 0 (d) -1 (e) -4\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 32*r**2 + 11*r - 1. Let m(u) = u**3 + 14*u**2 + 5*u - 1. What is 13*m(c) - 6*o(c)?\nAnswer: c**3 - 10*c**2 - c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/3 + 200*k + 1192\/3.\nAnswer: 2*(k + 2)*(k + 298)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7424\/2320 - 16\/5. Let w be 3\/12*3\/2. Sort -5, g, w in decreasing order.\nAnswer: w, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -484*t**2 + 189*t**2 - 354*t**2 + t**2 - 3*t + 3*t + (3*t + t - 3*t)*(t - 2 + 2) + 2 - t**2 - 2 + (2*t + t - 6*t)*(-5 + t + 5).\nAnswer: -651*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39787887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12963194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3460 is divided by 275?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b = -51*b - 114752. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18510*j**3*y + 60*j**2 - 94*y wrt j?\nAnswer: 111060*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3300*d = 3283*d + 221 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**2 + 2*r + 2. Let s be x(-4). Let p = s + -26. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2. Let v(h) = 64*h**2 + 58*h**2 - 4*h + 60*h**2 - 198*h**2 + 5*h. Give z(v(m)).\nAnswer: -768*m**4 + 96*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c. Let g(n) be the first derivative of -n**6\/360 - 2*n**3\/3 + 3. Let o(z) be the third derivative of g(z). What is s(o(w))?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295006 divided by 4.\nAnswer: 147503\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5954100 divided by -5575.\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -4, 0 in decreasing order.\nAnswer: 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*n + 42 = -4*o + 71*n, -o - 9 = -2*n. Put -1, o, 26, 4, -3 in descending order.\nAnswer: 26, 4, -1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -57\/2. Let f = -5 - 0. Sort 0.06, f, y.\nAnswer: f, 0.06, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9 + c**2 + 9*c + 2*c**2 - 4*c**2. List the prime factors of w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/15 - 2)*(-306)\/(-1496). What is the nearest to 0 in -1, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 220*w. Let n(a) = 297*a - 2. Determine n(b(r)).\nAnswer: 65340*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**0\/w)\/w)\/((w*w\/(w\/w**(-15)*w*w))\/w*w*w))\/(w**(-1))**(-29) assuming w is positive.\nAnswer: w**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 217624, 415 in descending order.\nAnswer: 217624, 415, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 65. Suppose -b + 10 = m, 2*b + 2 = -m + 10. Let c be f(m). Solve 0 = -s + c*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -715, -1207, -1697, -2185, -2671, -3155?\nAnswer: -3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 + 3*h - 2 + 0*h - 3*h**3 + 6*h**2 + 4. What is the remainder when 39 is divided by z(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8473.87 + -957?\nAnswer: -9430.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + s**2 - 21*s + 9. Calculate y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14283\/7452 - 5\/3. What is the second smallest value in -0.13, -2\/5, 6, h?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k**2*o - 16*k**2 - 2 with respect to o.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 53. Let x = 1 + -1. Suppose -142*c + 512*c - 129*c - 3374 = 0. Calculate the remainder when y(x) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 12:09 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2201001120?\nAnswer: 2201001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*w - 14, -5*w - 4*h = -3*w + 18. Suppose -1 - w = 2*z. Let f(a) = a**3 - 3*a**2 - 5*a + 3. Let s be f(4). Is z at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**4 + 3354*r**3 - 373*r**2 - 2322743*r?\nAnswer: -12*r**2 + 20124*r - 746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-36)*(-696)\/435.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*g - 17, -2*g = g + 15. Suppose -p = -0*l + l. Let t be 10\/(-6) + l\/9. Is -2 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Let b(i) = -10*i + 11. Let k(d) = -2*b(d) + 22*o(d). Let y(h) be the first derivative of -h**2 + 1. Calculate y(k(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 22*z. Let l(i) = -3*i - 6. Calculate l(r(j)).\nAnswer: -66*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/3 - 262*b**3\/3 - 518*b**2\/3 - 86*b.\nAnswer: -2*b*(b + 1)**2*(b + 129)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 4217 - 12*a**2 - 2*a - 19*a**2 + 2*a**3.\nAnswer: 2*a**3 - 31*a**2 - 2*a + 4217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*k - 3*k. Suppose 0 = -u - 2*u - k. Let g(p) = 2*p + 5. Give g(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 803*k + 4 - 1668*k + 1308*k to the form l + y*k and give y.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**2. Let v(g) = -59*g**2. Give v(t(s)).\nAnswer: -3776*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 4*u - 2*u)*(-2 + 1 - 1) + 3*u - u - u + 2*u - 2 + 2 + 0*u - 2*u + 4*u + 0*u - 2*u - u to k*u + f and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/53 - -37\/212. Let r(k) be the second derivative of 0*k**3 + 4*k + 3\/20*k**5 + 0*k**2 + x*k**4 + 0. Factor r(f).\nAnswer: 3*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Let z be (-2)\/(((-6)\/(-255))\/h). What is the greatest common divisor of z and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9082 or 9150?\nAnswer: 9150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w - 6. Let s be m(4). Let y be (5\/(-10))\/((-2)\/20). Suppose -2*c = -5*g - y*c + s, 0 = -4*g + 5*c + 24. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(7) + sqrt(7))**2 + 5) + (sqrt(7) - (-1 + sqrt(7)))*2 + 0.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -1, -72 in ascending order.\nAnswer: -72, -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 10 = -4*r + 2*u, 4*u + 16 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o + 2*o**3 + 147*o**2 - 3*o - 145*o**2.\nAnswer: 2*o*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (6 - 10 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -da307 - d?\nAnswer: -da315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 50. Suppose -119 = -5*g + 3*r + 666, -l*r = 0. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*p - 12 + 8, -2*u - 2*p + 8 = 0. Suppose 4*i - n - 9 - 6 = 0, 2*i + 10 = u*n. Solve -i*z + 25 = 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.275*1.42\nAnswer: 1.8105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -165 (b) 3\/2 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -254, 2, -29, 55, 3 in ascending order.\nAnswer: -254, -29, 2, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443107 = -62*d + 57*d + 65028. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/1265455 or 1?\nAnswer: 14\/1265455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/14 - 24\/(-14))\/(-2). What is the remainder when 67 is divided by (-4 + 3 + 4)*(x + 7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101010101110010001101 (base 2) in base 16?\nAnswer: -b55c8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -115*m - 813. Determine r(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**2 + 519626281*z + 212090848 with respect to z.\nAnswer: -4*z + 519626281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 10*d - 160. Calculate the smallest common multiple of 8 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.76 - -0.26. Let c = 3.96 - -0.04. Put r, c, 2\/3 in descending order.\nAnswer: c, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -372241.84915 less than 6?\nAnswer: 372247.84915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19522\/(-23608) + 6\/78?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -79\/3. Let a be 18\/(-1) + (-1207)\/(-68). What is the nearest to a in 0.4, s, 14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1819\/3 - 614. Suppose 585 - 135 = -6*v. What is the common denominator of g and 335\/v*-1 - (-2)\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4*((sqrt(125)*-2 + 5 - sqrt(125)) + sqrt(125) - ((((sqrt(125)*2 + -4 + sqrt(125) - sqrt(125)) + sqrt(125))**2 - sqrt(125)) + sqrt(125))).\nAnswer: -4547 + 440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25221 (base 7) to base 11.\nAnswer: 4a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccicccicicc. What is prob of picking 3 c?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 96*o - 217752 = -52*o. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 2 a when four letters picked without replacement from {r: 2, z: 1, a: 4, l: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 590 = -y - 5*j, 0 = -y - 3*j + 122. Calculate the remainder when y is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -22, -61, -126, -223, -358, -537?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 14*t**2 - 3*t - 13. Let l(d) = -21*d**2 + d**3 + 4*d**3 - 19 - 5*d - 2*d**3. Let s(o) = -5*l(o) + 8*z(o). Calculate s(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*a = -138, -4*a = 3*r - 84 - 27. Solve -r*h = -20*h - 39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 236 = p - 1775, -4*w + 2032 = p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592656 a multiple of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3192146 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -2\/5 (b) 0 (c) 0.03 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-seven halves of a day?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9939?\nAnswer: 3, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 9 - 6 - (-1 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003883677303 to 5 decimal places.\nAnswer: -0.00388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2720 and 80189.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1950, 1914, 1856, 1776, 1674?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 8*y - 13. Determine x(9).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 11*k**2 - 15*k - 11. What are the prime factors of v(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1001853, 1001856, 1001859, 1001862, 1001865?\n\"Answer: 3*c + 1001850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 104\/30 + (-13034)\/4655\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -120 + 860 - 226*a - 244*a - 22 + 202 + 5*a**2 = 0?\nAnswer: 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 - (-68 + (15 - -6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 330 (base 4) to base 2\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18763, -18764, -18765?\n\"Answer: -h - 18762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/13 and 95\/5902?\nAnswer: 5902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84 in -11073.5, 0.5, -4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 4*g + 3. Let n = 5 + 0. Suppose n*s + 1 = -9. What is the units digit of x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -2) + -4 + (-4 - (3 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -612 + 178?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62309363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1252354 (base 6) to base 11.\nAnswer: 48046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 3 - 386099*v.\nAnswer: -386099*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.005 - 20.005. Let d = -108 + s. Let r = d - -129.17. What is r rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540805 - 342726. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 5, -3*g = -4*i + 2 - 37 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 4)*(2*f + f - 2*f) + f + 0*f + f + 3 - 2*f - 3 - 1 + 4*f + 1 + (-8*f + 0*f + f)*(-2 - 2 + 3) + 3*f - 6*f + 4*f to a + w*f and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:11 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -40.908. Let s = g + -0.052. What is s rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**3 + 16*c**2 - 6. Let y(w) be the first derivative of 3*w**4\/2 + 5*w**3 - 5*w - 3. Let a = -43230 - -43236. Calculate a*y(d) - 5*s(d).\nAnswer: d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -26546.6 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2. Let b = 12 - 10. Suppose p - 3 = -1. Let c(y) = 4*y**p - 3*y**2 - 4*y**b. Determine d(c(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqewveqveqvvzqwqvv. What is prob of sequence wv?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -d936b1 (base 14) to base 6\nAnswer: -421245551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1 + 1 + 3. Let c(h) = -h**2 + 20 - 37 - 2*h + 18. Let g be c(-2). Solve s + g = -k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002283 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**7\/280 + x**6\/72 - x**5\/60 - 4*x**3\/3 - 2*x**2. Let g(t) be the first derivative of f(t). Factor g(d).\nAnswer: -d*(d - 1)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22697.67l in millilitres?\nAnswer: 22697670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*t*y**2 + g**2*t*y - 18*g**2*y**2 + 2*g*t*y + 2*g*t - 3*t*y**2 - 38*t + y**2 wrt g?\nAnswer: 6*t*y**2 + 2*t*y - 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-38)\/168*3 - (-3)\/(-4). Is -2 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 - 3*x + 3. Let f be h(1). Let a(g) = 3*g**2 + 5. Let k(q) = q**2 - q - 1. Let v(w) = a(w) - 2*k(w). List the prime factors of v(f).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2115)\/(-18))\/((-6)\/(-60))?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in years?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14418 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 28. Let t = -32 + 46. Let v be c(t). Solve v*g + 2*g - 6 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-6))\/((-70)\/63))\/(741\/(-65))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 228 + 3*f**2 - 225 - f**2 in the form n*f + s*f**2 + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c + 34*c + 22 = 0. Solve -y + 7 = -c*s, 2*y - s - 12 = s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1\/30))\/w*w*w*w*w)\/(w\/w**(-3\/11)))\/((w**12*w)\/w*w*w*w**(1\/2)) assuming w is positive.\nAnswer: w**(-1948\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 4*q**2 + 6*q + 7. Let d be r(-5). What is the first derivative of 2*m**3 + 2*m**3 - 3 - d*m**3 wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 21*u + 65842. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827262128 to the nearest integer?\nAnswer: 28762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*g - 15 = 124, -j - 3*g = -55. What is the greatest common divisor of j and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*t + 6 + 5, -2*k - 13 = 5*t. Let o = 63 - 62. What is the nearest to o in -5, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7803131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 3\/3 - 0. Suppose -2*s + p*s - 18 = 0. Suppose -4*j + 131 = y, s*j - 3*y = 10*j - 129. Calculate the remainder when 195 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o + 104 - 20 = 0. Let m(w) = 11*w**2 - 3*w. Let s(d) = 14*d**2 - 2*d. Let p(u) = o*m(u) - 3*s(u). Let f(n) = n. Give f(p(t)).\nAnswer: 2*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/(9\/12). Does 9 divide 1*12 + -4 + c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -24*i + 5*i. Let r be ((-5)\/2)\/((-5)\/i). Suppose 0 = -3*y + 2*y + 3. What is the closest to r in -3, y, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (60\/1)\/(-15) + 5104?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -4.121.\nAnswer: 0.4121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 6*w + 19. What is the units digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 - 101. Suppose 4*b - 52 = x. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13353 - -26352. Suppose -o = 8*l - 23*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.06225 microseconds to nanoseconds.\nAnswer: 74062.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.05 (b) -4 (c) 0.3 (d) -2 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4265020, -4264993, -4264966?\nAnswer: -4264939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128577 is divided by 5356.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*b + 45 = 0, 5*s + 4*b = -0*b + 54. Let q = s - 5. Suppose 5*f - 117 = 2*f - w, -w + 37 = f. Calculate the highest common factor of f and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10 + 2*y**2 + 3*y - y**2 + 4*y. Let d be m(-7). Let j be d\/2 - (5 - 4). Solve -j*x + 5*x - 4 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 - 2*x + 4. Let n be r(2). Suppose 3*q + 4*k + n = 0, -3*q - 2*q = -2*k - 6. Solve -8 = 4*y - q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32301320, 64602635, 96903948, 129205259, 161506568, 193807875?\nAnswer: 226109180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -14*q**2 - 4*q. Let t(n) = 106*n - 34*n - 45*n + 99*n**2. Let v(s) = -4*t(s) - 27*y(s). Let f(m) = -6*m**2. What is f(v(z))?\nAnswer: -1944*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Suppose 8*g = -7*g + 30. Let q(p) = -1 + p - 3*p - g*p - 3*p. What is q(t(d))?\nAnswer: -7*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-5))\/(180\/150).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 17 (c) -0.04 (d) -0.2 (e) 53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*k**3*x**2 - 2329899*k**2*p*x - 382828*p*x**2 + 93*p wrt k.\nAnswer: -54*k**2*x**2 - 4659798*k*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.22 (b) -4 (c) 2\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 413*n**3\/3 - 646*n - 732. Differentiate g(u) wrt u.\nAnswer: 826*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*t = 576*t + 931091. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1078716*g**3 - g**2 - g + 16976096 wrt g?\nAnswer: 3236148*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 387534 = -121044. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8581041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.3, 1\/3, -3, -32?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4428 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p - 17. Let v be l(7). Calculate the common denominator of 107\/38 and 3\/4*(-24)\/v.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 1)*(-p + p - 2*p)*(-3*p + 2*p**2 + 3*p + (p**2 + 0*p**2 + p**2)*(2 + 3 - 4)) to o*p**3 + u*p + i + g*p**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnvnnnonivtnvmmminn. What is prob of picking 1 m and 2 n?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 13. Let p = 0.04159 + 4.98041. Let q = v + p. What is q rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 139*t**2 - 69*t - 38. Calculate y(69).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -1, 2\/13, 0.3, 58, -1579 in descending order.\nAnswer: 58, 0.3, 2\/13, -1, -40, -1579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 + y**2 + 5*y + 3. Determine s(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*j + 26, 5*j + 5*n - 1 = 4. Suppose 0 = j*t + t - 10. Let f = -15 - -27. Solve t = 2*y + f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccli when four letters picked without replacement from cclciiil?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5608, -5603, -5598?\nAnswer: -5593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4583.44189 rounded to the nearest ten?\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158572*n**2*z**2 + 2*n**2*z + 604*n*z**2 - 3*n*z - 45*n + 3*z**2 + 2 wrt n?\nAnswer: 317144*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000306937 rounded to 7 dps?\nAnswer: 0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-3 + -2)) + (56 - 63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.68 + -35.68. What is the third smallest value in w, 28, 0.4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -441, -741, -1059, -1401, -1773, -2181, -2631?\nAnswer: -3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3, 5, 9, 19 in ascending order.\nAnswer: -5, 3, 4, 5, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13962 and 2506.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 - r + 15. Let q = -21 - -12. Is z(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84631226 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*t - 10 = 115*t. Let h(l) = l**3 - 3*l**2 + 3*l - 1. Give h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273333986 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.26 - 0.06. Let v = -79 + 81. Is r at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - -56. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158232217.\nAnswer: 11, 13, 43, 25733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -14.3 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 4. Suppose -38 = -x - 2*v, -5*v + 44 = x - 0*v. What is the remainder when x is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69525817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796054?\nAnswer: 2, 7, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5112 divided by 8.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -24 + (-26 - -34)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 60. Let v = 41 + -19. What is the remainder when v is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8831455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 >= 937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5454 - -8150. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14631 + 21?\nAnswer: -14610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 + v**2 - 3*v**2 + (v + v + 0*v)*(-5*v + 6 - 6) - 4*v**2 + 3*v**2 + 2*v**2 - 2*v in the form t*v + n + f*v**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + -0.1. Let h = 3\/6188 + 2271\/4420. Let v = 232\/315 - h. Put 0, u, v, -5 in descending order.\nAnswer: u, v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*i)*(2*i + 0*i - 4*i)*(-2810 + 3628 + 5325).\nAnswer: 24572*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/7 - 2*l - 120\/7 = 0. Calculate l.\nAnswer: -5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -0.2 (c) 4 (d) -7189 (e) -0.1 (f) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-40) - ((-693)\/(-55))\/9. What is the nearest to 1 in -10, 0.092, k, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 4. Calculate c(14).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 45758 = 51722. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/2))**7*(h*h**1)**(-15) assuming h is positive.\nAnswer: h**(-67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 693*k**3 + 3783*k**2 + 314*k**3 + 3196*k**2 - 2930*k**2 wrt k?\nAnswer: 6042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17643 and 3831.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 128 = -20*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85.36 - 85.46. Which is greater: p or 4\/1561?\nAnswer: 4\/1561","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -33*h + 8. Let s be p(-12). Suppose 0 = -2*m + 6*m + s. Round m to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1199 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h**(-1))\/h*h*h*h)**(6\/5)*h**(2\/15)*h**(-1))**23)**5 assuming h is positive.\nAnswer: h**(943\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 3, -51743, 1 in decreasing order.\nAnswer: 3, 1, -3, -7, -51743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6513, 12077, 17641?\n\"Answer: 5564*i + 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.09?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + ((-40210)\/20)\/((-4)\/8).\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*d + 136, n + 88 = 2*d - 0*d. Let k = n + 113. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 - -8.396?\nAnswer: 6.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + a**3 - 31*a**3 - 101*a**2 + 101*a**2 + (-4*a + 2 + 2*a**2 + 4*a)*(a - 3*a + 0*a) as w*a + m + d*a**3 + f*a**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcdcccd. What is prob of picking 2 d and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 149543856?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000179934 rounded to seven dps?\nAnswer: 0.0001799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -425 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 19.87. Let t = 2.055 - p. Sort -3, t, -2\/9 in increasing order.\nAnswer: -3, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2 + (-2 - 3) - -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1270\/(-254)*(-12)\/5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 447*n**2 + 525*n**2 + n**3 - 113*n**2 - 2*n to w*n**3 + c + i*n + d*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*d = 24*d + 961480. Is d a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -489 + 494. What is the closest to u in -5, 1\/10, -0.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380739?\nAnswer: 3, 126913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 272982.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 128 + 26 + 34 + 243 - g in the form s + d*g and give s.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 - -194. Let k = 18 - 10. Let o be 2 - k\/(-10)*-3. Which is the second smallest value? (a) r (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**2 - 6*h + 7. Calculate r(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 956196.2 weeks in days?\nAnswer: 6693373.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1091 + -1040. What is the greatest common divisor of w and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 10*q**2 - 16*q - 4. Let d be k(-8). Let h(m) = m**3 - 4*m**2 + 4*m - 3. Let p be h(2). Let a = -1 - p. Sort d, -9, a in ascending order.\nAnswer: -9, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87819 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1 + 7. Let i = 9\/16 - 5\/16. What is the closest to 1 in -2\/9, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1571843 micrograms to nanograms.\nAnswer: 157.1843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008739 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 20051, -19, 21 in descending order.\nAnswer: 20051, 21, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 104*r**2 + 40*r - 613. What is the thousands digit of g(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and 0.3?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**4\/12 + 4*g**3\/3 - 6*g**2 + 21*g. Let w be n(5). Is 0 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0 + 0*v**2 + 3*v - 149\/6*v**3. Is k(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*v**2 - 239*v**2 - 234*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 5, 0.3, -4, -3922?\nAnswer: -3922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 25. Let r(a) = 3*a - 26. Calculate 3*r(k) + 2*y(k).\nAnswer: k - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 7, -3 in ascending order.\nAnswer: -3, -0.5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -106*f. Let v(t) = -221*t**2 + 220*t**2 - 8 + 8. Calculate l(v(a)).\nAnswer: 106*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r - 290. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/304 - (-34)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21171 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3 (c) -464627.7 (d) -5 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63462 and 3575026?\nAnswer: 10725078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*39.58.\nAnswer: -3.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + 0 + (-6 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1371, 12, -80 in descending order.\nAnswer: 1371, 12, -1, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2241 + 2673. Solve c - 442 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*w - 37*w - 86*w - 95*w + 720 = 0 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -3, -65, -205, -453, -839?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukubk. Give prob of sequence ukbu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 1. Let o(t) = -4*t**3 - t - 128. What is -k(q) - o(q)?\nAnswer: 4*q**3 - q**2 + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 703*i**4 - 232*i**3 + 897301*i**2.\nAnswer: 16872*i - 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*x + 72*x + 3145. Suppose -5*d = 4*i - 290 - 26, 0 = 2*i - 5*d - 188. Let q = x + i. Is 6\/13 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5\/2*i**2 + 19*i - 5\/48*i**4 + 25\/24*i**3 + 0. Factor w(u).\nAnswer: -5*(u - 4)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 9*s + 9*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/((-2024)\/3059))\/(7\/(-4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 + 3*v**2 + 6*v + 6. Calculate s(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4500216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 - 196 - 208)*(-2 + 0 + 3)*(2*u + 3*u - 6*u).\nAnswer: 283*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1592661 and -1592665 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 34*g**3\/3 - 14*g + 1. Let o(v) = -3 - 2 + 2 + 7*v**2. Let k be (-6)\/(-4)*(3 - (-259)\/(-21)). Determine k*o(i) + 3*l(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + a - 2. Let l be w(0). List the prime factors of l*(-23)\/2 - -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84920 divided by -21230.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5.4. Let z = -0.65107 - 0.04893. What is the closest to z in -4, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 107 - 31. What is the remainder when 75 - 5 - 5\/((-15)\/9) is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from xxxxxjxjqxxjxhxxj.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2141536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 6460700?\nAnswer: 6460700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4875 divided by -4.\nAnswer: -4875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 (base 6) in base 4?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 7*j - 9 = -3*p, 3*j + 6*p = 18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101297, -202364, -303427, -404486?\nAnswer: -505541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 - 24 + 25 - 3*b**4 + (0*b**2 - b**2 - b**2)*(-1 + 2*b**2 + 1).\nAnswer: -10*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/(-51) - (-21)\/119. Factor 1\/3*r**4 - 1\/3*r**5 - 1\/3*r + 1\/3 - 2\/3*r**2 + x*r**3.\nAnswer: -(r - 1)**3*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 690881\/23 or 0.1?\nAnswer: 690881\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b4 - -789?\nAnswer: 6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -3*v**5\/20 - v**2 + 6*v. Find the first derivative of h(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(720)*1)**2 + -4).\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 5*s**2 - 10*s + 4. Let g(u) = 5*u**3 - 9*u**2 - 21*u + 7. Let m(k) = -3*g(k) + 7*i(k). Let f = -399 + 392. Calculate m(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4851 is divided by 1609?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60818 is divided by 760.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 12*w**2 - 10*w + 3. Let f be j(5). Let t(a) be the second derivative of 0 + 0*a**2 - 1\/3*a**f + a. Let y(g) = 2*g. Give t(y(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 952046857?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 14)\/((-4)\/(-4)). Let d = i + 23. Suppose 20 = 4*g - d*g. What is the nearest to 0.1 in g, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 5, a: 15}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 - 1) - (-34 - -39)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v + 6 = 3*j, -2 = -j. Suppose 3*r + 3*w - 48 = v, -2*w - 2*w = -8. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30094\/185367 + -16\/1261. Do g and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 4. Let d be u(-3). Suppose -3*n - 304905 = d*n. Let x = -175981 - n. Round x to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 241.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8330616 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/14)\/((-148)\/74).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 8, 1, -0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/34655 at least -194\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*q**3 + 96*q**3 - q**3 + 20*q**3 + 13*q**3.\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -4 (c) 825 (d) -11\/2 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -16898 - 14779. Let i = 105499\/10 - o. Calculate the common denominator of i and -7\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 - 16*y**4 - 7*y**2 + 18.\nAnswer: 120*y**2 - 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 116, 122, 128, 134, 140, 146?\n\"Answer: 6*v + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, 1110, 0, 3, -3 in increasing order.\nAnswer: -5, -3, 0, 3, 11, 1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/3 - 175*b**2\/3 - 7574*b\/3 - 7400\/3 = 0. What is b?\nAnswer: -100, -74, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1690300, 1690337, 1690378, 1690423, 1690472?\n\"Answer: 2*h**2 + 31*h + 1690267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 3:31 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 487\/3 - 163. Which is the fourth smallest value? (a) 2 (b) r (c) -0.5 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-14 - 2)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (-25 - -12) + -15 + 13 + -1.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1559448680 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**5 - 2*v**5 - 3*v**5)*(4 - 5 - 1) - 2*v**5 + v**5 + 2*v**5 + (7*v + 6*v**2 - 7*v)*(-221*v**3 - 169*v**3 + 176*v**3).\nAnswer: -1279*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15618 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: Factor -2*u**3 - 369072*u**2 + 369074*u.\nAnswer: -2*u*(u - 1)*(u + 184537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 8. Which is the third smallest value? (a) 3\/2 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.197 + -0.087. Let k = -0.11 + t. Suppose 0 = 3*f + f + 4. Which is the smallest value? (a) f (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/10 - 19933*n**3\/2 + 847297*n**2\/5 = 0 for n.\nAnswer: -99682, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(o**5 + o**5 - 4*o**5) + 3*o**5 - 2*o**5 - 6*o**5 + 3*o**2 - 2*o**5 + 3*o**2 + 0*o**2.\nAnswer: -5*o**5 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 1)*(12 + 6 - 23)*(-27 + 13 - 16 - 2*a) to u*a + c and give c.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*0\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*w = -3*t + 40006, -3*t = 2*w - 29994. What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 165199 (b) -26.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v - v**2 + v)*(4 - 3 - 3)*(-4 + 0 + 2)*(4*v + v - v) as u*v + w*v**2 + d*v**3 + g and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u = 7655. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) 2.053 (d) -76\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*(r**(-1\/13)*r)\/r)*r*r**(-4))**(-17\/2)*((r*r**(-1\/7))\/r*r**8)**(-5) assuming r is positive.\nAnswer: r**(233\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 11. Let q = 43 + b. Let g = q - -4. What is the third smallest value in 0, g, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/461625 and -50\/969?\nAnswer: 149104875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/76 and 13\/27333308.\nAnswer: 519332852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35943887 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2\/2 - 53010129*y + 936691258865547\/2 = 0.\nAnswer: 17670043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = -32*a + 2*a + 23547. List the prime factors of a.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4868884 by -146.\nAnswer: -2434442\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 6*w**2 + w**2 + w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4360196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049079 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118002753?\nAnswer: 3, 11, 1191947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 348, 449, 550, 651, 752?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) -2\/3 (c) 3\/202 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -8 - -18) + -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -229, -156, -37, 128?\n\"Answer: 23*y**2 + 4*y - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*h + 5*h. Let x(b) be the third derivative of -1\/15*b**5 + 0 + 0*b + 0*b**3 + h*b**4 + 3*b**2. Let n(o) = 2*o. What is x(n(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20925 + -13606. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.6 * 37.6467\nAnswer: 1942.56972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208499 is divided by 177.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10294 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y - 13*y - 102 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 + 324789*t**3 - 2*t**2 - 57128*t - 2?\nAnswer: 240*t**3 + 1948734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - q = -6*q - 19, -4 = 2*q. Let n = 34 + t. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7 + 1167*t + 21 - 1172*t. Give r(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196c (base 15) to base 7\nAnswer: 22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -851305, -1702621, -2553937, -3405253, -4256569, -5107885?\nAnswer: -5959201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-7 + 2)) + 8\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1, u: 1, i: 1, s: 1, c: 2}. Give prob of picking 1 i, 1 s, and 1 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*c - 385, -148*c + 986 = -4*k - 74 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**3*y - n**3 - 1331*n**2*y + 6*n - y + 4257 wrt n?\nAnswer: 6*n*y - 6*n - 2662*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -336140, -336141, -336142, -336143, -336144?\n\"Answer: -i - 336139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 11) + (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 8*n**2 + 14*n + 7. Let k be u(5). Solve -k*m + 9 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 232, 258, 174, -56, -468, -1098, -1982?\nAnswer: -3156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1184249.3 - 0.032?\nAnswer: -1184249.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(19))**2*2*-3*-3.\nAnswer: 36*sqrt(19) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 6 in descending order.\nAnswer: 6, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1) + 400\/126. Let t = p - 5273\/252. Let a(b) = b**3 - 16*b**2 + 14*b - 16. Find the common denominator of t and a(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + 10?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - 4*s**2)*(28*s**2 - 58*s + 58*s).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*f + 1827. Suppose -7*n + f = 91. What is the remainder when n is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + y**5 + 2*y**2 + (-3*y**2 - y**2 + 2*y**2)*(-2*y**3 + 4*y**3 - 3*y**3) + 2*y**5 - y**5 + 2*y**5 + 273*y**5 + 50*y**5 + 26*y**5.\nAnswer: 355*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*t**4 - 2*t**3 - 6*t**2 + 97*t - 54.\nAnswer: -984*t**2 - 12*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-4 - (23 + -15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwcwwcc. What is prob of sequence ccc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 586, 2368, 5948, 11926, 20902, 33476?\n\"Answer: 100*q**3 - q**2 - 113*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**2 - 7*g - 4. Let v be s(3). Let n = -12 - -9. Let l = 2 - n. Which is the nearest to -1? (a) l (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448766154*r - 448766127*r + 897532281*r - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 - 134.00000016. Round b to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 5489 = -20511. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*t - 107, 0 = 3*t - 3*w + 163 - 346. Solve -t + 54 = 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 4435 - 4401 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 8*u + 4*u - 274, 0 = 3*t - 5*u - 154. Calculate the remainder when t is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*k + c, 0 = 4*k - 3*c - c. What is the common denominator of 2\/k*(-102)\/72 and -29\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159\/4187)\/(21\/(-14))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 787, 800, 799, 778, 731, 652, 535?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -11*k - 5. Let d(b) = b**2. Let y(m) = -14*m**2. Let h(q) = k*y(q) + 10*d(q). Solve h(c) = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*(sqrt(119) - -1*sqrt(119)*-1))\/(3*(sqrt(112) - sqrt(112)*2*5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1.2206\nAnswer: 0.24412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 6141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*o - 8*o + 21*o)*(0*o + 4*o - 2*o)*(6 - 1 + 0) to k + t*o + v*o**2 and give v.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 6*h + 11*h = 0, -2*h - 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15 - -17) + 0\/2. Suppose 14 = -4*p + i. Let h(u) = 3*u + 4. Give h(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/12 and (-1124)\/(-4360) + -7 + (-104)\/(-15).\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 12. Let w be i(12). What are the prime factors of (-7044)\/w - (-2)\/(-13) - -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 0 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -10. Let i = -167\/3 + 55. Which is the nearest to s? (a) i (b) 1\/6 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1280 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095 times -2.41?\nAnswer: 0.22895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-28)*(80 + (-11120)\/160)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/sqrt(4)*-6 + 4.\nAnswer: -6*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 5*j**2 + j - 2. Let a be o(6). Suppose 0 = 2*r - 5*h - 14 - 1, -3*h + 12 = 3*r. Calculate the highest common factor of r and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12, 6, -2, -12, -24, -38, -54?\n\"Answer: -h**2 - 3*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*h + 20 - 29 + 9 to the form c + q*h and give q.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 + 9 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (0 - 15\/3). Let y(p) = -p**3 + 4*p**2 + 5*p + 3. Let s be y(b). Factor -1 + 3 - 2*o**s - o**2 + 2*o - o**2.\nAnswer: -2*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37650, 75476, 113480, 151662, 190022, 228560?\n\"Answer: 89*j**2 + 37559*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170667 is divided by 1815.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*v - 2*u, v + 3*u - 3 = -0*v. Suppose 2*j + 9 = -4*d + 31, 37 = v*j + 5*d. What is the remainder when j is divided by -1 + (-8)\/(-1) - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0281626602 to 4 decimal places.\nAnswer: -0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151 is divided by 264?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**9\/7560 + d**8\/3360 + d**7\/630 + d**4\/2 + 3*d**2. Let f(s) be the second derivative of o(s). Factor f(y).\nAnswer: -2*y**2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*u + 24. Let t(a) = -4*a - 1. Let h(k) = -k + 1. Give u*h(s) + t(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92886 and 904.\nAnswer: 371544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4977 - 5359. Is l bigger than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14129 is divided by 3401.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*q - 26240 - 23934 + 3304 = -10015 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55473.13 grams to micrograms.\nAnswer: 55473130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273695 and 2345.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*y + 12*y**3 - 38*y**3 - 35*y + 25*y**2 - 5*y**4 + 8*y.\nAnswer: -y*(y - 1)*(y + 6)*(5*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*f**3*r**4 - 10*f**3*r**2 - f**3 + 33*f**2*r**4 + 3*f*r**2 + r wrt r?\nAnswer: 1128*f**3*r + 792*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10 + 132*m - 70*m - 67*m. Let n be v(-4). Let o be (-1)\/(-2) - (-2)\/(-4). Solve -5*f + o*f + n = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 16*h + h + 3*h.\nAnswer: -h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 62. What is the remainder when a(20) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.9011km in millimeters?\nAnswer: 198901100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 6220.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -395115 by -1113.\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 4*a**2 - 9 + 9 + 10 + 3*a**2. Let h be c(7). Put 3, h, -3 in ascending order.\nAnswer: h, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1036 and 4940908?\nAnswer: 182813596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p)\/p*p*p**(-2\/5))\/(p\/(((p*p**7*p)\/p)\/p)*p*p**(-22)) assuming p is positive.\nAnswer: p**(148\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let o = -3.999 + d. What is o rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*k**3 - 356 + 1696 - 44*k**3.\nAnswer: 2*k**3 + 1340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.291 - -0.291. Which is the nearest to 0.1? (a) -10 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38894, 155446, 349700, 621656, 971314, 1398674?\nAnswer: 1903736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -16. Which is the closest to -0.1? (a) 3\/8 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 674 - 2020\/3. Which is the third biggest value? (a) -0.3 (b) 4\/9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/5 + 141046*l\/5 + 23169608 = 0 for l.\nAnswer: -812, 71335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w = 55*w - 10032 + 1228 for w.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k. Let d(s) = 0*s - 7*s + 0*s + 1. Calculate 2*d(c) - 5*r(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**3 - 7*t**2 - 5*t + 17. Let b(i) = -7*i**3 + 4*i**2 + 3*i - 9. Let j(s) = -7*b(s) - 4*m(s). Determine j(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4841 and 91036136.\nAnswer: 91031295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmammxalvmfmfvaamamm. What is prob of picking 2 f?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 0 + 1 - 755*f - 1581*f + 2337*f - 1.\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 + 4*f**2\/7 + 2*f\/7.\nAnswer: 2*f*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4))**9\/(r*(r\/r**(-5)*r)\/r)**35)**(13\/7) assuming r is positive.\nAnswer: r**(-12623\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/630 and 73\/165487910.\nAnswer: 1489391190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w - 2 + 3 + 2. Suppose 4*m = -0*m + 4. Let i(h) = -10*h - 4 - 4 - m - 5. Give 14*g(y) + 3*i(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 1. Let i be (-7)\/((-21)\/(-24)) - -12. Which is the nearest to r? (a) -0.1 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Let v(h) = -6*h**3 - 3*h**l + 3*h**3 + 4*h**3 + 1. Calculate the remainder when v(4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.87 - 48\nAnswer: -39.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-155*w - 40390 + 40390)*(-4*w + 0*w + 3*w) + (-5 + 23 - 6)*(3*w**2 - 5*w**2 + 0*w**2) to the form z + t*w + s*w**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11096.9 + -11236. What is g rounded to the nearest integer?\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, 1356, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.045 from 6436.3386.\nAnswer: 6436.2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwpd when four letters picked without replacement from wdwpdwwpw?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(9\/1))\/(6\/2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 2, s: 1, c: 1, g: 1}. Give prob of sequence gs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 8*m**2 - m + 1. Determine l(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 - -148. Suppose -a*q + 170 = -2*c - 10, -2*c = 3*q - 168. What is the highest common divisor of q and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84814335 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 + -10. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2706 = -2678. Solve p*n - 124 = -112 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2930627.\nAnswer: 7, 499, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 2 d when four letters picked without replacement from {z: 2, b: 5, s: 2, d: 3, l: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -562, -941, -1482, -2191, -3074, -4137, -5386?\nAnswer: -6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-4) - (-36)\/48. Suppose 2*z = j, -3*z + 5*j - k = 2*j. What is the third derivative of 3*m**2 - 5*m**2 - 7*m**4 - z*m**2 - m**2 wrt m?\nAnswer: -168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3640117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -19433755.\nAnswer: 19433755.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3 - -5)*1. Factor 15*z**4 + 10*z**3 + 6*z**y - 4*z**3 - 27*z**5.\nAnswer: -3*z**3*(z - 1)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271025 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**2 - 6 + 3*d**2 + 47*d**3 - 7*d**2 + 15 - 5*d**2 to k*d + h*d**2 + u + g*d**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 215935137 to the power of 1\/2, to the nearest integer?\nAnswer: 14695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(162) + (sqrt(162) + 1)**2 + 1 + sqrt(162) + (((sqrt(162) + 1)*-6 - sqrt(162)) + sqrt(162))**2 + 0.\nAnswer: 684*sqrt(2) + 6028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4886176 divided by 2279\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210333 + 471987227\/2244. Find the common denominator of f and 9\/121.\nAnswer: 24684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -325 + 585. Suppose -6*r + 4*j + 214 = -3*r, -4*r = j - d. Calculate the remainder when r is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 0.8 (b) 7.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4026\/(-13420))\/((-3)\/(-5))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2545 + 2508.91. Let h = l - 1.91. What is the second smallest value in 2, 3\/4, h?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24634 by 1119.\nAnswer: 24634\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 2*f**7\/21 - 26*f**6\/15 + 58*f**5\/5 - 36*f**4 + 48*f**3 + 13*f + 10. Find z, given that s(z) = 0.\nAnswer: 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 405 - 168. Let m = b - -39. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/5 (b) -1 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -58?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 36, -4, -1.28, 0.03, -2\/3, -120?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - o**2 - 6)*(-11 + 3*o + 11) as f*o**2 + w*o + s + b*o**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/254 and -115\/192?\nAnswer: 24384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -11dc?\nAnswer: -11ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + -0.3. Let v = 266385.5 + -266385. What is the second smallest value in r, v, -4, -6\/53?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(1 + 3 - 2) + 5 + 3 - 16)*(538 + 2*b + 4*b - 525).\nAnswer: -72*b - 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.249 - 0.814. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (108 + 331 + 799 - 45 + 1258)*(2 + 2*f - 2) as b + q*f and give q.\nAnswer: 4902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -194540805 divided by -15?\nAnswer: 12969387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 4, -2.3, -0.2.\nAnswer: -2.3, -3\/7, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-1)\/1))\/((-124)\/(-62))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -5, -37.\nAnswer: -37, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*c**2*s**2 - 5*c**2*s + 1164*c**2 - s**2 wrt s?\nAnswer: 26*c**2*s - 5*c**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**4 - 6*h**3 - 2*h + 8*h**3 + 0*h**2 + 2*h**2 - h**3 as z + j*h + v*h**4 + f*h**3 + g*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11568848 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 4, p: 1, e: 7, s: 2}. Give prob of sequence ep.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m**2 + 39*m**2 - 19*m**2 + 24*m as w*m + h*m**2 + r and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 equal to 6761\/745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 + 11 + (-1)\/(-6) - 1236970\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/12)\/((((-152)\/(-6))\/19)\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260106220 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35232707 to the power of 1\/2, to the nearest integer?\nAnswer: 5936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1085 = -2*p, 4*f + 185 + 375 = p. Solve 492 = -5*d + p for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumvuufmmmuqfumfumm. Give prob of sequence uvuf.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 181*0.4\nAnswer: 72.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 327\/(-27) + 3 and 3\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 - 109. Let w(q) = q**3 - 6*q**2 + 2*q + 13. Let k be w(5). Sort k, -15, b in increasing order.\nAnswer: -15, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from upppuuppuppu.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**(-4\/25)*(o\/(o**0\/o))**11 assuming o is positive.\nAnswer: o**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21859787893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -15, -3, 358, -508, -2 in decreasing order.\nAnswer: 358, 3, 2, -2, -3, -15, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436032208?\nAnswer: 2, 3, 50750671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 + 3*d - 12. Let k be a(2). What is the common denominator of ((-3)\/(-70))\/(k\/1813) and -99\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 81*r - 78*r - 33 = 0, 0 = 4*h + 3*r - 43. Calculate the smallest common multiple of h and 172.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(363)*1 - sqrt(363) - sqrt(3)) - sqrt(63)\/(2*sqrt(441) + sqrt(9))) + -1.\nAnswer: -16*sqrt(7)\/15 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172605.4785 milliseconds in weeks?\nAnswer: 0.00028539265625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 381*h - 380*h - 35 = 0, 7*v + 22 = -4*h for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-10)\/c*c**(7\/6) assuming c is positive.\nAnswer: c**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by 76?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 3*a**2 - 3*a + 3. Let j = 23 - -54. Suppose -5*q + 189 = -4*c, -2*c = -2*q + c + j. Let b = q + -34. What is k(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321434?\nAnswer: 2, 173, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/3757 + -5143311\/41327. Let u(p) = 31*p**2 + 1. Let i be u(-2). Let g = i + y. What is the closest to 1 in g, 2, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 993274 is divided by 203.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67a1 + -148?\nAnswer: 6655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9504239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173.796 + 107.78. Let q = y + 66. Round q to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15 - 5*v**3 - 3*v**3 - 5 - 9*v**3 + 14*v**3. Let p(b) = 3*b**3 - 9. Determine -3*c(o) - 2*p(o).\nAnswer: 3*o**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*w - 17 + 1, -2*k + 3*w = -2. Suppose -3*y + y = -k. Suppose 0 = -0*f + y*f - 134. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1\/(-4)*6. Let v = 13 + h. Suppose -v = -r + 2. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 2*g - 37*g**2 + 0*g + g in the form u + t*g + m*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 7. Let b be w(6). Suppose 5*j = 15, -2*m + 3*j = 3 + 2. Let d be b + 4 + (-4)\/m. Solve d = -5*z - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 15*h**2 + h - 53. What is w(-15)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1a7?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479, 1923, 4331, 7703, 12039, 17339?\nAnswer: 23603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1462341\/14 and 104453 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**2\/2 - 3*g + 5. Let i = 2 - -7. Calculate the least common multiple of r(i) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/11400 and -93\/50000.\nAnswer: 2850000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 19*p - 53. Let m be s(-9). Suppose -48 = -5*w + m. What is the highest common factor of w and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(468) - (sqrt(13) + 1 + -3)*-5.\nAnswer: -10 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:25 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 642*j - 5039. Give q(-120).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 15 - 27 - (1 + 9 - -4)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.6 - -0.6. What is the closest to -4 in -4, x, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 293089581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 139, -414?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -3\/4 (c) -4 (d) 31 (e) 79.12 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 c, and 1 x when three letters picked without replacement from {x: 2, p: 1, e: 1, d: 1, c: 1, z: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4284, 4946, 5606, 6264, 6920?\n\"Answer: -u**2 + 665*u + 3620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 441*q - 22. What is the hundreds digit of h(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111 and 36.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 311705 and 57815.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6))\/((153\/(-17))\/(-198))*1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.11 (b) -2\/3 (c) -4 (d) -138\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -801?\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 13*s - 37. Give x(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16\/3327, -4, 1 in increasing order.\nAnswer: -5, -4, -16\/3327, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 + -77. Suppose -2*n = -0*n - a. Suppose 5*f = -b + 105, 2*b = 6 - 16. What is the highest common factor of n and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**3 + 7*u + 1. Let a(r) = 1 + 0*r - 6*r + 5*r**3 + 14*r. Suppose 216*y - 228*y + 36 = 0. Calculate y*a(j) - 4*b(j).\nAnswer: -j**3 - 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2846964 divided by -3\nAnswer: 948988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 4) in base 3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30.28, 0.1, -5, -1, 5, 1\/4 in increasing order.\nAnswer: -5, -1, 0.1, 1\/4, 5, 30.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j + 14*j + 520 = 12*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5606443 to the nearest integer?\nAnswer: 2368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10769 (base 12) in base 9?\nAnswer: -32840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose 2*m = a + 1, 5*a - 2 = w*m + 3. Suppose a*q - 17 = -3*k + 7, 0 = q - k - 18. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssstsst. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkzukkzk. What is prob of picking 2 k and 1 u?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 36*z**2 + 5605360*z - 89694976 = 0.\nAnswer: -1401484\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*l + 95*l**3 - 47*l**3 - 82*l**3.\nAnswer: -34*l**3 + 138*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.18 - 9.18. Let g = -9.7 - c. Is 0 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5\/4 - 615*c**4\/2 + 3612*c**3 + 115887*c**2\/2 - 791901*c\/4 = 0.\nAnswer: -421, -11, 0, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5361.508 litres to millilitres.\nAnswer: 5361508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4837, 38582, 130181, 308560, 602645, 1041362?\n\"Answer: 4821*s**3 + s**2 - 5*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from jtftgfjgjggoogo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/720 - 2*g**4\/3 + 21*g**2. Let k(r) be the second derivative of c(r). Let m(o) = 2*o. What is k(m(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (18 - 11) + (4 - (3 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133808*a**2 + 66962*a**2 + 66873*a**2.\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12) - (85\/70 - 0).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 62*d**3 - 159*d**3 + 98*d**3 + 0*d.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96163 is divided by 226?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-6 - (-24 - -24) - -15)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(1584) + 0)**2 - (3*1*sqrt(176))**2) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*q + 12. Suppose -3*p = q - 9, -18 = -4*a - 5*p. Solve -24 = -a*j + 4*f, 0 = -4*j - 2*f - 3*f - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 7, h: 11}. Give prob of picking 1 h and 1 g.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/9 and -32\/27123.\nAnswer: 81369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + a**2 - 50 - a**2 - 957*a + 967*a + a**2. Is b(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*l = 277*l - 40. Calculate the least common multiple of l and 3820.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/126)\/((-12)\/28)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/190*-10*1*(-6)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)\/w**(-1\/4)*((w\/((w*w**(-1\/3))\/w)*w*w)\/w)**(1\/15) assuming w is positive.\nAnswer: w**(433\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*f**3 + 3*f**2 - f?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -1)*((-96)\/(-18))\/(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 308.68 - 9.38. Round s to zero decimal places.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10710 and 126.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.6701kg to tonnes.\nAnswer: 0.4946701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0.6. Let a = 0.5 - u. Let n = -2.1 - a. What is the closest to n in 5, -3\/5, 4\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9, 2*r - 5*r + 234 = z. Suppose -r = -2*d - p, 0 = -5*d - 2*p - 2*p + 185. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6791 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u + 56*u - 40*u - 186 - 106*u - 113*u.\nAnswer: -245*u - 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*d + 20, 13 - 3 = d - 2*x. Solve d = h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16366\/5 - 3267. Which is the nearest to -1\/9? (a) 5 (b) t (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256819854 a multiple of 3164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15576597 to four decimal places.\nAnswer: -0.1558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 121?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 858, 1759, 2660, 3561?\n\"Answer: 901*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sesjssseeesss. What is prob of sequence ss?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -7. Let s be 344\/12 + m\/(-3). Calculate the highest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*l - 62*l - 67*l + 197*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14292 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962916.\nAnswer: 2, 3, 29, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -58\/7, 0.2, 2, 2\/1961, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f. Let x(p) = p + 5. Calculate x(q(r)).\nAnswer: 10*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 1, -2 in increasing order.\nAnswer: -2, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -110\/521937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -122641, -122642, -122643, -122644, -122645?\n\"Answer: -k - 122640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (451*d - 59 - 225*d - 225*d)*(2 + 7 - 3)*(-1 + 0 - 1)*(-d**2 + 3*d**2 - 4*d**2).\nAnswer: 24*d**3 - 1416*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17515.8659 rounded to 0 dps?\nAnswer: 17516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1 + 3 = 0. Suppose 3*k + 2*k - c = -3, -3 = -m*k - c. Suppose 3*y - 92 - 76 = k. What is the highest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32992723?\nAnswer: 113, 291971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 11:38 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34549 rounded to three dps?\nAnswer: 0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**8\/896 + f**7\/280 + 9*f**6\/320 - f**5\/80 - f**4\/8 - 609*f**2. Find c, given that i(c) = 0.\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 255 = 0. Let s = -21 + o. Suppose 5*r + 20 = 0, 4*g + 5*r = 3*g + s. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.6 rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19660350 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -71564906 divided by 35782453\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8294462, 0.2, 4\/17?\nAnswer: -8294462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b**4\/5 + 458*b**3 + 16792*b**2\/5 + 40136*b\/5 + 6240 = 0. What is b?\nAnswer: -156, -25\/7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -32*t**4 + 494*t**2 + t - 9236. Let y(v) = 55*v**4 - 989*v**2 - v + 18473. Let r(m) = -5*f(m) - 3*y(m). What is the derivative of r(z) wrt z?\nAnswer: -20*z**3 + 994*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 104\/89925 and 79\/1419.\nAnswer: 3866775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -59\/725621?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 minus 0.9?\nAnswer: -398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/2, -0.3, 2\/7, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {h: 2, e: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a - 5*b = 23, -4*a + 5*b + 17 = 0. Let h be 2 + a + (-12)\/8. Let q = 35 - 39. What is the nearest to q in -2, h, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5772, 11542, 17326, 23130, 28960, 34822?\n\"Answer: b**3 + b**2 + 5760*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840, 1685, 2532, 3381?\nAnswer: 4232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3*3 - -15. Calculate the common denominator of 14\/24*264\/s and -41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, t: 2, r: 7}. Give prob of sequence rtrr.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:19 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -3, 23, -4, 5 in decreasing order.\nAnswer: 23, 11, 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -9\/4*k**2 + 4*k + 1\/6*k**3 + 273. Factor g(z).\nAnswer: (z - 8)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**2 - y. Let b be r(1). Let o(u) = 0*u + 3*u + 2*u + 9 - 4*u. What is the units digit of o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqmmqqmqq. Give prob of picking 1 m and 1 q.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19181879 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 1\/24*s**4 + 1\/3*s**3 + 0 - 4*s**2 + 0*s. Give g(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1775 - 1778*p**4 - 1775 + (3*p**2 - p**2 - 3*p**2)*(2*p**2 - 2*p**2 - 2*p**2) + 0*p**4 + 2*p**4 + 0*p**4 - p + p - 3*p**4.\nAnswer: -1777*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-60)*(-75)\/(-510))\/(1\/18).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.1 + -24.1. Let j = 14.48 - 0.48. Let b = y + j. What is the third biggest value in 3, -0.8, b, 0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/273 and -29\/5537.\nAnswer: 215943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - 14.2. Let r = 9 + m. Let y = -7.4 - r. Which is the nearest to 0.1? (a) -0.5 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4870762?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, 329, 938, 1815, 2972, 4421, 6174, 8243?\n\"Answer: 2*v**3 + 116*v**2 - 9*v - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202410 (base 6) to base 2.\nAnswer: 11111100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3. Calculate the remainder when g\/(1\/(-51)*1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5696 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -4 (b) 4\/5 (c) 10 (d) -29 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31864 = -734*t - 2504 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -5348047464.\nAnswer: -5348047466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 206420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-6))\/((-3)\/450)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1517987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13763258.\nAnswer: 2, 19, 362191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 10*a + 5. Let l = -15374 - -15369. Let n(q) be the second derivative of -q**4\/6 - 5*q**3\/2 + 4*q**2 - 3*q. Calculate l*n(f) + 8*u(f).\nAnswer: 2*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**6)*u**(3\/2)*u**2\/(((u*u**(-2\/11)*u)\/u)\/u))\/(((u\/(((u**(-2\/9)\/u)\/u)\/u)*u)\/u)**(2\/139))**(-23) assuming u is positive.\nAnswer: u**(277397\/27522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7, 20, 45, 88, 155, 252?\n\"Answer: v**3 + 6*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*d - 196194 = 4065*d + 138*d + 143334 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29803755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*m - 25 = 431*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 88668480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 + -12 + (0 - -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -90756500 rounded to the nearest 1000000?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 + 3501*j**2 + 4126*j wrt j.\nAnswer: 20*j**3 + 7002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36425136 + 25063?\nAnswer: 36450199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziuu when four letters picked without replacement from zuuuuzizuuuuuuuu.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364, 719, 1078, 1441, 1808, 2179, 2554?\nAnswer: 2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203775 + 54543.\nAnswer: -149232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131224789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {j: 3, l: 4, r: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -39*j**2. Let n be h(2). Let r = n + 247. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 m, and 1 d when four letters picked without replacement from {d: 5, v: 2, m: 5}.\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-9 + 5 + 7)*(-182 + 69 + 384*o - 381*o).\nAnswer: -18*o + 678","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419100 rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 3*d**2 - d. Let i be k(1). Let u = 0.2 + -0.9. Let r = -0.6 - u. What is the biggest value in r, -2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose -28 = j*a + 56. Let o = a - -62. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/265 and 17\/530.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.48 and 1.18?\nAnswer: 6.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 1 - 1)*(2*o + 2*o - 3*o)*(3*o + o - 2*o)*(173*o + 61*o - 72*o).\nAnswer: -324*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2132 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18*((-188)\/(-752))\/((-2)\/(-4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + -6 + 14 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16570*c - 192586 - 116092 = -568674 - 817054 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43478, 1, -405 in decreasing order.\nAnswer: 1, -405, -43478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 22*c**2 - 40*c + 2. Let d be g(-20). Suppose -9*w = d*w - 77. Calculate the lowest common multiple of 54 and w.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*u, 6 = 5*h - 3*u - 2. Suppose 0 = h*f - 3*f + 2500000. What is f rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(17) + 2.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3998?\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -47*p - 1. Let r(b) = -3*b**2 + b. Let d be r(1). Let s be z(d). Suppose -s = -3*n - 3*y, 3*n - 36 = -4*y + 54. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-16))\/(-2*2\/24). Solve 2*a = -5*o - 15, -w*o + 5*o = -a - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 15. Let h = -2 - o. Let n(s) = s**2 - 5*s + 2. Calculate the smallest common multiple of h and n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9570, 9566, 9560, 9552, 9542?\nAnswer: 9530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 583 + 55. Calculate the least common multiple of 14 and x.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3505 and 5.\nAnswer: 17525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**2 - 10*z + 45. List the prime factors of g(-7).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 15. Suppose -7*j = -4*u - 2*j + 20, u = -4*j - 16. Suppose 3*d - 48 = 2*i, -74 = -4*d - i - 76. Sort d, q, u.\nAnswer: u, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 11:35 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 49*i + 48. Let y be v(-48). Is -1\/1349 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*6\/15*336\/32. Solve 5*i = 41 - j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 246*g - 3775. Determine h(16).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((0 - -2) + -1)\/(-1). Let r be 21835\/2382*2\/(-15). Is r less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2685885266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 2:09 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 10:24 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 16. Suppose 0 = -5*p + 2*l - u, 6 = -p + 4*l - 6. Let y = p + 94. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 62 = -4*x - 32, 0 = -3*y + 4*x - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 i when four letters picked without replacement from {b: 2, i: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(2448))*1)**2.\nAnswer: 96*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (3 - ((-6)\/2)\/(-3)). Which is smaller: k or 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 140*c - 143*c + 12822, 5*c + 2*o = 21377. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8343.8298 + 10016.336. Let k = 1675.4 - c. Let r = -2.9 + k. What is r rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k**2 - 9*k + 3. Suppose 0*z = -24*z + 144. Determine b(z).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157886, 631561, 1421020, 2526263, 3947290, 5684101?\nAnswer: 7736696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x + 5. Let q(f) = -5*f - 4. Let i(k) = -4*b(k) - 5*q(k). Let w be i(3). Find the third derivative of 0*a**2 - w*a**2 - a**3 + 2*a**2 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 l when four letters picked without replacement from wpplplpwlwwp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99753.26 meters in millimeters?\nAnswer: 99753260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -8*o. Let l be 34\/10 - 27\/(-45) - o. Find the first derivative of -4*u**3 - 11 + 4*u**3 + 48*u**l wrt u.\nAnswer: 192*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = -8*j. Let u = j - -5. Is u\/(1\/(-63)*-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6823 + 6819.699. Let s = 0.001 + j. Let x = -14.3 - s. Is -1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 395 - 181. Let i = -148 + l. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.1 (b) -1 (c) -3 (d) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -23. Let f = i - 12. Suppose 3*v - 3 = 3*m, -5*m + v = -5 - 2. Sort m, -4, f in descending order.\nAnswer: f, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-1080)*18)\/((-1)\/20) - -7. Solve 3\/7*z**3 - 3*z + 0 + 18\/7*z**a = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 30. Let r = 33.000052 + o. Round r to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387 divided by -5.\nAnswer: -387\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**5*t\/(t\/(t\/(t*((t*t**(-1\/4))\/t)\/t))))**(41\/5)*(t**(-1\/5)*t**(-2\/7)\/t)\/(t\/(t\/t**(1\/4)*t)*t**(1\/5)) assuming t is positive.\nAnswer: t**(-822\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = c + 563 + 303, 2*t - 549 = -5*c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*p**2 - 29585*p - 19730.\nAnswer: 5*(p - 1973)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 4662 - 2988 + 623 + 55)*(-9 - 7*l + 9) to z*l**2 + g + s*l and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d = -4643 - 577. What is the remainder when d is divided by (-3)\/(-3 + -3)*98?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 91. Calculate the smallest common multiple of i and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**0)**30)**(-16) assuming m is positive.\nAnswer: m**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (3400\/(-276))\/5. Let l = y - -3\/23. Let t = -56.9 + 57. What is the nearest to l in -4, 2\/17, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-14) + (-4)\/8 + (-327)\/((-4211760)\/16640)\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j. Let o(u) = -u - 4. Let s be o(-6). Suppose 3*r + 2*r - 15 = -5*n, 0 = -s*n + r. Let q(c) = -n + 3*c + 1 - 5*c. Give q(w(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from zxzzzclzczlzzvlzvvxk?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 107. What is the units digit of (3\/(-5))\/(h + 1563\/(-195))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 - 2*c**2 + 2*c - 1. Let l be q(1). Calculate the remainder when 14456\/234 + l\/9 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 7. Let c be (-24)\/10*(-4)\/l. Which is bigger: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = d. Suppose -d*o = -10 + 2. What is the second smallest value in o, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvuuv. Give prob of sequence vu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2, -4*s - 48 = -5*v - 7*s. What is the greatest common factor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 23310684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*w - 228 = 0, -2*y = -2*w - 0*w - 216. Let t = -655\/6 + y. Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yezyguy. Give prob of sequence guez.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, n: 3, j: 1, l: 2, b: 1, i: 3}. What is prob of sequence nilj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.3 - -30. Put -2, l, 0 in decreasing order.\nAnswer: 0, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -3, 6, 16 in increasing order.\nAnswer: -36, -3, 6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 20 - n + 30.\nAnswer: -n + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 451 - 964. Let d = f - -992. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -56, -129, -262, -473?\n\"Answer: -3*t**3 - 3*t**2 - t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50 and (1\/(-6))\/((-2)\/(-177)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 10) to base 13.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17194 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -991583\nAnswer: -2\/991583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6196525, 6196532, 6196543, 6196558, 6196577, 6196600?\nAnswer: 6196627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31706 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 43*i**2 - 38*i**2 - 2*i**2 - 2*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(65)*2)\/(sqrt(25)\/(1*sqrt(5))).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t**2 + 2*t + t - 3*t as k*t**2 + d + j*t and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -3\/2*b**3 - 3\/16*b**4 + 0*b - 114 - 3*b**2. Find c such that m(c) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660175344.\nAnswer: 2, 3, 4584551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**19)*h*h)\/(h*h**23)*(h**17*h)\/(h*h\/((h\/((h*h\/(h*h*h**2))\/h))\/h*h)) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 458*p**2\/3 - 64720*p - 13568\/3 = 0. What is p?\nAnswer: -16\/229, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -6\/11, 0.1, -475?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (136\/(-6))\/(((-4)\/(-9))\/2). Let b = m - -87. Let y = b + 16. Is y at most as big as 5\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:27 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153066296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*o**2 + 687*o**2 + 99*o**3 - 2111*o**3 - 339*o**2.\nAnswer: -2012*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 149993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43295742 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72884, -145721, -218558, -291395?\n\"Answer: -72837*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -23.8. Which is the second smallest value? (a) 18 (b) 1\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-7))\/(3\/12). Suppose -3*z = z - x. Suppose -4*r + z*n = -25 - 191, 3*r - 164 = n. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/26 in -3, 5, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -24. Suppose -2*c - 3*b = -13, b + w = 4*c - 0*c. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0, -3, -1\/9, 0.5, -5.325?\nAnswer: -5.325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.5, 3\/13, 6.4, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139 - -158 - (2 - -2 - (1 - 0)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/42 + (-13)\/(-21). Suppose -4*g + 4*t - 12 = -2*g, -6 = g + 5*t. Let n be (4\/g)\/(8\/(-3)). Which is the smallest value? (a) -1 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 7*h + 15. Suppose h - 13 = -m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-3 + 3 - 5). Suppose 5*o + 35 = 5*a, 3*o = i*a - 2*o - 31. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339 - 126. Let c = -152 + g. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*t + 5 - 6 - 8*t in the form w*t + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*o**4 - 2199*o**3 - 37775*o**2 + 3.\nAnswer: 576*o - 13194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**4*q**2 - 42*f**3*q**3 + 2*f**2*q**3 + 3*f**2 + 161*f*q wrt f?\nAnswer: -24*f*q**2 - 252*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 10*v. Suppose 4*t + 3*p - 87 = v, -p = 4*p + 15. Calculate the greatest common factor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*x)*(-4*x + 3*x + 2*x) + 24*x**2 + 22*x**2 - 41*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 1)*(-2*c**2 + 6*c**2 + 0 - 1) to g*c + y*c**2 + r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = -18*q + 116 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*15\/(-105)*-1)\/(2\/(-35))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*i**2 - 163*i**2 - 165*i**3 + 35*i**2 + 97*i**2 - 2*i**4 + 2*i as s*i**3 + o + d*i + n*i**2 + r*i**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90526 * -2.\nAnswer: -181052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 103 = 109. Solve o + 2*a = b - 0, 3*o = -5*a + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = c. Let k be 15 - -8*(127\/(-8) - (-115 - -100)). Solve 10*v - c = k*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*i - 973, w - 2 + 1 = 0. Calculate the least common multiple of 7 and i\/(-63) + (-4)\/(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*p - 3*p. Suppose -11 + 2 = -p*g. Suppose 0 = -u + g. What is the lowest common multiple of 2 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 439*w**6\/30 + 495*w**2\/2 - 1291*w. Differentiate p(y) with respect to y.\nAnswer: 1756*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19783 + -19785. Let d = 0.1 + 0. Let w = 4.9 + d. Sort w, i, -0.3, -4 in descending order.\nAnswer: w, -0.3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - t - 69 = 229, -5 = 5*t. Let z = 101 + w. Calculate the remainder when 10\/35 - ((-635)\/7 + z) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(13) + -1))**2.\nAnswer: -1250*sqrt(13) + 8750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*g - 11*g**2 + 20*g as q*g**2 + a*g + n and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127580661 and 6738?\nAnswer: 3369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 633433 + -32?\nAnswer: 633401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 9:10 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((-18 - -35 - 8) + -1 - -47)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24*(2 + 1\/(-1)). Solve 8 = -4*o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9382 divided by 3425?\nAnswer: 9382\/3425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 2*c**2 - 2*c**2)*(483 - 775 - 687 - 322).\nAnswer: -1301*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615394521 and 110691?\nAnswer: 15813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 984 divide 11404560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1665)\/111)\/(10\/(-8)))\/52.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 14 = 2. Let r = a + -4. Let d(b) = 4 + r + 5*b**2 - 6. Let o(n) = 2*n**2. What is o(d(k))?\nAnswer: 50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*y = -8*k - 3, 3*k - 6 = y. What is the third smallest value in k, -2\/11, -39?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -5, 23.\nAnswer: -101, -5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 127, 285, 505, 787?\n\"Answer: 31*k**2 + 3*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s**2 - 16*s**2 + 7*s**2)*(-4 - 1 + 3) - 4*s**2 - 8*s**2 + s**2.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z - 21*z + 91*z = -728 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 13705?\nAnswer: 109640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let n(b) = -1187*b. Give n(o(w)).\nAnswer: 2374*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5)\/4*(-28)\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) - (-2*sqrt(320)*-2 + sqrt(320)) - sqrt(320)) + -1)*4*-1)**2 + -4.\nAnswer: 1280*sqrt(5) + 128012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*z**2 + 24*z**3 + 16*z**2 - 6*z**2 - 14*z**3 wrt z.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3305 - 21)*17\/(-2)*16\/(-32). Calculate the highest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*m*n**3 - 2*m*n + 65796*m + 81*n**2 + 2*n wrt n?\nAnswer: -36*m*n**2 - 2*m + 162*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59 + 60. Let b = 50 + -49.991. Let a = b - -0.291. Put a, i, 1\/3 in increasing order.\nAnswer: a, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/5 + 16857*q\/5 - 1125276.\nAnswer: 3*(q - 316)*(q + 5935)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2\/9, -52, 5, 1.17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9 + (-198)\/(-24))\/((-18)\/8). What is the closest to 1 in -2, -3, u, -3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15411 is divided by 164.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -7*q - 34. Suppose q*g - 460 = 10*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 58 = 4*x. Let w be 6\/10 - (-48)\/x. What is the third derivative of -7*o - 3*o**2 - 3*o**w + 7*o wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 - -492688380\nAnswer: 492688680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) 2 (c) -5 (d) -10\/3 (e) -2 (f) 62\/5 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -528, 2192?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100608 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4635538 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*w**5\/9 - 22018*w**4\/9 - 545338*w**3 - 259917878*w**2\/9 - 327499772*w\/9 - 24155968\/3 = 0. Calculate w.\nAnswer: -101, -1, -2\/7, 1776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-1260)\/(-81)))\/((-6)\/(-84)*4).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 2*c**2 - 1. Let k be 15\/21 + (-4)\/(-14). Let a be d(k). What is the third derivative of b**a + 3*b**2 + 2*b**5 - 3*b**4 + 2*b**4 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*p = 452*p + 4*a - 23, -4*p + 18*a + 27 = 19*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + b)*(2*b + 0 + 0) + (7 + 9 - 32)*(b**2 - 4*b**2 + 0*b**2) + (-27 - 11*b + 27)*(-4*b + b + 5*b)*(0 - 1 - 2).\nAnswer: 118*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/167 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - -1145?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 16. Suppose 0 + 3 = -3*n + 5*l, o*n - 4*l - 4 = 0. Let d(q) = 2*q - 1. Is d(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.1, 1\/4, -0.4, -8, -25?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 370802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 636842 and -70.\nAnswer: 636772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z**(-1\/19)\/z)*z\/(z*z**(-22)))\/((z*z**(-2\/45))\/(z\/z**(-2\/15))) assuming z is positive.\nAnswer: z**(20717\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*t + 4385, 4*h - 5*t - 662 = 2843. Let x(a) = 3*a**2 - 8*a + 18. Let p be x(-11). Let i = h - p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*s**4 + 2*s**4 - 2*s**4 - s**4 + (1 + 1 - 1)*(-2*s**4 + s**3 - s**3) + (-14*s**2 + 14*s**2 + 26*s**2)*(0*s**2 + s**2 - 2*s**2).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 27*q + 62. Let a(d) = 33*d + 58. Give 6*a(i) - 5*h(i).\nAnswer: 63*i + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1083 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -9. What is the common denominator of (-428)\/119 - 4\/g and 74\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8096422*f**3*h - 3*f**3 - f*h + 341765 wrt h.\nAnswer: 8096422*f**3 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j - 443. Let p(u) = 7*u - 5. Give p(k) - 3*y(k).\nAnswer: 7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 11. Let t be r(-7). Calculate the greatest common factor of 275 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - 10\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1)*(3*l**2 + l**2 - 3*l**2) + 4*l - 4*l - l**2 + l - 94 + 94 - 18*l**2 to the form x*l**2 + j*l + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:29 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**2*(x*x*x**(-1)*x)\/(x\/((x**(-7)\/x)\/x)) assuming x is positive.\nAnswer: x**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.2, 107\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 757*a**3 + 0 + 90*a**4 + 2*a + 2 - a**2 - 75*a**4 - 758*a**3 as h + d*a**4 + g*a + u*a**2 + x*a**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = 0. Suppose -4*j + 0 + 16 = v. Solve 4*i = -j*q - 36, 16 - 1 = -5*i + q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.3 (c) -0.06 (d) 0.056 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 523120040 to the nearest integer?\nAnswer: 22872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kurquq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 121*c - 4253. Determine w(34).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + 4 - (19 + 35 + -89)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-390)\/630)\/((-91)\/(-84)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 2, r: 2, g: 2}. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -13. Suppose v*z - 8*z + 102 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/361122 and 103\/14722.\nAnswer: 6139074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 147\/42 - (-1)\/2. Suppose -351 = -3*q - 5*n, -n + 33 = -y*q + 478. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*m + 24, 4*m = 13*f - 16*f - 4. Let j = -173\/2 + 88. Which is the nearest to j? (a) f (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) + 1) + sqrt(19) - sqrt(19)*-1*6)**2.\nAnswer: 16*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 11*i**2 + i + 9. Let p(l) = -5*l**2 - l - 4. What is 7*p(a) + 3*z(a)?\nAnswer: -2*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(117) + 1)*-2 - (-2 + sqrt(117) - sqrt(117))*-6) + 1 + sqrt(117)*-1 + sqrt(117) + 3 + -2)**2.\nAnswer: 5904*sqrt(13) + 23572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j + 3*j**2 + 2 + 2 - 2. What is the units digit of d(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -2\/5, 1972075?\nAnswer: 1972075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*y**5 - 3*y**4 + 19163*y**3 + y**2 - 87779764 wrt y.\nAnswer: 960*y**2 - 72*y + 114978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*k + 17 = -57*v + 60*v + 734*k, -5*v - 6*k + 7 + 32 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**6)\/r)\/(r*r**(-6\/11)))\/(r\/(r*r**(1\/5))*r)**(-1\/5) assuming r is positive.\nAnswer: r**(1569\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17868 - 17811. What is the third biggest value in r, -25, -1\/2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 4*r**2 - 2*r + 1. Let q(g) = -4*g**3 - 7*g**2 + 3*g - 1. Calculate -7*c(h) - 4*q(h).\nAnswer: 2*h**3 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**2 + 13250*u + 92995 = 0.\nAnswer: -7, 2657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p**4 - 714*p + 714*p + (0 + p + 0)*(-2*p**3 - 5*p + 5*p) + (-p - 2*p + 4*p)*(-3*p**3 + 0*p**3 + p**3).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -0.1. Let q = 1471 - 1467. Which is the third smallest value? (a) n (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2517?\nAnswer: -1\/2517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 + 177. Differentiate -11*d**t - 19*d**2 + 43*d**2 - 38 + 36*d**2 with respect to d.\nAnswer: 98*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -227*p**4 + 216*p**4 - 137 + 15*p**3 - 240 + 15*p**3 wrt p.\nAnswer: -44*p**3 + 90*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 91\/8, -1, 6\/11, 0.4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 111\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 67. Let t = -6 - c. Solve 3*g + 6 = t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -21*v**2. Let z(y) = 22 - 22 + y + y. Give z(g(c)).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3657374 or 3657231?\nAnswer: 3657231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 - -0.07. Let w = -0.2 - x. Let f = -8.6 + 9. Which is the second biggest value? (a) -4 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3*5)\/((-1100)\/616))\/((-3)\/(-10)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62)\/(-155) - (-56)\/10. What is the greatest common divisor of l and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 29*m**2 - 23*m + 20*m**2 + 28*m**2 + 14 - 78*m**2. What are the prime factors of x(-8)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 121.\nAnswer: -169.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 21. Let t(z) = -13*z**2. Determine m(t(f)).\nAnswer: 338*f**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2033 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-101 - -122)*(-8)\/(-14). Solve 5*m + a = -3*u, 3*m = u + 2*u - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 255 and 15.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*22\/(-990)*2\/78*885\/59\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(8\/(-128)*-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - -2*sqrt(8)\/sqrt(4)) + ((sqrt(60)\/sqrt(6))\/sqrt(5) - sqrt(2)) + sqrt(2) + 5 + (-1 + sqrt(128) - sqrt(128) - sqrt(20)\/sqrt(90)) + -1)**2 + 2.\nAnswer: 22*sqrt(2) + 341\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*w**5 + 1475*w**4 + 83*w**3 + 3274*w**2 - 4812 wrt w.\nAnswer: -300*w**2 + 35400*w + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let l be -4*(4 + 0 + -3). Let o be 3 - 4*n\/l. Solve 3*p = o*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85226210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a hour in minutes?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 72*d + 269. Let n be k(-4). Solve -31*s = -18*s + n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 - 30816*p + 59351616 = 0. What is p?\nAnswer: 3852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66 or -202\/3?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*6 + 2*sqrt(228)*6)\/(sqrt(84)\/sqrt(112) - (sqrt(12) + (sqrt(180)\/sqrt(3))\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8447.\nAnswer: 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1163.993 and 0.1.\nAnswer: 1164.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 147459 and 12.\nAnswer: 1769508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 626206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532139.\nAnswer: 41, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -22.5. Let c = -1044 - -1045. What is the closest to p in -1\/3, 4, -2\/7, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 300*o**3 - 695*o**2 + 540*o - 145. Let r(z) = 25*z**3 - 58*z**2 + 45*z - 12. Let j = 65 + -63. Let k(g) = j*d(g) - 25*r(g). Let k(s) = 0. What is s?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2\/3*a + 0 - 2\/9*a**4 + 2\/9*a**3 + 10\/9*a**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-534)\/3916)\/((-18)\/33)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 5:52 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -908865?\nAnswer: -16\/908865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5998080?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -68*((-105)\/49 - (-1771)\/1078)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 294 - 294 - g**2 - 3*g**4 - 2*g**3 + 4*g**3 in the form f*g + b*g**4 + d + t*g**3 + r*g**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4226 + p - 2088 - 2138.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21091 and 4025.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 764*a**3 - 771*a**3 - 8*a + 5*a**2 + 10*a.\nAnswer: -7*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02804 + 4.97196. What is the third smallest value in i, 0.3, 0.51?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5*813\/7317?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 13*g - 162 = -11*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*a + 27, 4*b + 3*a = 10*b - 8*b - 31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 988 or -155\/7?\nAnswer: 988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226774 to the power of 1\/2, to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -110218, -110098, -109882, -109570, -109162, -108658?\n\"Answer: 48*y**2 - 24*y - 110242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -90 + (13 - -27)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/3, 26\/7, -231, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = 0, p = 5*m - p + 18. Suppose -5 = -3*t + 2*t. Let h = t - 9. Put 3, h, m in increasing order.\nAnswer: h, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*h + 8, 5*h = -3*n + 2*h + 12. Find y such that -15*y**3 - 4*y**3 + 23*y**3 + 4*y**2 - n - 4*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4540969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*a - 22. Let p be a\/(-3) - (-39)\/9. Suppose -7885 = 2*z + g + 4*g, -p*z + 5*g - 15815 = 0. Round z to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*m**3 + 47*m**3 + 4*m**3 + 18*m**3)*(-m - 3*m + m) as j*m**4 + q*m**3 + u*m + c*m**2 + k and give j.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 2*u**2 - 3. Let b(t) = 4*t**3 + 18*t**2 + 25. Determine 2*b(w) + 18*q(w).\nAnswer: -10*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 122829036 divided by 363?\nAnswer: 338372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34390, 68786, 103182?\nAnswer: 137578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*w - 54*w - 38*w = 820 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 2. Let c(n) = 4*n + 7. Let y(v) = -4*c(v) + 14*z(v). Let g(q) = 10*q. What is y(g(b))?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4069 and 9607?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109424 is divided by 890?\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(3 + -3 - -2). Which is greater: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1788 + -1751 - ((0 - 0 - 6) + 2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + g = 178, 651 - 839 = 5*p + g + 3*g for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114035951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 868382508 by -4.\nAnswer: -217095627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/239, -0.6, 16\/3, 7, -4.\nAnswer: -4, -0.6, -7\/239, 16\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.992 - -15.8. Let o = r - -0.192. Sort 1, 5, o, 1\/6.\nAnswer: o, 1\/6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27738)\/(-81))\/(-23) - (-384)\/24.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = 2*d. Suppose d = h - 1. Suppose 4*y = 19 + 21. What is the greatest common factor of h and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s*s**13))\/s)\/s)\/(s\/(s*s**(2\/25))))\/(s*(s**(4\/9)\/s)\/s)**33 assuming s is positive.\nAnswer: s**(256\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3213403 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-344)\/40 + 9 + 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 31 = -3*y, -y - 6 = 5*u + 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -716934 times 4?\nAnswer: -2867736","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Let v = -359 + 373. Let n(i) = 64*i - v*i + 2*i. Calculate n(l(m)).\nAnswer: 156*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1 + -2 + sqrt(98) + -4 + 1 + sqrt(98) + sqrt(98) + 3*(3 + (sqrt(98) - 2*sqrt(98))*3))**2.\nAnswer: -280*sqrt(2) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1540304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0 - 4 - -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4424*-29\nAnswer: 128296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 11:16 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32124727 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-11))**(-2\/13) assuming t is positive.\nAnswer: t**(20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r - 2*r - 2*r - r**2 + 1. Let l(u) be the first derivative of -2*u**3\/3 + 5*u**2\/2 + u + 150. Calculate 3*i(k) - l(k).\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 12\/8)*-6. Let r(n) = 2*n + 4 + 3*n - 4*n. Let y(d) = -d - 3. Give c*y(k) - 2*r(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1120533 - -232?\nAnswer: -1120301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h - 8. Suppose -16 = 2*g + i, 0 = 5*g - 6*i + i + 10. What is the units digit of c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2.4. Which is the smallest value? (a) y (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11250\/13 and -866 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16\/17 + -15\/34. Which is the closest to 3\/5? (a) 0.4 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4) + 2 - (-1 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = 0, -4*a = -3*b - 5 + 1. Suppose -5 = -u + a*n, -4*u + 5 = -5*n - 4. Is 138\/4 + u\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -18.76. Let w = j + 0.24. Let b = -25 - -22. Which is greater: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from ugmzmnnmnnnuunnnnun?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 4122?\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2 = -10*j - c - 3 + 1, -3*j + 5*j + 3*c = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 967*j - 405*j**2 - 242*j - 234*j - 242*j - 249*j.\nAnswer: -405*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 337 = 3*n - 331, -9 = -2*o - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44910 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 411, 1612, 3607, 6396, 9979?\n\"Answer: 397*g**2 + 10*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.2, -3\/5, -1811?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 127949 or 127954?\nAnswer: 127954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v + 3. Let w(m) = m**3 + 3*m**2 + 3*m + 3. Let l be w(-3). Let h be j(l). Is 17 a factor of 9\/h + 53 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p - 9. Let x(u) = -u**3 + 10*u**2 - 11*u + 11. Let n be x(9). Let h be q(n). Suppose 4*r = 2*r + h. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2018, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 10 = -f + 12*n, -2*f - 5*n + 23 = 0. Suppose -4*k + 459 = f*m - 1321, 2*k = 5*m + 855. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537 greater than or equal to 8\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 = t, -3*t - 3*f = 2*f - 9. Factor -2*u**3 - 3 + 4*u**t - 6*u + 4*u**3 + 3*u**4.\nAnswer: 3*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 2*f + 0*f + (2 - 6 + 0)*(-3*f + 8*f - 3*f) + (1 + 3 - 3)*(f + 4*f + 3*f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f + 28*f + 7*f)*(2 - 4 - 1) + 2 - 2 + 2*f)*(5*f + 0*f - 3*f).\nAnswer: -194*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50091306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -11*k**5\/60 + k**4\/24 + 2*k**2 + 28*k. Calculate b(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 9*y**2 + 14*y + 5. Let f = -5095 + 5093. Let s(p) = -p**3 + 4*p**2 + 7*p + 2. Calculate f*v(a) + 5*s(a).\nAnswer: -a**3 + 2*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 15*y - 3365 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4928470*v**2 - 6008363?\nAnswer: 9856940*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 1. Let z be y(4). Suppose -f - z*n = 2*n - 27, 4*f = -3*n + 125. What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**3 + 37920*k**2 - 72123300*k + 860027760 = 0?\nAnswer: 12, 3786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -84, -145, -218, -309, -424, -569, -750?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*r + 14. Suppose -12 = t + t. Let b = r + t. Calculate the greatest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17.246 - -17.24599003. Round i to seven decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 420*o - 7240. Give a(18).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122112 - 21?\nAnswer: -10122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -6. Let r be ((-1074)\/2506)\/(0 + 1 - 0). Which is the closest to 1\/4? (a) p (b) r (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48511*b**3*n**3 + 6860*b**3 - 25287837*b**2*n**2 - 6*n**3 wrt b.\nAnswer: 291066*n**3 + 41160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**2 + 32*r**2 + 14985 - 31*r**2 - 14985 - 33*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 2*p + 72. Does 24 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1))\/n)**(-8)\/(((((n*n*n\/(n*n**(-4)))\/n)\/n)\/n)\/(n\/(n\/(n\/((n*n**(-3\/5)\/n)\/n)))))*(n**(-4)\/(n\/(n**(-1\/4)*n*n)))**(4\/23) assuming n is positive.\nAnswer: n**(-1031\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4807 != -14420\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16606965?\nAnswer: 3, 5, 593, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -807 or -823?\nAnswer: -807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*a + 107*a - 3. Are 1\/234 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1282720*a**4 - 16*a**2 - 1281350*a**4 + 0*a**3 - 1 - 137*a + a**3 wrt a.\nAnswer: 32880*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 3 (b) 0 (c) -13 (d) -0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838752.\nAnswer: 2, 3, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/669 or -1?\nAnswer: -1\/669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + (-2 - 2) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71.27 - -67.27. Which is the smallest value? (a) 0 (b) y (c) -3 (d) 105\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 + 0)*(-27*u + 79*u - 36*u) + (0*u + 2*u - 3*u)*(2 - 2 + 2).\nAnswer: 158*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 96*p**3 + 688*p**2 + 75*p + 1. Calculate r(-7).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 89. Let i = -6 + 6. What is the closest to -1\/3 in 0.5, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6267071341 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y - 8. Let i be u(8). Let v = i + -7. Let q be v*-3 - (0 - 0). Put -1, 2, q in descending order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(170)\/sqrt(10) + -5 + -3.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/59595744 and 65\/143259.\nAnswer: 59595744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from cccccccjjcgnnccjjjig?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/29)*(x*(x\/(x\/(x*x\/(x\/(x**(-3)*x)*x))))\/x)\/x)\/((x**(-3)*x)\/((x*x*x**(2\/23))\/x)))**(-10\/3) assuming x is positive.\nAnswer: x**(-7480\/2001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g + 12*g + 5*g + 1 + 0*g to l*g + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 5. Let t be (8\/(-6))\/q*-3. Suppose -32 = -4*w - 4*m, -2*w - m = -5*m - t. Calculate the least common multiple of w and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 8392*p**2 + 25204*p - 16808.\nAnswer: -4*(p - 2)*(p - 1)*(p + 2101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20905 + 10457 - 1368*g**2 + 10448.\nAnswer: -1368*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:14 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 0.18 (c) 22 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2941*n*s - n + 2*s + 625 wrt s?\nAnswer: 2941*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 44. What are the prime factors of (2\/d)\/(-1)*1728\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20056 in -1\/4, -19, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20134 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 31\/(-11))\/(1 - 0). Which is greater: m or -46\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 - 3*n**2 - 3*n + 4. Let u(o) = -o**3 + o**2 + o - 1. Let v(t) = -i(t) - 3*u(t). What is v(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -10, -55, -152, -319?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:32 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647\/12 + 2\/(-8).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {q: 2, p: 4, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 27*g**2 + 20*g + 195. Give u(28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2104 + -2083. Calculate the remainder when 171 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55817, -53270, -50723?\n\"Answer: 2547*t - 58364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 156408 (b) -0.1 (c) -7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 22, 2\/2629, 42?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -28, -43, -58?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3179 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -553 - -557. Suppose 8 = 8*o - k*o, 0 = -3*x + 4*o - 50. Let b(w) = w**2 + 14*w - 19. Determine b(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2565, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 0*v**5 + v**5 + (8*v**3 + v**2 - v**2)*(v**2 + 1 - 1).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 523 + 523. Let o(x) = -4*x. Give 6*n(j) - o(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2183 + -2.99803. Let y = -0.22 + m. Round y to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 18. Let x = -314\/9 - -3149\/90. Which is the smallest value? (a) k (b) x (c) 5 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*3\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 7*o**2 + o + 6. Let y = 14 - 21. Give a(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2611075467 to the nearest integer?\nAnswer: 51099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from bxxwcbbcbwucbbh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 6 = 0. Let j(n) = -5 + i*n**2 + 5. Let d(g) be the second derivative of 23*g**4\/12 - 5326*g. Determine j(d(c)).\nAnswer: 1058*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 326693173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*j + 7. Suppose 42*v - 44*v + 42 = j. Suppose -v*n = -15*n - 558. List the prime factors of n.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + sqrt(325))*2 - (-1*sqrt(325) + 4)) - (-4 + -2 + sqrt(325) + sqrt(325) + (sqrt(325) + sqrt(325) + 0)*-5)**2.\nAnswer: -20844 - 465*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 963.1 + -964. Put -1, -3, 4, b in descending order.\nAnswer: 4, b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9*d**(-2\/7))\/(d\/(((d*d**(-1\/7))\/d*d*d)\/d)*d*d**(-1\/7)))**22 assuming d is positive.\nAnswer: d**(1188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -111) + 14\/7. Let k be l\/6 - (-4)\/(-6). Suppose x - k = 2*r + 7, -r = -2*x + 38. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1729 - 128*o + 37*o - 1313 + 49*o + 39*o as p + b*o and give p.\nAnswer: -3042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258551, -258564, -258587, -258626, -258687, -258776?\nAnswer: -258899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11710308?\nAnswer: 2, 3, 19, 51361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 162*k + 26 - 9 in the form c + a*k and give a.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*d - 13081 - 22813, -3*a + 26907 = -3*d. Let r = a + -197429\/22. What is the common denominator of -83\/10 and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 4*j**2 + 87346 + 3*j**2 - 87328 in the form o + l*j**2 + a*j + m*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162250723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-6))\/((-1)\/(-12)). Let u(z) = -26*z + 12. Let w(t) = -2. Let n(y) = k*w(y) - u(y). Differentiate n(s) with respect to s.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r + 1. Let f(b) = 28*b - 3. Let j be (-138)\/(-8) - (5 - 57\/12). Let m(w) = j*h(w) + 6*f(w). What is m(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1637 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(450\/27))\/((-3672)\/(-720)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4946728 millilitres?\nAnswer: 0.0004946728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times 0.6?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.2, -23, -4, -62.7 in increasing order.\nAnswer: -62.7, -23, -4, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 106398\/10212 + (-5 - 75\/(-10))\/5\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*i + 6. Let r = 1 - i. Put r, -4, -5 in increasing order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13239 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 1, p: 4, i: 1, x: 2}. What is prob of sequence ppq?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1 + 2*x**2 + 2 - 4*x - 5*x**2 - 2*x**2. Let k(b) be the second derivative of 0 + 7\/4*b**4 - 13\/2*b**2 + 17\/6*b**3 - 36*b. Determine 2*k(a) + 9*t(a).\nAnswer: -3*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 569 (b) -2\/9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 88199 and 28.825?\nAnswer: 88170.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1028163843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3018 + 733. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -555*c + 12758. Calculate m(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*i**3*k + 43*f**2*k**2 - 3*f**2*k - 20*f*i**3*k**2 + 4*f - 2*i**3*k**2 - 2*i**3*k wrt k.\nAnswer: 86*f**2 - 40*f*i**3 - 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 6*f + 4. Suppose -f*k = -k - 9. Suppose 0 = -2*u + 13 - k, 5*m - 425 = 3*u. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuulllulluulu?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 15*f**4\/4 + 2*f**2. Calculate the remainder when x(3) is divided by 164606\/10227 + -1*2\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 q when three letters picked without replacement from zzzqzzzqqqz.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2 + 179*u - 1575. What is y(9)?\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 115.9737 weeks?\nAnswer: 70140893760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by 104?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1309 = -6*n + 11635, 2*n - 4312 = o. What are the prime factors of n?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147 times 45?\nAnswer: 186615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*y + 2*y - 22, 0 = -2*y + d - 18. Let s(h) = -h**3 - 8*h**2 + h + 1. What is s(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58, 116, 174, 232?\n\"Answer: 58*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18134999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -87. What is the remainder when (-10016)\/(-56) - (-15)\/105 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*j**4 + 108*j**3*y**2 - 5*j*y**2 + 1077*y**2 wrt j.\nAnswer: 312*j**2 + 648*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 1 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5616 divide 180283265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.2. Let q(p) = -6*p**3 - p**2. Let i be q(-1). Suppose -3*n = -5*h + 2, -3*n + 4*h - 6 = -i*n. What is the closest to -1 in n, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -635.529 times 1.1?\nAnswer: -699.0819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 216. What is the common denominator of (18\/w)\/(66\/32 + -2) and (392\/(-44))\/2 + 1?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2274 and 2497989?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 29?\nAnswer: -5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*8 - (36\/21)\/((-2)\/(-7)). Let f(w) = w**2 + 4*w. Let l be f(-5). Suppose 3*y + l*g + 3 = y, -2 = -y + g. Solve 3 = -v*b - y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**5\/7 - 16*p**4\/7 - 4*p**3 + 40*p**2\/7 = 0 for p.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/1540*36)\/(6\/410).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 499.\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 518979552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/10961, -0.3, 3\/5, -5, -2\/25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -994 or 15718?\nAnswer: -994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*(-3)\/((-15)\/17). Suppose -15*b - 4 = -g*b. Solve 4*z - 2*z - 5*h + 10 = 0, -b*z - h - 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -919044 by 36.\nAnswer: -25529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y**2 + 27*y + 65. Determine h(-10).\nAnswer: 795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/30*8*30*14\/280.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 2. Let f be p(-5). Let i = -11 + f. Let v = -6 - i. Is -1 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2146 + -1320. Calculate the remainder when n is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 521\/7294*21\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7102673?\nAnswer: 1663, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -60, -4, -7, 9, 5 in decreasing order.\nAnswer: 9, 7, 5, -4, -7, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 + 248 = -4*h - 4*y, 8 = 2*h - 3*y. Calculate the greatest common divisor of 479 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-272)\/(-96) - (-8)\/48?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -11 (b) 0.8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/5 - 9516*z**3 + 282744048*z**2\/5 + 566211520*z + 1359456000 = 0 for z.\nAnswer: -6, -4, 11900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = -6. Let g be (-6)\/14 + (-279)\/(-63). Let x be (-1)\/((-27)\/(-6) - g). Sort s, -1, x in decreasing order.\nAnswer: s, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.72 + -0.28. What is the third biggest value in -5, 1\/3, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 3219*a**2 - 11265*a + 41939. Determine u(-1613).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**3 - 397975*a**2 - a - 69188529?\nAnswer: -15*a**2 - 795950*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.35308032 rounded to 2 dps?\nAnswer: 46.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i + 4*i**2 + 166 - 2*i**2 - 37*i - 167 - 63*i.\nAnswer: 2*i**2 - 74*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + w**2 + w + 1. Let o(g) = -7*g**3 + 13*g**2 + 16*g - 5. Let y(u) = 6*i(u) - o(u). Let m be (118 + -114)\/((-1)\/(-2)). Give y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 6. Let y be n(-5). Let l(c) = -2*c + 4. Let i be l(y). What is the units digit of i\/(-7)*14\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40674 - -324967\/8. Let m = -53 - i. Which is the nearest to -0.2? (a) 1\/3 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 11. Let p be j(-9). Which is greater: -6 or p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, -31, -46, -61, -76?\n\"Answer: -15*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5852, 11623, 17316, 22931, 28468?\nAnswer: 33927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 49873185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1 + -1 + -1). Let c(w) = -6*w + 3*w + 2*w + 9. Is 9 a factor of c(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*b = 8, 2*b + 1 - 6 = -3*v. Let h = 2 + v. Suppose 2*y - k = 25, -5*k - 64 = -5*y - 2*k. Solve -h + y = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47.6739 and 43?\nAnswer: 2049.9777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - (-18)\/60*34\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/24 - (-60)\/200?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 456. Let d = m + -385.9. What is the nearest to -1\/10 in d, 4\/5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2. Let u(m) = -1493*m + 42. Determine u(l(s)).\nAnswer: -5972*s**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 322)\/1 - 3. Suppose -5*p = -p - f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2486 and -83\/73224.\nAnswer: 805464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 1:52 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p - 1. What is the units digit of u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 4. What is the remainder when 226 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4816*2\nAnswer: -0.9632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwbhpywwtbyh. What is prob of sequence yw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 6:37 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*-809\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36667 + -3?\nAnswer: 36664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 43 + 13. Suppose 5*y = 5*t - 215, y = -4*t + 42 + 120. What is the remainder when t is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2541)\/605 + ((-1)\/2 - 21\/(-30))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - u**2 - 4*u**2 + (2*u - 5*u + 2*u)*(3*u + u - 3*u) - 2*u**2 + 2*u**2 - 2*u**2 + (-150 + 52*u + 150)*(5*u - u + 4*u).\nAnswer: 412*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 6*u**2 + 11*u + 7. Let n(q) = 2*q**3 - 13*q**2 + 24*q + 15. Let k(i) = 13*b(i) - 6*n(i). Let v be (-1 - -1)*1\/2. Calculate k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50 + 189*m**2 - 396 + 1955 + 504 + 4*m - 3*m - 12*m**3 with respect to m.\nAnswer: -36*m**2 + 378*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 230*a**5 + 47*a**3 + 12*a**4 - 34*a**2 - 36*a + 224*a**5 + 40 - 453*a**5 - 30*a**3.\nAnswer: (a - 1)**2*(a + 2)**2*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29999 is divided by 270?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:57 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 411 - 69*p**4 + 87*p**4 - 42*p**4 + 159*p**4 wrt p.\nAnswer: 540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68419788.\nAnswer: 2, 3, 5701649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*i - 95*i + 4*k = 304, -18*i + 5*k = -20*i - 97 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-2)*8*(-13)\/520\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*m + 2*m = 0, m = 4*z. Suppose -2*w + 10 = z, -4*u + w = 2*w + 11. Which is bigger: -10\/3 or u?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240700.95 nanoseconds in days?\nAnswer: 0.000000002785890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2\/5 - 136*l + 676\/5 = 0. What is l?\nAnswer: 1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 43 = -2*m + 51, 5*m = 2*k - 73. Let w = k - 25. Let x = w - 1. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233311648 and 3936.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/7 - 1092\/(-98). Let j(m) be the first derivative of -2*m**5 - 2*m**5 - m**5 + p - 2*m**5 + 16*m. Find the first derivative of j(n) wrt n.\nAnswer: -140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 29 + 9. Suppose m = -3*j + 43. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14716717 (base 9) to base 2.\nAnswer: 11011111110011011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwmlllnfglgn. What is prob of sequence ngmw?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5265 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55267 times 0.054?\nAnswer: -2984.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*d, 0 = 2*m - 3*d + 6*d + 3546. Let p = m + 2549. Suppose -3*j + 2*u = -p, 2*j - 2*u - 510 = -0*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*t + 76 + 228 = 18*t. Put -1, t, -123, 1 in ascending order.\nAnswer: -123, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34259070 + -56418016. Let g = -22158863.000057 - a. Let o = 83 - g. What is o rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 42 - 14586 + 726 = 0. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 1, 0.4, -1\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/801 - 15965\/8811. Let q = n - -193\/88. Which is the nearest to -0.1? (a) 3\/2 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + (1 - 4\/(-16)). Factor -f - z*f**2 - 1.\nAnswer: -(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6082 rounded to 2 decimal places?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/6 - 28*a**3\/3 - 109*a**2\/6 - 9*a.\nAnswer: -a*(a + 1)**2*(a + 54)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*m + 1. Is 255\/3 - (3 + m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3014 (base 7) to base 16\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 47*b. Let a(n) = -5*n**2 - 2 + 4*n**2 + 2. Give a(j(l)).\nAnswer: -2209*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*74\/(-111)*(-24)\/(-212).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1349 - 459 = -436*a - 418. Sort 52, a, 3, -1 in decreasing order.\nAnswer: 52, 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111011000100110100 (base 2) to base 7\nAnswer: -2025313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-165))\/(36\/66))\/(2\/(-108)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -795 by -5.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 646 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63600990.\nAnswer: 2, 3, 5, 271, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -128, 4, 55?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 1. Let p(c) = 7*c**2 + 7 + 27*c - 28*c + c**2. What is 2*p(b) + 14*q(b)?\nAnswer: 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/92 and 97\/20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48445897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17562 and 10566.\nAnswer: 30926682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -3*a**4\/2 + 21*a**3 - 3*a**2 - 12*a - 2. List the prime factors of x(10).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w + 340 = 2*u, 0 = 5*u - 10. Suppose i = 5*i - w. Let j = -26 + i. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g + 1. Let z(q) = 23*q**3 + 11*q**2 - 9*q + 3. Let r(k) = 5*h(k) + z(k). Let p be r(4). Let i = -1067 + p. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 2, c: 4, t: 5, o: 2}. What is prob of picking 1 p, 1 t, and 1 o?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f + 3. Let b be h(6). Suppose 3*p - 61 = t, -2*t - 67 = -5*p + b. Calculate the least common multiple of p and (-6)\/15*(-1 - 4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150100096 divided by 9381256.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 16. Let f(p) = -41000*p**3 - 2 + 2. Let o be f(s). What is o rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + 5*y**3 - 3*y**3 - y**3 + 5 - 5*y. What are the prime factors of m(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6110185 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: Find the common denominator of -137\/114 and -157\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 8*l**5 + 192*l**4 - 1558*l**3 - 3618*l**2 - 2356*l - 480 = 0.\nAnswer: -30, -1, -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 + 5*w + 0*w**2 + 2*w**2)*(-9 + w + 9)*(-1 + 1 + 2) in the form b*w + l*w**3 + a*w**2 + m and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*s + 30*s + 6*q + 60 - 76, 2*s + 7 = -3*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (91\/7*1)\/((-1)\/(-1)). Suppose 0 = -3*x - 3, 8 = 3*n - 3*x - d. Suppose -6 + n = -7*f. Solve -2*c + f*u + 2 = 5*u, -4*c - 3*u = 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 2:25 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2\/(-14)*3 + 421602\/14 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46337332271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 4\/9 (c) 0 (d) -2.9 (e) 194 (f) -0.051 (g) 0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-14)*(-126)\/12. Suppose -a = -4 - n. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 9. Let z(u) = -u. Calculate -l(n) - 6*z(n).\nAnswer: 4*n + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -554 + 553. Put -0.13, -4\/5, l, 4 in descending order.\nAnswer: 4, -0.13, -4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2861 divided by 130\nAnswer: 2861\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 4428?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -4*b + 20. List the prime factors of 19166\/126 - b\/(-18).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 6*z - 4. Let n be k(-5). Let y = 1 - n. Let r = 0.11506 - 0.11506. What is the closest to y in 0.2, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17653.1 + 17653. What is the closest to -3\/565 in -4, 2, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*s = 26, 2*u + 2*s + 7 = -7. Let t = 8 + u. Solve -t*v = -6*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -998066 divided by 77?\nAnswer: -998066\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-four fifths of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*d + 48681 - 15114. Which is smaller: -499 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-350)\/32 - -4) + 4 and 17\/38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 957841621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l - 7 = -4*h, -4*h = 5*l - 57. Suppose -3*y + 4 = -h. Suppose 2*t + 8 = y*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2 + 3*l + 2. Let x be z(-1). Let m(g) = -61*g**3 - 7*g - 12. Let v(w) = 20*w**3 + 2*w + 4. Let r(d) = x*v(d) + 2*m(d). Differentiate r(n) wrt n.\nAnswer: 54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43\/2 (b) 187\/6 (c) -3 (d) -26\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1675907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 0, 355815 in decreasing order.\nAnswer: 355815, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(5\/2)*a)\/(a*a\/(a*a**(1\/5)*a)*a))\/(a**1\/a)**(-46))**(-2\/49) assuming a is positive.\nAnswer: a**(-27\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/3 - 7224\/3528. Which is the third smallest value? (a) m (b) 0.07 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -898690*g. Let u(z) = -z. Determine u(n(a)).\nAnswer: 898690*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 4*i + 58, -3*x + 4*i + 46 = 163 for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 3*a + 1. Suppose 8*n - 2 = 9*n. Let v be r(n). Is -5\/3 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d. Let x(r) = -134*r**2. Calculate b(x(f)).\nAnswer: -1876*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(171) - (sqrt(171)*1)\/sqrt(9).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10421*y. Let a(c) = -720*c + 4. Give a(z(h)).\nAnswer: -7503120*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 49*j**3 + 4*j**2 - 27*j - 3. Let a(d) = -48*d**3 - 5*d**2 + 27*d + 4. Let c(g) = -3*a(g) - 4*f(g). What is the third derivative of c(u) wrt u?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*h**3 - h**2 + 95 wrt h.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -10. Calculate the least common multiple of (m\/3)\/(7\/210) and 3*(9\/(81\/(-6)) - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 362, 746, 1210, 1712?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i + 12. Suppose 8 = -i*o + 4*o. Let x = 0 + 4. What is the least common multiple of o and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/6413 + 595719\/1474990. Calculate the common denominator of 45\/322 and k.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)\/a**(-8\/3))\/((a**(-1\/12)*a)\/a**(-2\/51)))**39 assuming a is positive.\nAnswer: a**(-14027\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720 greater than 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/90*15057\/(-9560).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - f - 2 = 0, -10 = 2*k - 4*f. Suppose 7 = c - 5*m + 3, -5*c + k*m = -108. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (9 + -6)\/12*1108?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r + 1 - 3*r + 2*r with respect to r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 8*j + 4. Let f = 32 + -42. Let t be f - -5 - (-13 - 0). What is s(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284345?\nAnswer: 5, 29, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.06 (b) 0.2 (c) -3\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/3))\/k*k*k**(-2\/3))**(33\/7))**15 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from llgeevpww.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 11. Let q = 5 - 0. Let w be n(q). Suppose k - 14 = -w. Calculate the lowest common multiple of 14 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/18 + 4\/(-18). Suppose l = -5*m + 14 + 1. What is the third derivative of -j**m + 2*j**3 + j**2 - j**4 - j**3 wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 39.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*d**3 - 1585*d**3 + 529*d**3 + 528*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 101*i - 25. Determine s(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000338 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -196368337 and -10527.\nAnswer: -196378864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26479\/70 + -1861\/5. Find the common denominator of t and -45\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 12*n - 12. Calculate k(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 15*i**2 - 4*i + 10. Let x be 41*3 + 3 + -4. Calculate the remainder when (-1 - -4 - 2)*x is divided by m(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 17*t**2 + 2*t - 23. Let j be y(17). Suppose 0 = 8*w - j*w + 12. Solve -w*q - 1 + 13 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -360.10763.\nAnswer: -359.10763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 480 = 9*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j - 7. Give w(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:36 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 3626 + ((-60)\/5 - -22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*h - 160*h - 146*h - 54*h - 99*h)*(-14 + 11 + 7).\nAnswer: -1432*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15780*p - 15844*p + 31629*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + l - 4. Let m(r) = r. Let v be m(3). Let p(s) = s**2 - 3. Let b(q) = v*p(q) - 2*c(q). Solve b(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142279600.\nAnswer: 2, 5, 7, 11, 37087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**(-19))**7\/(l*l**(6\/11)\/l*l**(3\/7)*l**(-7)*l**(-6)*l) assuming l is positive.\nAnswer: l**(-17935\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55104 = -1077*r - 456*r - 27368 + 16553 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -22, -2, 1, 11 in decreasing order.\nAnswer: 11, 1, -2, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-4176)\/29)\/24)\/((-20)\/190)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*q**4 - 356*q?\nAnswer: 1356*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 3\/((-1827)\/(-19517)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - 54. Suppose -9*o = v*o - 240. Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n*(n*(n**0*n*n)\/n)\/n*n))))**(7\/9)*n**(-3)*n\/(n\/(n*n**(3\/10)*n)))\/((n\/(n*n**(2\/3)))**(5\/13)\/(n**2*n)**49) assuming n is positive.\nAnswer: n**(169651\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77108913?\nAnswer: 3, 7, 397, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 - 219. Does 8 divide 4\/v + (-1)\/((-10)\/164)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 10*g - 9. Let r be j(4). Let h(d) = -d**2 - d + 1. Let b(n) = -n**2 + 2*n**2 - 2 + 1 - n. Determine r*b(l) + h(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3680 - 3688. Let z = -0.29 - 0.01. What is the nearest to -1\/2 in z, -0.4, x, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (7 - (2 + 1 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-12))\/(-3 - 220\/24). Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/6 + 10044646*l + 151342369897974 = 0.\nAnswer: -30133938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/20*485\/2 and 3\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10318 greater than or equal to -10319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*1\/(-14) + 0. Let h = -64.3 + 29.3. Let u = h + 35.3. What is the third smallest value in u, r, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21102120210111 - 1?\nAnswer: 21102120210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 482.17 * -1.15.\nAnswer: -554.4955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n - 440 = 21*n. Calculate the greatest common divisor of n and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**2 - 8*u**4 - 7*u**2)*(1 + 3*u - 1)*(0 - 1 + 2).\nAnswer: -24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, m: 7}. What is prob of sequence fff?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/((-50)\/(-104)))\/(795732\/28420 - 28).\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188340328.\nAnswer: 2, 11, 2140231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 684029880*g - 38991406394401200.\nAnswer: -3*(g + 114004980)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b - 15. Let w be t(6). Let m be 19\/3 - (w\/(-9) - 5). Let g(d) = 2*d - 2. Give g(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0 - sqrt(153)*1)*-6.\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1799, 6, 0.67?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**4\/3 + 36*c**3 - 306*c**2 - 2*c + 183. Let j(n) = 0. What is n?\nAnswer: 3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196623*n - 6*n**2 + 4*n**2 + 0*n**2 + 196623*n + 2*n**2 - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i - 22. Let r(y) = -7*y + 14. Let s(k) = -6*l(k) - 11*r(k). Determine s(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 g when three letters picked without replacement from elgbolgkgkggblbbgleg.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 + x + 7. Calculate n(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.94 + 8. Let n = 0.04 + u. Suppose 0 = -4*c - 2*m - 10, 0*c = 2*c - 4*m. Is n < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-5*6 + sqrt(136))\/(sqrt(8) + (sqrt(32)*3)\/sqrt(4)).\nAnswer: -29*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*4\/(-6) - -15. Suppose 0*q - 11235 = -s*q. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-4 - (-1 + 0)). Let k(v) = -v + 4. Let u be k(q). Suppose 3*p + u*p = 0. Let b(a) = a + 8. Determine b(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4435 = -2*o - c, 12*o - 6655 = 15*o + 4*c. Let a = 2221 + o. Factor 1\/2*k**a - 1\/2*k + 0 + 3\/2*k**2 - 3\/2*k**3.\nAnswer: k*(k - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8542 and -8542 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -32\/3*l**2 + 59\/60*l**5 - 59*l - 2\/45*l**6 + 0 - 152\/9*l**3 - 59\/12*l**4. Determine n so that o(n) = 0.\nAnswer: -1, -1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 124*l + 256. Calculate r(39).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2929178 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796328?\nAnswer: 2, 3, 61, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7*50\/910)\/5\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 652 + -2?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4956937817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 24*d**2 + 3*d + 4. What is the remainder when m(-5) is divided by (-3034)\/(-205) + (-60)\/(-350)*7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*t - 31*t - 103*t)*(-2 + t**2 + 2).\nAnswer: -103*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -423086775+-1985\nAnswer: -423088760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 10. Let v be o(-7). Suppose 5*r + 105 = v*w, -w + 14 = 2*r + 4. Factor -z**2 - 9 + 6*z**2 + 0*z + w*z + 24.\nAnswer: 5*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -6420?\nAnswer: -2\/1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33531492.2 rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 1. Let k be j(-2). Let b = 76 + -55. Suppose -6 = 20*u - b*u. Solve -2*d + 4*z - u = 0, k*z - z = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1\/6, 0.5, -51, 0.1, -3, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - b - 36 - 463.\nAnswer: -b - 606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.216 rounded to 1 dp?\nAnswer: 48.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -500. Let p = d + -75. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587045110?\nAnswer: 2, 5, 58704511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -535515, -535526, -535537, -535548, -535559, -535570?\n\"Answer: -11*s - 535504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -26429*i + 52807. Determine g(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 232283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 4825610\nAnswer: 1\/2412805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 288 and 0.0029?\nAnswer: 0.8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q. Let k(o) = -54*o - 8. Let c(a) = 605*a + 90. Let d(j) = 4*c(j) + 45*k(j). Calculate d(v) - 3*l(v).\nAnswer: 3*v**2 - 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29181?\nAnswer: 3, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*t = -c - 15, -4*c + 20 = 3*t. Let g(b) = 6 + c*b - 7*b - 3 + 0*b + 0. What is g(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -464, -1915, -4342, -7751, -12148, -17539, -23930?\n\"Answer: -t**3 - 482*t**2 + 2*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2) - (1 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 0*l + 1 - 1\/2*l**2. Determine a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -93379\/12 (b) 5 (c) 1\/11 (d) -2 (e) -1 (f) 4 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3354.418 grams in micrograms?\nAnswer: 3354418000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 42 = 48 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*k**2 + 21*k + 12.\nAnswer: 3*(k + 1)*(3*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*b**3 - b**3 + 4*b**3 + (-2*b - b + 5*b)*(-5*b**2 + 3*b**2 + b**2) + 150 - 150 + 13*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-919)\/(-2)*20\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/33)\/(7\/6). Let p = -1 - -6. Which is the fourth smallest value? (a) p (b) -2 (c) 1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44, -80, -118, -158, -200, -244, -290?\n\"Answer: -i**2 - 33*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2136)\/(-16))\/((-24)\/(-64)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 8 - (-12 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 486 + -483. Let v be 2\/(-5) + (-6)\/(-15). Suppose -3*n + 9 = -v*n. Solve -n*u + 6 = l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232449038 to the nearest integer?\nAnswer: 15246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:53 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 78602, 4, 1, -1, 0 in increasing order.\nAnswer: -1, 0, 1, 4, 78602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.11 and -3697259.52.\nAnswer: -3697259.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 35 = -3*b. Let i be 8\/(-2) + 15\/b. List the prime factors of (-2 - i)\/((-4)\/108).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 3 + 0 - 1 + 5*x**2 to g + s*x**2 + z*x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/((-780)\/(-200))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (52\/10)\/(24375\/(-234375))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 53?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -191 - -190.5. What is the smallest value in -12, -1\/7, i?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4804372902769 and 0.1.\nAnswer: -4804372902768.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10496 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41827, 41175, 40081, 38539, 36543, 34087, 31165?\n\"Answer: -n**3 - 215*n**2 + 42043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851916721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 8 - 8)*(48*w + 5938 - 5938) to the form v*w + s and give v.\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus -0.014?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*c - 3260 = 0, -138*z + 4*c = -141*z + 3251. Is 1085 != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489332171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 7:12 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527882207*c**5 + 121471412*c + 6?\nAnswer: -10557644140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185424658 to the power of 1\/2, to the nearest integer?\nAnswer: 13617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103962.\nAnswer: 2, 3, 17327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 8)\/(-4)*(-22)\/(-4). What is the nearest to 1\/6 in b, 1\/5, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)*2*-5 + sqrt(30)\/(sqrt(2)*1))*5)\/(1*(sqrt(3) - (sqrt(3) + (3*sqrt(3) - sqrt(3) - sqrt(3)))) + sqrt(363)*-2) + 5.\nAnswer: 45*sqrt(5)\/23 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m + 28. Give w(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = -34*m + 12*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*b**3 + 38\/7*b + 16\/7*b**2 + 24\/7.\nAnswer: 2*(b + 1)*(b + 3)*(b + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31880 and 28692?\nAnswer: 286920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i**2 + 7 + 26*i**2 + 0*i + 0*i**2 + 15*i. Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-193*s + 4633 - 4633)*(31 - 15 - 12) to the form d*s + z and give d.\nAnswer: -772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 46*x - 12. Let w(r) = 185*r - 50. What is 25*t(z) - 6*w(z)?\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3 - 0. Let b be -8 - 2*1\/((-8)\/12). Sort s, 2, b, -19 in increasing order.\nAnswer: -19, b, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2610, -2675, -2776, -2907, -3062, -3235?\n\"Answer: k**3 - 24*k**2 - 2587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 59*l**2 - 172*l - 2262. What are the prime factors of t(-17)?\nAnswer: 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -1147, -2581, -4589, -7171, -10327, -14057?\nAnswer: -18361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 - 0.4. Let a = 463 + -464.968. Let y = a - d. Round y to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.74, 22\/9, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) + 81\/63 - 1. Suppose d = -24*b + 197 + 259. What is the greatest common factor of 38 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248131737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + r - 2*l - 2, -l - 3 = -2*r. Suppose 3*m - r = 29. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.08, 3\/8, 1, -2\/185.\nAnswer: -12, -0.08, -2\/185, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (9 - (3 + 5) - (-13 + 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (16 + -4)) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.72 - -0.02. Let c = -2.3 - a. What is the nearest to 1\/4 in -0.4, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256 by 45596.\nAnswer: -64\/11399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(sqrt(300) + sqrt(12)) + sqrt(12)))**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (162\/567)\/((-2)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let r(a) = -148*a + 9. Let z(j) = -37*j + 2. Let g(p) = 4*r(p) - 18*z(p). What is g(l(n))?\nAnswer: -74*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154792967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asaasxaasaxa. What is prob of picking 1 s and 1 a?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/28 + 4\/(-35). Which is the closest to 0? (a) n (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from fvvvvvvvfvvnvvvvv.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - -3*sqrt(864))\/(sqrt(36)\/(sqrt(768) - sqrt(12))).\nAnswer: 259*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, 171, 928, 1961, 3270?\nAnswer: 4855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -546108.1365 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*d, -x = -0*x - 4*d. Suppose f - 3*f - 60 = x. Let u be ((-3)\/2)\/(9\/f). Let j(t) = -t**2 + 4*t - 2. Give j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1553378403?\nAnswer: 3, 517792801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 322, 496, 686, 898?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 30 - 0. Let d = 10 - l. Suppose -z = d*w, 0*z + 5*w = 3*z - 68. Calculate the highest common factor of z and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(2 + 4 + 3 + 5 + (-3 + sqrt(175))*-4))**2.\nAnswer: -25400*sqrt(7) + 86129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:13 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4689 (b) -448.9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702281 is divided by 3040?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3438200 to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240254116?\nAnswer: 2, 3701, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 - w + 1. Let s be x(-7). Let j = s - 4. Solve -b = t + j, -4*b = -t - 0 + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28221541 minus 172.89?\nAnswer: -28221713.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1. Let q(f) = -4*f + 6. Let v(p) = -p**2 + 12*p + 1. Let l be v(12). Let x(h) = l*q(h) + 6*u(h). Let a = -4 + 3. Determine x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and (-1 - 0) + 10\/(30\/9).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136649 divided by -3.\nAnswer: -136649\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2532 divided by 6\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 16 + 3*i**2 + 8. Let j be t(0). Let n = 0.437 - 0.037. Put -1, j, n in decreasing order.\nAnswer: n, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/5 + 663*b\/5 - 95526 = 0. What is b?\nAnswer: -1098, 435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-2))\/(6\/4). What is the nearest to -0.1 in m, 51\/10, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 291 + 292. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.38 - 801.38. Let y = n + 787.0000363. Round y to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*v - 12. Let o be (v + 1)\/((-2)\/3). What is the greatest common divisor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q - 137. Calculate l(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + 283?\nAnswer: 282.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 34. Is q bigger than -3\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 260?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15294*v*y**3 + 2*v*y + v - 3*y - 706 wrt y?\nAnswer: -91764*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960*m + 755*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {n: 5, e: 5, m: 3, h: 2}.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-7)*m\/m**7)**(-15))**35 assuming m is positive.\nAnswer: m**(-1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67 - 34. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771*z - 675*z + 366*z + 5*z**3 - 7*z**3.\nAnswer: -2*z**3 - 1080*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12191*l. Let u(s) = -4*s**2 + 12*s. Give x(u(j)).\nAnswer: -48764*j**2 + 146292*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 142608222557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(432) + 1 + -1.\nAnswer: -2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/61, -56, 0.1, -56\/67, 5?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*n + 32, 458*n - 460*n + 5 = -d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/28 - 86\/7. Suppose -3*q + 116 = -9*i + 4*i, 2*i + 168 = 5*q. What are the prime factors of (-18)\/a*q\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*j*r**3 + 56691*j*r**2 - 458083*j - 3*r**3 - r**2 - r - 54 wrt r?\nAnswer: -516*j*r + 113382*j - 18*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g - 35 = 0. Suppose 2 - g = -5*r. What is the highest common divisor of r and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*c = -3*r - 43, 3*r + 3*c + 27 = 0. Is 11 a factor of (2\/1)\/((-1)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 0. Let k(m) be the second derivative of 0*m**2 - s*m + 2\/39*m**4 + 0 + 1\/273*m**7 + 3\/65*m**5 + 1\/39*m**3 + 4\/195*m**6. Factor k(c).\nAnswer: 2*c*(c + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23 + 0 + (-4)\/(-2) + -2. Suppose 0 = -5*w + 62 + a. Solve -4*g + 3*z - w = 0, 4*g + 2*z = 14 - 36 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 61*b - 2 + 4 - 58*b - b**2. Let a be f(3). Suppose -2*t + 4*v = -30, 5*t - 75 = 3*v + a*v. Solve 5*o + 5 = -t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/10 + -2)\/(18\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6470061 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 245?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7524 or 7488?\nAnswer: 7524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -2, -1.\nAnswer: -9, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/12 - 7*r**3\/6 - 5*r. Determine v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 761*l**2\/2 + 1529*l\/4 - 4569\/2.\nAnswer: -(l - 1523)*(l - 2)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/164554801 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130 = 25*i - 1295. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 18 = 12*n - 2*q, 0 = 4*n + 2*q. Let l(c) be the second derivative of 0*c**n - 2\/9*c**3 - 1\/6*c**5 - 5*c + 7\/18*c**4 + 0. Factor l(d).\nAnswer: -2*d*(d - 1)*(5*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29929 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b - 88*b = -14*b - 2998464. What are the prime factors of b?\nAnswer: 2, 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021210002 (base 3) in base 13?\nAnswer: -b705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29881 to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 14*d**2 + 15*d - 17. Let n be u(15). Let m = n + 16. Sort m, 5, -3 in decreasing order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(51)\/(-2*sqrt(3)) - (-5 + -3*(sqrt(153) - sqrt(17))))**2.\nAnswer: 65*sqrt(17) + 2989\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -4.9443.\nAnswer: -9.8886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210522304009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 - (-2771)\/68. Let h = -15 + b. Differentiate -12 + 10*x + 11*x + h - 7*x wrt x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7005.85 centuries to decades.\nAnswer: 70058.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049033 is divided by 3485?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*o**2\/3 + 4960*o\/3 + 144.\nAnswer: -4*(o - 54)*(23*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Suppose c + 25 = q*d - 4*c, -c = 4*d - 19. Solve -4*n + 21 = -d*v, 2*v = 5*v + 5*n - 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -6935, -23505, -55771, -108965, -188319, -299065?\nAnswer: -446435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 28670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1915703 divided by -6\nAnswer: 1915703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {e: 1, q: 2, b: 1, t: 5, l: 2, z: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 i when four letters picked without replacement from {q: 1, l: 3, i: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22968442.\nAnswer: 2, 7, 617, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -45461053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - (-12222)\/(-3051))*-3. What is the third biggest value in h, 1\/5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 20*t - 14*t. Let n be t\/10*(-4 + 4). Solve -2*c - 2*m = 10, 4*c + c - 4*m + 25 = n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*y - 3*y - 14 = 0, t + 5*y + 6 = 0. Suppose -2*k = -7*k + 85. Solve -4*z + 3*z - t*q + k = 0, 0 = -4*z + 2*q + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/(104\/(-39)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4808988 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 532*i - 2. Let x(p) = -5*p + 54. Give x(h(b)).\nAnswer: -2660*b + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3480 = 2*l - 6*l - 5*x, 0 = -3*l - x + 2610. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*v**2 + 140*v**2 + 146*v**2 - 431*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:34 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 298.\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -17*k + 4. Let b be c(-3). Let x = b - 13. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/25 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/6)\/((-8)\/(-24)))\/((-2070)\/69)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -56 + 14\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*b**5*h + 33141*b**4*h + b**2*h - 134*b - 148645*h + 4 wrt b.\nAnswer: 26160*b**2*h + 795384*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -3 - 6\/(-2). Suppose t*r = d + 4, 3*d - 8*d = 4*r + 20. What is the common denominator of -22\/3 and (14\/(-5) - d)*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 20.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k - 11. Let x = 16 - 11. List the prime factors of n(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonoojjkloomklkkk. Give prob of picking 4 o.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.533 and -0.1?\nAnswer: -0.0533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/(1\/(-4)). Let h(b) = b**2 + 2*b - 3. Let l be h(k). Suppose 10 = -0*y + l*y. Is 0 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 10\/((-20)\/6)*(-1981 - -24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - g - 1. Let m be s(0). Let t be 7 - (-11 - -10) - -21. Is m at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10)\/(((-1224)\/(-440))\/17). Which is the smallest value? (a) 5 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-3)*-1)\/((-1312)\/(-3936))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11055 + -7790. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -25. Suppose -z - b + 16 = 0. Let g be 2 + 4 + z + 1. Solve -5*s + g*p + 5 = 0, 4*p - 45 + 10 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s = -26*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u + 40 = 0. Let n(z) = -6*z**2 + 8*z + 8. Let r(c) = -c**2 + c + 1. Let q(y) = u*r(y) + n(y). Let v(a) = 5*a. What is v(q(w))?\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 p when three letters picked without replacement from {f: 2, l: 9, p: 4, a: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8419 is divided by 2806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -59. Suppose 2*w + 3*w = -4*h - 21, -3*h - 10 = -p*w. Sort -1, 0, 2, h.\nAnswer: h, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 4*h - 3*m, 2*h - 2*m - 115 + 23 = 0. What is the units digit of h\/2 + -4 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806708 is divided by 2447.\nAnswer: 2446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 1840 = -p + 1856, -3*p + 88 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.869781 and 66.\nAnswer: 66.869781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 6 + 40)*(-2*u + 1 - u + 444*u**2 - 434*u**2).\nAnswer: 570*u**2 - 171*u + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9779903*g**4 + g**2 - 1388 + 9779903*g**4 + 2551*g**6 wrt g.\nAnswer: 306120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*s + 68946, 0 = 7*y - 282*s + 278*s - 482497. What is the thousands digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (-4)\/(-6) - (-144100)\/165.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293142823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785215, 785242, 785267, 785290, 785311, 785330?\nAnswer: 785347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -64*k - 167. Let g be s(-3). Let a = -25 - -35. Calculate the highest common factor of a and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -10, 5, 0.1, 0.4 in increasing order.\nAnswer: -12, -10, 0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3 + 1 - 8*q - 2*q - 6*q. Calculate the remainder when t(-4) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127668 is divided by 139.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*j - 107*j = 5*x - 35, -57*x - 254 = 4*j + 19*x - 786 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 83. Suppose -2*d + 18 = 5*y, 2*y + 5*d - t = 3. Find the common denominator of 92\/15 and y + -2 - (556\/120 + 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 - 7 - 57\/8 and 43\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-27)\/2) - 469\/2010*-15.\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 42 = -3*j. Which is smaller: j or 3\/274?\nAnswer: 3\/274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*l**2 + 219*l**2 + 102*l**2 - 102*l**2.\nAnswer: -143*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 27*h - 24*h = 3411, -3*d = -5*h - 10233. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/15))**29*h**(-20)*h**(4\/3))**8 assuming h is positive.\nAnswer: h**(-1312\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10226)\/(-3) + 12\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 34462?\nAnswer: 2412340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 8. Suppose -p*c + 10 = -4*c. Suppose 2*t + 6 = c*t. What is the lowest common multiple of t and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**5\/13 - 2684*g**4\/13 + 1377300*g**3\/13 - 35735200*g**2\/13 + 19592054*g - 16948932 = 0 for g.\nAnswer: -1743, 1, 13, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6 - u**2 - 3*u - 4*u + 0*u**2. Let g be q(-5). Suppose 0 = 5*f + 4*y - 25, -y - 20 = -g*f - 3*y. Solve 0 = n - 4*k - 24, -n + f = 4*n + 3*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318246823?\nAnswer: 47, 89, 76081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79524 = -5454*l - 80301 - 3795 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36\/45 + 1\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15 - -5 - (-1 - 4). Let y(j) be the first derivative of -1\/2*j**2 + 13 - 5*j + 5\/3*j**3 + 1\/4*j**4. Determine y(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -1733, 727?\nAnswer: -1733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 16}. Give prob of sequence kh.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2 + 55*o - 103. Calculate p(15).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/35*8\/(-8))\/(1\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 1 + 5 - 3 + 0 - 4*v**3 - 6*v**2. Is y(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-6)\/(-4))*2. Let g be (-1)\/q*-1*0. Suppose -4*t - 20 = g, -3*u + 3*t = 2*t - 2. Which is smaller: 1\/8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115759581 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**3 + 5*n**3 - 6*n**3)*(20 - 20 + 18*n) as j*n + u*n**3 + l*n**4 + t + c*n**2 and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(3\/32)*(a**0)**(4\/31) assuming a is positive.\nAnswer: a**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 33*o + 347. What is the remainder when y(33) is divided by 178?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 34*n - 5671. Let u(g) = 4*g**2 + 70*g + 11354. Let t(z) = 7*q(z) + 3*u(z). What is the derivative of t(j) wrt j?\nAnswer: -4*j - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddxcdcdvcxnd. Give prob of sequence cdcv.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 21*x**2 + 26*x - 39. Give w(-20).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 10 = 3*g - 4*p, 0 = -5*g + 2*p + 6. Let j(d) = 4*d**2 - 20*d + 50. Let q(l) = -l**2. Let w(h) = g*q(h) + j(h). Solve w(v) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*36\/(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.004 - -4.396. Let m = -4.399962 + r. What is m rounded to 6 dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 29762256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6 - 27951*z**3 - 12*z**2 - 24*z + 2*z**2 + 27952*z**3. What is f(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 38. Let x(w) = 10884*w - 42. Calculate x(i(c)).\nAnswer: 10884*c - 413634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.56232\nAnswer: 0.28116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435852093?\nAnswer: 3, 23, 193, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*r**4 + 14*r**4 - 14*r**4)*(-1 + 1 + r) + (-r**2 + r**2 + 2*r**5)*(1 + 1 - 1) - r**5 - 3*r**3 + 3*r**3.\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 81*v**2 - 176*v - 60. Is 60 a factor of c(-80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 - 5*u + 5. Suppose 4*r + 0*r - 80 = 0. Suppose 4*q - 2*j + r = -6*j, 3*q - 2*j = -20. Calculate w(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 478912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-2)*(-252)\/98.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120744?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 572658*p + 3435840.\nAnswer: 3*(p + 6)*(p + 190880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/204828156 and 19\/7?\nAnswer: 1433797092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:56 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1413 - 4?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*f - x + 1, -4*x + 4 = 0. Let y(h) = 0 + 0 - 2*h - h**2. Let o be y(f). Put o, 0.4, 4 in decreasing order.\nAnswer: 4, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s**3 + 3*s**2. Let k(w) = 5*w**3 - 2*w**2. Let q(i) = 5*d(i) + 8*k(i). What is the third derivative of q(r) wrt r?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67963, 68030, 68103, 68182, 68267, 68358?\n\"Answer: 3*y**2 + 58*y + 67902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -1501?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 38*a + 110. Let c be 72\/32*(-12)\/9. Let h be t(c). Let w = -2 - -6. Solve 4*u = -4*b - 4, w*u - 8*b + 3*b = h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 4. Which is bigger: g or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 = -0*g, -3*r + 2*g + 2554 = 0. Let y = r + 2797. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*w - 17, 2*i - 17 = i + 3*w. Determine p, given that 0*p**2 + p**4 + 4613 + 4*p**3 + 3*p**i - 4613 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 12 - 2. Let q(r) be the first derivative of r**2\/2 - 7*r - 14. Determine q(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8237 times 20?\nAnswer: 156.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.4, -2\/5, 4, -1106?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(3\/5)*i**(-7)*(i**(-2))**(-46) assuming i is positive.\nAnswer: i**(427\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + r - 4*r)*(3 + 0 - 2) + 0*r + 0*r + r + (11 - 21 - 12)*(2*r - 4*r + r) + 1 - 2 + 9*r + 0 to v*r + w and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019064 to four decimal places.\nAnswer: -0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*(70\/100*2)\/((-6)\/(-105))\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 - u. Let t be m(-6). Let j be (t\/7)\/(2\/14). Let i = j - 1. Solve -p = -3*v - i, 6*p - p + 3*v - 7 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 189.25, 2\/17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*j - 3, 4*v - 21 = 2*j - 5*j. Suppose 3*b + v*w = 5*w + 4, 10 = 2*b - 5*w. Let c(y) = y + 21. Is c(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -163.6528357 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -272*o - 2496 + 3129*o + 866 - o - 4772 wrt o?\nAnswer: 2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -58. Suppose -23 - m = -5*w. What is the remainder when 17 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((((s\/((s\/s**16)\/s))\/s)\/s*s)\/s)*s*s**(-5\/8)*(s*s\/((s\/((s*s\/(s\/(s\/s**(-1\/4))))\/s))\/s)*s*s)\/s**(-1\/12) assuming s is positive.\nAnswer: s**(-175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 13. Let z be h(5). Let v(m) = m**2 + 3*m - 8. Let k be v(z). What is the remainder when 46 is divided by (-1)\/((2\/k)\/(-1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -11*x - 53. Let v be d(-6). Suppose -17*h + i + v = -14*h, 4*i = h + 3. Solve h - 20 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -592 + 644. Solve 3*u + 10*u - v = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o + 8. Let r(y) be the third derivative of 1\/6*y**3 + 0 + 81*y + y**2 + 1\/24*y**4. What is b(z) - 3*r(z)?\nAnswer: z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206 - -521. Let l = g + -304. Let n(x) = 4*x - 4. Let s be n(6). Solve 3*p + s - l = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 10*y**2 - 1 - 8*y**2 + 0 - 3 to the form d + w*y**2 + n*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 6755, -12, -3, -34 in ascending order.\nAnswer: -34, -12, -3, 5, 6, 6755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2212*y**2 + 180*y + 1.\nAnswer: -4424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2\/2 - 32539*r\/2 - 32541 = 0.\nAnswer: -2, 32541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341033.\nAnswer: 7, 11, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b - 1. Let v(z) be the second derivative of z**3\/6 + z**2 + z. Let p be v(-3). What is x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 0 - 4 + 4. Let b(k) = 0*k**2 + 6*k**2 - 2*k**2. Give u(b(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 29, 33, 57, 107, 189?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -258, -2, -16.\nAnswer: -258, -16, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*m = -239 - 120, -5*l - 970 = -2*m. List the prime factors of ((-6)\/4)\/(18\/l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4649, -5576, -6499, -7418, -8333?\n\"Answer: 2*b**2 - 933*b - 3718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -4*l**3\/3 + 56*l**2 + 240*l + 501. Suppose i(w) = 0. What is w?\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6027533 is divided by 136988?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8549329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = 3*b - 22*i - 4, -3*i - 2 = -4*b. Calculate the least common multiple of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**5 - 4*n**4 + 4*n**4)*(2 + 2 - 1) + 3*n**5 - 5*n**3 + 5*n**3.\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6114 + 1458 = -2*p, 3786 = 2*s + p. What are the prime factors of s?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + 1 + sqrt(162) + -1)**2 - (1 + sqrt(162) + -2))*1.\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (-331 - 1)*(10 - 196\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 3\/5, 0.5, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 - 442. Let x be (w\/25 - (-4)\/(-10))\/(-3). Let a(g) = -6 + 9 - 2*g - 1. Calculate a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37514 is divided by 18757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 140831631.\nAnswer: 140831626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6, -2*d - 4*l = 3*d + 447. Calculate the remainder when 1 + 2 - (d - -5) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18*-267692.96\nAnswer: -4818473.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050086911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95 - -151. Let h = 56.115 - z. Let r = -0.041 - h. Round r to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:04 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -4)*-2*-1. Suppose 3*f - 12 = 0, 0 = 5*p - 3*p - 2*f + r. Suppose p*x = 4*x - 170. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*q + 36*q + 156*q - 68*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(1\/3)\/q)\/(q\/q**2))\/(q**(2\/3)\/q)**(-28))**50)**(-30) assuming q is positive.\nAnswer: q**13500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1052 (base 7) to base 6\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -2*g - 8*g. Suppose -6*a + g = -4. What is the third derivative of -23*m**3 + m**2 + 6*m**2 + 23*m**3 + 22*m**a wrt m?\nAnswer: 528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 + 11*q. Let z(f) = -3*f**2 - 4*f. Let x(i) = -4*s(i) - 11*z(i). Let p(t) = -t**3 + 2*t**2. What is -p(g) + 2*x(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmufggmumgmugmgg. What is prob of sequence gfg?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*s + 40 = 0, q - 5 + 6 = -4*s for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 10, 0 = -4*w - 5*f - 5 + 187. Suppose -3*i + 41 + w = y, 3*i + 381 = 4*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/62? (a) -7 (b) -18 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/45)\/(69\/414). Let z(j) = j + 17. Let p be z(-15). What is l in -2\/5*l**p + q + 12\/5*l - 12\/5*l**3 = 0?\nAnswer: -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, -2, 1, -18, -58, -5 in descending order.\nAnswer: 1, -2, -4, -5, -18, -33, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*a - 16 = -0*a, -22 = -5*g - 2*a. Let b(o) = 0 + 6*o + 1249*o**2 + 3 - 3. Let n be b(g). What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i**2 + 19370*i + 23280 = 0. Calculate i.\nAnswer: -6\/5, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 minus 409696?\nAnswer: -409602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*w**2 - 564*w**2 + 632*w**2.\nAnswer: -305*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j + d + 8, 0 = -5*d - 10. Find the third derivative of 8*x**j - 1 + 4*x**2 + 7*x**2 - 5*x**2 - 207*x**5 wrt x.\nAnswer: -12420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12 - 6 + 14*r**2 + 30 + 0*r**2 - 11. Let b(a) = 4*a - 3*a + 0*a. Give b(s(f)).\nAnswer: 14*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k + 35. Let u(q) = 3*q + 11. Give -4*m(o) + 11*u(o).\nAnswer: o - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 39\/8. What is the common denominator of h and 589\/(-14) + (-8)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*z - 188*z + 2366 = 0. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17171 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -1321*j + 1305*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8*j = -20. Solve -4*o = w - 12, 10 = -o + 2*o + j*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a37a98 (base 13) in base 4?\nAnswer: 200332000320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p - 73. Let s be f(-11). Solve 0 = -3*a - 3, 2*a = z + s*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1.3 (c) 2.6 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*h**3 - 6765*h**2 - 4*h**3 + 0*h + 6768*h**2 + h + 20*h**4 as i + l*h + n*h**4 + x*h**3 + s*h**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/755, -0.5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1395598171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813658218?\nAnswer: 2, 3, 135609703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1172, -1170, -1168?\n\"Answer: 2*g - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**0*m)*m*m*m*m)\/(m\/m**(-3)))**(-4\/33)*m*m\/m**(-2)*m**3\/m*(m\/m**(-6))\/(m**(2\/3)\/m) assuming m is positive.\nAnswer: m**(436\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -19*q**3 + 2*q**2 - 5. Let o(r) = -19*r**3 + 2*r**2 - 4. Determine 4*j(u) - 5*o(u).\nAnswer: 19*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1412*z**3 + 8*z**2 - 4*z + 3. Let y(b) = b**3 + 2*b**2 - b + 1. Give -l(o) + 4*y(o).\nAnswer: -1408*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98252.7 nanoseconds in minutes?\nAnswer: 0.000001637545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-14)\/3))\/(68\/119)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-2)\/(-45))\/(1116\/(-1674))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*y - 101*y - 430 = 82*y - 259*y for y.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m - 3. Suppose 4*i - 56 = -z + 27, 5*i - 2*z = 120. What is the lowest common multiple of u(5) and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -94.49909.\nAnswer: -28.349727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86827.34mg to nanograms.\nAnswer: 86827340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-7)\/n)\/n*n)\/n)\/(n**(1\/4)\/n))**34*(n*n**(-6)\/n*n**(6\/5)*n)**(-1\/9) assuming n is positive.\nAnswer: n**(-25207\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*s + 35035 = 0, -x + 7*s - 4*s + 7020 = 0. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81 + 322 + 161)*(3*k + 3*k - 3*k) + k - 2*k - k.\nAnswer: 1204*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**3 + 2*d**2 + 3*d + 2. What is a(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 + 147. Suppose k = -28*d + 26*d. Solve d = 4*u + 4, f + 5*u = -3*f + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:58 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**21\/w))\/(w*w**21*w)*((w*w\/((w*w**(-2\/7)*w)\/w)*w)\/w)\/w*(w**(-1\/47)\/w)\/w assuming w is positive.\nAnswer: w**(-15047\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -720.\nAnswer: -7\/360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 111*m**2 - 213*m - 566. Give x(109).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -217518*p**2 - 1. Let l(o) = 4*o**2. Calculate t(l(k)).\nAnswer: -3480288*k**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + k + 1. Let b(d) = 61*d**2 + 3*d + 2. Let r(o) = -b(o) + 2*h(o). Let l(u) = -5*u**2. Determine r(l(n)).\nAnswer: -1675*n**4 + 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + 0.1. Let i = 2 - z. Let t = -156.7 - -157. Which is the nearest to -1? (a) 4 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4\/5 - 10056*l**3\/5 + 6007952*l**2\/5 + 396921096*l\/5 + 390903084\/5 = 0.\nAnswer: -59, -1, 1287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78952.05 milliseconds in minutes?\nAnswer: 1.3158675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 237478 - -5?\nAnswer: 237484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.1. Let n = -0.1 - s. What is the nearest to -3\/2 in n, 5, 1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose d = q*d - 56. Suppose 5*m + 1 - d = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 - 23*m**3\/6 - 13*m**2 + 38*m. Let v = 84 - 38. Calculate the remainder when v is divided by o(25).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 21*n**2 + 21*n - 12. What is the remainder when y(20) is divided by (-8)\/(-3) + (-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-912)\/180) - (-1)\/8*-14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 351170.\nAnswer: 70234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5504131 by -1.\nAnswer: -5504131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388707 is divided by 94?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6556*a + 6. Let h(y) = -3278*y + 3. What is 7*h(x) - 3*l(x)?\nAnswer: -3278*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(2\/25)\/(y**(-2\/29)*y\/(y**15\/y)) assuming y is positive.\nAnswer: y**(9881\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-11) - (-6)\/(-33). Let z = y + 6. What is the smallest common multiple of z and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(153) - (sqrt(17) + 0 + 5) - (sqrt(612) - 1*(sqrt(612) + 1)).\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96265 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, e: 6, m: 5}. What is prob of picking 1 m and 2 p?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7634 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/20 + 11*i**4\/12 - 3*i**3 - i**2 - 20*i. Let u be b(9). Let d = 149 - 147. Sort 6, -4, u, d in descending order.\nAnswer: 6, d, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42018 is divided by 6981?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1678*n**2 - 621*n**2 + 783 - 783 + (-6*n + 2*n + 3*n)*(0*n - n + 0*n) as v*n**2 + m + t*n and give v.\nAnswer: -2298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 9:34 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 672576711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -262*f - 6. Let t(n) = 1568*n + 34. Give -23*q(h) - 4*t(h).\nAnswer: -246*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 - 102*x - 20. Give h(-22).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -386\/7. Let q = 3424863 + -3424863.2. Let o = -2 - -1. What is the closest to q in h, -3, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-30))\/(2 - 24\/10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 15 + 5. Let k be (0 - v)\/(2\/131). Let b = -94 + k. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + j - j = 0. Let z = -7 + 5. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvaavaaaavaaaava.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 228*n**2 + 69*n**2 + 4 - 1 - 124*n.\nAnswer: -159*n**2 - 124*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.2. Let u = 1.9 + -2.1. Sort u, -0.1, s in increasing order.\nAnswer: u, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 0.4 (c) 7 (d) -2\/977 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 12 = 4*h, 5*v - 2*v - 5*h - 31 = 0. Suppose -w + v + 1 = 0, 3*s = 2*w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 divided by 199?\nAnswer: 478\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-180) - (-363)\/36?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 19. Let t be x(11). Let z(c) = -388*c**2 - 6*c - 2 - 2*c + 386*c**2. Let p be z(-3). Put p, 0, t in ascending order.\nAnswer: 0, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.2 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14220 - 12?\nAnswer: 14206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -14\/233 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7724 is divided by 226.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*b + 390 - 229 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15 - (-690)\/(-45))*(1 + 0). Let b = -0.2 - 0.3. What is the second smallest value in b, -5, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(8\/(-48)). Suppose t = -2*h - w - 2, -3 = -3*h + 3*w. Let r(x) = x**2 - x - 1. Let s be r(h). Which is bigger: s or -3\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {w: 3, p: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 65 - 215. Suppose -9 = -b - 2*b + 3*l, -5*b + f = -2*l. Solve -3 = 5*j + r, -4*r = j + 1 - b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 963 and 62060.\nAnswer: 558540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(931) + -1 - sqrt(931) - sqrt(931) - sqrt(931) - sqrt(931) - sqrt(171)\/(sqrt(54)\/sqrt(6)))**2 - 4*(2 + sqrt(19) + 3)*-1).\nAnswer: -18372 - 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w**5 - 1\/12*w**4 - w**2 + 0 - 1\/144*w**6 + 0*w + 0*w**3. Let x(j) be the second derivative of d(j). What is x(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -226\/39 + -7\/13. Let x = 73\/12 + h. What is the second smallest value in 0.4, -4\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.72. Let k = 0.18 + w. Which is the second smallest value? (a) 2\/17 (b) k (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5 + -13. Let w = -6 - n. Which is the third biggest value? (a) 2\/7 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112519 is divided by 153.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amm when three letters picked without replacement from {m: 7, z: 2, a: 4}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -0.6. Let o = -1\/91 + -265\/728. Let q = 1453 - 1452. What is the biggest value in 4\/5, a, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, c: 1, m: 4, y: 2, h: 1, b: 1}. Give prob of picking 1 h, 1 c, 1 y, and 1 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 divide 458969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1\/76, -0.485, -4, -12, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18ba36 - -4?\nAnswer: 18ba3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1404 and 1796.\nAnswer: 630396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 31 = -f + 302, 5*f - w = 1701. Which is greater: f or 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 34, 41?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22, 2.5, -5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*m - 248 = -36*m - 149*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, q: 9}. What is prob of sequence qdq?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 4, 2\/15, -2\/411, -12.\nAnswer: -12, -2\/3, -2\/411, 2\/15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705957?\nAnswer: 11, 155087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Suppose -50 + 385 = 5*g. Suppose -5*k - 27 = -g. Solve 0 = k*s - 4*s - 12, 21 = z*u + 3*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -1*sqrt(637))*3 + -5.\nAnswer: -5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.01 + -1.01. What is the smallest value in 0.2, z, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Let f = 61 - 61. Let m = f - r. Which is the fourth biggest value? (a) -1 (b) 0.1 (c) 5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*x**2 + 14*x**2 + 28*x**2 - 2*x + 16 + 12*x**2 - 90*x**2 to the form b*x**2 + n + c*x and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 82*h**2 + 4*h - 7. Let a(o) = -55*o**2 - 3*o + 5. Determine 7*a(r) + 5*d(r).\nAnswer: 25*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + -4 + (-2619 - -2757).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 4*h**2 - 2*h**2)*(h - 4*h + 5*h) + (1821 - 3622 + 1826 - 12*h**2)*(-2 + 2 + h).\nAnswer: -10*h**3 + 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -4732 and 0.072.\nAnswer: -4731.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/33)\/((-2)\/(-6)). Suppose -5*y - 25 = -5*c, -y = 5*c - 0*y - 19. What is the highest common divisor of c and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -71\/2 and -36 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 22. Let f be i(-13). Suppose 2*w + 5*u - f = 0, 0*w = 3*w + 2*u + 14. Sort 3, w, 2.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(2\/10)\/1. Let s = -0.9 - -0.99. Let r = 4.09 - s. What is the smallest value in d, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r + 194*r**3 - 7 - 7*r**2 - 195*r**3 + 3*r**2. Let c(w) = w**3 + 5*w**2 + 6*w + 8. What is -6*b(f) - 5*c(f)?\nAnswer: f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(75)*2) + sqrt(363) + ((sqrt(363) + 0 + sqrt(363) + -2 + sqrt(363))**2 - sqrt(363)).\nAnswer: -1319*sqrt(3)\/10 + 3271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 478\/15 - 32. Let c = 0.3 + 0.1. What is the nearest to -1 in 0, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, 21, -3, 5175 in increasing order.\nAnswer: -3, 3, 18, 21, 5175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*k - 11 - 11, s - 3*k - 16 = 0. Suppose 2*t = -0*t + 14. What is the greatest common divisor of t and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.901 and 1.32.\nAnswer: -1.18932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 14*a + 12. Let n be c(6). Let u be 36\/4 - (0 - n). Find y such that 2*y**4 - 3*y - y**4 - u*y**2 - 9*y**3 - 4*y**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -937, -932, -927, -922, -917?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6 + 5*i**3 + 4*i**3 + 6 + 6 wrt i?\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -18, -23, -4, 4.\nAnswer: -31, -23, -18, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -3) + -13 + 30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*y - 4. Let d(r) = -2*r - 2. What is d(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 - k**3 - 5*k**3)*(-21 + 64 + 5) + 4*k**2 - 4*k**2 - 4*k**3 to r*k + l*k**2 + q + o*k**3 and give o.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -44131?\nAnswer: -1\/44131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/9 and -50\/1167?\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/3 - 10748*y\/3 + 3930112 = 0 for y.\nAnswer: 1536, 3838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591191.\nAnswer: 569, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j - j**3 + 211*j + 77*j)*(3*j**2 - 2*j**2 + 0*j**2).\nAnswer: -j**5 + 276*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7)\/60*-9*-3 and 11 + -14 - 15\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 51.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 r, 1 v, and 1 g when four letters picked without replacement from {r: 4, b: 2, g: 1, v: 1, d: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Let r(d) = d**2 - 6*d + 4. Give r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 6. Let f = -58 + 58.5. Which is the smallest value? (a) -5 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4922.57 to the nearest ten.\nAnswer: -4920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6493 divided by -4.\nAnswer: 6493\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + 17*o + 7. Let c(j) = 9*j**2 - 35*j - 15. What is 6*c(z) + 13*h(z)?\nAnswer: 2*z**2 + 11*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930442291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:02 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -7 (c) -376831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/30 - (-138)\/5. Let b = -26 + p. Suppose 0 = -4*w + b*w. Solve w = 2*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 7*n**2 - 12*n - 3. Let w(h) = 4*h**3 + 7*h**2 + 15*h + 3. Suppose 30*i + 58 = -2. Let f(r) = i*w(r) - 3*s(r). What is f(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, c: 5, b: 10}. What is prob of picking 2 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 558563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 + 2002?\nAnswer: 10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, f: 3, x: 2, c: 1, e: 5, y: 1}. Give prob of picking 1 c, 1 e, and 1 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 876)*2074\/78320. Let l = p + 2\/4895. Find the common denominator of l and 15\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -441. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 - -4 - -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.81 - 0.23. Let t = 1.64 - 1. Let c = i - t. Which is smaller: c or 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8676, 1, 209 in ascending order.\nAnswer: 1, 209, 8676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 7618?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*d + 35 = 0, -3*r + d = 2*r + 51. Let y = 13 + r. What is the second derivative of -2*z**3 + 2*z - y*z + 12*z**3 + z wrt z?\nAnswer: 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69560035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 826.4564 * -26\nAnswer: -21487.8664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 62*u = 59*u - 3984, u + 2396 = 3*j. What is the remainder when j is divided by 169?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42886 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -33*c + 403. Determine g(14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/33 + -8\/11. Let o = -2.4 - 0.6. Which is the second biggest value? (a) -4 (b) w (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(425)*-1*-6.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 34*f - 68. Let q be j(2). Find c, given that q + 1\/2*c**3 - 1\/2*c + 0*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) - (2 + sqrt(80) + -4)))*1 - (sqrt(900)*2 - sqrt(900))\/((sqrt(120)\/sqrt(3) + sqrt(40))\/sqrt(8)).\nAnswer: 2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 279?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 21320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224)\/1792 + 33\/(-24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**6\/720 + 17*f**4\/4 - f + 4. Let y(d) be the third derivative of u(d). Let v(k) = 5*k**2 - 12*k. Give y(v(o)).\nAnswer: -5*o**2 + 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2320 and 400.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 36 - 41 = b, 4*b - 4*x + 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003276 a multiple of 1325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -113, -5, -0.09006?\nAnswer: -0.09006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose -3*y - o*y = 10. Let h be ((-2)\/3)\/(y\/3). Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4755 (base 14) in base 11?\nAnswer: -9374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2152325 and 3.\nAnswer: -2152322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58.51 - -0.51. Let s = -55.6 - y. Let k = s + -2.39916. Round k to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15343031 divided by -11.\nAnswer: 1394821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*z - 288*z + 2120 = 0. Is z a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 6 = -2*z. Suppose -17*n + 27 = -14*n. Calculate the remainder when z is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1890 and 2371410.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47602 * -0.4.\nAnswer: 19040.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -44515 (base 8) to base 13\nAnswer: -8706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3247045 to the power of 1\/2, to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + 3*j**3 - j**3 + (3 + 0 - 2 + (0 + 0 + 2)*(-2 + 0 + 0))*(-j**3 - j**3 - 4*j**3).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*d**2 - 11*d - 1384*d**2 + 159*d**2 + 18*d - 7*d.\nAnswer: -1494*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w - 13. Suppose -18*t - 7 = -19*t. Let h be k(t). Which is smaller: h or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + 3 + (-7 - -1 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + -27. Let u = n + 68. Calculate the remainder when u is divided by ((-3)\/1)\/((-3)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 136, 3\/8, 2\/5 in decreasing order.\nAnswer: 136, 2\/5, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = 4*m - 5, -2*m + 3*j = -31. Let b be ((-18)\/m)\/((-6)\/24). Let c(t) = t + 1. List the prime factors of c(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/(-6))*(-22)\/(308\/(-63)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + y + 2*y + 71, t - 2*y = 10. Differentiate -8 - t + 2*w**4 - 14*w - 30 + 24 with respect to w.\nAnswer: 8*w**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 634\/7*(-3592)\/16. Let k = -20379 - q. Let m = k + 46. Which is the second biggest value? (a) 1\/4 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25\/4*c**5 + 70*c**2 - 76*c**3 + 145\/4*c**4 - 28*c + 4 = 0. Calculate c.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 15*z - 42. Let w be g(7). Solve 2*x + 4*m - 5 = 7, -3*m = 4*x - w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**2 - 5*z - 1. Let w(f) = -f**2 - 25*f - 12. Let t be w(-22). Let q = t + -52. What are the prime factors of y(q)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 2, -6, -28, -70?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iininnii. What is prob of picking 2 i?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v**2 - 513*v + 258*v + 255*v + 10*v**2.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11430 >= 11431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -211100?\nAnswer: -211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 times -7.55?\nAnswer: -664.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 37 = c + 11, -3*c = 5*f - 36. Let y(u) be the second derivative of 0*u**2 + 0*u**4 + 0*u**3 + 1\/20*u**5 + 0 - f*u. Factor y(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from rlidrdzzlridz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3 + 39712*l**2 + 39710*l = 0.\nAnswer: -19855, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:10 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -246?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -43. What is the units digit of (-3)\/(-9) - 215\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -3. Let y = p - -6.25. Let m = -0.05 - y. Which is the second biggest value? (a) 0.3 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 131. Suppose 2*z + 79 = r, -z - 3*r - 31 + 9 = 0. Let t be w(z). Solve 5*k = 2*q - t + 3, 4*q - 3*k = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 1 (c) 0.2 (d) 0.3 (e) -0.04852214 (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/7)*w*w\/(w*w**(3\/13))*(w**2)**(2\/75) assuming w is positive.\nAnswer: w**(9514\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1*323264492\nAnswer: -323264492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (45 - (30 - -20))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 3*m + 6. Let s be y(-4). Let d = s - 5. Let o be 2 + 12 + -2 + 3. Calculate the greatest common divisor of o and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(0 + sqrt(19)) + (sqrt(76)*-2)\/sqrt(4) + sqrt(19) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0562 to 3 dps.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)*0\/(-2). Suppose 2*k + 10 = 64. Suppose 3*i + d - k = 0. Calculate the greatest common divisor of i and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y + 3*y + 8*y**2 - y**3 + 3*y**3 - y. Let s(v) = v**2 - v. What is p(f) - 10*s(f)?\nAnswer: 2*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 6*b + 2. Let u be z(-6). Let x(f) be the first derivative of -2 + 0*f**u + 0*f - 1\/3*f**3. Let l(t) = t**2. Calculate l(x(w)).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7369*m - 73687. Calculate v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0 - 96. Suppose -n = n + o. Is (n\/8)\/((3\/(-5946))\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/4 + 17*t**3\/3 - 13*t**2 - 58*t - 35. Let b be n(15). Solve -h - b*c = 0, -3*h - 2*c = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from zjjzjzzzjjjzzj.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4327530 and 294?\nAnswer: 212048970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7653196 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 14. Let a be 0*(2 - 15\/(-9) - 4). What is the least common multiple of j(a) and 62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 24*w - 27. Let s be y(23). Which is the biggest value? (a) -3 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*6\/16. Sort k, 1, 2\/3 in descending order.\nAnswer: 1, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004676 rounded to five decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -145, -333, -597?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95613 and 9744.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*k - 1, g = 2*k. Suppose -g*p + 2100000 = -2*p. Suppose -6*o + p = -3*o. Round o to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15638 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16316171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnns when four letters picked without replacement from {m: 1, v: 3, l: 1, s: 9, n: 3, z: 2}.\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*o*q + 3597*o + 756949*q wrt o.\nAnswer: -56*q + 3597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (-10 + (-12 + 47 - 9)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3574640 is divided by 109.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098.4964 rounded to the nearest ten?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0. Let z = -18208\/1157 - -204\/13. Let y = z - -145\/1246. What is the closest to a in y, 2, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 + -2 - (-1 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3*(14060\/(-999))\/(-38)*(-66)\/10.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, z: 1, t: 3, w: 2, q: 2, n: 3}. Give prob of sequence tzfq.\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {u: 3, x: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-130)\/(-455))\/((-80)\/56 + 4\/2). Let h(z) = z + 2. Let m be h(0). Which is the second smallest value? (a) j (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5, -s - 314 = -3*o + s. Suppose -5*n = -5*d - 85, 4*n - 10 = -d + 33. Calculate the greatest common divisor of o and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upyjjppypppyppppy. What is prob of sequence yu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeet when four letters picked without replacement from tttttteottteeoo?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*q - 5 = 0, -2*d - 2*q = -7*q - 33. Suppose -5*y - d + 14 = 0. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -4, -13\/2, 3\/4, 2, 7\/11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 518595*b - 518600.\nAnswer: 5*(b - 103720)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12432 - 12091. What is the least common multiple of b and 1860?\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-3)*(-12)\/16. Suppose 5*f + 8 = b*a - a, 15 = a + 2*f. Is (2 + -4 + 3)*a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*p + 8 = -28, 5*v - 21 = 3*p for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**6\/1080 + p**5\/60 - p**4\/8 + 2*p**3\/3 - 5. Let j(o) be the third derivative of n(o). Find z, given that j(z) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*r - 13 = 7, -h - 2*r = 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9762642 >= -9762642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 2, r: 1, t: 1, u: 3, p: 2}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h - 6 - 4*h - h + 3*h in the form v + x*h and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*u - 3020 - 10826. Is u bigger than -304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/((-45)\/(-100)) - 4. Let u = 21 + o. Let v be u\/18*4*-132. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 2 + 5 - 4*z + z. Let f(b) = b**2 - b + 1. What is 3*f(u) - n(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {n: 1, l: 1, f: 1, i: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhkhhhhhxxxx. What is prob of sequence bhb?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 4*b**2 + 2*b - 5. Let c be x(4). Let r be (-111)\/21 + (-8)\/(-28). Put c, 1\/7, r in descending order.\nAnswer: c, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 296 or 297?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 1890.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - 5*c**2 - 18*c**2 + (3 - 3 - 2*c)*(-5 - c + 5).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 6*f = 2*g - 131, 0 = 5*f - 84 + 27 + 12 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 72319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - r + 1 + 3*r. Let l(w) = -4*w + 5. Let y(q) = 2*l(q) - 10*x(q). Let z(c) = c**2. What is z(y(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.37*1892\nAnswer: -2592.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (40174 - 40102) + ((3 - 1 - 1) + -9 - 2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/((-90)\/8) + 174\/30. Solve -d + 15 = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 497 + -294. What is the highest common divisor of j and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 714184622*g**3*z - 5*g**2*z - 227*g**2 - 16*g*z - 81*g + z - 4 wrt g?\nAnswer: 4285107732*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:37 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + (-34 - -15 - -24) + 9.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + g**2 + g - 10. Let z be w(0). Let v be (-8)\/z + (-1)\/(-5). Which is the closest to v? (a) -4 (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80298 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 41393 + 7029 = 0. What are the prime factors of b?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**4\/30 - 4*j**2\/5 + 2*j. Factor k(u).\nAnswer: 2*(u - 2)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104304957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.69 minus 80611?\nAnswer: -80662.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + (-25)\/(-100). Solve 5*q - 5*x = f, q - 5*x = -2*x - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*a - 8 = -q, 5*q = 2*a + 12. Suppose 111 = -q*v + 3*o, -2*v - 5*o - 167 = 2*v. Is 11 a factor of ((-6)\/(-8))\/((-2)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 805, 1617, 2419, 3205, 3969, 4705?\n\"Answer: -v**3 + v**2 + 816*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139.3 + 139. Sort 0, -1, v in decreasing order.\nAnswer: 0, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16404 divided by 73679.\nAnswer: 16404\/73679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(40)\/sqrt(16) + sqrt(10))\/(sqrt(20)\/sqrt(4)*-6) + -3.\nAnswer: -3 + 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511e (base 16) to base 9.\nAnswer: 31433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 - -45. Let v be 2 - ((-2)\/l*4 - 1). Let t = 61\/495 + 1\/99. Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0518 - 832.0518. Let l = b + 654.2. Round l to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 36 = -4*b. Suppose o - 6 = -s, -o - 3*s - b = -8*s. Suppose 7 - 52 = -3*u - 2*i, 0 = o*u + 3*i - 42. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58362742, 58362752, 58362762, 58362772, 58362782, 58362792?\n\"Answer: 10*y + 58362732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-1) + -9 + 0. Let t = 9 + k. Let s be (-4 - -1)*(-2)\/t. Solve -15 = 3*r - 3*d, -s*d + 0*d - 10 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-44 - 7 - 30)*(-2 - 2 + 2) + (-3 - 1 + 3)*(-4 - 1 + 2))*(v + 2*v**4 - v) - 5 - 2*v**4 + 5.\nAnswer: 328*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*g**2 + (1 - 1 + 4*g)*(4*g - g - 2*g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 + -166. Suppose 26*t - 25*t - n = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7 - 15 - k)*(k - k + 2*k)*(2*k + 10*k + 3*k)*(4 + 2 - 3 + (-5 - 1 + 4)*(0 - 4 + 3)).\nAnswer: -150*k**3 - 150*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2299) + sqrt(2299))*2 - (0 + sqrt(2299))*4 - ((sqrt(2299) - (-2*sqrt(2299) + sqrt(2299))) + sqrt(2299) + -1)*2)**2.\nAnswer: -528*sqrt(19) + 82780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -321 + 323. Solve -y*a - k - 5 = 0, 2*a - 2*k - 3 = 7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(605))**2.\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25*v**2 + v. Let s(i) be the third derivative of 5*i**4\/24 - 21*i**2 - 51*i - 2. What is s(f(m))?\nAnswer: 125*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 - 8) - (11 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/3 + (-8)\/(-12). Let k = 8 - g. Suppose k*v + v = -12. Put v, 4, 2 in decreasing order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(198\/81 + -2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a hour in seconds?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**2 - 1950*d + 3892 = 0.\nAnswer: 2, 973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1655 + 1?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 11. Let k be 3\/p - 46\/6. Let y = 12 + k. Solve 4*c - 3*u - 7 = 0, 0*c = y*c + 3*u - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 20 = -5*f, -2*f + 5*f = 2*g + 22. Let x = f + -13. Let p = -6 - x. Sort p, 5, -2 in descending order.\nAnswer: 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 17, s: 3}. Give prob of picking 3 s.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*y = -16. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*q - 262 + 262. Which is the closest to -2? (a) -16\/5 (b) 7 (c) q (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -39, -0.4, -4 in descending order.\nAnswer: 12, -0.4, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 4*i**3 - 2*i**3)*(238 - 118 - 118 + 199*i).\nAnswer: 398*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 2\/3 (b) 1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-14) - (-2 - -3). Let p be ((-28)\/(-3))\/(2 - 168\/54). Let y = 89\/10 + p. Put y, z, 1\/4 in descending order.\nAnswer: y, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 816 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614860*v - 7 + 7089394*v + 1085912*v.\nAnswer: 8790166*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 92\/12 - 4\/6. Let s(p) = 8*p**2 - p**3 + 9 + 3 - p - 19. What are the prime factors of s(g)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 363 - 556. Let m = v - -115. Round m to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -42, 70, 270, 570, 982, 1518?\n\"Answer: 2*g**3 + 32*g**2 + 2*g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 93*k**2 - 468. Let s(t) = -116*t**2 + 470. Let u(b) = -5*n(b) - 4*s(b). Let f(d) = -d**2. Determine f(u(i)).\nAnswer: -i**4 + 920*i**2 - 211600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(240))\/sqrt(5) + ((sqrt(72)\/sqrt(3))\/sqrt(8))**2 - (sqrt(24)\/(sqrt(4)*2))\/sqrt(2).\nAnswer: 3 + 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -30. Suppose -10*c + h*c = -12. Solve q = 4*y + 21, c*q + q = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fooffooooomoofoooff. Give prob of sequence mf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 262 - (-8)\/(-4*1). Suppose 91 = -2*j + 3*b + 7, 5*j + 5*b = -z. List the prime factors of j\/(-9)*(-9)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 41*n - 52*n - 46*n**3 + 6*n**2 + 47*n**3 - 4*n**2 as w*n + t + d*n**3 + x*n**2 and give w.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -14 in decreasing order.\nAnswer: 5, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 37 = 5*r, 3*r = -291376*h + 291375*h + 21 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j**2 - 3*j + 2. Let r(n) = 21*n + 106. Let v be r(-5). Calculate the lowest common multiple of 60 and a(v).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-4 - 20)) + -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - (-1072)\/(-20). Let b = s + 85. Suppose -23 = 8*q - 999. Calculate the remainder when q is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/10401920 and 41\/96.\nAnswer: 31205760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23\/2 + 67\/6. Which is the closest to 6? (a) -4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -830.4854 + -12.\nAnswer: -842.4854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from cgfxefcfgefegcetfg?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w - 847. Determine l(-70).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 17 = 2*z + 2*r, -r = -z - 278 + 277 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -307.\nAnswer: -307.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 7:26 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (35\/(-15))\/((-2)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 - 7*c - 8. Suppose -4*b - 24 = -b + 3*r, 0 = -3*b - 5*r - 32. What is the tens digit of u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283*h*o**3 - 2*h*o**2 - 34*o**3 - 166*o + 2 wrt o.\nAnswer: -1698*h - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4*q - 10)*(0*q**3 - q**3 + 2*q**3)*(-3*q + 5*q - 4*q).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, -5, 12, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**3\/4 + 2903*b**2 + 463411*b + 184900 = 0?\nAnswer: -2150, -172, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755084919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31267226?\nAnswer: 2, 15633613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33558024 is divided by 110?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25777\/3346 - 5\/478. Which is the closest to l? (a) 0 (b) 1\/5 (c) -0.2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 6*i**2 - 7*i. Let v be x(4). Suppose d = -5*a + 5*d + 4, -v*a = -d - 12. Sort -1, 0, a in increasing order.\nAnswer: -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 17*b**2 - b + 7. Let x(k) = -9*k**2 - 3. Let m(w) = -2*j(w) - 5*x(w). List the prime factors of m(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*z = -74218 - 68659, 3*f - 214335 = -2*z. What are the prime factors of f?\nAnswer: 71443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 2. Let k be ((-4)\/21)\/(o\/54*6). Which is the second biggest value? (a) 0.4 (b) k (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 - 146 = 5*c. Let f = c - 147. Find the common denominator of -19\/16 and f\/4 + 9\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*z, 9*z - 4*z + 5*r + 15 = 0. Suppose s = 5*i + 77, -3*s - 3*i = -8*s + 275. Suppose s - 252 = -z*l. Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -363635b7?\nAnswer: -36363600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*j - 16 = 3*j, 47 = 5*z - 4*j. Solve 3*t + z - 1 = -o, 5*t + 22 = o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 + -48. Suppose v = 4*j - 7*l + 2*l, -5*j - 4*l + 84 = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 78\/12)\/(8 + -7). Which is the smallest value? (a) 6 (b) l (c) 4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*21\/(-27) - (-9 + 9 + -2). Let n(k) be the first derivative of 0*k - 4 + 19\/2*k**2 + h*k**3. Find the second derivative of n(o) wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4706514 to the power of 1\/2, to the nearest integer?\nAnswer: 2169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.5. Let l = 5 - 7. Let m = l - -2.5. Which is the nearest to -2\/3? (a) w (b) m (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + 26. Let w = -1 + t. Suppose 0*f + 4*f = 72. Calculate the least common multiple of f and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/(-10))\/((990\/(-25))\/6 - -9). Let x(w) be the third derivative of v*w**3 + 1\/24*w**4 + 0 + 0*w - 8*w**2. Calculate x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:57 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 61*j + 98*j - 160*j. Let n(z) = -10*z + 2. Give p(n(v)).\nAnswer: 10*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 13*q**2 + q - 7. Let p be t(13). Suppose 3*g + p = 6*g. Solve 3*k + 0*f = -4*f - 8, -4*f = -g*k + 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/22 + (-210)\/(-66). Suppose -5*v + 3*v - a + 235 = 0, 4*v + u*a = 475. Is v a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*z + 5 + 20, 0 = 2*z - k + 3. Let m be z\/(-2)*(-11 + 10). Which is the second smallest value? (a) m (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*l = -28, l = 2*n - 0*l - 13. Suppose -6*j + n*w = -j, -4*j = -3*w. Suppose -3*x - 7208 - 3472 = j. What is x rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9807013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 18*q**2 + 2*q + 48. Calculate x(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/o**(5\/3))\/o)**49)**(-32))**(-26\/3) assuming o is positive.\nAnswer: o**(-81536\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2. Let f(d) = -3*d**2. Let t(u) be the third derivative of u**5\/12 + u**2 - 28*u. Let s(g) = -9*f(g) - 4*t(g). Calculate y(s(p)).\nAnswer: 294*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109.37 + -110. Let l = j + 0.53. Let b = -4.8 - -0.8. What is the closest to -1 in b, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937056?\nAnswer: 2, 11, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvla when four letters picked without replacement from {l: 2, a: 2, m: 2, v: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-45) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -22.9997. What is p rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -153537 and -131?\nAnswer: 20113347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = 5*a. Let i be (6\/8)\/(-2*(-1)\/8). Suppose i*z = a*q - 20, -2*z - 14 + 2 = -2*q. Is q at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Let u(y) = y**2 + 18*y + 33. Let g = -81 - -65. Let s be u(g). What is the highest common factor of z and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 6 = 5*j, -3*j = -4*o + 151. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13264 and 9948.\nAnswer: 39792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/13? (a) 8 (b) 2\/7 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -535639 + 775639. What is o rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) 1\/4 (c) -34 (d) 1 (e) 31 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = 0, 2*q - 28 = -7*n + 2*n. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120112100020 + -1121021?\nAnswer: 120110201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2 = -5*o - 1, 9 = -4*d + o. Let c = 4 + d. Suppose -c*u + 69 = u. Solve -5*z + z + u = 3*q, -3*q = -3*z - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c + 22 = 24*c - 12*m + 16*m, 2*c - 15*m + 64 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 967*i - 969*i + 62. Solve 0 = -3*q - 28 + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -646 - -441. Find the common denominator of -103\/22 and 1*-4 + p\/(-40).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3778 - 3778.5. Let v = 14.6 + -14. What is the nearest to 0.2 in v, a, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 - -10.15. Let u be (-1 - (-24)\/30)*1. Sort 0.5, u, k in descending order.\nAnswer: k, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -129, -123, -117?\n\"Answer: 6*j - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1032 and 591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -3.9. Let w = 0.19 + 0.31. What is the second smallest value in w, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 97 (b) 0.2 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3527 + 3527. Let f(c) be the third derivative of 1\/30*c**5 + j + 7*c**2 + 0*c + 0*c**3 - 1\/8*c**6 + 0*c**4. Find the third derivative of f(w) wrt w.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.5864401334 plus 3?\nAnswer: 97.5864401334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7298.177 and 0.089.\nAnswer: 7298.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206232399 to the nearest integer?\nAnswer: 14361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Let n be 1\/12*(k - -1). Suppose 4*y - 11 = 5*h, -10 = -5*h + 3*h - 2*y. Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h + 8. Let a(s) = -s**2 + 6*s - 4. Let x be a(h). Solve 4*i + 3*m = x*m + 12, 0 = -i + m for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 16*s. Let m(y) = 144*y + 5. Calculate q(m(v)).\nAnswer: 2304*v + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.0555 times 3.46\nAnswer: -0.19203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -78622 (base 9) in base 14?\nAnswer: -15093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*z + 8 = 47, 0 = 4*z. Suppose -2*g + g + o = 0. Calculate the common denominator of -19\/12 and (g\/80)\/((-11)\/(-44)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, j: 3, q: 2, k: 2}. Give prob of sequence jt.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 20*p - 84. Let u be x(13). Solve -3*o - u = -n, 0*n - 21 = 3*n + 5*o for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 29. What is b(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -71280 divided by 165?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p*p**(4\/3))**38)**(1\/56) assuming p is positive.\nAnswer: p**(19\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + -12 + 29)*4\/(-36)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) 0.5 (c) 2\/29 (d) 1\/3 (e) 4\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23514691 - 0.5.\nAnswer: -23514691.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41873924.\nAnswer: 2, 17, 615793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.26 - -23.31. Sort -3\/13, -2\/9, 1\/2, z.\nAnswer: -3\/13, -2\/9, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*w = 9*g - 35, -g = 3*w - 7. Suppose 1 = 2*q - g. Suppose -3*z + 26 = -z + q*a, 0 = -a - 1. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 4*l**2 - 2*l + 6. Let t be m(4). Let i be (t\/3)\/((-8)\/36). Solve -4*b + 2 = -i*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4386166017 minus 3602?\nAnswer: -4386169619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p**2*r**3 - 28*p**2 - 16167*p + 1601*r**3 wrt r?\nAnswer: -12*p**2*r**2 + 4803*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, p: 1}. Give prob of sequence uhp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2448\/5 - -490. Let m = -70\/9 + 73\/9. Let i be (-2)\/5 + (-18)\/105. Put -3, i, f, m in ascending order.\nAnswer: -3, i, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 57 - 123. Suppose -4*y + 57 = -0*y + m, 4*y + 4*m - q = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 14 = 39, -v = -4*j - 44. Let k = 57 + -31. Suppose -2*q + 3*b + 8 = -b, -k = -3*q - b. What is the greatest common divisor of v and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426756 is divided by 1060.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 12*s - 11*s - 9480, 18912 = 2*s - 2*w. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 69.\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/15 > 353.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 0 (c) 2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 11, n: 5, f: 1}. Give prob of sequence gf.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7163 = 5*h + 7113. Solve -4*k = 4*a - 24, -5*k - 12 = -3*a - h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000024459588 rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, 293, 1769, 4635, 9353, 16385, 26193, 39239?\nAnswer: 55985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (12 + -6 - 2) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v = -62*v - 5*o + 12, -6*v - 2*o = -100 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3 - 1. Let h = -19.519 - -1.589. Let j = -18 - h. Which is the third biggest value? (a) 1 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7597415 months to centuries.\nAnswer: 0.00146645125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2*x - 24 = 0. Suppose 0 = -3*w - 2*m + 1409, 0 = -2*m - x + 2. Let i = -260 + w. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + 55*z**2 - 21*z + 94. Calculate j(-28).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/27681 and 88\/45.\nAnswer: 415215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 696793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42\/13? (a) -0.4 (b) 0.2 (c) 1 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 10 = 0. Solve h = -5*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(480)\/(sqrt(288) - (sqrt(288) - sqrt(288)*-1)))\/(1*sqrt(12)*-1*-2)*4.\nAnswer: -sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.0312, 1\/12, 1\/4, 0.3, -0.019?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -161.442.\nAnswer: -160.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -137. Suppose 0 = 7*c - 3*c - 4, b*a = 3*c + 2687. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202548227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = -4*o, -5*o - 18*k + 12*k = 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 1, p: 1}. What is prob of picking 2 g and 1 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1551277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 13, -26, -101, -224, -407, -662, -1001?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(7) + 0)*2*-5 - (sqrt(378)\/sqrt(3))\/(-5*(sqrt(2) - sqrt(8))).\nAnswer: -53*sqrt(7)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eve when three letters picked without replacement from fvxvvxxfvfvefvxvfex?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06702 in 0.3, -0.14, -366?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 352511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3870 and 2520?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 116 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 3. Let p be d(5). Let v = p + 32. Calculate the least common multiple of 2 and ((-3)\/v)\/((-1)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 + 2*c**2 + (-1 + 2*c + 1)*(-2 - 2*c + 2))*(-6*c**2 + c**2 + 4*c**2).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxxo when four letters picked without replacement from xbbobxxxobox.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1051\/6 - 175. Which is smaller: u or 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-2 - (-28)\/7. Factor 2*s + 3*s**2 + 0*s**m + s + 3*s**3 + 3*s**2.\nAnswer: 3*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011784383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79955406, -79955415, -79955424, -79955433, -79955442?\n\"Answer: -9*m - 79955397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/11))**32*k**(-3\/10)*k**(-4\/15) assuming k is positive.\nAnswer: k**(1733\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -6460325.958 and 5.\nAnswer: -6460320.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -6. Let m(k) be the second derivative of -k**3\/3 + 6*k**2 + 2*k. Let d(y) = -y + 11. Let s(z) = 3*d(z) - 2*m(z). Determine s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -0.1 (c) 2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1695 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6, -2\/2359, 190?\nAnswer: -2\/2359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 885 less than 885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/14150 and 107\/450?\nAnswer: 127350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 22253*w - 111191. What is r(5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14 + 11 + (-6)\/(-2). Solve c = -z + 2*h + 1, 13 = -2*z + 5*h + 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q + 498. Let d be f(-45). Let x(z) = -z**2 + 5*z. Let n(h) = 4*h + 1. Let b be n(1). Let g be x(b). Solve 0 = -d*y - g*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18049375 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 952876 > 952872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18076181 is divided by 1652.\nAnswer: 1649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16008 + -16006. Solve 5*u = 2*h - 154 + 152, 4*h - 4 = z*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*w - 7, 4*w + 5 = -2*c + 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*((z\/z**(-2\/57))\/z)\/z)\/((z**(-1\/12)\/z)\/z)**44 assuming z is positive.\nAnswer: z**(5569\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46730.\nAnswer: 2, 5, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 2355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (-1)\/((-1)\/(-4)). Suppose 4*k - 176 = -2*d, -2*d - 3*k + 177 = -0*k. Calculate the greatest common divisor of v and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.9. Let m = 20611 - 20611.9017. Let t = m + x. What is t rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143661 is divided by 101?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42773, -42772, -42771, -42770?\nAnswer: -42769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(13720\/147))\/((396\/(-15))\/(-2)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6654957.2 rounded to the nearest 10000?\nAnswer: 6650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101102112120021 (base 3) to base 4.\nAnswer: -111020322211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5000 and 8.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14225128, 56900527, 128026182, 227602087, 355628236, 512104623, 697031242, 910408087?\nAnswer: 1152235152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19525, 3, 2.9 in decreasing order.\nAnswer: 3, 2.9, -19525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 177 in -0.049, 0, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11529 is divided by 226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 23 - 28 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -9 + 17 + 16*h + 9 - 5*h + 13*h**2. Is t(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose 2*g + 12 = k*r, -g - 4 = 2*r - 3*r. What is the fourth biggest value in 2\/17, 0.4, 4, r?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 8530\/3693?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 24 = -5*t + 11, -5*t = -4*i + 1. Solve 2 = r + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 13. What is the units digit of ((-115)\/(-10))\/(2\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-3)\/(-3))\/((-2)\/6). What is the common denominator of 0 + 34\/14 + 1\/p and ((-151)\/9)\/((-10)\/3)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850.65 milligrams in nanograms?\nAnswer: 3850650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 157\/5 (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5\/7 - 10104*o**4\/7 + 1264020*o**3\/7 + 30320*o**2\/7 - 3812304*o\/7 + 361152 = 0.\nAnswer: -2, 1, 132, 2394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3660)\/(-4 + 3\/855 - -4). Round k to the nearest ten thousand.\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8 + 41 = w, 0 = -3*s - 2*w + 31. What is the smallest common multiple of 4 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.21346 nanometers to meters.\nAnswer: 0.00000008921346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.592628ml in litres?\nAnswer: 0.000592628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 - 2*b**2 - 8*b - 7. Give o(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 102. What is the nearest to w in 3, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/72 - 7*o**3\/18 + 49*o**2\/12 + 4*o. Factor j(t).\nAnswer: (t - 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 21434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30289 is divided by 3362?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -220 - -248. What is the second derivative of p + 12*q + 4*q + 31*q + 78*q**5 - 29 wrt q?\nAnswer: 1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/6 - ((-1276)\/12 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l**2 + 6*l - 4. What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2953 (b) -47 (c) 0.109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 5:28 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 - 3*v**2 - v**3 + 4*v**3 + v + 3. Let s be f(-3). Suppose -b + s*b = -6. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 5 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16\/21 + -3\/7. Suppose 0 = 5*o - 4*r + 40, 4*o - 3*r + 8 = -23. Let b = -3.04 - -0.04. What is the second biggest value in b, o, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0*b**5 - 1\/10*b**6 + b + 1\/2*b**3 + 0 + 0*b**2 + 0*b**4. What is the second derivative of d(i) wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 - 2*j + 8. Let h be x(-3). Let q(d) = 5*d**2 + 22*d**3 - h*d**3 - 3*d + 6*d - 2 - 4*d. Calculate q(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.2 + 0.11.\nAnswer: 15.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**8\/2240 - h**5\/30 - 3*h**3 + 2*h**2 + 7. Let d(f) be the third derivative of w(f). Let c(z) = 0 + z**2 + 0. Give d(c(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -87. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x - x**3 - 2*x + 42*x**2 - 38*x**2. Let m be n(2). Find the third derivative of -p**2 + 3*p**m - p**6 - 3*p**4 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -176, -698, -1580, -2822, -4424, -6386?\n\"Answer: -180*q**2 + 18*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1496)\/(-8) + (-1 - -4). Let t(s) = d*s - 190*s - s**3 + s**2 - 6. Give t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7126105?\nAnswer: 5, 7, 97, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1872)*1 + -5 + -3).\nAnswer: -48 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13516 + 13583. Which is the third smallest value? (a) 0.4 (b) 0.5 (c) 3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43172 + -13331.\nAnswer: 29841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 24*g**2 - 43*g + 15. Let n be (-8)\/(-6) + 7630\/(-327). What is u(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/239 + -3337\/717. Suppose -2*c + 7*c - 5 = 0. Calculate the common denominator of d and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 + -4260541311196.\nAnswer: -4260541311196.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Suppose -5*p - m*z = -25, -2*z - 2 + 3 = -p. Let w be (-1 + 0)*(-9)\/1. Solve k = p*b + 4 + w, 0 = -b - 5*k - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9 = 2*p - 6*p, 0 = p + 4*a - 12. Suppose -8*j + 3*j = p. Is j greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-12) + 3 - (-76)\/(-304).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1275, -1272, -1269, -1266, -1263, -1260?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/176472 and -53\/13072.\nAnswer: 352944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 256672417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d - 4. Determine q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2 + 351*o + 378*o + 211*o - 28*o + 1003 - 92 = 0.\nAnswer: -911, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (990\/44)\/15*-10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 4*k + 7. Let a be h(4). Let o be a\/(-6) + 7\/(-42). Suppose 50 = o*b - 14. What is the least common multiple of 46 and b?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225316 and 1820?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10222231112 (base 4) to base 5\nAnswer: 303123020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -12270.6583.\nAnswer: -12271.0583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1161\/(-18)*2\/(-48) and 55\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -67, -64, -49, -16, 41, 128?\n\"Answer: r**3 - 4*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 0 + 16 + (-13 + -15 + -1 - -15).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 16*w + 49*w)*(19*w - 21*w + 81 - 24)*(-2*w + 6*w + 0*w) in the form y + j*w**2 + l*w**3 + k*w and give l.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 0, u = -0*u - 2*m + 4. What is the remainder when 6 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + -1)\/(-2 + 3). Let m = 2 - g. Solve -2*k - k - 10 = 2*t, -m = -t + 2*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2 - 1 = 0. Suppose 0 = 107*b - 105*b + 5*k - 28, -3*k + 8 = -b. Sort v, -5, b in decreasing order.\nAnswer: b, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68126, -68310, -68494, -68678, -68862?\n\"Answer: -184*k - 67942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8 - 8 + 3*w - 5. Let z be c(8). Suppose 238 = 4*r + z*k + 41, -4*r + 3*k = -179. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42841 (base 11) to base 15\nAnswer: -13694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 34*u - 172. Determine m(19).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4233 by 6.\nAnswer: -1411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 3*j**2 + 88*j + 46. What is x(17)?\nAnswer: -2504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (2 + -4 - -7). Let n = b - -7. Suppose 2*v - n*v = 4. Sort v, 0, -5 in ascending order.\nAnswer: -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16874.391267 to the nearest 100.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s - 73. Let q be g(-10). Solve 2*d - q = -3*r, -3*d - r = -0*r + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1152 and 6.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4608 in 7, -0.06, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, 4765, -88?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**3 + 3*w**2 - 3*w - 3. Let y(v) = 16*v**3 + 8*v**2 - 8*v - 8. Let t(u) = 68*u - 343. Let q be t(5). Determine q*y(z) + 8*l(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**3\/6 + 11*l**2\/2 + 5*l. Let p be d(9). What is the second derivative of -p*q**2 + 3*q**2 - 5*q - q**2 - q**4 wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4915 (base 14) to base 4.\nAnswer: -3013113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 25 + 5 - 345*p + 9 + 9.\nAnswer: -345*p + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2324 - -239368\/103. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**4 + 385*i**3 - 1633710*i**2 - 4905880*i + 6539200 = 0?\nAnswer: -610, -4, 1, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6389 - -6388.9. Let s be -1 + 1 + (-6)\/11. Let l = 19 + -19. What is the nearest to 1 in f, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 22*y + 2092. Let k be r(-58). What is the third biggest value in k, -2, 227\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -45. Let k(o) = o**2 - 2*o - 4. Determine k(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*4 + (-3152055)\/98625?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.52 + 2.52. Let u be 6*3\/(18\/(-4)). Put 0, u, a in decreasing order.\nAnswer: a, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2 + 83*b + 378. Determine g(-5).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -109 and -0.605?\nAnswer: 108.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 29*r + 480 = -10*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7885 - -7965. What is the smallest common multiple of p and 6500?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 63. Let u be -1*(5 - 3) - r. Find the third derivative of -u*c**2 - 18*c**2 + 18*c**3 + 4*c**2 wrt c.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 12, 22, 36, 54?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/7 in -3, 0, -2, -6, -142?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 + 0.28. What is the closest to g in 1, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86139*c + 86142*c + 10 = m, 5*m = -9*c + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*9864\/1370.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*f**3 + 16280*b - 30225*f**3 - f**2 wrt f?\nAnswer: -6*b - 181350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and -85.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -78*k - 67. Is i(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -310\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(((-24)\/(-44))\/3). Solve -2*u = 6, 2*u = -0*m + m - f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 711 and 1845855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1. Let a(y) = 13*y**2. Let i = 14448 + -14449. Calculate i*a(u) + 2*h(u).\nAnswer: -13*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 18050.\nAnswer: 23\/9025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 3*s - 2. Let v be b(4). Suppose 0 = -v*g - 3*g - 5. What is the units digit of -6*(g - 1\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-2)\/(-2*sqrt(432) + sqrt(3)).\nAnswer: 20*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 469, 906, 1343?\n\"Answer: 437*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -68. Suppose 5*l = 5, o - u*l + 4*l - 363 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 312, -5, 2 in decreasing order.\nAnswer: 312, 6, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = 3*a - 0*a. Let i(z) be the second derivative of 0 + 0*z**a + 0*z**3 + 5\/6*z**4 + 10*z + 1\/10*z**5. Factor i(c).\nAnswer: 2*c**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78038 or 77967?\nAnswer: 77967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -35 + 2 + 0 + (0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*y**2 + 109*y**2 - 223*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c - 1. Let h be s(-1). Let b = -1 - h. Suppose 4*f = -16, 2*l + 2*l + b*f = 196. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -44. Let q be (r - -12)\/(3 - (-3 + 4)). Solve 0 = -q*n + 2*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2910 + 4992. Let r be z\/(-5280) - (-4)\/10. Is -1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 87*b - 297. Let n be q(12). Calculate the greatest common factor of 279 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = -5*b + 1267, 5*b - 10 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 + i - 6. Let v be (-25)\/5*(-1)\/(-1). Let d be ((-45)\/v)\/(9\/(-6)). Let t be p(d). Calculate the greatest common factor of t and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n - 7*n - 5*n + n. Let w(h) = 13*h. What is p(w(r))?\nAnswer: -39*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -987497\/20 and -49376 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2907 and 901323.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r\/r**(5\/4))))\/(r*r*(r\/r**7)\/r))**(-1\/5) assuming r is positive.\nAnswer: r**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6008, 12016, 18024, 24032, 30040, 36048?\nAnswer: 42056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(539)*1 - sqrt(539)) + -3 - sqrt(539)) + 0 - ((6*sqrt(539)*1)**2 + -3)).\nAnswer: -19401 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 7*s + 3. Let g = 18 + -11. Is 10 a factor of x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose 3*o + n*o = 66. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7856, -16252, -24636, -33014, -41392?\n\"Answer: -g**3 + 12*g**2 - 8425*g + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1165803127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/(-3))\/((-10)\/(-15)). Let a = 16 + r. Solve a*m + 6 = -19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 6*h. Let j be 1\/((2\/(-10))\/(-1)). Let l(m) = -2*m**2 + 14*m - 10. Let p be l(6). Suppose -p*c + 19 = j. What is g(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 3*f**2 + 74*f + 191. List the prime factors of z(-27).\nAnswer: 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 37?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79918*y**3 - 2*y**2 + 2*y - 22.\nAnswer: 479508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 201790890 divided by -20179089?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 2. Calculate y(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. What is the second smallest value in 2\/11, -2, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703872313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -27365*l. Let p(v) = 3*v**2 + 15. Calculate q(p(j)).\nAnswer: -82095*j**2 - 410475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/2 - (2 - 1). Let f(m) = -22*m**3 - 2*m**2 - 2*m - 1. Does 13 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (5 + 0)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2471, -2480, -2497, -2522, -2555?\nAnswer: -2596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 16. Let t = 0 + 1. What is the smallest common multiple of u and 4\/(8\/6) - t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -156? (a) 0.4 (b) -253 (c) -20 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p - 4. Let w be 0 + (-42)\/30 + 220\/50. Solve j - w = p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2161.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/2 and -1201\/65322 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 3}. What is prob of sequence yyo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 545646 and 24998.\nAnswer: 15823734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 - 65. Which is the closest to 1? (a) 3 (b) t (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(68)*-6 - sqrt(1377)*-2)**2 + 3).\nAnswer: 3075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 82 + 38 = 0. What is the smallest common multiple of l and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293.2 + -7106?\nAnswer: -5812.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103146 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -73, -262, -631, -1240, -2149, -3418?\n\"Answer: -10*m**3 + m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, w: 4}. What is prob of picking 1 w and 3 j?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.497 - 34.19. Let b = x + -0.007. What is b rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 = -x + 4*x, 10 = -g + 4*x. Let k(u) = u**3 + 6*u**2 - 4*u - 2. What is the least common multiple of g and k(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 70 = -4*m. Suppose -q + 4*l = -2, 2*q = l - 3*l + m. Let a(v) = -v**3 + 5*v**2 + 5*v. Give a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 0 + 0 - 7 + 295*j + 47 - 297*j - j - 3*j + 2*j + (-2 + 2 + 1)*(-2*j - 5*j + 5*j).\nAnswer: -7*j + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 35 = k, 5*r - 3303733 = -4*k - 3303708 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-76) + (-6101)\/(-19). Suppose -15*f + u - 81 = 0. Calculate the remainder when 31 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60127 by -56.\nAnswer: -60127\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -204614330.\nAnswer: -14323003.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9295 to two dps.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 - 101. Calculate the greatest common divisor of t and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -5. Let w be 1\/(b\/6 + -2). Let y(l) = l - 2. Determine y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 7*w + 4*w - 34 = 0, -11 = -4*o - 3*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 156464 = -q - 27086, 3*y - 183530 = 5*q. What are the prime factors of y?\nAnswer: 3, 5, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-1 + 0))\/(14 + -13). Suppose k*w + 1006 = 4*b + 4174, 0 = -w + 5*b + 1056. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4, 5*n + 2*m = 590 + 152. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 14*i + 16. Is 4 a factor of h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k - 3. Let z(i) = i**3 - 4*i**2 - 7*i + 7. Let y be z(5). Is 13 a factor of g(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89597983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 12*d = -192. What is the third derivative of d*i - 64*i + 5*i**6 - 22*i**2 wrt i?\nAnswer: 600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 21. Let i be b(19). Solve 0 = i*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 6*x - 2*x)*(2*x**2 + 2 - 2) - 5*x**3 - 5 + 5 to h + r*x + t*x**3 + k*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5305 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21\/35*(-21350)\/29463\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*z + 10 = 0, -5*m + 20 = -m + z. What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 6. Let s = -6.1 + p. Let w = 102\/205 + -4\/41. Which is the smallest value? (a) s (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 26*g**3 + 8*g**2 + 7*g + 7. Let l(v) = -17*v**3 - 5*v**2 - 5*v - 5. Let k(x) = 5*j(x) + 7*l(x). What is the third derivative of k(i) wrt i?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11 = -5*l + 171, -4*l + 3*t = -121. Let k = 27 + -14. Suppose -q + 0*q + p + k = 0, -51 = -3*q - p. What is the remainder when l is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.112 + -0.688. Let p = y + 43. What is the biggest value in p, 1\/2, -2\/19, -6\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -1\/3 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:32 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 56*i**2 - 109*i - 412. Calculate g(58).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, k: 2, z: 6, i: 1}. Give prob of sequence yk.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 5*r. Let n = -16 + 11. What is v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12.82 (b) 112\/113 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-32))\/((-57)\/(-114)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c**2 - 3*c + 20. Determine f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005116180228 rounded to 7 decimal places?\nAnswer: -0.0051162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7701 + ((-1084)\/84 + 13 - (-2)\/(-21))?\nAnswer: 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1825*r**2 - 6*r + 6. Let g be u(3). Suppose 6113 = -i + g. Round i to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) 1\/8 (c) 0.052817 (d) 5 (e) 3 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j**3 + 24*j**2 - 5. Let z(i) = 12*i**3 + 25*i**2 - 6. Let m(t) = 6*d(t) - 5*z(t). Find the third derivative of m(y) wrt y.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1558 and 24397824.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 7}. Give prob of picking 2 b.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15a0 - -196?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 186?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1158759*j*s**2 + 2*j*s - 322914*j wrt s?\nAnswer: 2317518*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -723 - -722.669. Let y = -0.531 - p. What is the nearest to y in -2\/9, 51, 3, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37798445+2\nAnswer: 37798447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -156. What is the greatest common factor of 169 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 28 - (-1 - 1)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105725357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -26 - (6 + 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*p + p - 418, w + 5*p - 200 = 0. Suppose 0 = 6*v + 72 - w. What is the highest common factor of v and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from xffffffffxxffxfx?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3 - 948*n**2 - 3840*n - 3856 = 0?\nAnswer: -2, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-117)\/26*(-488)\/6. Let d = 633 - l. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 - 6 - (-1 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58083 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1311, 2638, 3975, 5328, 6703?\nAnswer: 8106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 355259 and 10176.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-4)\/(-38) + 1740\/(-285).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154931 - 509124 = -43*s + 229231. List the prime factors of s.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 976 and 4.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -c - 5*j, j - 6*j = 5*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3*b - b)*(-2*b**4 - 2*b**4 + 6*b**4) - 3819*b**5 + 2006 - b**2 - 2006.\nAnswer: -3823*b**5 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4f - -295?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 1. Let z(x) = -5*x**2 + 3*x + 3. Let q(i) = 3*a(i) + z(i). Calculate q(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 23*t - 19. Let x be h(4). Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180091 + 166550 = -7*r + 334548. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (57\/7)\/(-1) - (-314 - -306). Let p = 0.06 + 2.94. Let s = p + -2. Which is the nearest to -0.1? (a) 4 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from fwrwfvrruprwr.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*h - 284*h + 566*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1058976 divided by -144\nAnswer: -7354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2366 is divided by 2058.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 8*d = -90. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/5040 + m**6\/1440 + m**4\/24 - 2*m**2. Let z(l) be the second derivative of d(l). What is a in z(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = j - 0, -l + 5 = -2*j. Suppose -2*q + 0*i = l*i - 198, -3*i = -3*q + 297. What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/4 + 3*c**3 - 3*c**2 + 31*c + 10. Determine r(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*k - 430*k - 28926 = -1472 for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74.967146 - -1.487954. Let o = 76.5 - a. Let h = o + -0.047. What is h rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 0)*-2*1. Suppose 3*l = 5*u + 275 + 204, -291 = 3*u - 3*l. Let x = u + 97. Solve 0 = -2*y + f*o - 0*o - 20, -2*y + 8 = x*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 10. Suppose 0 = -2*b - 0*b + 2*m + 6, -b - 2*m + 18 = 0. Let j = b + -8. Determine u(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 302211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 23. Let s be 7\/(21\/6) + -4 - -34. Calculate the remainder when 18 is divided by a(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -729185 divided by 3.\nAnswer: -729185\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-21)*17\/(-51).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 + -12659740349691.\nAnswer: -12659740349647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*r + 25 - 25)*(-7 - 9 + 6) as w + u*r and give u.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 999 and 4144?\nAnswer: 111888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3361131l in millilitres?\nAnswer: 336.1131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 9:54 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, -3, 989, -4, 5 in descending order.\nAnswer: 989, 19, 5, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.7 (b) -1684 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/40 - 393*(-22)\/60. Calculate the greatest common divisor of 630 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 12\/(-6) + 7. Find the third derivative of -23*r**5 + 5*r**5 + 0*r**2 + 21*r**2 + b*r**2 wrt r.\nAnswer: -1080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -12*o - 26055. Let y = o - -8754. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9204378174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**3 + 0*u**3 - u**3)*(-3*u + 4*u - 4*u)*(-3 + 18 - 5) - 9*u**4 + 6*u**4 - 6*u**4 as s*u**2 + k*u**4 + y*u + z + i*u**3 and give k.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 6:55 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1086855 - 410707.\nAnswer: -1497562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2174498*h**2*n**4 - 3*h**2 + 8*h*n - 31*h + 4*n**4 - 1044*n - 1 wrt n?\nAnswer: -26093976*h**2*n**2 + 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*d + 6 = 0, -21*d = y - 22*d - 10. Suppose -g = -4*c - 6*g + 596, -c + 2*g = -136. Calculate the greatest common factor of c and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346576*21.7.\nAnswer: 7520699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*s - 97*s - 100*s + 44*s**2 - 34*s**2 - 99*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1072 and 1456?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1310362452 - -1310362294.9999851. Let k = 157 + p. What is k rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1511 - 8*p**5 - p + 4*p - 1506 wrt p?\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1458 and 6.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 70*d**2 - 2*d + 6. Let c(m) = -m**3 + m**2 - m + 3. Calculate 2*c(q) - z(q).\nAnswer: -4*q**3 - 68*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/((-41)\/(123\/4))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n + 6. Give m(-9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/30 - 1)\/(-4 + 5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -167? (a) -63 (b) 14 (c) 251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 135. Let c = -299 - -86. Let j = h - c. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*4\/(-6))\/(-1 + 0). Factor 7*s**2 + s**3 + 17*s**3 + s - 27*s**4 - 9*s + 5*s**a.\nAnswer: -s*(3*s - 2)**2*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -179*t**3 - 3*t**2 + 3*t + 3. Suppose 5*n - d + 24 = -3*d, -3*n - 16 = 2*d. Let z = 1 + n. Let r be x(z). What is r rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13270 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {e: 1, a: 3, j: 3, d: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 5*v + 230, 0 = 4*v - 8. Let x = -52 - z. Solve x*s = 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85873 to the power of 1\/2, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -14753768\nAnswer: -1\/3688442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -49)\/8*(-1 - 2)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqxaaxnaan. Give prob of sequence ns.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 1 + 9. What is the units digit of 2415\/45*(p - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1118*w - 5589. Calculate the least common multiple of 75 and a(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 241296 and 63888.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 p when three letters picked without replacement from kppkk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 73. Let u = -38 + f. Let g be -1*(3\/(-1) - 12). Calculate the greatest common factor of g and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (0 + sqrt(13)*-4 + -5)**2 + 4*sqrt(117) + -4).\nAnswer: 52*sqrt(13) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(286\/(-39))*(-8 + (-580)\/(-15)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 50. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**20\/(j**(2\/7)\/j)**(8\/3) assuming j is positive.\nAnswer: j**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31797846 divided by -3533094.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0*d**2 + 0 + 1\/6*d**3 - 12*d. Let z(t) = -2. Calculate 2*s(a) + z(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -1c2?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -1.2. Let t(q) = q**3 - q**2 - 4*q + 6. Let r be t(0). Suppose -r*h + 14 = -10. Is h < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**3 - 2*y**2 - 3*y - 10. Let g(b) = 7*b**3 - b**2 - 2*b - 9. Give -5*g(v) + 4*k(v).\nAnswer: -3*v**3 - 3*v**2 - 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 - 4*h**2 + 5*h**2)*(2 + 2*h - 2) - 3*h**3 - h**3 - 3*h**3 + 3*h**3 + 1 - 1 as u + k*h**2 + s*h**3 + w*h and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.83 + -0.17. Let m = 2 - 2.2. Which is the closest to -1? (a) -3 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or -676?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15639, 15645, 15633, 15597, 15531, 15429, 15285, 15093?\n\"Answer: -j**3 - 3*j**2 + 22*j + 15621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 2*w**2)*(0*w - w + 3*w)*(2 - 1 + 0) - 4*w**3 + 3*w**3 + 2*w**3 + (1 - 4 - 2)*(676670*w - 132*w**3 - 676670*w).\nAnswer: 665*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-8 - -10) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**2*k)\/k*k)\/k)\/(k\/(k*k\/(k*k*k**(-6))*k)*k))\/(k**(3\/5)\/k*(k*(k*k**(-2\/5)*k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26632534, -26632530, -26632524, -26632516, -26632506, -26632494?\nAnswer: -26632480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 409.0536 minutes?\nAnswer: 6.81756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 175*l + 7*l**4 - 350*l + 3*l**3 + 187*l + 2 as v*l**3 + x + f*l**4 + z*l**2 + y*l and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 j, and 1 c when four letters picked without replacement from fjfcfcfj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) + 9\/4. Suppose -6 = -4*d - v. Suppose 2*j - 44 = -4*h - 2*j, 0 = h - j - d. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*n**3 + 15*n**3 + 52*n**3.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {e: 1, w: 1, y: 4, q: 2, v: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 28. Let y(a) = 47*a - 1. Calculate y(t(z)).\nAnswer: 94*z + 1315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 2\/15, -72, -2\/7, 23?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 + 2 = 0, 0 = -5*m - 3*i - 747. Let q be (-2)\/((-20)\/m + (-19)\/30). Is (q - -1)\/(10\/4190) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*r - 39 - 48, w - r - 83 = 0. Suppose 28*l = 24*l + 116. What is the remainder when w is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -406*c**2 - 565*c?\nAnswer: -812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 191, 356, 507, 650, 791?\n\"Answer: v**3 - 13*v**2 + 197*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.21, 22, 0.028, -1\/4 in increasing order.\nAnswer: -19.21, -1\/4, 0.028, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 61, 138, 245, 382?\n\"Answer: 15*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1022)\/336*-4 + -12. Factor -1\/3*p**2 - 1\/6*p + x.\nAnswer: -(p + 1)*(2*p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5))\/b*b**(2\/11))**(2\/151)\/(((b\/(b*b**(-4)))\/b*b)\/(b**(-3)\/b)*((b\/(b*(b\/b**(-6))\/b))\/b)\/(b*b**4)) assuming b is positive.\nAnswer: b**(6538\/1661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 314*r + 883 = -712 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32192?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41355 not equal to 1\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 - -110. Let r be (19 - 11)*(w\/4 - 1). List the prime factors of ((-204)\/(-85))\/(r\/100).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (845\/(-26))\/((-740)\/(-592))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570158, 1140285, 1710412, 2280539?\nAnswer: 2850666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 15*h - 14. What is c(-15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -14716 >= -14705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -114*u**2 + 174*u + 4. Let z(t) = 114*t**2 - 176*t - 3. Let j(n) = 3*s(n) + 4*z(n). What is the second derivative of j(o) wrt o?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x - 513 = -36*x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, e: 2, b: 1, k: 1, g: 4}. What is prob of sequence kgwg?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.3 (c) -0.5 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2307170993162 + 657875965675123975\/285144. Let z = m - 2\/11881. Calculate the common denominator of z and -67\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 1917.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - u - 158 = -10, 5*b - 174 = 4*u. Calculate the remainder when b is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -2\/7 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a**3))**(7\/5)\/((a**(2\/5)*a)\/a)**(-1\/12) assuming a is positive.\nAnswer: a**(-167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325 and 1126437?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7222*l**2 - 2*l + 8. Let h be f(-12). What is h rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36718112283 and -27.\nAnswer: 36718112256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16572 and 52.\nAnswer: 215436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/1219 + 2426\/3657. Suppose -4\/9 - 2\/9*l**2 + n*l = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 257 in 1\/5, -2\/1233, -1.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3826 = -32*w - 79*w + 273119. Which is smaller: 2497 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5174, 5173, 5172, 5171?\n\"Answer: -n + 5175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 3464?\nAnswer: 3464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-612))\/(9\/18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-8 + -8 + 2 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 474.17 or -1\/2?\nAnswer: 474.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from podrnpjprnpd. What is prob of sequence opdr?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p**2 + 1. Let g be 22\/8 + (-1)\/(-4). Suppose -g*y + 24 = 4*q - 2, 0 = 3*q - y - 13. Let d(b) = 7*b**3 - 8*b**2 - 3. Determine q*w(s) + d(s).\nAnswer: 2*s**3 - 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 363 + 167. Let p be n + 11 - (2 - 1). Suppose p - 220 = 5*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 0*j**3 - j**3)*(-72 - j + 17 + 19) - j**3 - 5*j**4 + j**3.\nAnswer: -3*j**4 + 72*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 111*i - 5. List the prime factors of d(2).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9889 by 21963.\nAnswer: -9889\/21963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6124348 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039358967.\nAnswer: 3, 3881, 89269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/30? (a) -1\/2 (b) 182 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*z - 12 - 8 + 22*z + 38 - 12 in the form l + p*z and give p.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/2 - 2*x. Let w(q) be the second derivative of q**3\/3 + 4*q. What is w(t(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 364246, 728483, 1092718, 1456951, 1821182, 2185411?\n\"Answer: -p**2 + 364240*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -580, -1156, -1718, -2260, -2776, -3260, -3706, -4108?\n\"Answer: n**3 + n**2 - 586*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2495 = -20*u + 3805. Calculate the greatest common factor of u and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + -3.8. Let p = 40\/431 - -24229\/12930. Let t = 13\/10 - p. What is the nearest to t in 0.4, 1\/5, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 8\/12 + 2\/(-3). Which is the nearest to h? (a) -2 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6058272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*r*z + 6*c*z**3 - 7*c*z**2 - 57*r*z**3 + 10*r*z**2 with respect to c.\nAnswer: r*z + 6*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) 58 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1879513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2407 and 190 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -2*a - 60. Let h be (a\/8)\/(6\/8). Suppose b - 7 = -h. Solve 0 = b*i + 15 - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 + 61. Let i = u + 123. Suppose -4*j - m = -70, 3*j - i = 4*m - 0*m. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -99898.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466637.\nAnswer: 466637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 38.8031?\nAnswer: 38.9031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 11, 2, -7, -16?\n\"Answer: -9*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 200?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 6, -983, 0 in descending order.\nAnswer: 6, 1, 0, -7, -983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 22. Suppose 5*u + j - 24 = 0, j = -3*u - j + 13. Solve -u*r = -2*r - y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 1 - 1)*(2*x - 2*x + 2*x) + (-2*x - 3*x + 4*x)*(2*x - 2*x + x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y + 33 - 16*y - 11. Let b be v(2). Let m(w) = w - 11. What is m(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 39183*x**3 + 39250*x**3 - 78451*x**3 - x.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 2, o: 1, u: 2, g: 7, i: 2}. Give prob of sequence ogt.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + (0 - -6). Suppose -n*f + 5 = -5*f. What is the units digit of 4\/f*25\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60976 is divided by 186.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:41 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0.5, 1, 5, 3 in ascending order.\nAnswer: 0.5, 1, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -801 - -918. What is the greatest common divisor of 36 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 7*i + 10*i - 16 = 0, 2*c - 4*i = -22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 1 - 1 + 0.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3 + 27. List the prime factors of t\/(-8) + (-3318)\/(-56).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*p)*(-3*p + 3*p + p**2) - p**2 + p**2 + 3*p**3 + (-1067 + 2130 - 20*p - 1062)*(2 - 2 + p**2) as w + l*p**2 + y*p**3 + o*p and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 122760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 38*c**5\/13 - 92078*c**4\/13 - 1006732*c**3\/13 - 2297192*c**2\/13 - 1226800*c\/13 + 155776\/13 = 0.\nAnswer: -8, -2, -1, 2\/19, 2434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111221 + 10110?\nAnswer: 122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 20*l**2 + 22*l - 18. Let r be q(21). Solve r*p = -3*t - 15, -2*t = -2*p - 5*t - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5407 (base 16) to base 7.\nAnswer: -116500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -29*b + 32. Solve -2*i = 3 + b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(96)\/sqrt(4))\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 10:13 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*s - 4. Let x(c) = 3*c**3 - 7*c**2 + 12*c + 7. Let n(r) = -13*r**3 + 28*r**2 - 52*r - 29. Let d(b) = 2*n(b) + 9*x(b). Determine d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + (-38)\/(-10). What are the prime factors of n\/10 - (-272)\/20?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113227.343 rounded to the nearest one thousand?\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -2141, -4847, -8643, -13529?\nAnswer: -19505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1760 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*n + 123*n + 177*n + 14*n - 34*n to the form o*n + z and give o.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.065 - -1.8. Let o = t + -0.54. Round o to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**2 + s. Let m(t) = t**2 + 1. Suppose -5*w - 8 = 4*f, f + 4 - 2 = 3*w. Let l be m(w). What is k(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58630 by 1430.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from ffddffddfdfdffdfdhf?\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59927973 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*g - 1, 5*c + 18*g - 22*g - 45 = 0. Calculate the common denominator of 24\/5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*f + 3*q, 69*f = 66*f - 3*q - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -48. Calculate the remainder when x is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-10)\/15 + (-14)\/2. Sort 1, 8, o, -4 in decreasing order.\nAnswer: 8, 1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -4 (c) 1\/460 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 greater than or equal to 133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.2 - -6.1. Let r = -0.058 - -0.558. Which is the smallest value? (a) r (b) l (c) 5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 32*r**2 - 31*r - 6. Let t be q(31). Sort -2, -4, t, 2 in descending order.\nAnswer: 2, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3463, 7002, 0?\nAnswer: -0.3463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2 - 68. What is x(0)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t. Suppose t = -r - 5*h + 63, 5*h + 377 = -r + 5*r. Round r to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3853*p**4 + 21*p**3 - 19384*p - 10?\nAnswer: -46236*p**2 + 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 397365 and 5310.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*h - h = -10, -5*h + 6 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (126\/4)\/(-21)*(-4)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-35)*-7*124\/8928.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/24 - 2*q**2. Let n(c) be the second derivative of 0 - c + 0*c**2 + 4\/3*c**3. What is n(x(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -350*o**3 - 346*o**3 - 43*o + 698*o**3 + 2*o**2 as w*o**2 + p*o + r*o**3 + b and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*s - 15*s + 4. Suppose v = s*v - 93. Calculate the highest common factor of 124 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 416 + -203 + (-5)\/((-15)\/(-27)). What is the greatest common factor of 289 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:03 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86191487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 23. What are the prime factors of -3*o\/(-3) - -42?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/6 + a**3\/2 + 7*a**2\/2 + a. Let t(m) = 3*m**2 - 4*m - 10. Let x = 15 + -8. Give x*z(h) + 5*t(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 s, 1 o, and 1 d when four letters picked without replacement from {o: 1, q: 1, l: 1, d: 2, x: 1, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (18 + -31) - (1 + -1 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -361*i - 64. Let y(t) = -182*t - 30. What is 6*b(n) - 13*y(n)?\nAnswer: 200*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 907 = 5*n - d, -d = 2*n - 338. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 374280.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.179 times -37956?\nAnswer: -6794.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271.107 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 26*p**2 + 1068*p + 84. Let l be c(-41). Solve l*f = f - 5, 0 = -3*u - f - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 15 - (17 + -57)) + -20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/32 and (-210)\/(-48)*(-2 + 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1128 - 754 - 570)*(h**5 + h**3 - h**3).\nAnswer: -196*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + 6*(-6*sqrt(132)\/sqrt(4))\/(sqrt(3) - (sqrt(3) - (sqrt(3)*2 + sqrt(3))*4)) + 5 + 4.\nAnswer: -3*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - 15\/(-2). Suppose 4*s = 2*s + 82. Suppose 0 = 44*y - s*y + 12. Sort -3, n, y.\nAnswer: y, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*r = -4, 16*r - 14*r - 5 = m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a**2 + a. Let d be g(0). Suppose d = 2*b - 4*b + 108. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h + 0)*(3*h + 2*h - 4*h) + (h**2 + h**2 - h**2)*(5 + 0 - 2 + (-4 - 2 + 4)*(3 + 0 - 1) - 1 - 1 - 5) + 2*h**2 + 0*h**2 - 8*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0076817315 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 7:09 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-364))\/(1476\/287).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3000 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 74.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -4 + -4 + 0)**2.\nAnswer: -96*sqrt(2) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -98 + 618 + -1*1 + 1. Let a = r - 141. List the prime factors of a.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -398, -631, -906, -1235, -1630, -2103?\nAnswer: -2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/70 and -25\/211239?\nAnswer: 2112390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11021 (base 3) to base 6\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/18*(-10)\/3. Suppose -t = -0*t + 4. What is the third smallest value in t, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5aa - 25?\nAnswer: -5d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 4*z - 84, -g + 25 = z. Let l = z - 16. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156563 and 473?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 less than -5.976631?\nAnswer: 87.023369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 241362 and 17391726.\nAnswer: 921761478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*3)**2 - (-1 + 4*sqrt(13)).\nAnswer: -4*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 574960 to the power of 1\/2, to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 94*b - 76. Determine g(-32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Collect the terms in 1359*m**2 + 1335*m**2 + 1328*m**2 + 1374*m**2 - 6812*m**2 + 1307*m**2.\nAnswer: -109*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356591 is divided by 2459?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5030799 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d + 1. Let y = -4 - -7. Suppose 3*c = -0 - y. Determine k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 0.3. Let i(t) = t**3 + 6*t**2 + 2*t - 19. Let o be i(-5). Which is the closest to u? (a) -2\/13 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 319 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**5\/30 + 7*u**4\/8 + 4*u**3\/3 - 25*u**2. Calculate the remainder when r(-13) is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*r + 17, q - 3 = r - 2. Let w(c) = 7*c**2 - 6*c + 10. Let k(d) = -d**2 - 1. Let l(y) = -6*k(y) - w(y). Determine l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2206 (base 9) to base 10.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -8. Let i(w) = 2*w**2 - 84*w - 164. Let o be i(-2). Solve -b*x - 3 = -o*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 8 = -0*a - 2*a, 22119*a + 2*w + 8 = 22121*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811828779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 + 5*z - 8. Let x(v) = v**2 - 2*v + 4. Let g(i) = 1. Let r(s) = 4*g(s) - 4*x(s). Let l(w) = -5*r(w) + 7*u(w). Does 4 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxv when three letters picked without replacement from vlgpvxege?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2. Let f(x) = x**3 - 5*x**2 - 13*x - 5. Let r be f(7). Let i(s) = -4*s + s + r*s + 2 + 4*s. Determine i(j(z)).\nAnswer: -6*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*n - 6*n + 73*n - 146*n + 2 - 12*n.\nAnswer: -35*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01197 + 0.38803. What is the nearest to -0.0068 in v, 3\/8, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/180 - 2*g**5\/15 - g**4 - 32*g**3\/9 - 35*g**2 - 3*g + 9. Suppose c(j) = 0. What is j?\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4298729?\nAnswer: 4298729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236725.45 or 0.3?\nAnswer: -236725.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, 180.\nAnswer: 2\/5, 1, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 6 - 42. Suppose 0 = d - 3*m - 3, 3*m = -2*d + m + 46. Suppose -4*q = -7*q + d. What is the highest common divisor of q and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2206, -3287, -4368, -5449?\n\"Answer: -1081*a - 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25810110869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -21. What is the smallest common multiple of -3 - (0 + -1 + -12) and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31195, -62332, -93465, -124594, -155719, -186840?\nAnswer: -217957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 749 and 93839.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2\/14*(-490)\/(-28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y, 11*y - 8*y - 216 = -3*r. What is the highest common divisor of r and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(19)*-2)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89726482009\/3982 + 22533020. Let p = z - 1\/362. Suppose 3 = -a + 4. Is a at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -13?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**3 - 21*i**2 + 2*i + 1. Calculate f(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = -22*p - 51 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {c: 1, k: 3, u: 1, t: 4, b: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**2 + d**2 + 0*d**2 + (-4*d - 3*d + 6*d)*(d + d + d))*(-900 + 900 + 32*d) to g*d**3 + t*d**2 + z + k*d and give g.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 0 - j**2 + j**3 - 59*j - 1 + 60*j. Let d be (3\/2)\/(57\/76). Let w(m) = -2*m + 2*m**d + 50*m**3 + 2 + 45*m**3 - 98*m**3. Calculate 5*w(s) + 10*y(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 5*f = -16, 2*f - 1 = -3*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 13?\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32b8077 (base 12) to base 6.\nAnswer: -543504231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 7*j - 89. What is a(-9)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -6. Suppose -2*z = 3*z - 4*b + l, 28 = z + 5*b. Let a be 40\/18 + (-36)\/162. Solve 0 = z*d - 12, -a*d = -f - 4 - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 165 + 222*y**2 + 186*y**2 - 405*y**2)*(y**2 + 4*y**2 - 3*y**2).\nAnswer: 6*y**4 + 4*y**3 - 330*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -58 greater than or equal to -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220457 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7689*p**2 + 442 - 1162*p**2 - 866 - 548 - 770 wrt p?\nAnswer: 13054*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c - -17?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 0 - 13 + 1336*q + 6)*(-2*q + 12*q + 8*q).\nAnswer: 24048*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 48*l**2 - 6021*l - 3401. What is p(126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 3*o - 9, -4*o - 16 = 0. Suppose -1 = -2*t + x. What is the tens digit of 52*5*t\/80?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15997, 15999, 16001?\nAnswer: 16003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.122 + 92146\nAnswer: 92146.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 207\/7, -1, 4, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, h: 5, u: 4, v: 1, y: 1}. What is prob of picking 1 v and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 o when four letters picked without replacement from oooooonno.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 140162233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-557232)\/16074*54\/(-30)*(-5)\/(-8)*-2?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - u**2 + 2*u**2 - 22 - 14.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4502*r**4 - 6*r**3 + 2*r**2 - 3787168*r - 16.\nAnswer: -54024*r**2 - 36*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4358 and 25740527.\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140 - -161. Suppose -3*w + 30 = t. Solve 2*p - w = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/13)\/(p**(-3\/8)\/p))**41)**28 assuming p is positive.\nAnswer: p**(38745\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, g: 1, o: 8, y: 1}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 9*f + 12431 = 12477 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 11*l + 36 = 0. Suppose -2*f + 12 = 2*t + 70, l*f + 60 = -4*t. Sort 1\/2, -0.3, -2\/3, f.\nAnswer: f, -2\/3, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - -361. Is s a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h + 0*h**2 - 5 + 63\/2*h**4 - 19\/3*h**3. Find the third derivative of q(p) wrt p.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1001 at most as big as -1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14236 - 11153. Does 104 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 249648\nAnswer: 5\/249648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 121*n**6\/21 + 1408*n**5\/35 + 1321*n**4\/14 + 1420*n**3\/21 - 164*n**2\/7 + 16*n\/7 + 23. Find c such that d(c) = 0.\nAnswer: -2, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -259890, 5 in descending order.\nAnswer: 5, 0, -259890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1011100001?\nAnswer: -1011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -96, -144, -192, -240?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 75?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauaaaaafaaaatf. What is prob of picking 2 a?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*w**4 - w**3 - 64*w**2 + 4*w.\nAnswer: w*(w - 2)*(w + 2)*(16*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcx when three letters picked without replacement from {u: 3, t: 1, w: 1, r: 1, x: 5, c: 3}.\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 23, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 0 + 1\/6*k**4 + 1\/2*k**2 + 1\/20*k**5 - 1\/6*k**3 + 5*k. Calculate the remainder when 7 is divided by r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1863 and 22.\nAnswer: 48.0986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1\/6*n**3 - 184*n**2 + 1\/16*n**4 + 0 + 1\/120*n**5 + 0*n. Suppose t(g) = 0. What is g?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*w - 28*w - 24*w**5 + (-2*w**3 + 2*w**3 - 2*w**3)*(-2*w + 2*w**2 + 2*w) + w**5 - 3 + 3 - 2*w**5 + 5*w**5 - 2*w**5 + 3*w**5 - 3*w**5 - w**5.\nAnswer: -27*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1894000 to the nearest ten thousand.\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + 1717213?\nAnswer: 1717255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -329 - -241. Which is smaller: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 6. Let u = -7 - -11. Let h(g) = -4. Suppose 0 = -2*a + 4*a + 6, -5*n + 273 = -a. Suppose 23*x = 14*x - n. What is u*c(s) + x*h(s)?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6565 = 5*q, -2*q - g + 3414 = 787. Does 67 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d**2*o + 2*d*o - 12*d - o + 31 wrt d?\nAnswer: 10*d*o + 2*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20593 by 9.\nAnswer: 20593\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7453661mm in nanometers?\nAnswer: 745366.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 2*s + 76. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46167 - 46062. Let s = 59 - 13. What is the remainder when r is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**4\/8 + 4*h**2. Let k(g) = -2*g**2. Determine k(y(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*2 - 14. Suppose -s + 0 - 9 = 0. Let a = s - o. Does a = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148784 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 7*b**2 + 2*b. Let o(z) = z**3 + 8*z**2 + 2*z. Calculate -7*k(t) + 6*o(t).\nAnswer: -t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/11952 and -103\/8694?\nAnswer: 5772816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23717?\nAnswer: 37, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/9 - 5512*q\/9 - 3797768\/9 = 0 for q.\nAnswer: -1378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32bd (base 14) in base 10?\nAnswer: -8791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6027*m - 1078808. Determine z(179).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Sort s, 2, 5 in increasing order.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33817861 + -3.\nAnswer: 33817858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13209\/(-5688) + -1 + 3. Let i = 9\/79 + n. Let w = i - -7\/8. Is 1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 327642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24951 is divided by 24896.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 1232?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2)*(-3790)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -b8?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56044 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*2*-6 - sqrt(612) - (2 + (sqrt(612) - (sqrt(612) + sqrt(612)*2))))**2.\nAnswer: 264*sqrt(17) + 74056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q**5 + q**5 + q**5)*(3 - 3 + 5) - 4*q**5 - q**5 + 3*q**5.\nAnswer: -37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, 1, -2, -10.\nAnswer: -36, -10, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -177526807*a**6 + 2*a**5 - 25*a**2 + 470137 wrt a?\nAnswer: -21303216840*a**3 + 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 16126, 34, -2 in descending order.\nAnswer: 16126, 34, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -253?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 4:24 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28147455 divided by 285\nAnswer: -98763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7440 or 87696?\nAnswer: -7440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5508 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/35)\/((-9)\/((-315)\/50))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-70))\/((-72)\/(-45)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -35, -147, -333, -593, -927, -1335, -1817?\n\"Answer: -37*t**2 - t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**2 - 4887. Let f(m) = 2*m**2 + 42. Determine i(f(l)).\nAnswer: -20*l**4 - 840*l**2 - 13707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 430823 times -0.01\nAnswer: -4308.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -2, -0.1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 60 + 32 + 28.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1121*t + 2662*t - 1536*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/6, 68, 0.05, 3, 0.11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*h + 140, -3*b - h + 72 = -70. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 7940\/63. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16)\/(-4))\/4 + 9401 + 0.\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 342, 965, 1862, 3033, 4478, 6197, 8190?\n\"Answer: 137*s**2 + 212*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 684421673 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52580 and 18348?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*b - 12. Suppose 5*q = b - 17. Calculate the common denominator of -2\/25 and 9\/q - 24\/7.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u - 3. Let j(m) = -m**3 + 6*m**2 - 6*m - 1. Let q be j(4). Suppose q*w = 4*w + 18. What is b(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -3) + 9 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -7*f + 113 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(52\/(-13)*1))\/(1\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26796*i**2 - 80377*i**2 + 26792*i**2 + 26790*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680377 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s + 16*s + 29*s - 3*s - 7*s.\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 4*z + 3. Let v = -230 + 243. Suppose -7*u + 12 = -v*u. Calculate t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*h = -h - 16, -n = 5*h + 24. Let t(l) = 10*l**3 + l - 2. Is t(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -7. Solve -b = 3*g - 2 + 5, f*g + 5 = -4*b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 83, 91, 99, 107, 115?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, a: 4, t: 2, y: 2, o: 1}. What is prob of picking 1 a and 1 s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 32 = -5*x - 3*x - 5*s, -3*x + 24 = -3*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l + 2. Let w(m) = -135*m - 55. Let u(d) = -55*s(d) - 2*w(d). Let c(t) = 43 + 42 - 3*t**2 - 85. Give c(u(b)).\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - -46. Let r = s - 87. Sort r, 4, 1, -13.\nAnswer: -13, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25*(-1 - -2) + -5. Suppose -22*p - 60 = -h*p. Let b be (-986)\/p - (-10)\/75. What is the highest common factor of 66 and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161811738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3\/5, -0.1 in increasing order.\nAnswer: -0.1, 3\/5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q - 235*q = 2280 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - 25*l**3 + 7*l + 4*l**3 in the form o + k*l**3 + q*l + i*l**2 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 33. Let c = -2 - -3. Let l = -0.3 - -0.3. What is the second smallest value in c, l, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (4 + -9 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 6495.156?\nAnswer: -6495.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 6:02 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m. Let t = 264 + -246. Let w(d) = -37*d - 65*d + t*d. What is k(w(z))?\nAnswer: 252*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 12:59 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -6 + 4 + 1. Are i and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.186 + 21.314. Let m = 51 - a. Round m to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 297202\/(-74301) - (-5 + 1). Let m = 1098009\/198136 - q. What is the common denominator of -37\/32 and m?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 16 + 19 = -2*l, -5*a = -5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16776816 and 24?\nAnswer: 16776816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 799043 and 91189.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7 + 11 - 13*r + 7*r - r**2 + 12. Let k(p) = -2*p**3 + 3*p**2 - p. Let d be k(2). Does 8 divide u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*s**4 + 170*s - 1.\nAnswer: 1128*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -523, -543, -577, -631, -711, -823?\n\"Answer: -p**3 - p**2 - 10*p - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 522666.69 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15187019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/10)\/((-1)\/(((-770)\/44)\/(-7))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 93. Factor 5*r - 680*r**4 + 187*r - 20*r**3 + 32*r**2 + 676*r**h.\nAnswer: -4*r*(r - 3)*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3036*i + 3053*i - 6058*i - 4*i**2 - 7924 wrt i?\nAnswer: -8*i + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960775 and 600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from {c: 2, r: 2, j: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3667 = -x, -2934 = -4*c + 179*x - 178*x. Solve 737*p = c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - 4*s**3 + 0*s**3)*(0 + 5 - 3)*(-3 - 2 - 2)*(2 - 4 + 4).\nAnswer: 112*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-2)\/42). Let b = -5 + k. Solve 6*a - 2*a - 12 = 2*t, -b*a + 10 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26892 = -809*u + 8956 - 7533 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 557 = 4*s - 71, 0 = -2*w + 3*s + 289. Calculate the greatest common factor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(5\/3))\/h**(-21\/4)*(h\/((h\/h**1)\/h))**(-4\/15))**(-16) assuming h is positive.\nAnswer: h**(-1772\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1350)\/405 - (0 - 5). What is the closest to -1 in y, 50, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004855 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + a = -17*c + 21, -3*a - 17 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17183\/7 - -721823\/294. Find the common denominator of 61\/18 and i.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 5, x: 4, r: 2}. Give prob of sequence bxx.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 66*w - 72*w + 143*w)*(w - 3 + 1 + 4).\nAnswer: 2*w**3 + 9*w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 2*h)*(-4*h**2 + 2*h**2 + 0*h**2) + (3*h**2 - 4*h**2 + 3*h**2)*(0 + 0 - 2*h) + h**3 - 4*h**3 + 2*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/5 - 188\/940?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005666 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*(-6)\/192)\/(2\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12149938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a factor of 84423969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1650 and 5233973250.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 72333.01 millilitres?\nAnswer: 72.33301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 37. Suppose g = -3*g + u. Solve 0*f + 5*f + g*j = 45, -3*j + 32 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 5462729.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 2, s: 3, u: 8}. Give prob of sequence tuss.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:29 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58.1 + 30.2. Let w = 16.3 - u. Let v = w - -71.99999934. What is v rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + y**3 - y**3 + (0*y - 2*y**2 + 0*y)*(-1 + 1 + 2*y) - 3*y + y**3 + 3*y + 0*y**2 - 2*y**3 + 0*y**2 - 15 + 15 + 29*y**3.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*z + 23, 43 = 7*x - 2*x + 3*z. Let q = -10 + 15. Let n(m) = -3*m - q*m + 99 - 102. Let a(b) = 15*b + 5. Give x*n(g) + 6*a(g).\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than or equal to 12307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 - 2. Let v(z) = -6*z**2 - 3. Let q(y) = 5*a(y) - 3*v(y). Let n be q(1). Suppose 15 = n*u - u. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/83 and 69\/43574.\nAnswer: 3616642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -3, -47.\nAnswer: -51, -47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 82*g - 162 = 0, -6 = -4*k - 2*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 15*t**3 + 50 + (-5 + 5 - t)*(-2 - 2*t**2 + 2) - 3*t - t**3 + 3*t to the form q*t**3 + c*t**2 + l*t + y and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3314819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10224077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603255 a multiple of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/((-7)\/(-21)). Let c be 1 + -1 + 4 + d. Solve -3 + 15 = c*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 8:05 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Which is smaller: y or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*c + 0)*(2 + 1 + 0) + (-10 + 5*c - 8*c + 8*c)*(7 - 2 - 4) + 1 - c - 1.\nAnswer: -2*c - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -439, 0, -5 in descending order.\nAnswer: 0, -5, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1101, 4\/7, -1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15861, 63352, 142471, 253218?\nAnswer: 395593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c. Suppose 3*w + 2 = 4*w. Suppose w*f + 10 = -3*f - 5*d, -d - 1 = 0. Calculate l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.39.\nAnswer: -0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2417, 4809, 7199, 9587, 11973?\nAnswer: 14357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 3*j**2 + 7*j + 3. Let d = -37 - -42. Suppose -b = -2*b - d. Is t(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a kilogram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 157274436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 12*k**2 + 7*k + 8. Let t be r(-11). Suppose 9*p = 2*z + 8*p - 104, z - t = 3*p. What is the greatest common divisor of 52 and z?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694\/13 less than or equal to 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**2 + 50*w - 1389?\nAnswer: -2*w + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732990 and 17490?\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {t: 4, m: 3, y: 1, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13188230 rounded to the nearest ten thousand?\nAnswer: -13190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6805*u**2 + 2 - 1 + 208*u**3 - 6819*u**2 to f + s*u**3 + a*u + p*u**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -782 - -1167. Let n(f) = -f**3 - 18*f**2 - 76*f + 66. Let q be n(-11). Calculate the highest common divisor of q and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006998299536 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:33 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184549*p + 10035284 wrt p?\nAnswer: -184549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, 0.0189, 2, 33, 5\/2?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o + 2. Suppose g = -0*g - o. Let f be -159999 + g - (6 + -6). Round f to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3339 (b) -20 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1020706723 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.197 - 0.19699739. What is v rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 27018 - 26888 = 0 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*d*m**4 + 2*d*m**2 + 21*d - 2*m**3 + m - 4 wrt m?\nAnswer: 492*d*m**2 + 4*d - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = s - 29, u + u - 4*s = 24. Suppose -3*o + u = -o. What is the units digit of o\/((0 + -1)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 82*k**2 + 157*k + 928. Give d(84).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15))\/(-266*(-3)\/1425).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 75 = 93. Suppose -g = -11*x + 10. Let m = -102 - -168. Calculate the greatest common factor of m and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56576\/468)\/68*(-27)\/6*-16?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27993145909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 13*d - 2. Calculate s(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 7 + (-13 - -19) + 4)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -11. Let c = 43052 + -43006.198. Let b = c - y. What is b rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237 + 244. Suppose -6*z + 7 = i. Solve -4*m + z*m - 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjkk when four letters picked without replacement from {m: 1, k: 3, j: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 62. Suppose 3*j = -4*r + 60 + 23, r - p*j - 32 = 0. What is the remainder when 137 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1659016 to the nearest ten thousand.\nAnswer: -1660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.529 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -665657*f**3*g**2*r**2 - 2*f**3*g*r**3 - 3*f**2*g**2*r**3 + f**2*g*r + 12461*f*g**2*r**3 wrt f?\nAnswer: -3993942*g**2*r**2 - 12*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/3 of a century in months?\nAnswer: 24800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-3) - (40\/(-12) + 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*w + 196*w - 101*w + 42 to the form i + q*w and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-160))\/((792\/(-80))\/(-33))*25?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let l(a) be the second derivative of a**4\/12 - a**3\/3 + 17*a - 3. Let b(i) = -2*i**2 + 10*i + 28. Let t(d) = -b(d) - 5*l(d). Give t(n(w)).\nAnswer: -12*w**4 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 12. Let o(w) = 10*w - 147. Let r be o(15). Differentiate 1 - x + 6 - 3*b**r + 2 with respect to b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzbbbzbzwzbzwbzzz. Give prob of sequence wzb.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21582032 divided by -20?\nAnswer: 5395508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let x be r(3). Let u(v) = 10*v. Let y be u(2). Suppose l = -x*l + y. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 g when three letters picked without replacement from {g: 2, e: 4, n: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/4*q**3 - 93\/2*q**2 - 57\/2 + 291\/4*q = 0. What is q?\nAnswer: 2\/3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 8*u = -11, -3*u + 2*u = 13 - 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**0\/q*q**(2\/3))\/(q**0)**5)**33)**48 assuming q is positive.\nAnswer: q**1056","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*k - 246, 0*k = s - k - 251. Suppose -50 + s = -r. Let b = -128 - r. Is b a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -29. Let a = -35.5 + 26.42. Let f = a + m. Round f to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 8*x. Let c = -6349\/140646 - 2\/6393. Is c less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68831 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 + 10*n**2 + 22*n**2)*(2*n**2 + 5*n - 5*n) - 39*n**4 + 919*n**2 - 919*n**2.\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 + 4*a + 2. Let s be l(4). Suppose 2*o = -i + 95, 5*o - i + s*i - 236 = 0. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -93788.\nAnswer: 18757.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49505 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -46*84\/(-908040)*2\/1?\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 15 - 1. Let d(j) = -j**3 + 17*j**2 - 17*j + 14. Let w be d(h). Let u be (-69)\/24 - 10\/80. Which is greater: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 69830 - 69830.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18315953*m**4 + 8*m**2 - 8*m + 977 wrt m.\nAnswer: 439582872*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -4, 14, -26, -0.2, -11\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x - 4. Suppose 5*p + 5*o - 20 = 0, -3*o + 2*o = -3. Let f be (p - 3)\/x*0. Solve 3*l - 6 = -f*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10357065, -10357245, -10357427, -10357611, -10357797?\n\"Answer: -r**2 - 177*r - 10356887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24118.\nAnswer: 2, 31, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -714100 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 70, 270, 470, 670, 870?\n\"Answer: 200*y - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-8) - 12361\/(-1128) and 133\/414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-14)\/42)\/((10\/15)\/(-1)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372729.\nAnswer: 3, 7, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 150560 - -1?\nAnswer: 150561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 + 0.41.\nAnswer: -1.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4410 divided by -18?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 12*m**2 + 14*m - 3. Let z be c(13). Suppose z*n + 441 = 13*n. Suppose -4*x + x = -n. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247\/86 + 5\/129. Calculate the common denominator of (-60)\/(-150) + 7\/(-10)*7 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10.7. What is the biggest value in z, 0.1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -26. Suppose 0*i + 312 = l*i. Suppose -s + i = 8. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 18. Calculate the least common multiple of 24 and o(-3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 5*x - 3. Determine q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -231\/5. Let p(a) = 4*a + 18. Let m(o) = 2*o + 9. Let h(q) = 13*m(q) - 6*p(q). Let s be h(-4). Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15624 * 203.72\nAnswer: 3182921.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-221*k - 302*k + 376*k)*(-2 - k**3 + 2)*(3*k + 1 - 1)*(4 - 3 + 1).\nAnswer: 882*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 229*n. Let s(x) = 21580*x**2. Give h(s(d)).\nAnswer: 4941820*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-14)*224\/(-96).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*i - 114, -168*t - 2*i + 109 = -346*t + 179*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2765962.93 and 5.58622?\nAnswer: 2765968.51622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*z - 970 + 2693 = -1539 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1926)\/705)\/3 - -1. Let q = -21049\/3760 - n. What is the common denominator of q and -93\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32952 divided by -1373?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.77 - -3.23. Let x = 2.44 - 2.24. Let c = 73 + -143\/2. What is the nearest to x in c, u, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -48856, -195550, -440036, -782314?\n\"Answer: -48896*h**2 - 6*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0069333095 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 161 (base 9) to base 11\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 60 - 66)*(-19*q**5 + 11*q**5 + 0*q**3 - q**3).\nAnswer: 696*q**5 + 87*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 102368745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 20*m**2 + 6*m + 13. Let p be w(-5). Calculate the highest common factor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 66\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1165135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*i - 23*i + 12069 = -i + 5829 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331\/5 + 65. Let p(f) = f**2 + 6*f - 24. Let j be p(-9). Which is the second biggest value? (a) g (b) -2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 5*w**2 - 6*w + 4. List the prime factors of l(-5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*k**2 + 12*k**3 - 7915 + 4*k**3 + 7914 to p + o*k + w*k**2 + u*k**3 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 12:54 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33465 and 113490?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -r - 10 - 2, -3*j = r - 23. Suppose -l + 6*l = -3*u - r, 0 = -3*u + 12. Let v be (-2)\/l - 18\/4. Sort 4, -2, v.\nAnswer: v, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 943845645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688126.\nAnswer: 2, 17, 37, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 218, -184, -1788, -5188, -10978, -19752, -32104, -48628?\n\"Answer: -99*c**3 - 7*c**2 + 312*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 54*p**6 - 142*p**2 - 592\/3*p**3 + 28 - 40*p + 504\/5*p**5 - 42*p**4. Determine l so that w(l) = 0.\nAnswer: -1, -1\/3, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(20)\/sqrt(2)) - 1*sqrt(72))\/((sqrt(288)\/(sqrt(12)\/sqrt(2)))\/(3*(sqrt(12) + sqrt(36)\/sqrt(3)))))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**6\/140 - t**5\/70 + t**4\/84 - t**3\/2 + 2*t. Let h(s) be the second derivative of z(s). Determine d so that h(d) = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -199, -425, -865, -1591, -2675, -4189, -6205?\nAnswer: -8795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1782\/297)\/(6\/(-9)*(-2)\/(-4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (2 + -3)) + -89. Let n = -64 - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**10\/1260 + w**6\/360 - 4*w**3\/3 - 4. Let m(l) be the third derivative of q(l). Find the third derivative of m(s) wrt s.\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 480 = -64*f. Put f, -9, -5, 4 in descending order.\nAnswer: f, 4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 2 - 2)*(1307 - 1195 + 4391)*(5*p + 3*p - 5*p) to the form i + g*p + q*p**2 and give q.\nAnswer: 13509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:46 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 42. Let i(d) = d - 41. Let u(y) = -5*g(y) - 6*i(y). What is the remainder when 26 is divided by u(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-61 + (7432 - 7356)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 98.00000341. What is i rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0589 - 8.0589. Which is the closest to r? (a) -2\/3 (b) 0.06 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120110000 (base 3) to base 2.\nAnswer: -10101111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/2 + 740*o - 1481\/2 = 0. Calculate o.\nAnswer: -1481, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -74169 (base 10) in base 6?\nAnswer: -1331213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000319824 rounded to six decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8751 + -3610. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Let z be 3 - q - 2\/1. Which is bigger: -1\/8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + 0 + -19 + 2 + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.03, -1\/3, 817 in decreasing order.\nAnswer: 817, 0.03, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5067.7778956 from -0.4.\nAnswer: -5068.1778956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 7, 99, 4, 14.\nAnswer: 2, 4, 5, 7, 14, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1146 (base 13) in base 3?\nAnswer: -10022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -329561*p + 329659*p - 3724 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518.5146 rounded to the nearest 10?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60.059 + 0.059. Let x = k - -182. Let u = -121.727 + x. What is u rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4)\/m)\/(m**(-3\/4)\/m)*m**8\/((m\/(m\/(m**7\/m)))\/m))**(-19))**(31\/5) assuming m is positive.\nAnswer: m**(589\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1783 + 1137. Let i = -19633173.143 + 19633819.14299426. Let r = i + o. What is r rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 39655375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.44 - -0.04. Let o = q + -0.2. Let w = o - -0.5952. Round w to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let a(d) = -d**2 - 16*d - 18. Let k be a(-16). Let j(m) = 7*m**2 + 12*m - 18. Let t(f) = k*c(f) - 2*j(f). Factor t(p).\nAnswer: 4*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 645 - 645 + (2*o - 4*o - o)*(-5 + 2 - 1) - 5*o + 4*o - o + (-o + 0*o + 2*o)*(1 + 0 - 2).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(162) + ((sqrt(162) - (-1 + sqrt(162)))*-4 - sqrt(162)) + sqrt(162) - sqrt(162)) + 6*(sqrt(1152) - 1*sqrt(1152))*2)**2.\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-2 - 2 + 3*s + 1).\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001001010011 - -1101111?\nAnswer: 1010001011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33123102230 (base 4) to base 6\nAnswer: -222401552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h + 6*h + 2*h - 5 - 4*h in the form a*h + f and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + c**2 - 3*c**2)*(-2*c**2 + 0*c**2 + c**2) - 346 + 346 + 60*c**4 to a*c**3 + m*c + i*c**2 + w*c**4 + b and give w.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21586831139 from 0.3.\nAnswer: -21586831138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 715053102 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/10*(-3)\/2*(-2386)\/(-39369).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h + 4*n, 4*h - n - n - 8 = 0. Let p(x) = -x**2 + 2*x - 1. Let u be p(2). Is h - u - (-24 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-7*u - 8*u + 9*u)*(2 - 1 - 3)*(-5 + 6 - 2)*(-u - 4*u - 5*u).\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -2*1\/2. Suppose -2*w + 4*b - 6 - 12 = 0, -2*b = d*w. Calculate the smallest common multiple of 11 and w\/(-3)*2 + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 8. Let d be n(-4). Let k(s) = 2*s. Let f(p) = -p + 1. Let c(i) = 6*i - 8. Let l(u) = c(u) + 8*f(u). Give d*k(v) + 3*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1880a (base 14) to base 5.\nAnswer: -3440241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -385*a - 173. List the prime factors of i(-31).\nAnswer: 2, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(33)\/sqrt(3) + sqrt(99)*1 - (sqrt(396) - (0 + sqrt(396) + 2)).\nAnswer: -2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4, 0 = 4*c - 4*l - 30 - 10 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -568083*k + 77 + 150 + 284028*k + 284031*k. Determine l(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13315, 27993, 44035, 61441?\n\"Answer: 682*g**2 + 12632*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*y**3 - 149*y**3 + 412*y**3.\nAnswer: 121*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1983394 + 1983393.7999986. Let s = -0.2 - q. What is s rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncc when three letters picked without replacement from {n: 11, c: 5}?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2566*o - 46193. Determine t(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Suppose -1 = 4*q - 17. Solve -t*y + q*p = p - 15, p + 5 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*n - 715 + 4306 = -1977 - 4152 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -175 - 7406*l - 2196*l**2 - 94*l**2 - 4060*l**2 + 7581*l. Let y(q) = -73*q**2 + 2*q - 2. Calculate -2*o(t) + 175*y(t).\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:11 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4840 = -17*q - 4568. Calculate the smallest common multiple of (-1)\/(-3) + 35\/3 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 25001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3958*q + 2 - 1312*q - 1321*q - 1317*q.\nAnswer: 8*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 50 = 4*o - 5*f, 5*f + 20 = 0. Let y be (42\/24)\/(2\/24). Suppose -g - o = -y. Calculate the highest common divisor of g and 150.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1457170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -19*u. Let c(r) = -2*r**2. Give c(k(h)).\nAnswer: -722*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10011*u + 160088. What is g(16)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 15, -3 = 2*c - 2*m + 5*m. Let q(d) = -20232*d + 0 + 20231*d - 11. Let f be q(c). Which is bigger: f or -7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -250404000 - 3?\nAnswer: -250404003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 67?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**2 - 4*o - 6. Let k(g) = 18 - 1 + 36*g**2 + g + 2*g**2 + 10*g. Calculate 17*a(b) + 6*k(b).\nAnswer: 7*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/(-11) + 6\/(-33). Suppose b + j*b - 32 = 0. Let t = 20 - b. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/4 + (-1 - 0). Let h be (72\/(-10))\/(b\/(-30)). Let t = -14 + h. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101000010001 (base 3) in base 10?\nAnswer: 1791235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/21)*(g\/g**(2\/11)*g)\/g)\/(g**(-3\/5)\/g**(3\/4)) assuming g is positive.\nAnswer: g**(10457\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*n + 6984 = 27*n. Solve -5*j + 64*k = 60*k - n, 4*j + 3*k = 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 7, p: 4, x: 2, e: 2}. What is prob of sequence gpgg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (42\/357 - (-47664)\/612)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*15*19\/(-2223)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 278524919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1218 and -103\/23142.\nAnswer: 23142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 9*a - 50. Let y be p(-4). Factor -5*m**3 + 6199 + 5806 - 12495*m + 500*m**2 + 0*m**3 - 114*m**2 + 109*m**y.\nAnswer: -5*(m - 49)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let t(z) = -5454*z. Determine t(a(u)).\nAnswer: 5454*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 42*i + 7 = 45*i, -d = -3*i + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793889.\nAnswer: 793889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/42)\/(21*48\/9408).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((sqrt(468) + sqrt(468) + sqrt(468)*1)*-1)**2 - sqrt(468)) + -1*sqrt(468) + -5) + 3.\nAnswer: -16825 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12400)\/(-14000) - 2*(-6)\/(-20). Let m(f) = 6*f**2 - 2. Let w be m(-2). Let y = w - 153\/7. Which is the smallest value? (a) h (b) y (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*l**2 + 2)*(-1 - 2 + 2) + 4*l - 4*l - 2*l**2 + 0*l - 2*l**2 + 0*l + (1 + l - 1)*(-2*l + 0*l + 0*l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 + -172. Is h greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45620858 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 162 = -182. Solve h + h = 2*c - o, h = 5*c - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1475 = -5*n - 0*n. Suppose 5*w - 5*p - n = w, w + p - 67 = 0. Calculate the greatest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = -14 + 78. Calculate the greatest common divisor of 424 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*l + 5 = 0, 44 = -2*k - 5*l + 36. Let o = 0 - -1. Let m be (-3)\/k - (o + -3 + -1). Solve -16 = -4*u - m*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3 + 12 - 3 + a - 6. Suppose 4*x + 18 = x. What is w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1168\/3, -4, 2\/7 in decreasing order.\nAnswer: 1168\/3, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -35*o + 530. Determine w(13).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 49. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -58, -52, -46, -40?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**5\/20 - p**4\/4 + p**3\/2 - p**2\/2 + p\/4 - 12. Factor w(v).\nAnswer: (v - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**9\/4200 - v**8\/800 + v**7\/630 + 173*v**4\/12 - v + 66. Let p(n) be the third derivative of r(n). Factor p(f).\nAnswer: 2*f**2*(3*f - 5)*(3*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269 (base 11) to base 6.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5\/2 + 360*t**4 - 9509*t**3\/2 + 7380*t**2 + 36650*t = 0?\nAnswer: -733, -2, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9154*u**2 + 832 - 6414 + 192 - 3054 + 667 wrt u?\nAnswer: -18308*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s - 7*s + 6*s to l*s + t and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 1)*((4*b - 6*b + 3*b)*(-b - b + 0*b) - b**2 + 4*b**2 - 4*b**2 + (2*b**2 - 2*b**2 - 3*b**2)*(-3 + 2 + 2)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 5. Let o(h) = 6*h - 15. Let x(i) = -i. Let l(w) = -o(w) + 5*x(w). Let v(c) = -3*l(c) - 8*n(c). Suppose 0 = g - 6*g. Give v(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 34, 0, -84, -236, -474, -816?\nAnswer: -1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 104*i - 10073. What is f(96)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d**3 - 716*d**2 + 283*d - 317. What is t(-72)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 3)*(-2 + (19 - -5)). Let u = s - -91. Let n = 174 - u. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -11, 151, -3 in ascending order.\nAnswer: -11, -3, 7, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**2 - 4*b. Let f(l) = 20*l**2 + 60*l - 5*l**2 - 63*l. What is -4*f(a) + 3*j(a)?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185976.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19726601 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.83 or 450410?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -3 (c) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, j: 5}. Give prob of picking 3 t.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g + 10*g + 72*g**3 + (3*g - 3*g - 2*g**2)*(2*g - g - 2*g) - 2*g**2 + 3 + g**3 - 3 as k*g**3 + i + v*g**2 + j*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -15*l - 758. Give m(-50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*f*i**2 + 3*f - 7424*i**4 - 39980 wrt i.\nAnswer: -102*f*i - 29696*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(-116*a**5 + 179*a**5 + 112*a**5).\nAnswer: -700*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 766.8 - -12381.2. Let o = z - 13147.99993999. What is o rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.08, 911 in decreasing order.\nAnswer: 911, 0.08, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/5)\/((568\/180)\/71).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 57011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + -2 + sqrt(1377) + -4) + (sqrt(1377) + 4 + 6*sqrt(1377))*1 + -4)**2.\nAnswer: 540*sqrt(17) + 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 158, 547, 1302, 2543, 4390, 6963, 10382?\nAnswer: 14767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - (-46 - 7))\/(2\/2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(567)*5*-2*6)**2 - (6*(sqrt(700) + -1) + (1 + sqrt(343) + 3 + sqrt(343))**2).\nAnswer: -172*sqrt(7) + 8163418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i + 6. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -38*y + 20. Let z(p) = -24*p + 14. Calculate 5*o(a) - 8*z(a).\nAnswer: 2*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 4221821?\nAnswer: 1\/4221821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/691 + -82205\/4146. Calculate the common denominator of f and -7\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82734?\nAnswer: 2, 3, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - -1112?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 112 + 64 + 10 - 2*p**2 - 30. Let k(a) = -5*a**2. Calculate k(w(h)).\nAnswer: -5*h**4 - 1560*h**2 - 121680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -611241, -611234, -611227, -611220?\n\"Answer: 7*v - 611248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48908 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 2*m + 8, -4*x - 4*m + 19890 - 19906 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -32 - (-2 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17592042, 17592075, 17592120, 17592183, 17592270, 17592387?\n\"Answer: j**3 + 26*j + 17592015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 16. Let u be 60\/14 - (-6)\/(-21). Suppose 5*g - u = 4*g. Put -5, x, g in descending order.\nAnswer: g, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6265 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(280) + sqrt(280)*2 - sqrt(280)))\/(sqrt(40) + -2*sqrt(40)))\/((1*sqrt(144)*1 + sqrt(144))*3))**2.\nAnswer: 7\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 - 55 = 0. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**7\/210 - a**6\/60 - a**5\/60 + a**4\/12 + 11*a**2. Factor b(z).\nAnswer: z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -232 (c) -5 (d) 233.8 (e) 5 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 383511.1 litres?\nAnswer: 383511100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7441, 7446, 7453, 7462?\nAnswer: 7473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 - 6*m - 3. Let v be k(-7). Let j(x) = x**3 + 9*x**2 - 9*x + 12. What is j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752) - 3*sqrt(4752)*6)\/(-4*(sqrt(90)\/sqrt(5) + sqrt(18))\/sqrt(6)))**2.\nAnswer: 28611\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 827682.\nAnswer: -9\/275894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -12, -8, -6, -6, -8?\n\"Answer: -q**2 + 9*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4 + 607*a**3\/2 - 16274*a**2 - 138003*a\/2 - 52425 = 0 for a.\nAnswer: -699\/2, -3, -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -32.9?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 639345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 74, 77?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 = 2*n + 677. Let h(k) be the second derivative of -k**3\/6 + 2*k**2 - 4*k + 1. Give h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(285\/(-135))*(840\/(-18))\/(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 2:28 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-3\/23))\/(q*q**(-49))*(q*q**14)\/(q\/((q\/q**(-26))\/q)) assuming q is positive.\nAnswer: q**(2067\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 3*c + 3*c)*(9 + 5*c - 11*c - 3*c) to z + q*c**2 + s*c and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -66*i**2 + 3031*i - 99. Determine s(46).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 0*g)*(4*g**4 + 2*g**4 - 4*g**4) + (4*g**2 - 3*g**3 - 4*g**2)*(2*g**2 + 2*g**2 - 2*g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-12) + (-4)\/6. Suppose n = -5*p + 21 - 6. Suppose -p*c + 14 = k, -8 = -2*c - 0*k - 2*k. Solve -c*u = 5*l, -u + 4*l + 1 = -9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a7 + 1242?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -7*b - 182. Suppose 2 = 4*u - 6. Suppose -u*p + 20 = 3*p. Solve -p*g + 10 = b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-5 - 6) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*y**3 + 93*y**3 + 330 + 7*y**3.\nAnswer: 166*y**3 + 330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 3:15 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 39957.25 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*n + 1221 = n, 3*v + n = 1217. Is v a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, -600, -1351, -2402, -3753, -5404, -7355?\n\"Answer: -150*i**2 - i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427312 is divided by 2909?\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233412 is divided by 238.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 515 = 514, -3*q = 3*u + 10 - 49 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19585.94 decades in centuries?\nAnswer: 1958.594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464685?\nAnswer: 3, 5, 13, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n - 9. Let f(q) = -q**3 - 6*q**2 - 3*q - 8. Let r be f(-6). Let j be x(r). What is the common denominator of 44\/9 and 4578\/j*6\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/34*(-45)\/(-75). Let p = -49\/170 - f. Suppose 0 = 24*v - 33*v. Which is the closest to v? (a) -5 (b) -0.04 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 15*v - 3850 = 0. Suppose 88 = 2*j - v. Calculate the smallest common multiple of j and 99.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -119364466*s*z - 94439778*z wrt s?\nAnswer: -119364466*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(144*n - 461*n + 74*n)*(-4*n + 2*n + 0*n)*(0 + 2 - 1).\nAnswer: 972*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -12. Suppose a*q + 2 = 14. Suppose -t + q*x = 4*t - 29, t - 1 = -x. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -29, -1\/3, -673, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 15 + 21. Suppose i = 10*x - 11*x. Let u be (6\/(-2))\/x + -71. Which is bigger: -71 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:03 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67958*h + 8*h**2 - 32673*h - 35285*h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 - -6*(-10)\/(-30) and 582?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)\/y*y\/y**(-6))\/((y*y**(-3\/7))\/y*y**(-3\/4)) assuming y is positive.\nAnswer: y**(97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 divided by -4.\nAnswer: -113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*n = -2*g + 12, 4*g - n = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w - 5*w**2 - 13*w)*(-2*w**2 - 4*w**2 + 4*w**2) + 36*w**4 + 92*w**2 - 92*w**2.\nAnswer: 46*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2\/5, -4, 1, -37422?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: -1011113 (base 4) to base 15\nAnswer: -14ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = 0, 4 - 2 = w - 2*a. What is the third derivative of -4*o**2 - o**w + 2*o**2 + 3*o**4 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 9*m**2\/2 - 1535. Let t(l) = l**2 - 369*l. Determine z(t(f)).\nAnswer: 9*f**2 - 3321*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/4 - 12*r + 23 = 0. What is r?\nAnswer: 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/110*(-4)\/12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 18*j**2 - 18*j - 5. Let s be a(-17). Let p be (-68)\/(-6) - s\/36. What is the greatest common divisor of p and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3*t**2 + 356*i**3*t + 5*i**2*t**2*v + 2*i**2*t*v - i**2 - 484*t**2*v - 1 wrt t.\nAnswer: -6*i**3 + 10*i**2*v - 968*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120233322103 + -103?\nAnswer: 120233322000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eii when three letters picked without replacement from eieeeieieeeeie.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19\/779)\/((-1)\/(-3)). Let c(l) be the second derivative of l**5\/20 + 3*l**4\/4 - l**3\/6 - 4*l**2 - 14*l. Let a be c(-9). Is b less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -18*u - 7. Let t(g) = 10033*g**2 - 5013*g**2 - 5017*g**2. Calculate l(t(b)).\nAnswer: -54*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/618036 and -79\/2.\nAnswer: 618036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 3*x**3 - 2*x**3 + (0 + 4 - 2)*(4*x - 4*x + x**3) - 3*x**2 + 3*x**2 + 2*x**3)*(4 - 2 - 5).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.049 + -0.049. Let i = -23.4 + q. Suppose 3*b + x - 37 = -53, 3*b + 2*x + 14 = 0. What is the fourth biggest value in b, i, 1, -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 96. Let t(h) = 36 - 5*h - f + 4*h. Let s(i) = -22*i. Give s(t(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50\/8)\/(-5)*208\/(-130). Let i(s) be the second derivative of -1\/2*s**3 + 2*s**l + 14*s + 0. Differentiate i(u) with respect to u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, c: 9}. Give prob of sequence cyy.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 187286.013 milliseconds in days?\nAnswer: 0.0021676621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - j = 10. Is 1*j\/(-6) + 9178\/39 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5099.879 millilitres in litres?\nAnswer: 5.099879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-348)\/(-210))\/(-58)*40\/(-6)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78447027, -156894052, -235341077?\n\"Answer: -78447025*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**4 - 100*x**3 - 12708*x**2 - 25100*x - 12496 = 0?\nAnswer: -44, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4)*(-1232)\/(-252))\/(385\/165).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320 divided by -120?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 14. Let n be g(-8). Let y = -39 - n. Let j be (-2)\/1*(8 - y). Let w(p) = p**3 + p**2 + p. Give w(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1118*i**2*m*q**3 - 11*i**2*m - i**2*q**2 + 2*i*q**3 + 5*i*q - 2*m*q**2 - 6681*q**2 wrt i.\nAnswer: 2236*m*q**3 - 22*m - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by 207\nAnswer: -142\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*h - 71448 = 0, 38*h - 23850 = -b + 33*h. What is the greatest common divisor of b and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 325*l + 32182. Calculate g(-99).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, a: 2, b: 7, u: 1}. What is prob of picking 2 s?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**25)**(5\/8) assuming g is positive.\nAnswer: g**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 267*h - 2. Let k(n) = n - 3. What is k(j(d))?\nAnswer: 267*d - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14623194*a**2*r - a**2 + a*r - 2*a + 1141117*r with respect to a.\nAnswer: 29246388*a*r - 2*a + r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 182*f - 178*f - 79, f - 20*v = -82 + 3 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 31 = 12*h - 2*c, 5*h + 73 = 2*c. Sort 2, -34, h in decreasing order.\nAnswer: 2, h, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 324?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1853 rounded to one dp?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14236639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 103727503 divided by 131\nAnswer: 791813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*j**3 - 3 - 14*j**4 + 0 - 26*j**4 + 2*j in the form r*j**4 + z*j + i + b*j**2 + a*j**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 9, -2, 3 in descending order.\nAnswer: 10, 9, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**3 - 167*c**2 + 975*c - 143. Give q(-89).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*w**2 - 7*w**4 + 648*w**2 + 4*w**3 + 1 - 3*w**3 + 97*w**2 + 261*w**2 in the form f*w + l*w**3 + d + m*w**2 + h*w**4 and give m.\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 88201 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14983 (base 13) to base 14\nAnswer: 102c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2\/7, -5, -41, 6\/49?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2375\/4531?\nAnswer: 2375\/4531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 19*r - 108 + 35 + 74 + 41.\nAnswer: 19*r + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -334783\/76980 - 4\/3849. What is the common denominator of d and -47\/468?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26875338 (base 9) in base 10?\nAnswer: -13276826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-264)\/40*1170\/(-858).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2 = -2*c + 5*q, 4*c + q - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjp. What is prob of picking 1 j and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 1408*u**2. Let a(q) = q**2. Determine a(k(y)).\nAnswer: 1982464*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**2 + 42*u**2 + 3*u + 72 + 0*u - 2*u wrt u?\nAnswer: 76*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (93*(-14)\/(-105))\/((-21)\/5) and 11\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 10865777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -256 + 490. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3 + 4*g**2 + g - 1. Suppose -4*u = -27 + 11. Let c(s) = 7*s**2 - 16*s - 1. Let r(x) = u*c(x) + 9*l(x). What is r(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*w + 52 = 24, 62 = 4*l - 2*w for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 21*v - 21. Give j(-18).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 42804282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-10))\/(6\/(-30)))\/(202\/(-3434))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1422 (base 7) to base 15\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, t: 2}. Give prob of picking 1 b and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2756?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 0.6. What is the nearest to s in -0.5, -2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17383038 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 235812*w. Let j(b) = -85750*b. Let c(y) = -11*i(y) - 30*j(y). Let u(r) = -2*r**2. What is u(c(x))?\nAnswer: -918661248*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/102 and -1 + 11 + 94136\/(-9471).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9377171753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*n + 4*x - 106, 5*n - 351 = 2*x. Suppose -5*o + 178 = 3. What is the remainder when n is divided by o?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -71. Suppose 2*a + u*j + 8 = 0, 4*a + 5*j + 4 = j. Let p(r) = -4*r**2 - 3*r. Let b(x) = -x. Give a*p(g) - 3*b(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25888, 26012, 26220, 26512, 26888, 27348, 27892?\n\"Answer: 42*x**2 - 2*x + 25848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*r + 384 = 0, -9*i + 381 = -11*i - 5*r - 99 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25\/3 + 7. Let f = 26.3 + -14.5. Let q = f - 12. Which is bigger: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45188\/5463 - 30\/607. Find the common denominator of 137\/6 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 - u**2)*(7 + 2 - 5)*(24 + 28 + 3).\nAnswer: -440*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - -0.2. Suppose 0 = -6*d + 2*d - 5*n + 82, d = -n + 20. Let q be -5 - (3 + (-132)\/d). Which is the nearest to o? (a) 11\/2 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*v + 17*v - 9 + 2)*(-3 + 0 - 8).\nAnswer: 11*v + 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50696 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 1 - v - 2*v + 6*v**2.\nAnswer: 6*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 19*i - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 20. Let c be -4*(-3)\/q - 4. Let o = c - -7. Solve x - 3 + o = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5459350487 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 70 - 31. Suppose 0 = -q + r, 109 = 4*k + 2*q - 3*q. Calculate the greatest common divisor of k and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 2*d - 12. Give y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3433, 6851, 10255, 13645, 17021?\nAnswer: 20383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -7249.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 160, 367, 614, 895, 1204, 1535?\n\"Answer: -r**3 + 26*r**2 + 136*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3143598?\nAnswer: 2, 3, 179, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659 + 0*v - 660 - 668 - 10*v + 1986.\nAnswer: -10*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7964.\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Suppose 4*j - 6*j + 118 = w*n, 5*n = j + 165. Suppose -y + n = 3*y. Solve l + l = y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51\/7 - 677\/91. Which is the nearest to 0.25? (a) 0.3 (b) 2\/73 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*o - 91570*o**2 - 132553*o**2 + 128*o.\nAnswer: -224123*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjkkjjerejjekjkekjjj. What is prob of picking 1 r and 3 e?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) + (3 + sqrt(3564))**2*6 - ((1*sqrt(3564) + sqrt(3564))**2 + -4)) + ((sqrt(3564) + 1)*-5)**2 + sqrt(3564) + (1 + sqrt(3564) + -3)**2 + 5.\nAnswer: 1512*sqrt(11) + 99884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-1105)\/(-34))\/13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2. Let b(r) = r - 3. Let p(u) = 2*u - 2. Let g(f) = -2*b(f) + 3*p(f). Determine d(g(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13909327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10141, -1983, 6175, 14333, 22491, 30649?\nAnswer: 38807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.019 times 0.642\nAnswer: -0.012198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 3*o**2 + 3*o + 1. Let r be k(5). Let i = r + -87. Is 2*4\/(-8) + i*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.5 - -15. Let o = w + 2.9. Is 1\/4 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zee when three letters picked without replacement from ezeeezz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - 110?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674036 is divided by 164?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8906 + 18350 = -423*g - 32010 for g.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 2*u**3 + 227038*u - 227038*u + 2*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 465 - 785. Let g be k\/6*-30*(-1)\/(-8). Calculate the highest common divisor of g and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3.2?\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 328877.1t in grams?\nAnswer: 328877100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -0*u. Is 3 a factor of (32\/10)\/(u\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of (7 + -9)*(-19352)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3360603 - 4?\nAnswer: -3360607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 42*a**2 - 19*a - 91. Is h(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572 + 112 = 5*p - 38*b, 18*b = -4*p + 23*b + 90 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -61 (c) 414968\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196 - 168. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:22 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = n + 6. Let a(j) = -5*j. Calculate the remainder when 7 is divided by a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2485654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(40\/(-261588)) - -4. Let n = -12243 - -18785. Let h = c + n. What is the common denominator of -18\/7 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 188 - 272. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (0 + -2)) + 3. Suppose g = -k*g. Solve g = -2*u - 2*u - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 10909*o - 10914*o = 20, -2*h = 4*o + 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 1307*j - 151962.\nAnswer: -(j + 129)*(j + 1178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 8. Let m be (-18)\/21*(7 - 0). What is o(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = -8. Let t(i) = i + 2. What are the prime factors of t(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120346 - 120344. Let h(c) = -2*c - 5. Let a(j) = 2*j + 6. Let q(s) = 5*a(s) + 6*h(s). Let i be q(-1). What is the highest common divisor of x and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5774?\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-44))\/(1*(-10)\/5))\/((-81)\/(-27))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -984005*f*w - 1907135*w wrt f?\nAnswer: -984005*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 7811*f + 102069. Calculate y(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 418*k + 1050. Give i(81).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.9 times 5?\nAnswer: 4804.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Suppose -5*w + 4*b + 141 + 13 = 0, 4*w = -2*b + 144. Suppose 3*h - w - 20 = 0. Let m(y) = h - 18 - 23*y**2. Determine j(m(s)).\nAnswer: 46*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j*j*j*j\/(j\/((j*((j**(-1\/2)*j)\/j)\/j*j)\/j))*j)*j*j*j**8)\/(j*j*j**(-2\/7)*j*j*j*(j*j**(-5))\/j))**(-1\/14) assuming j is positive.\nAnswer: j**(-109\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 5*q - 4. Let w = 9 - 16. What is the tens digit of n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1.2, -2183 in descending order.\nAnswer: 4, -1.2, -2183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqyqcqlq. What is prob of picking 1 y, 1 c, 1 q, and 1 l?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*28*(-312)\/84. Let d(b) = b + 16. Let y be d(0). What is the highest common factor of v and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = d + 10, -10*m + 12*m + 21 = -15*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 + 20*z**4 + 253*z**3 + 232*z**2.\nAnswer: -z**2*(z - 29)*(z + 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (sqrt(34)\/(sqrt(2) + sqrt(72)) - (sqrt(833) + 1 + sqrt(833) + sqrt(833))*6).\nAnswer: -881*sqrt(17)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 32 + -76 + (1 - -9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 0 + 27 + 22 + 0*r. What is the remainder when 223 is divided by g(17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*v + 9. Suppose 3*d + 20 = -22. Let m be 10*(-2 + d\/(-5)). Solve 2*t - t - 2*q + m = 0, 2*t + 19 = v*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*s*z**2 - 152*s*z wrt z.\nAnswer: -296*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040 plus -2?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1464896955935+4\nAnswer: -1464896955931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 - 500 = -5*t. Suppose -17*i - t = -15*i. Let b = i + 133. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u - 347*u**2 - 2*u**4 - 234 + 348*u**2 - 26*u**3 + 231 to o*u**3 + k*u + y + w*u**4 + s*u**2 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -196*m**3 - 5*m**2 + 4*m + 3. Let a = 2 + 2. Let l be f(a). Let b = l + -17395. What is b rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + sqrt(627)\/sqrt(176))\/(sqrt(36)\/sqrt(108)).\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/3)\/(3*95\/(-171))*(15 + 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -37 - 41. What is the common denominator of 7\/12 and (k\/(-3))\/((-98)\/(-21))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378646.\nAnswer: 2, 2189323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27897 - 1709 + 7578 - 5274 - 26225 - 17918)*(-l - l**5 + l).\nAnswer: 71445*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -106. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Calculate the remainder when q is divided by (-2)\/(-4)*2*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192208129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -22996 at least as big as 198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from kkkzzhhzhhk.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by -48?\nAnswer: -23\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -99*y**2 + 284*y**2 - 94*y**2 - 94*y**2 + 3. Let j(a) = -3*a**2. Determine j(r(z)).\nAnswer: -27*z**4 + 54*z**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, e: 13}. What is prob of sequence eoe?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2925058253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 3 - 5, -5*t + 1022 = 2*h. What is the common denominator of -39\/8 and -1 - -1 - t\/(-24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2136 and 6.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3399265 and 1245.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 65402?\nAnswer: -65377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:01 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -35 + 52 + -32\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 3*v + 2. Suppose 5*a = 3*r - 29, 0 = 3*r + 19*a - 23*a - 25. What is h(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13089, 26274, 39459?\nAnswer: 52644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let v(y) = -y**2 - y. Suppose -100 = 4*m + r, 5*r - 111 + 11 = 4*m. Let g(n) = 20*n**2 + 25*n. Let i(q) = m*v(q) - g(q). What is k(i(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 793 + -738.5. Let x = 54 - r. What is the third smallest value in x, 2\/3, 2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0.04 (b) 2 (c) 4 (d) 0 (e) -106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575602, 4604689, 15540752, 36837277, 71947750, 124325657, 197424484?\nAnswer: 294697717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16653?\nAnswer: 3, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -10*o - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-9)*6\/8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 45*y - 2. Give h(-3).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 6*c - 16. Give l(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/43 (b) 1 (c) 8 (d) 3 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 133, 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*g + 38*g + 4433. List the prime factors of g.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079566 rounded to 5 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*-5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a - a + 0*a)*(0*a - 4*a**3 + 0*a + (-44*a**3 - 5692*a + 5692*a)*(0 - 4 + 1)) to t*a**4 + l + y*a + v*a**3 + i*a**2 and give t.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + (-49 - -36)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b99 (base 16) in base 13?\nAnswer: -32a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*g - 6 - 15 = 0, -2*o + 4*g + 18 = 0. Let p be -5*(-2 + -49 + o). Suppose -p = -5*j - 2*l, 4*l = l. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.66282 and 0.01 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -27*v**2 - 5. Let o(c) = -352*c**2 - 66. Let j(r) = 5*o(r) - 66*t(r). Let z(u) = -u**2. Calculate z(j(f)).\nAnswer: -484*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 29931*f + 7722193. Give r(-258).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-8*p + 9 - 9 + (4*p - 3*p + 0*p)*(4 + 3 - 2)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36985, 36962, 36937, 36910, 36881, 36850?\nAnswer: 36817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 28*c. Let k be 1 + 66\/11*-1. Let v(h) = -7*h. Give k*d(r) - 21*v(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/((-2)\/(-8)). Let z be t\/(-1 + (-142)\/(-174)). Let c = z - 767\/72. What is the nearest to c in -3, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*q + 9. Let i = 13 + q. Suppose -5 = 3*m + k, -4*m + 2*k + k = 11. What is the closest to 4 in m, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 15714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 35381 + 22287 = 0. Does 64 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 - 85*o**2 + 8*o - 127. What is y(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2094 and 75\/22?\nAnswer: 23034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 590292598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2 + 22 = 0. Let y = 1 + -1.5. Let m = -24 + 122\/5. Which is the nearest to m? (a) y (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 48. Suppose q*d - d + 26 = -l, 2*l = d + 11. Let s(r) = r**3 + 10*r**2 + 10*r + 7. What is s(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 76*l**3 - 2*l**2 - 32*l + 15. Is w(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 822*t + 825.\nAnswer: -3*(t - 1)*(t + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 t when four letters picked without replacement from {y: 2, t: 5, a: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 1\/24*j**4 - 2*j**2 + 0*j**3 + 1\/60*j**5 + 0 + 0*j. Let u(i) = i**3 - 2*i**2 - 2*i + 1. Let n(v) = -r(v) - u(v). Factor n(h).\nAnswer: -(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 2 n when four letters picked without replacement from {n: 5, y: 1, v: 4, e: 1, f: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -4, 5, 93, -10, 0.\nAnswer: -10, -4, 0, 5, 65, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 13) in base 16?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1 + sqrt(22))\/(sqrt(2) + (-1*sqrt(2) + sqrt(2))*2).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/(2\/6). Let y(w) = w**2 - 2*w. Let q be y(b). Let a(r) = r**3 + 1. Let x be a(q). Sort 4, 5, x in decreasing order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336 by 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(931) + -2)*-5)**2 + -2).\nAnswer: -700*sqrt(19) + 23373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4259 to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 23028?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-18))\/(18\/(-3)). What is the closest to -4 in -0.4, 0, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**7\/70 + p**5\/20 - 7*p**2. Let t(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus -26273.2?\nAnswer: -26273.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9726 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 5, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176502 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115002334 - 322?\nAnswer: -115003100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*j + 6*t - 2*t + 558 - 280 = 0, 3 = 3*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -445, -887, -1331, -1777, -2225, -2675?\n\"Answer: -p**2 - 439*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 395, 397, 399, 401?\n\"Answer: 2*w + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 30 = 48567*o - 48563*o - 4*k, 12 = o - 3*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 43 = f, 3*z = 219*f - 218*f + 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 4*v, 3*t - 24 = -11*v + 6*v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 1 + 4*s + 0*s)*(3*s**2 - 7*s**2 + s**2).\nAnswer: -6*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -1*sqrt(228)*-5)*2*-1)\/((sqrt(108)*-4)\/sqrt(9) - -3*sqrt(432)).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77057*-5.\nAnswer: -385285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 70 = -74. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125213588 divided by -4\nAnswer: -31303397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 480352 in decreasing order.\nAnswer: 480352, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -42, -46, -50, -54, -58?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.223515 meters in nanometers?\nAnswer: 4223515000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 46?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {j: 1, q: 1, u: 1, b: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = x + 4*m, 5*m = 0. Let n = x + 3. What is the first derivative of 2*f**n + 2*f**3 - 2*f**2 - 2 wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.954 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/2*(3 - 12\/(-20)). Let a = 30 - g. List the prime factors of 6\/a*(-65 - -5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*r - 48*r - 1 + 81*r + 1.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8307, -16645, -25011, -33405, -41827?\n\"Answer: -14*l**2 - 8296*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111010 - -10010?\nAnswer: -100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2174 (c) -3 (d) 20 (e) 1\/7 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 79*x - 28. Let o be j(20). Calculate the greatest common factor of o and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.82. Let m = 2.02 - g. Which is the nearest to -0.2? (a) 0.3 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 367 = 3*i - 3*n, -5*i - 443 = 2*n. Let d = 135 + i. Let h = 51 - d. Solve 0 = -h*v + v + 2*q - 2, -5*v = 2*q - 30 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(7*o - 3*o - 5*o) + o + 2*o - o - 7*o + 2*o + 29*o)*(1 - 2*o - 1).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 5*j - 2, 0 = 5*p + 13975*j - 13979*j - 29 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -15 + 20 + (-12 + -4 - 4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = 0, -2*l + 4*o + 7 = -81. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 1:36 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19165\/(-25) + (-9)\/(-15). Let b = -794 - g. Which is bigger: b or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 141?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s + 6 = 0. Suppose 3*k = 4*k, -c + 3*k + 18 = 0. What is the lowest common multiple of c and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*3\/12*2. Suppose -960 = -q*k + k. Suppose 6*g - 1212 = -k. List the prime factors of g.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsmssmmmmmmsm. What is prob of sequence smm?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -25, -b - p = -3*p - 48. Suppose -s = -11 - b. Suppose s = 5*n - 4*o, -5*n - 5*o = 3 - 63. Calculate the greatest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*b + 432 = 0, 2*f = -31*b + 33*b + 214. List the prime factors of f.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4947361 (base 11) to base 3.\nAnswer: -121012010111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-198)\/27))\/(-6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 29*n**2 - 56*n + 48. Determine g(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-8\/3)*y*y)\/y**(-28)*(y*y**(-11))**(-7\/5) assuming y is positive.\nAnswer: y**(127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b3 - 3?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + g**2 - g + 2. Let o be w(0). Suppose d + o*d - 9 = 0. Suppose -4*u + 3*m + 170 = 0, 0*m = -d*u + m + 130. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33280618379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*o = 15 + 2, 0 = 4*h + 2*o - 24. Let l be (-2)\/(-4)*8\/2. Suppose 1 = -l*b - 7. Put 3, b, h in descending order.\nAnswer: h, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/10 + 489*j\/10 + 49 = 0. What is j?\nAnswer: -1, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 5b8b?\nAnswer: 5b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 122749 + 1a?\nAnswer: 122768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -207*w**2 + 4*w + 3. Let x be l(-2). Let i = x + 10835\/13. Let n(k) = 2*k - 16. Let c be n(8). Is c at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261c1 (base 13) to base 10\nAnswer: -70630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(1\/((-87)\/(-2))). Suppose 80*y - m*y + 70049 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -453, -462, -475, -492?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, -20, 0.4 in decreasing order.\nAnswer: 25, 0.4, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 17*q**2 + 19*q + 11. What are the prime factors of r(-7)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 167*r. Let f(i) = 3*i - 3*i + 3*i - 11*i + 7*i. Give f(a(g)).\nAnswer: -167*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 110\/(-5) - 20*(-72)\/70?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 12 = -20*f. Suppose 10*y - f*y + 11 = 3*x, -5*y + 3*x - 10 = 0. Which is smaller: 4\/35 or y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -26*v + 93. Let q be b(20). Let m = 442 + q. Solve -4*h - m = -7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 20*a**2 - 124 + 61 + 63 to c*a**2 + g + s*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17773424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559.2437 months in millennia?\nAnswer: 0.129936975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8830 = 3*l - 7228, l = 3*u + 5348. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 2317*k**3 + 1115*k**3 - 27 + 1201*k**3 - 112*k**2 to n*k + i*k**2 + j + f*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:22 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/44 + -29\/220. Let m = 19 - 19. Sort z, m, 1\/9, -2.\nAnswer: -2, z, m, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 207, 206, 197, 174, 131?\n\"Answer: -a**3 + 2*a**2 + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27144566?\nAnswer: 2, 1291, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 2*f**2 - 2*f - 3. Let c be s(-2). Let p be c\/(1 - 0)*-4. Sort 5, p, 4.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 10) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 3*n**2 - 62*n + 60. Give m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1532, 23, 0.09?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21047 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/215, 63, 33\/68 in ascending order.\nAnswer: -14\/215, 33\/68, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = -v. Let a(u) = 14*u**2 + v*u - u**3 + u**2 + 0*u**3 + 21 + 0*u. Is a(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67591 and 2104.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 - (-7 + -1)) - -15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = g - 72, -4*r + 4*g + g = 138. Let h = -25 - r. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(11)*4*-1*-6)**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -373, -2\/13, 23, -4\/289, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + 228b91?\nAnswer: 228bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 49428?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.809141, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-24)\/10)*-4)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/6 + (-2)\/(-12). What is the second derivative of -q + 3*q**y - 2*q**4 + 0*q wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*w - 10*f**2 + 85*f*w**2 + 1 wrt w.\nAnswer: -f**2 + 170*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s - 88680 + 21000 = -133*s. What is the highest common factor of 5358 and s?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7739.\nAnswer: 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -9, 0, -736.\nAnswer: -736, -9, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/240*12)\/((-9)\/10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*7 + 24\/(-30) + -6. What is the closest to 3\/4 in 0.5, -3\/13, r, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose y*v + 2*v = 0. Suppose v = 2*i + 1 - 5. Put -3, i, -4 in ascending order.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 219129592.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*t - 99 = -530*t. What is the lowest common multiple of t and 140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-8) + 30\/4. Suppose -q = -w - 5. Suppose 3*r = w*s + 3 + 4, 2 = r - s. Let j(z) = -5*z**3 + z. What is j(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6. Suppose -4*n = -k*g - 2*g + 22, 0 = 2*g + n - 7. Which is the biggest value? (a) -0.5 (b) -1\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2696996)\/(-50) + (-1208)\/(-100) + (-9 - 3).\nAnswer: 2, 3, 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -140*q - 1. Let w(t) = -105820*t + 105824*t + 0 + 1 - 1. Calculate w(f(c)).\nAnswer: -560*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h - 3*h + 3*h + 6*h as k*h + f and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285765391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6680503.86 rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1370+0.0976\nAnswer: -1369.9024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/20204738 and -19\/1911259.\nAnswer: 141433166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**2 + 27*y - 29*y + 17*y + 11*y as t*y**2 + j + l*y and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 115 - 685. Let j = r + 121. Let q(c) = c**3 - 8*c**2 + 9*c - 10. Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38420 and 57630?\nAnswer: 115260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, f: 1, d: 5}. Give prob of sequence dbfb.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59\/10 in 3, -1, 1.38, 2\/5, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 1. Let n(k) = -k + 2. Let p be n(-11). Let b be (p - (3 - -1))\/1. Suppose -7*h - b = -10*h. Calculate f(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6951 and -0.86.\nAnswer: 6950.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 29810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4\/2 - f**3 + 2*f**2 + 4*f = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/6 - (-26)\/6. Suppose -r + 2*n = b*n - 10, -4 = -n. What is the remainder when 27 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*f**4 - 3564*f**3 + 174*f**2 + f.\nAnswer: -624*f - 21384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**5 + 4*h**4 - 358872*h**3 + 2152816*h**2 - 4305248*h + 2870016 = 0.\nAnswer: -303, 2, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -922 - -927. Suppose 4*w - 3 = -3*v, 5 = 4*w + 5*v - 8. Put -30, -1, w, o in increasing order.\nAnswer: -30, w, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1216 and 152.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 251*m**3 + 65*m - 67. Let s(f) = -2886*f**3 - 741*f + 771. Calculate -57*g(c) - 5*s(c).\nAnswer: 123*c**3 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725742103 to the nearest integer?\nAnswer: 26940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r*r*(r\/r**(-11))\/r)\/r*r)))\/(r\/r**(-11))*r**(3\/13)\/r**(1\/14) assuming r is positive.\nAnswer: r**(211\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.29 to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g = 12*g - 64 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 447. Determine l(-45).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12241 is divided by 1015?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1058 - 1074. Let s be (2\/6)\/(p\/48). Let z(o) = -o**3 + o**2 + o. Let u(n) = 5*n**2 - 1 + 5*n - 1 + 3 - 4*n**3. Calculate s*u(j) + 5*z(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 40840840 to the power of 1\/2, to the nearest integer?\nAnswer: 6391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 0.3 (c) -0.6 (d) 363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 0*t + t + 5*t - 2*t + (-2 + 2 + t)*(2 + 5 - 6) + 3*t - 5*t + 0*t)*(-2 - 2*t + 2) + 3*t**2 - 4*t**2 + 21*t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13))**46\/(u\/((u**21\/u)\/u)*u\/u**27) assuming u is positive.\nAnswer: u**(-554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9910*j - 9905*j - 12 = g, -16*j + 4*g = -31 - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*n - 180 = 65*n. Calculate the least common multiple of n and 19.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t + 1025*t + 5711 = -341*t - 9656 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.75534935821+-0.3\nAnswer: 0.45534935821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*o + 156*o - 2908*o + 2.\nAnswer: -2310*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26123368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1000138 divided by -80.\nAnswer: 500069\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -200 - -0.15615888.\nAnswer: -199.84384112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2356)\/6696*-54 - (-114)\/(-2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3956 = -422*f - 3442 + 12884 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -83. What is the highest common factor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -89.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 22323515\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 25 = -4*z + 106, -5*u - 2*z + 333 = 0. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*m - 4*a, -2*m + 4*a + 0*a = -22. Let q be ((m + -2)*-1)\/1. Is 4\/35 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -37*x**2 - 4*x - 3. Let t(y) = -110*y**2 - 12*y - 9. Let a(c) = 11*i(c) - 4*t(c). Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*c - 10*c - 1287 = 0. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126*u**3 + 3*u**2 - 2099*u + 5313428 wrt u.\nAnswer: 378*u**2 + 6*u - 2099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4018220\/507 or -7925?\nAnswer: -7925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phyp when four letters picked without replacement from {p: 2, q: 1, y: 1, h: 2, l: 2, x: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 8*x + 6. Let j = -60 - -65. Let p(a) = a + 1. Let m(o) = -2*o - 3. Let u(g) = j*p(g) + 2*m(g). Let d(w) = 4*u(w) + y(w). Determine d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35912 + 48*s - 3*s**2 + 100*s + 161*s + s**2 + 227*s.\nAnswer: -2*(s - 134)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*b + 2, -1078*j - 1 = -1074*j - 2*b - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 1999 + 1686. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(29\/(116\/32))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -2*sqrt(7)*-4) - ((sqrt(77)*-1 - sqrt(77))*6)\/(sqrt(55)\/(sqrt(5) + sqrt(15)\/sqrt(3))).\nAnswer: 2 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m**5)**(9\/11))**(-1\/29) assuming m is positive.\nAnswer: m**(63\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 393 in -13\/8, 5, -5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -2 + (3 - 2). Let g be 2*c\/(5\/5). Find the second derivative of 12*n**g - 1 + 1 + 11*n**2 - 6*n wrt n.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -124*o - 91*o + 960, 8*o + 9*o + 137 = -5*c + 20*o for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (357\/(-68))\/(7\/(-672))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**2 - 4*o - 24. Let a be m(-8). Suppose 4*t + a = 16*t. Calculate the remainder when 2*37*(-18)\/(-12) is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 673080.585 to the nearest one thousand.\nAnswer: 673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**4 - 29*a**2 - 13*a - 13. Let k(r) = r**4 + 7*r**2 + 3*r + 3. Let y(o) = 6*c(o) + 26*k(o). What is the third derivative of y(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -5300?\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 - -4340?\nAnswer: 4433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1454*p + 260700 = -916*p for p.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326504 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + 7) - (4 + -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.141698 centuries?\nAnswer: 1370.0376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. Let g = -4.4 - -0.4. Let t = 4 + g. What is the nearest to t in 3, u, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 12:41 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(3*z + 3*z - 7*z) + (4*z - 4*z + z)*(3 + 2 - 4 + (2 - 8 - 11)*(1 - 1 + 1)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-14) + 8\/14. Do -20\/51 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**27\/v*v*v)\/v)\/(v**(-1\/2)\/v)*v**(-1\/3)\/v*v\/v**(-2\/19) assuming v is positive.\nAnswer: v**(3223\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + g, -14835*h - 2*g + 11 = -14840*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/110)\/((-1)\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32389 <= 32392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*j + j. List the prime factors of (-270)\/j - (-2)\/(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24990*t**2 + 50037*t**2 - 2 - 24911*t**2.\nAnswer: 136*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {h: 7, t: 4, p: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 439. Let o(y) = 428*y + 4. Determine j(o(p)).\nAnswer: 856*p + 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -924, -1385?\nAnswer: -1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 5784?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 250 + 32. Suppose -2*p = -3*x - 85, -2*p + 0*x - 3*x = -103. What is the greatest common factor of p and u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11770*l. Let m(g) = 4*g. What is m(b(d))?\nAnswer: 47080*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/7 and 89\/288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(2\/(-6)). Let c(u) = 6*u**3 - 2*u**3 - 3*u**3 + 3*u**2 + 2*u. Let m be c(z). Is 0 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 20 - 1\/2*w**2 + 0*w. Let g(o) be the second derivative of o**3\/2 - 96*o. What is g(r(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -32. What is the least common multiple of 10 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/3)*x*x)\/x)**(-1\/2)\/((x*x**(-11\/3)*x)\/x**(2\/29)) assuming x is positive.\nAnswer: x**(31\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144755865 by -5.\nAnswer: -28951173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1089477, -2179240, -3269289, -4359624, -5450245, -6541152?\nAnswer: -7632345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 72 + 18. What is the remainder when l is divided by 2\/(-10)*-2*20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**3 - 556*h**2 - 49*h - 22. Let b(i) = -i**3 - 111*i**2 - 9*i - 4. What is 11*b(n) - 2*l(n)?\nAnswer: -n**3 - 109*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2 + 14457*j + 14456 = 0?\nAnswer: -14456, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*u - 60 = 0, 7*a - 12*a - 5*u = -125. Let s(h) = -219*h + 1. Let o be s(-1). Calculate the greatest common divisor of o and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -375. Is u\/(-22)*-1*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*i + 1183 = 0, 2*r + 3*r = -2*i + 1961. Suppose 6*w - 7*w = -r. Suppose 3*m - 276 = w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4) + 1 - (15 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/300 and (-2 + -2)*(-11)\/(24200\/18)?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 14\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -22.74 and -8.\nAnswer: -30.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 6*o - 20. Let b = -22982 - -22990. Give q(b).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 + 2*l**3\/3 - 5*l**2\/2 - 2*l - 3. Let x be b(-3). Suppose -q - 151 = -d + 4*q, x*d + q - 646 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24962732 to the nearest integer?\nAnswer: 4996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000497507108 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 28 + 16 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 - -45) - (-10 - (5 + -7))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 438 = 3*f + 424, -2*l = -f - 284. Calculate the remainder when 41 is divided by (9\/12)\/(-4*3\/f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.2007596\nAnswer: -0.02007596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1322 - -1916. Calculate the greatest common divisor of a and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 11\/4. Which is the closest to q? (a) 2\/11 (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + 2 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 12*x + 6. Give k(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -10 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 141837916 divided by 47\nAnswer: 3017828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 21*w**2 + 22*w + 22. Let l be b(-1). Find the third derivative of -64*z**4 + 509 - 509 + l*z - 29*z**4 - 2*z**2 wrt z.\nAnswer: -2232*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -245 + 290. Suppose -3*b - 172 = -t, 5*t - 13 = b + 63. Let k = 61 + b. Calculate the highest common factor of k and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 8*a - 1. Let c be l(7). Calculate the highest common factor of c and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 3*v - 2. Let p = 7 + -10. Let d be n(p). Let k = d - 10. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 211175, 422352, 633529, 844706, 1055883, 1267060?\n\"Answer: 211177*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.2. Let m = 0.3997 + -0.9997. Which is the closest to m? (a) z (b) -3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24500, -48882, -73262, -97640, -122016?\nAnswer: -146390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 941520067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a + 128*a + 312 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*m + 611, h + 6*m = 7*m + 152. What are the prime factors of h?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391528771 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146 + 134.7. Let i = 10.3 + k. Put 2\/7, i, 1, -4 in decreasing order.\nAnswer: 1, 2\/7, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 5.1?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyaychyyaych. Give prob of sequence aycy.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -13*t**3\/3 + 26. Let u(g) = -2*g. Determine u(d(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 9 - (1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 34*i**2 + 72*i + 3. Let k be b(36). Solve -2*p = 4*f, 5*f = 10*f - k*p + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170 - 1714?\nAnswer: -1884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -108*d**2. Let k(v) = -306*v**2 - 23. Determine k(i(w)).\nAnswer: -3569184*w**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 23. Let d be b(19). Suppose 3 = 3*j - 0, -2*j = -d*l + 10. Let n be l*5\/(-30)*-4. Solve -u + n*i = -7, 0 = -2*i - 0*i - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*v**4 - 364*v**4 + v + 2*v**3 + 187*v**4 - 7*v**2 + 0*v to t + i*v**2 + z*v**4 + s*v**3 + u*v and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + p - 1. Let r(h) = 6*h**2 - 11*h + 9. Let m(d) = 5*k(d) + r(d). Let g be m(6). Solve 17 = -5*l - 3*q - 0*q, -2*q - g = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1554 from 1812124714.\nAnswer: 1812124714.1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255000\/(-7980) - -32)*(-38)\/(-3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**3 - 10 + 30 - 45 - 2*b**3 to the form i*b**3 + z + f*b**2 + h*b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -289*u. Let c(i) = 2*i**2. Calculate r(c(n)).\nAnswer: -578*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 2039617?\nAnswer: 18356553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (52 - 30) + -50 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - d**2 - d)*(-1 - 1 + 0) - 23*d + 15*d + 6*d**2 + 9*d - 4*d**2 - d**2 + 7*d**2)*(3*d**2 - 6*d**2 + d**2).\nAnswer: -20*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1616\/505)\/((-2)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 5*z + 980, 4*r + 588 = -3*z. Let x be (z\/42)\/(0 + 2\/(-6)). Solve 5*g - 5*o - 20 = 0, 2*g + 4*o + 0*o = x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 1 - 6\/(-4). Let z = 2 - o. Let x = -16\/7 + 73\/35. What is the biggest value in x, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5874095 nanograms in micrograms?\nAnswer: 0.0005874095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206\/10 - 105\/175 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5192*q**2 + 10373*q**2 - 13*q**3 - 5181*q**2 + 0 + 0.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 4.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382053, 1528224, 3438511, 6112914, 9551433?\nAnswer: 13754068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 14*g + 23. Is r(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + j**2 + 0 + 4 + (2*j - 3 + 3)*(-3*j + 2*j - 2*j) in the form b + q*j**2 + h*j and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14535 by 2907.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/84 - -5\/21. Let r(d) = -d**3 - 9*d**2 - 8*d + 1. Let m be r(-8). Let q be -1 + (1 - (1 + m)). Which is the third smallest value? (a) 1 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -335\/584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 1 + 3 - 4. Let y(v) be the first derivative of -v**4\/24 + 3*v**2\/2 + 4. Let m(w) be the second derivative of y(w). Determine p(m(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (567\/51 - -2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1545 = -417. Let d = z - 252. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 371.9 - 372. What is the closest to 0.05 in -2\/21, 1, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and 0.2?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -250*d - 33. List the prime factors of r(-1).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.009 (c) -0.4 (d) -0.957 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 - 3. Let r(q) = -q**3 + 5*q**2 - q - 2. Let f(g) = -2*o(g) + 3*r(g). Calculate f(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 + 24*r**2 + 1925 - 11*r**2 + 78.\nAnswer: -r**2 + 2003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/(-6)*(-80)\/30 - -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 643*m**6\/120 - 779*m**5\/30 + 3342*m**2. Find the third derivative of q(l) wrt l.\nAnswer: 3858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 - 1*(-4 - 12\/(-4)). Let v be (-36)\/10 - f\/35. Let b(h) = -h**2 - 7*h - 5. Determine b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m**2 + 4*m + 184. Let l(s) = 5*s**2 - 2*s - 92. What is -4*d(x) - 7*l(x)?\nAnswer: -3*x**2 - 2*x - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from scsssssccsc?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**2 - 50034208*g - 100068432 = 0?\nAnswer: -2, 12508554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**8)\/(q**(-2\/3)*q))\/(q**9*q*q**(1\/6)*q))**(-46\/5) assuming q is positive.\nAnswer: q**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s + 2*s**2 - 4 - 3*s + 0*s**2 - 6*s**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.89 - -0.11. Let f = k - 8.3. Let r = 3.9 + 0.1. What is the smallest value in f, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.359 times -0.2?\nAnswer: 0.2718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36608313 by 1379.\nAnswer: -26547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 3. Let t be h(-3). Suppose -2*l - 2*g + 10 = t, -3*g - 5 = -2. What is the third derivative of -5*v**6 + 3*v**l - 8*v**6 + v**2 + 0*v**6 wrt v?\nAnswer: -1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r + 4. Suppose r*y = 8*y + 36. Let i = 20 + y. Calculate the highest common factor of i and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389 - 1485 = 137*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = -80. Let q = 30 + t. Suppose -2*v + q = 3*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73791649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -20813000 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6, -24, -66, -144, -270?\n\"Answer: -2*p**3 - 4*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701379?\nAnswer: 29, 93151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - (-68)\/8. Solve -a - y = j - 5*j, 5 = -a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 102\/14 + (-4)\/14. Let x(w) = -w**3 + 7*w**2 + 9. What is the units digit of x(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4026.333 to the nearest integer.\nAnswer: -4026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*m*s + 2*d**2*s - d*m*s - 2*d*m - 14*d - m*s - 38*m - 2*s - 1418 wrt m?\nAnswer: d**2*s - d*s - 2*d - s - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**2 + l**2 + 2*l**2 to v + o*l**2 + a*l and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3115 = 6*f - 713. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43.6 times 2.14\nAnswer: 93.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 732 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose 9*b + 48 = -15*b. Sort -5, b, r in increasing order.\nAnswer: -5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, 2, 9, 5, 0, -1, 35.\nAnswer: -1, 0, 2, 5, 9, 35, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16314.17 litres to millilitres.\nAnswer: 16314170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*((-4*(0 + sqrt(2448)) - (sqrt(2448) - 1*sqrt(2448)*1)) + 4).\nAnswer: -288*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 3\/8, 1\/5 in descending order.\nAnswer: 8, 3\/8, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 + -46. Calculate the highest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:01 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 6 (b) 37\/4 (c) 0.04 (d) 2\/3 (e) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/5 + (-5 - 1). Let l be (-152)\/(-56) + (-2)\/b. Sort l, 4, 0 in ascending order.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (18 - 16)\/(152\/69) and 97\/22.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {v: 14, x: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-10)*520\/(-832))\/(33\/11)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -168 + -1 + 34 - -70.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -53, -88, -123, -158?\n\"Answer: -35*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 13\/5. Let g be (1\/3)\/(20\/(-14)). Let j = g + r. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**4 + 98*y**2 - 7*y**4 - 3*y + 10*y**4 + 621*y**3 - 96*y**2 + 2*y to b*y**3 + w*y**2 + q*y**4 + n + i*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45404689 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*t + 2)*(12 - 5 + 16)*(t**2 + 4*t**2 + 5*t**2).\nAnswer: -690*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + x - 7 = 0, 3*g + 8 = -3*x + 5. Let q be (1 - -4)\/((-4)\/(-8)). Let h = q - 6. Is h != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2959, -17077, -55385, -129979, -252955, -436409, -692437?\n\"Answer: -2016*h**3 + h**2 - 9*h - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-4) - 2) + -13. What are the prime factors of 0 + 4 + d\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4, 248577*a - 248556*a = -4*l - 96 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - z = 8, -1 = -3*g + 2*g + 2*z. Let w(t) = 2*t - 4. Let n be w(g). Let k be (-8)\/(-20) - 166\/n. Solve -b - k = -3*b - 3*l, -4*b + 3*l = -7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -274*d**4 - 415*d wrt d.\nAnswer: -3288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43*l**3 + 24766*l**2\/3 + 396160*l - 6144.\nAnswer: (l + 96)**2*(129*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:18 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -2 - 3 - -6. Suppose -1 = 2*a + 5*m - i, 12 = 4*a + 4*m. Put a, 1, -3 in increasing order.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1937*d**2 + 577*d**2 + 1271*d**2. Is a(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*5*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4343, -4349, -4349, -4337, -4307?\n\"Answer: m**3 - 3*m**2 - 4*m - 4337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 356042663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*j + 24, 0*j + 3 = j. Let a be (g\/(-5))\/(6\/(-20)). Let m be 18\/8 + (-1)\/a. Solve 0 = -m*l + l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 4*k + 24, -6 = 5*k - 3*l + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -224*g**3 + 6*g**2 + 18*g - 20. What is w(1)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10300*n = 4*l - 10302*n, -4*n + 5*n - 11 = -5*l - 2*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7466\/5 - 1506. Let y = 438\/35 + z. Let x = 7 - 1. Is y at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmteekmtfemffeeemm. Give prob of sequence tkef.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -9. Let g = 18.7 + -20.7. Let x = -0.4 - -0.3. Which is the nearest to x? (a) g (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 45*n + 303. Let m be t(36). Is 49 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.03, 0, -1.\nAnswer: -1, -0.03, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/9)*a*a)**(-45) assuming a is positive.\nAnswer: a**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -4\/35, 288, 5 in descending order.\nAnswer: 288, 5, -4\/35, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 94696, 189341, 283986, 378631, 473276, 567921?\n\"Answer: 94645*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 63. Let z(h) = h**2 - h - 1. Let i(r) = 8*r**2 - 22*r - 31. Let s(v) = 28*v**2 - 87*v - 126. Let k(t) = 26*i(t) - 6*s(t). Give l*z(u) - k(u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -249. Solve 0 = 130*m - f*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292953.4 months in millennia?\nAnswer: 191.07945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-320)\/45)\/4)\/(4\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 493 + -278. Let l = u - 219. What is the third smallest value in -2, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 12. Find the common denominator of (-6)\/t + 591\/14 and (-79)\/(-12) - 28\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.05 (b) 1 (c) 88 (d) 112 (e) -2\/17 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 6766 + 6766.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29864.\nAnswer: 2, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4214*k**2 - 11276.\nAnswer: 8428*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:16 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q + 21. Determine n(-23).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let f(h) = -3*h**2 + h**2 + 4*h**o. Let i(s) = -7*s + 3. Let q(b) = -2*b + 1. Let r(l) = -4*i(l) + 12*q(l). Give f(r(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48362707, -96725416, -145088125, -193450834, -241813543?\n\"Answer: -48362709*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -29*n**3 - 17*n**2 + 8*n + 5. Let m(q) = 87*q**3 - 38*q**3 + 4*q**2 - 2*q - 1 - 42*q**3. Let o(a) = -9*m(a) - 2*s(a). Give o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 5*k = 2*k - 91 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62561392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0579637, -0.4, 1 in increasing order.\nAnswer: -0.4, -0.0579637, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 + 0)*(5803255*u + 17 - 5803255*u + 172*u**2) to the form d + z*u**2 + c*u and give z.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a - 75 = -5*i - 53*a, -4*i = 5*a - 62 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**(1\/17)\/(z\/(z**(-5)*z)*z\/(z*z*z**(-8)*z)))\/(z**0*z**(-4)*z*(z\/z**1)**(-1\/9)) assuming z is positive.\nAnswer: z**(-271\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738102 is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*g - 13355 - 88314, -2*w + 14 = 0. Is 59 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10652, 10939, 11408, 12059, 12892?\nAnswer: 13907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i. Let c(n) = -16322 - 5*n + 16322. Determine a(c(x)).\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8 + 5)*(200\/(-30) - 9). What is the closest to 2\/7 in -1\/4, 3, -3, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(0 + 0 - v) + 0*v - 3*v - v + (-4 + 2 + 3)*(1 + 3 - 1)*(13*v + 14*v - 29*v) to the form h + o*v and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-4\/7)*f*f*f**(-7\/8)*f*f**(11\/6)*f**(-33) assuming f is positive.\nAnswer: f**(-4615\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*x - w + 2*w, -17 = -x + 5*w. Suppose -2*n + 24 = 3*h, -3*n + 16 - x = -h. Find the second derivative of -39*k + n*k**5 - 19*k**5 - 3*k**5 wrt k.\nAnswer: -320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1656829944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - 11\/(-2). Suppose r - 5*t + 3 + 11 = 0, -r = -2*t - 1. Suppose 2*j + r = q, 2*j = 7*j + 20. Put -4, q, g in descending order.\nAnswer: g, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + (3 - 0). Suppose r*l - l = 41. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1770, 0.5, 2\/203.\nAnswer: -1770, 2\/203, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(360)\/sqrt(5)))\/(sqrt(27)*-5 - (sqrt(243)*1 - sqrt(3))).\nAnswer: -2*sqrt(3)\/69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.220604345 to two dps.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 + 142. Let q(f) = f**3 - 2*f + 2. Determine q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -86*y + 267*y + 7 - y**3 - 2*y**2 - 181*y. Calculate b(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 11165791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/15, -2, -3269 in descending order.\nAnswer: 8\/15, -2, -3269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -337?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + k - 2. Let u(w) = -w**2 - 6*w + 6. Let d be u(-6). Let h(t) = -t + 4. Let i be h(d). Determine m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/6 - j**2 + 167*j - 2. What is q(-11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 9. Let u be k(-7). Suppose -4*g + 38 + u = 0. Suppose -i + 14 = -4*c, 3*c - 2*c = -i + 9. Calculate the lowest common multiple of g and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 9*k - 20. Give l(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 3, j: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -18, -2 in decreasing order.\nAnswer: -1, -2, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 8 + 16. Is (0 - -273)*m\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 - -182. Let g(p) = 5*p**3 + 9*p**2 - 9*p - 2. Let y(l) = 4*l**3 + 8*l**2 - 8*l - 2. Let n(b) = 5*g(b) - 6*y(b). Calculate n(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.586419cm to nanometers.\nAnswer: 5864190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 13. Let s be w(-17). Let -78*m**2 - s*m - 83*m**2 + 160*m**2 + 12 = 0. Calculate m.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -84*1*2\/(-4). Suppose -28 = -2*g - 5*k, 5*k - m = -3*g - 10. Let n(z) = g - z**3 + 2*z**2 + 3*z + z - z. What is n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 57?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k - 3. Calculate o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 756549 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3245 + -3246. What is the smallest value in 3\/4, -2, -4, 311, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -138027\nAnswer: 690135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4 = 0, 3*d + 17 = -10*i + 6*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 92*a**2 - 180*a - 126. Determine g(94).\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -y + 6, 7 + 1 = 4*y + 4*x. Sort -2, -7, y, 3.\nAnswer: -7, -2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -8, 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-36)\/(-6))\/((-6)\/(-45)*1) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3100 by -10.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/128 and (-9)\/(27540\/17663) - -6.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27336?\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253832743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1. Let p(s) = 73*s**2 - 13. Let t(o) = 4*g(o) - p(o). What is the derivative of t(n) wrt n?\nAnswer: -146*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46520 and 720?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 71 - 633 = -2*v, 2*f = 5*v + 683. Is f less than 348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181127, 181225, 181323?\nAnswer: 181421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Let v be 5\/10*g\/(-2). Suppose v = -3*r + 87 - 27. Solve r = -5*q + 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221417965.\nAnswer: 5, 31, 43, 139, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**3 + 27*d**2\/2 + 20. Factor x(s).\nAnswer: -3*s*(s - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-135)\/18)\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7425 divided by 3\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6)*2)\/(1\/(-3)). Suppose -5*l - j + 18 = -o, 3*l - 5 = -4*o. Determine n, given that 3\/7*n**4 - 6\/7*n**2 + 0 + 3\/7*n**l + 0*n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1474667476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28395 (base 13) to base 5\nAnswer: -4402302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -33\/10 (b) -3\/4 (c) -0.5 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/3 (b) -33 (c) 0.023 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:52 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0. Suppose -4 = -n - w. Suppose -4*f = -v - 2*v - 10799996, -n*v + 2*f = 10799998. What is v rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - h - 55 + 159 - 55.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -10. Suppose 5*o = -4*t + 48, 4*t = -o - l*t + 16. Suppose -3*a - 3*f + 17 = 2*f, 3*f + 1 = a. Solve -o = -0*b + a*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 236\/33?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**2 + 17*b + 1. Let f be j(5). Is 2 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215*w - 1211*w - 11 = -3*s, 0 = -4*w + 5*s + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74380 is divided by 827?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 2.4?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 1, h: 1}. What is prob of picking 1 l and 1 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i + 314 = -375 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/42 - (-62)\/70.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1181*j**3 - 3*j - 2362*j**3 + 1182*j**3 + 5 - 6*j**2. Determine f(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 641113*k**3 - 3 + 0*k - 641112*k**3 - 2*k + 41*k**2 to q*k**2 + p*k**3 + w*k + v and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*h - 45*h - 6 = 39*h - 3*a, 2*h - 9*a + 40 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**22\/((n**(-1\/11)\/n)\/n**15))**(-1\/7) assuming n is positive.\nAnswer: n**(-419\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110022100 (base 3) in base 4?\nAnswer: -2030031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.49 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311933 is divided by 77879.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-2 - 4 + 4)*(-3 + 2 - 2)*(-w - w + 0*w).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006352 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -73. Calculate the common denominator of -143\/12 and (h - 0)*(-4)\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a**2 - 4*a - 7. Let w be o(-5). Let c = 236 - w. Is c\/(-18) + 8\/(-36) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - 1244?\nAnswer: -1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7275 and 5175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i + 30. Let j be o(-10). Suppose 0 = 5*t - 4*s + 219, 0 = 3*s - 1 + 13. Let y = t - j. Solve 3*u = 2*r - 4, 3*u - 6*r = -y*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 51 + 16 = 0. Let z = 6 + -2. Solve -b - 3*s - 8 = -s, -l*s - 23 = z*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0*f = -0*f - 2*f, 3*m = 2*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 408.6 + -410. Let d = 5.9 - 6. Which is the second biggest value? (a) h (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 892 + 334 = 613*q. Determine y, given that -2\/7*y**3 + 2\/7*y**4 + 2\/7*y + 12\/7 - 2*y**q = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 2*t + 5. Let r(l) = 2*l**2 + l - 3. What is -2*g(m) - 5*r(m)?\nAnswer: -2*m**2 - m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 - 6*h**3 + 3*h**2 + h + 2*h**2 - 2*h**2 in the form v + o*h**2 + b*h**3 + u*h and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w\/w**7*w)))\/w*w*w**(4\/7))\/(w*w**(-1)*w)**(-2))\/((w**(-4)\/w)\/w**7)**(-1) assuming w is positive.\nAnswer: w**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154490689 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*t + 23, 0 = z + 2*t - 10 - 1. Let u(v) = -v**3 + v + 4. Let c be u(0). Find s such that 0*s + 1\/2*s**c + 1\/2 - s**2 + 0*s**z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10886, 10892, 10890, 10880, 10862?\nAnswer: 10836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1210 or -93281\/77?\nAnswer: -93281\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 9*s + 14*s + 4*s**2 to the form v + b*s**2 + i*s and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1155\/(-154)*(-32)\/(-4)*(-3)\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (9 - (-1 + 10 + -6)). Solve -j + 3*x = -3*j - 7, -j + u*x + 24 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*q + 20*q + 2*q)*(2 - 1 + 8)*(-20 + 7 + 24) to the form x + h*q and give h.\nAnswer: 2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (7 + (-34680)\/1540) - (-6)\/(-14).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 512 = 65*l - 67*l, -4*d = l - 236. Solve -107*z + 135*z - l = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**3 - 12*y**2 - 11*y + 8. Let o = -13 + 30. Let n(u) = 20*u**3 + 35*u**2 + 32*u - 23. Let s(m) = o*k(m) + 6*n(m). What is s(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9036037 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 3621, -8.\nAnswer: -8, -2, 13, 3621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*s - 4*t, s - 2*t = -t + 16. What is the least common multiple of s and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000165275 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-39)\/18)\/(-13))\/((11\/(-1122))\/((-24)\/(-16)))?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107*z - 4*a - 32 = 1103*z, -5*z + 38 = -4*a for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p - 14. Let f be q(-5). Put -39, 5, -1, f in decreasing order.\nAnswer: 5, f, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10925757 times 0.081\nAnswer: -884986.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 14*k + 3. Let u be h(-14). Suppose 4*w - 5 = -u*g, -g + 4*g - 4 = -5*w. Calculate the highest common factor of 27 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 287, -275, -837, -1399, -1961, -2523?\n\"Answer: -562*f + 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 11*x**2 - 6*x - 20. Let p be i(10). Solve t - p = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 468453*r**4 + 12444*r + 7 wrt r.\nAnswer: 5621436*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 2508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 21*t + 36. Give y(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 65*c + 2. Let a(d) = -2553*d**2 - 2. What is k(a(q))?\nAnswer: -165945*q**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6254 - -6264. Which is the second biggest value? (a) 2\/3 (b) 3 (c) -0.2 (d) -0.1 (e) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsg when three letters picked without replacement from {l: 1, t: 1, g: 2, e: 2, d: 1, s: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 44 (c) 26.7 (d) -0.0533 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26635645 is divided by 1819.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130303 (base 4) in base 15?\nAnswer: 82d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 - 4*h + 3. Let o be w(3). Suppose 14*q - 2146 - 15928 = o. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284848795?\nAnswer: 5, 7, 11, 277, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1629138310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 44*r**3\/3 - 15. Let n(c) = c**2. What is n(j(y))?\nAnswer: 1936*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g. Let s(h) = 20*h - 15. Let w be s(15). Let t(n) = -w*n + 5*n**2 + 566*n - 281*n. Calculate t(b(k)).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 63. Determine r(0).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 4*b - 30, -u - 5*b - 148 = 7*u - 92 + 221 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23102, -46204, -69306, -92408?\nAnswer: -115510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.1051.\nAnswer: -0.5255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)*-3 - sqrt(76))*-2 + sqrt(76))*-3)\/(sqrt(324)*-3*5).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19225*b + 76331.\nAnswer: 19225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100010 (base 2) to base 10.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1179199.608 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27662 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1810576 and 2512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*l + 74*l - 12 - 368. Let n be (-4)\/(-10) - (-18)\/5. Solve l*h = -20, n*m + 3*h + 2 = 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 * 76020\nAnswer: 8970360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f, 4*o - f + 77 - 117 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 112 = 0. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + l**2 + l + 16. Let g be i(0). Suppose -4*p + 7*p - 108 = 0. Let y = p - g. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxwiiaaawnx. Give prob of picking 1 a and 1 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11767808 divided by -905216\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/95)\/((3\/5)\/(247\/(-1235)))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*d - 2*v - 82, -2*v = -3*d + 120. Calculate the remainder when d is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-45)\/27*478026\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 24230?\nAnswer: -24223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 81 = -2*u, -u - 21 = -2*u - 4*h. Suppose 2*x + 5 = u. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3557 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 229197572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 6*s**2 + 8. Let y = -5 - -29. Suppose -4*f + y = -0. What is the units digit of g(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g. Suppose 0 = -g*y + y. Suppose y = -3*m + 7*m - 16. Calculate the highest common divisor of 40 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.9 - -4. Let g(u) = -u**3 - 7*u**2 + u + 21. Let h be g(-7). Suppose 18*o - 64 = h*o. Is p > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7890 + 8*j + 7898 - 3*j. Let z(m) = 1. Give -x(v) + 5*z(v).\nAnswer: -5*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11783 a factor of 3059407567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 52 = -4*y, -2*y - 6 = -5*g + 7*g for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1490*f - 360*f - 425*f - 393*f - 386*f.\nAnswer: -74*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5)*y**(3\/2))\/(y**2\/y**(2\/11)))\/((y\/y**3)\/(y\/(y*y**3))*y\/y**0*y*((y*y\/(y\/((y*y**(1\/3)\/y)\/y)))\/y)\/y) assuming y is positive.\nAnswer: y**(-611\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6 + 5. Let q = -11 - -13. Sort q, -5, x in ascending order.\nAnswer: -5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/270 + s**4\/108 + 8*s**2. Suppose b(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(21)\/(-2*sqrt(1008)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -27907 (base 10) to base 5\nAnswer: -1343112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -96*t**5 - 3056*t**4 + 31198*t**3\/3 - 25168*t**2\/3 + 3566*t\/3 - 140\/3 = 0.\nAnswer: -35, 1\/12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 + 4*x**2 - 24*x = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -28. Let p(y) = 2*y**2 - 10 + 2 + 7*y + 2*y**2 - 3*y**2. Let x be p(-9). Calculate the highest common divisor of d and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 5*v**2 + v - 1. Let r be m(4). Let y = r - -23. Suppose s - 30 = 4*a + y, s - 22 = -2*a. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 11. Put -1, -1\/7, r in descending order.\nAnswer: r, -1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -1 - 13 - 6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91256.27823 - -91255. Let y = g + 1.3639. Let h = y + -0.085. Round h to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 434.9 + -434.72. Let r = -1.8 - -2. Is b < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -203, 5, -1, 46 in descending order.\nAnswer: 46, 5, 4, -1, -6, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -321, -361, -417, -483, -553, -621, -681, -727?\n\"Answer: n**3 - 14*n**2 - 5*n - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6024694 by -16.\nAnswer: -3012347\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20e8 (base 15) to base 7.\nAnswer: -26213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 788*k**2 + 2702.\nAnswer: 1576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 8. Let w be x(0). Let n(y) = -35*y**3 - 10*y**2 - 13*y - 10. Let o be n(w). Let c = 42374 - o. What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-97)\/(-2))\/(4\/24*-3). Let n = 99 + z. Solve -3*u - 2 + 3 = -d, -u - 2*d = n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/3))**15)**8)**14 assuming s is positive.\nAnswer: s**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 13*f + 3. Let r be j(13). Suppose -2 = -z + r*t, -4*z + 10 = z - 4*t. Factor -7*m**2 - 4*m**3 + 6*m**z - 7*m**2 + 8*m**4 + 4*m**5.\nAnswer: 4*m**2*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -8408?\nAnswer: 8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*c - 20 = 0, 2*g + 4*c + 10 = 2*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15419\/4 at least as big as -3854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 5. Suppose k*q + 0*q = r - 18, 0 = r + 5*q. Suppose 0 = 5*v - 27 + 2. What is the greatest common divisor of v and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23928 divided by 7976.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from bbbqqebpppp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - o + 354 - 129, -5*k - 5*o = -565. Let p(t) = 119 + t - 231 + k. Suppose -12 + 4 = 3*d - h, -d - 20 = 4*h. What is p(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(3 - (-27)\/(-6)). Let l(a) = -4*a**3 + 3*a**2 - 4*a + 2. Let n(j) = -j**3 - j. Let v(q) = t*n(q) - l(q). Let h = -6 + 8. Determine v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8930 is divided by 4449?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 941410 by 5.\nAnswer: 188282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in -0.5, 2\/9, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1785 and 2415?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3))**(2\/13)*(i\/(i*i**1*i*i))**6)\/(i**(-2\/3)*i\/(i\/((i\/i**(-10))\/i*i)))**48 assuming i is positive.\nAnswer: i**(-20050\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -0.4, -115?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 264 = -0*a. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 12*n + 6. Let u be o(10). Suppose -u = -x - 29. Let j be 1\/((-13)\/4 - x). Let g(q) = -2*q**2 + 5. What is g(j)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5*r**2 + 2\/5*r**5 + 0 - 14\/5*r**3 + 0*r + 0*r**4 = 0 for r.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/2 of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -24. What is the closest to d in 5\/2, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5921 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045, 2056, 3067, 4078, 5089, 6100?\nAnswer: 7111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3392345016 to the nearest integer?\nAnswer: 58244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -288\/1603, 3.\nAnswer: -288\/1603, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:03 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 455*y + 713. Is m(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33.40442 kilometers?\nAnswer: 33404420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 8 + 6*j**2 + 2*j + 3*j + 0*j**3 - 3*j. Let a be t(6). Find the third derivative of -2*y**3 + 4*y**4 + a*y**2 - 2*y**3 + 4*y**3 wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.1 (c) -1.5 (d) 0.4 (e) 2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*p - 70. Let q be 4\/(-6)*(-42 + -3). Let r = q + 5. Calculate the remainder when r is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2*t + 3*t - 3*t)*(-14*t - 428*t**3 - 2*t**2 + 57*t + 429*t**3) as v*t**4 + g + l*t + i*t**2 + m*t**3 and give i.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 7*h - 2*h - 369, 2*h - 3*j = 145. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*m + 477 = -m, -m = 5*o - 1185. Let q = o - 208. Calculate the remainder when q is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - a. Let z(v) = -6*v**2 + 69. Let n(c) = -5*p(c) + z(c). Let d be n(-6). Solve -l - 5 = 4*u - 0, -d*u - 3 = l for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8) - -2*sqrt(8)) + sqrt(13) + (-3*sqrt(156) - sqrt(156))\/sqrt(12).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*m = -j + 28, 12 = j + 4*m. Suppose 4*v - 8*x + j = -4*x, 3*v = x + 3. Which is the third smallest value? (a) v (b) -3\/4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 6168?\nAnswer: -13\/1542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*r = -2*x + 523*r + 527*r + 13, 2*r = -x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141667, 269252, 396837, 524422, 652007?\nAnswer: 779592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.79 - 1.94. Let y = -1.936 + n. Are y and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, l: 4, c: 4, q: 2}. Give prob of picking 2 c and 1 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*(-24)\/10 + (-120)\/35?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -85 (b) -0.07 (c) -0.5 (d) 1\/2 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 52\/3)\/(2\/(-6)). Let l = i + 58. Suppose l*o + q + 386 = 3*o, -q - 514 = -4*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -181793350 to the nearest ten thousand.\nAnswer: -181790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**4\/2 - 14*v**3\/3 + v**2\/2 + 7*v - 1308. Determine u(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**1\/x)\/x)*x\/(x*(x*x\/x**(2\/7)*x*x*x*x)\/x))\/((x**(-1\/3)*x)\/x)**(15\/8))**(5\/4) assuming x is positive.\nAnswer: x**(-585\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(2) - sqrt(18)) + 5 - sqrt(2)) + -4 + (-1*sqrt(2))**2 - (sqrt(72)*-2)**2*-6)*4 + -5 + 0).\nAnswer: -48*sqrt(2) + 27676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56042911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*(-252)\/(-112)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 99, 170, 253?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 8 = w - 0*p, 3*w = 2*p - 2. What is the nearest to w in 0, 1, 0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/21, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**4\/66 - 13*g**3\/33 - 12*g**2\/11 - 62*g. Find z, given that w(z) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19093, 19034, 18977, 18922, 18869, 18818, 18769?\n\"Answer: x**2 - 62*x + 19154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:55 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Suppose l = -5*z - 3*a, -4*z - 5*a = -3*a + 2. Let m = -6427\/14481 - 1\/1609. Is m less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 198 = -3*t, -u + 5*t - 32 = -76. Suppose 4*r - 5 - u = 0. Solve 3*y - 1 = r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Suppose 0*q - t*q + 30 = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119349 by 6.\nAnswer: 39783\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13903160 + 23426823599\/1685. Let w = n - 2\/337. What is the closest to 2\/7 in 3, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) 1 (b) -1.73 (c) 4\/7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**3 - 63*o**2 - 171*o + 11. Is t(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3309\/272 - 210\/17. Is 0 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465686 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 7*m**2 + m - 1. Suppose 19*y = 8*y - 77. Determine s(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.04 + -16. Let m = -1725.04055 - -1725. Let w = b + m. What is w rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -41630\nAnswer: -2\/4163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqquqquqquuqqqqqqq. Give prob of picking 3 q and 1 u.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1353.7 - -11\nAnswer: -1342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 16*n - 14*n - a, 17971*a + 20 = n + 17968*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -208*s + 32. Suppose -10*m - 114 = 9*m. What is the tens digit of a(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5361300 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 1248*z**2 - 2494*z**2 + 3*z + 1245*z**2 - 4*z.\nAnswer: -z**2 - 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/23 (b) -1664 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -47. Let g = -61 - -129. Suppose -t = -g + 48. What is the least common multiple of t and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 94, 211, 364, 547, 754, 979, 1216?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656.1519 minutes to nanoseconds.\nAnswer: 39369114000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -4853?\nAnswer: 4858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7644\/728*(-2)\/120 - (-3)\/10\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = 61*h + 15*h + 15*h. Is h greater than -53\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/13 in -1, 93, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 - -114. Let j be (-1*1\/c)\/(35\/(-40)). Are j and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34443*l + 103333*l - 43 - 3*l**3 - 34444*l + 43 - 34446*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/360 + l**5\/60 - l**3\/6 + 2*l**2. Let j(y) be the first derivative of g(y). Let j(f) = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*i + 88*i - 11275 + 12249 - 13298 for i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**6 - 9*s**3 + 1536*s**2 wrt s?\nAnswer: 120*s**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(-14*(-105)\/(-107800)) + 48\/16\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**2 + t + 0 + t**3 - 2 + 4. Suppose 4*u - h = 50, 64 = 5*u + 5*h - 11. What is the remainder when u is divided by w(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43834686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m**2 - 36*m + 9. Let x(t) = -3*t**2 - 12*t + 3. Let z(n) = 2*v(n) - 7*x(n). Calculate z(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*p**4 + 638316*p**3 + 361143*p**2 - 3704844*p + 2822085 = 0 for p.\nAnswer: -1085, -3, 17\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 589 times 2\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1270222, -1270132, -1270036, -1269928, -1269802, -1269652?\nAnswer: -1269472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31267412?\nAnswer: 2, 11, 710623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*i + 10 = 0, 3*i - 1 = 7*d - 3*d. Suppose 2\/5*w**d + 4\/5*w + 0 = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -228. Let k = -303900550 - -303900346.999911. Let h = k + u. Round h to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14370, -28745, -43122, -57501, -71882, -86265, -100650?\n\"Answer: -i**2 - 14372*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 - 5.935\nAnswer: -5.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Suppose d*f - 4*f = -8. Let k(q) = q - q + 1 - q. What is k(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1351677620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 26*r**2 + 2824*r - 1079. Give g(-109).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47 - 142 + 13*c - 14*c + 44 - 108 + 144*c**2 with respect to c.\nAnswer: 288*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200319 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27.036886 - 1.4\nAnswer: 25.636886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 442475664 plus 0.2?\nAnswer: 442475664.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11632.5 - 11633. What is the second biggest value in 0.05, m, -325\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101011100011110 (base 2) in base 14?\nAnswer: 83862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + 6*a + 1. Let d(y) = 2*y**2 - 5*y. Let i(k) = -k**3 - 12*k**2 - 2*k - 28. Let q be i(-12). What is q*g(l) - 5*d(l)?\nAnswer: 2*l**2 + l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (3 + -2)) + 2497\/11 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -114.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 4*c**2 + 4*c. Suppose -5*n = 5 - 105. Let p be 11\/(55\/n) - -1. Let m(k) = 5*k**2 + 5*k. Calculate p*u(s) - 4*m(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676587?\nAnswer: 3, 225529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/176*-8)\/((-1)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -9*d. Is 6\/9 - (-595)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 16. Let k be g(6). Let n = 100 + -100. Let w = -10 - -19. Solve d + 13 = k*c, -d + n*d - w = -2*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4, 136 = -5*c + 4*q + 160. Solve -5 = -x, x + 5 + 10 = c*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/((-304)\/95)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**2 - 4\/33*l**3 - 8*l - 1\/165*l**6 - 1\/22*l**5 - 4\/33*l**4 - 2. Suppose c(q) = 0. What is q?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3564, -3615, -3706, -3843, -4032, -4279, -4590?\nAnswer: -4971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -360, -677, -994?\n\"Answer: -317*k + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(10 - 2) - (-503793)\/188. What is x rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4*i - 5*a + 5755 = 0, 2877 = 5*i + 3*a. Is i a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1890, 903, -70, -1023, -1950, -2845, -3702, -4515?\n\"Answer: l**3 + l**2 - 997*l + 2885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) 12\/25 (b) 0.0823 (c) 20 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*q**3 + 73*n**3*q - 47*q**3 + 2*q with respect to n.\nAnswer: 3*n**2*q**3 + 219*n**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 3. Let o(m) = 6*m. Let q be o(1). Let r = q + -3. Let z(l) = 25 - 19 - l - 7. Give r*s(t) + 8*z(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:19 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - -2) + -10 - (-5 + 1))\/((-8)\/(-204))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1676509\/3762 - 4905\/11. Find the common denominator of n and -75\/26.\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 32*a**2 - 66*a - 1289. Give p(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03830536 to 4 decimal places.\nAnswer: 0.0383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86040608 and 2024.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -2 - (-6)\/(-2 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 10*q + 5. Give t(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n + 125. Let v(y) = -9*y - 125. Let b(z) = -2*s(z) - 3*v(z). Let c(w) = -w**2. Give c(b(j)).\nAnswer: -j**2 + 250*j - 15625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -43, -6, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - v + 1. Let g(f) = 3*f**2 + 4*f + 2. Let q be g(-2). Let j be 5\/(-15) + (-16)\/q. What is u(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 8:30 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v**3 - 53*v**2 + 140*v - 710. Determine c(5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92233103 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 120*k**3 - 114*k**2 - 120*k + 117.\nAnswer: -3*(k - 39)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2004 = -5*r + 2101. List the prime factors of r.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -10 - 2. Let q(u) be the second derivative of -7*u**3\/6 - 25*u**2 - 12*u. Let c be q(-7). Sort -3, w, c.\nAnswer: w, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41033 - -22348. Is f\/(-20) + (-2)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 25*k**2 + 2*k - 255. What is the tens digit of c(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159672.205 + 159688.40500069. Let o = -16.2 + k. What is o rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) 1\/9 (c) -338 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2359.474 millennia to decades.\nAnswer: 235947.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*q = -38, -5*y - q = -2*y - 28. Suppose 5 = -r + 5*p, 5*p = -2*r + 3*p - y. Let l(h) = -4599*h + 5. Let a be l(r). Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 65205?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32\/5*i**2 + 0 + 0*i - 184\/5*i**4 - 44\/5*i**5 - 208\/5*i**3 = 0. Calculate i.\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 94540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*n**5 - 12*n - 46.\nAnswer: 980*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 2, 635, -15\/502?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 5*u + 7*u + u + 11*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 18, 37, 64, 99, 142, 193?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 9*z**2 + 15*z + 56. Let k be l(-8). Let u(p) = -p**2 + 3*p + 3. Determine u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 26*d**2 + d + 31. Give h(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {n: 2, y: 1, x: 2, l: 2, s: 1, d: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2133232022 (base 4) in base 2?\nAnswer: 10011111101110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -80*a + 164. Let f be s(2). Solve -f = -2*o + 5*u + 4, 4*o - 5*u - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6 + 9. Let q(o) = o. Let m(w) = 2*w. Let a(y) = f*q(y) - 6*m(y). Let s(j) = 2*j. Give a(s(i)).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 2*q + 2*q, -4*q + 16 = 0. Let k be 1\/5 + (-58)\/(-10). Calculate the remainder when 2\/k + (-44)\/(-3) is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 41. Suppose 87 = 3*x - 3*j, -x - j = 1 - 20. Calculate the remainder when x is divided by ((-26)\/8)\/((-4)\/t).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -r - 11, -2*q - 7*r + 2*r - 11 = 0. Solve 4 = -l + q*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2169*i + 8728. Determine h(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74502 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 + -19)*(-2 + 0). Suppose u*i - 5*x - 7 = 10, 0 = 5*i - 5*x - 20. Let n(f) = 2*f - 6. Let y be n(5). Solve y*d + 5 = -i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t**2 + 18770767*t - 69259198?\nAnswer: -2*t + 18770767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439253 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 -4*z = 102 - 142 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*k + 40, 43*o + 5*k + 8 = 40*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/3)\/((-4)\/(-6)). Is g at least as big as -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 1 = 0. Let g = -2 - -7. Let y = g - i. Solve 5*j + y = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/2 - 1453*b**3\/3 - 1939*b - 33. Differentiate f(m) wrt m.\nAnswer: 6*m**2 - 2906*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 815 by -19.\nAnswer: -815\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 94*a + 565. Let s be h(-7). Solve -1 = -k, -4*t + s*t + k - 5 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + x - 4*x = 218419, -4*a + 2*x - 218434 = 0. Let j = -21143 - a. Suppose -4*q + 8 = 0, 4*q = 5*h - 6528 - j. Round h to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3561*z + 2230*z = 2385*z + 1335*z + 272754 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 3)\/(0 - 1). Suppose 5*k + s*a = -398, -4*k = -2*a + 5*a + 316. Is 20 a factor of k\/(-2) - 0\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 0*z**2 - 7886171*z + 7886171*z - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**(2\/3) assuming t is positive.\nAnswer: t**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-44)\/198 - (-1532)\/9. What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izii. Give prob of picking 1 z and 2 i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 + 0.54. Let j = -13\/7 - -2. What is the second biggest value in p, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*a = 40, 613*a = -40*u + 611*a + 148 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(5\/2))\/c*c**(-1) assuming c is positive.\nAnswer: c**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -207, -540, -1015, -1638, -2415, -3352?\nAnswer: -4455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487902590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -34*v - 27 - 42. Let c(d) = -2*d**3 - 4*d**2 - 3*d. What is c(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + -14 + 10 + 37?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-8)*1)\/(2\/(-988)). Let q = -244 - t. Solve -q*r + 3*w = w - 2, 3 = -3*r + 3*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -1\/40*z**6 + 0*z**3 + 0*z + 0 + 1\/15*z**5 + 0*z**4 - 4*z**2. What is the third derivative of r(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 10*c - 6. Let t(q) = -2*q**2 - 14*q - 4. Suppose 0 = -5*y - 14 - 16. Let w be t(y). Is g(w) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 - y**2 + y - 1. Let u be g(1). Let r be ((-2)\/5)\/(u\/(-40)). Let j(b) = b**2 - 5*b. Determine j(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 49. Let v = i - -33.999843. Round v to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19953, 40043, 60381, 81093, 102305, 124143, 146733?\nAnswer: 170201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2971583 is divided by 1474.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 9)\/(((-75)\/(-40))\/(-5)). Is -14 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 2*a + 85 - 87, -4*f + 3 = a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-10)\/6) + 207. Suppose 0 = -4*x - 58 + u. What are the prime factors of x?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 7*i - 9. Let g be d(-3). Suppose -2*o + 3*l = -27, g*l + l + 56 = 4*o. Calculate the lowest common multiple of 1 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 5 - 42*x + 10*x + 3 - 4*x.\nAnswer: -27*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 n when three letters picked without replacement from {f: 2, b: 1, s: 3, j: 7, d: 3, n: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -13*y**6\/6 + 17*y**3\/3 + 33. Find the third derivative of k(t) wrt t.\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41152 is divided by 391.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 216\/1577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -5, -3\/2, 1\/4, 9 in decreasing order.\nAnswer: 9, 2\/3, 1\/4, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109437 is divided by 18238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l + 273. Let u be i(-21). Let c = -1 + 5. Solve u*w + c = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-153))\/((-12)\/(-108)*14). Let n be (-48)\/(-1)*(-4)\/8. Let c = -51\/2 - n. Sort q, c, -5 in descending order.\nAnswer: q, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438805 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4580 and 243422420.\nAnswer: 4580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*b = -97*b + 3844 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**2 + 1. Let n(t) = -t**3 - 2*t**2 - t - 1. Let s be n(-2). Let u be f(s). Factor u + 0*h**2 - h**2 - 12*h + 3*h**2 + 4.\nAnswer: 2*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-9 - (-17 - -8)). Let n(b) be the first derivative of -1\/2*b**2 + p*b + 1. What is n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -170603*j**3 + j**2 + 28494?\nAnswer: -1023618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 296*h - 1543 + 359 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-2*(-2)\/16). Let t = -1 + -15. Let m = t + r. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 5, 0, -9, -22, -39, -60?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.9 - -12. Which is the closest to m? (a) 4\/3 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - r - 3. Let u be t(2). Let k be -2 + 6 - (u - -1). Let n be 4\/(-2) - ((k - 0) + -4). Sort 4, -5, n in decreasing order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 + 2*o - 2*o)*(-32 + 25 + 28) - o**2 + 0*o**2 + 0*o**2 to the form a*o + r + s*o**2 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 8:29 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102101312 + 10?\nAnswer: 102101322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 959, -3\/11, 0.2, -6\/7, -3\/5 in ascending order.\nAnswer: -6\/7, -3\/5, -3\/11, 0.2, 959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 14*y**2 + 13*y - 3. Calculate v(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.4 (c) -0.112 (d) -0.97 (e) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 242*d.\nAnswer: -d*(d + 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, l: 2, h: 3, q: 2}. Give prob of picking 1 h, 2 l, and 1 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77279368559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**7\/2240 - w**6\/320 + w**5\/160 - 5*w**3\/3 - 5*w**2. Let t(u) be the first derivative of s(u). Factor t(q).\nAnswer: 3*q*(q - 2)*(q - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 6) in base 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*6322\nAnswer: -9483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524222354.\nAnswer: 2, 79, 193, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 326*z + 49763 - 48785 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3990454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 14 - -5 - (-11 - (4 + -16) - -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -16*j**3 + 3*j + 15 + 15*j**3 + j - 14. Let s(k) = -k**3 + 4*k + 1. Let p = -21 - -15. What is p*s(q) + 5*w(q)?\nAnswer: q**3 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9761190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 o when four letters picked without replacement from bbbsbbobbobbbbobbobo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 7, g: 6, h: 1, e: 1}. Give prob of picking 1 h and 1 l.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2970 in 42, 1, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2044 + -2043. Solve x = 3 - c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Which is the third smallest value? (a) 5 (b) 59\/7 (c) 151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24327 + 24327.18. Which is the second biggest value? (a) f (b) -3\/7 (c) -2\/3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*x**5 - 9800953*x**4 + 60288326*x**2 wrt x.\nAnswer: 2580*x**2 - 235222872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 45*r - 19*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -r + 16*a - 11*a, 3*a = r + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1949414932 and 9754.\nAnswer: 9754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -345.\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 + (-2)\/(-8). Let r(w) = -2 + 8 + 35 - 6*w. What is the tens digit of r(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3798 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33390 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 193111926?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 249 (b) 2 (c) 2\/15 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 21. Let j(f) = 15*f**2. Determine j(n(g)).\nAnswer: 135*g**2 + 1890*g + 6615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3 + sqrt(245) + -1)**2.\nAnswer: -112*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183042 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(128) + sqrt(128) + 1*sqrt(128)))\/(sqrt(256)*2*-5).\nAnswer: 3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -478\/7 - -68. Suppose 11*j + 35 = 6*j. Sort z, j, 0.\nAnswer: j, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 339, 873, 1791, 3189?\nAnswer: 5163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlovnvlvoovnlea. What is prob of picking 2 l, 1 a, and 1 o?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*z = -22 + 119, -2448*z + 2450*z = 5*v + 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymmmmmyyyyym. What is prob of sequence mymy?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -1\/4, -1, -523, -3?\nAnswer: -523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 3. Let x(n) = 27*n - 26. Let y(p) = -5*p + 4. Let q(u) = -x(u) - 6*y(u). Calculate -4*o(w) - 5*q(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 1, v: 4}. What is prob of picking 1 k and 1 v?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -315\/2 + 158. Let c = 61 - 62. What is the closest to c in 1\/6, s, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315622 is divided by 625?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfs when three letters picked without replacement from {s: 3, p: 6, a: 4, f: 2, r: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35966*q + 21379 wrt q?\nAnswer: 35966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/13 >= -11517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 258 - 257.265. Round f to two decimal places.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*178*(-126)\/(-36).\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 276944? (a) 2\/13 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (406\/(-3654))\/((-4)\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -275 - -388. Let i = 127 - p. Let h(a) = -33 + i + 19 + 3*a. Let m(u) = -8*u. Determine m(h(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3252934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -13*w - 37. Let z be a(-4). Let x(i) = i**2 - 10*i - 73. Let j be x(z). Factor 10\/3*q - 4\/3 + 2\/3*q**4 - 2\/3*q**3 - j*q**2.\nAnswer: 2*(q - 1)**3*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 3 + 0*d + 2*d**2 - d**2. Let v be (-1 + 1)\/(-2 - -1). Let b be l(v). Solve 0 = b*q - 3*c - 6, -5*q - 4*c = 3 + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3\/3 - 8436*k**2 - 16876*k - 25316\/3 = 0. What is k?\nAnswer: -1, 6329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-16 - -6) + 0 + (30 - (2 - 1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63277337 and 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 17*w**2 + 214*w - 1396. Determine m(5).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((6*(1 + sqrt(2299) + 1) - (-1 + sqrt(76) - ((sqrt(19) - (sqrt(57)\/sqrt(3) + sqrt(19))) + -1))**2) + 5).\nAnswer: -396*sqrt(19) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*a + 1269 = -28099, 3*b - 2*a - 22026 = 0. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 113750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m - 197. Let j(h) = -49*h + 1578. What is -2*j(i) - 17*p(i)?\nAnswer: -4*i + 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -15 (c) -0.3 (d) 18 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 5*p**3 + 11 - 25 + (p**2 - p**2 + p**3)*(-1 + 0 + 4) as f*p**3 + u*p + a*p**2 + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 267345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 at most -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/120 and 12\/275.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-18)*(-3)\/(-4). Let j = 227 - 233. What is the closest to 2 in -3, j, 2\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 4*f - 95. What is x(0)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 30*t**2 - 32*t + 20. Let w be i(-24). Suppose 0 = 32*s - 36*s + w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/12*(-6)\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**3*y**3 - 6014134*a**3 + 2932*y**3 wrt y.\nAnswer: -12*a**3*y**2 + 8796*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -33*k + 124. Suppose 106 + 398 = -18*m. What is the units digit of q(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 divided by -73?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 50*r**2 + 332*r - 19. Calculate s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-8))\/((-28)\/16 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419233351.\nAnswer: 23, 18227537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 + 177. Let v(u) be the first derivative of 0*u**3 + 0*u - 23 - 9\/2*u**4 + 11*u**i. What is the second derivative of v(b) wrt b?\nAnswer: -108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190) + sqrt(190) + (sqrt(190) - -1*sqrt(190)))*4 + sqrt(190))\/(sqrt(1210) + -1*sqrt(1210) + sqrt(1210))*-4.\nAnswer: -72*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from yypmgyyyyyyi.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.0412 - 15.03. Let g = 9.4 + 0.6. Let o = v - g. Round o to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/2)*2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/88593 and -15\/1447019.\nAnswer: 4341057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183*p*r + 191*p wrt r.\nAnswer: -183*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 6*k + 6. Let f(y) = 3*y**3 - 3*y - 14. Let d(w) = w**3 - w - 5. Let c(x) = 17*d(x) - 6*f(x). What is 6*c(g) + h(g)?\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.4. Let k = -0.7 + 327.7. Let i = 304 - k. Is i >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(20) + sqrt(720)*2)\/(sqrt(24)\/(-3*sqrt(6)) + sqrt(4)).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-8)\/96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89711 and 3361151.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/220)\/((-109)\/(-18530)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15 - 29 = 0. Find the third derivative of p*f**6 - 3*f**2 + f**2 - 3*f**6 - 22*f**6 wrt f.\nAnswer: -1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/4 + 4*i**3 - 15*i**2\/2 - 30*i + 18. Let m be a(-13). Put 5, 7, m in descending order.\nAnswer: 7, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -72, -66, -66, -72?\n\"Answer: -3*n**2 + 15*n - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/13, -0.17, -2\/31, -3\/7, 3, 0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 11:44 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -2.73032557?\nAnswer: -2.23032557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21 = 6. Let w(k) = -k + 3. Let c be w(x). What is the second derivative of -a**2 - a - 2*a**2 + c*a wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9225 - 3.726. Let x = r + 0.8. Round x to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c + 4. Let b be 20\/30*(-27)\/3 + 7. Let h be (4\/c - b)*-1. Is h smaller than -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1693.528474 rounded to 2 decimal places?\nAnswer: -1693.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -a92b?\nAnswer: a92d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 13 = -12. Let w(j) = -o*j + 6*j - 3*j. Let y(g) be the third derivative of -g**5\/60 + 2*g**2. Calculate y(w(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 507.\nAnswer: -506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 461235 (base 7) to base 5\nAnswer: 10111401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 11*d + 21*d**2 - 11*d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3222010 (base 4) to base 15\nAnswer: -468a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021802 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - 1*1*sqrt(132))\/((sqrt(96) + (-2*sqrt(96) - sqrt(96)) - sqrt(96))\/sqrt(8) - sqrt(12) - sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**2 + 3840*y - 17106916 = 0. What is y?\nAnswer: -2603, 1643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45816 or 45823?\nAnswer: 45823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7121*y**3 + y**2 + 7*y - 8. Is b(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3199 by 10.\nAnswer: -3199\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/11 + 120806632*j**2\/11 + 241613258*j\/11 + 120806628\/11.\nAnswer: 2*(j + 1)**2*(j + 60403314)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 16*j - 1. Give w(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2057881 divided by 293983.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - l - l**4 + (-227 + 71 + 114)*(5*l**2 - l**4 - 5*l**2) to the form d*l**3 + k + f*l**2 + w*l**4 + g*l and give w.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*s**4*y + j**2*s*y - j*s**4 + 3*j*s**3*y + 27*j*s**2*y + s**2*y wrt s.\nAnswer: 48*j**2*s*y - 24*j*s + 18*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m - 832. Let y be m\/(-56) + 2\/7. Suppose -62 = -4*i + 3*o, -4*i - 2*o + y*o + 60 = 0. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101918 >= -101919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 9}. Give prob of picking 2 m.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(7) + -3)*6).\nAnswer: -17 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4331*f - 2 + 15 - 6)*(-2 + 5 - 1).\nAnswer: -8662*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 122\/12 - (-13)\/(-78). Let m = 13 - o. Let k be (6\/5)\/(2\/5). Solve -m - k = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.2 (b) 0.4 (c) -1.51 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157052214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8477.9*-1\nAnswer: 8477.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -40, -78, -150, -268, -444, -690, -1018?\n\"Answer: -2*p**3 + p**2 - 5*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.148 in 0.4, 5\/4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.5. Let w = -184 - -183.8. Let m be (-18)\/81*36\/52. What is the closest to w in m, f, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4461892 - 3025505. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 5*d - 3. Let s be p(-4). Let f = 14 + -10. Let r = s + f. Solve 2*x - 3*a - r = -0, 15 = -3*x - 3*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*a - 3*h + 31 = 220*a, -2*a + 35 = 3*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8406)\/30*350\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 1:26 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -425?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312 (base 4) in base 2?\nAnswer: 11110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from {q: 13, r: 6}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0. Let c = -3780.2 + 3780. What is the nearest to c in 5, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*n - 8300 + 14132 = 0 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1588658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/(-3)*(-3410)\/1265\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 32*j + 28. Let t be c(23). Suppose -4*z + 89 + t = 0. What is the remainder when z is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -o + 7. Let m = 33 - o. What is the units digit of m - -1 - (-16 - -16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = -0*x. Let l be (x\/4)\/((-4)\/(-24)). Suppose -3*w + 1 = -5*s, 3*s - l - 9 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231 + 240. Let b be ((-36)\/2)\/((-4)\/6). What is the highest common divisor of q and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*-4 - (-1120)\/480?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10509303 is divided by 3503055.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -671?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10086 - -20574. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1748*z + 77*z**2 + 5*z**2 - 1784*z to n*z + g*z**2 + q and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36841 or 36842?\nAnswer: 36841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964481 is divided by 3385.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -872616, -872614, -872610, -872604, -872596, -872586?\n\"Answer: j**2 - j - 872616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 5, -150?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**2 - 6*j + 38. Let c(q) = 6*q**2 + 4*q - 36. Determine 3*c(n) + 2*l(n).\nAnswer: -2*n**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 56724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7503525.\nAnswer: 3, 5, 33349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 2. Let x(y) = y - 1. Let b(i) = -4*i + 3. Let w(c) = b(c) + 2*x(c). What is the units digit of w(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17\/170 - 1\/((-30)\/60477)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14))\/(8\/(-28)) - 0\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416425?\nAnswer: 5, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101001110100010100011 (base 2) to base 7.\nAnswer: 65204156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0307583956 and -0.14785.\nAnswer: -0.1170916044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 - 4*c - 6. Let s(t) = 4*t**2 - 2*t - 3. Suppose 63 - 35 = -4*f, 0 = 3*h + 4*f + 34. Calculate h*o(n) + 5*s(n).\nAnswer: 2*n**2 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1863973*a - 687774 wrt a.\nAnswer: -1863973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -157, -406, -759, -1210?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/27*-3)\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917 plus 33100.8318?\nAnswer: 36017.8318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5556 + 7?\nAnswer: -554f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/4 and 6\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 32*b**3 + 14*b**2 - 14*b + 7. Let x be t(4). Suppose 2*o = 5*h - 61 - 2, -2*o = 3*h + 23. What is the tens digit of (-4)\/6*x\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9667445 divided by 58\nAnswer: -9667445\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-13 - -5) + 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 299459800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -266\/3 + 90. Which is the nearest to -2\/9? (a) y (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1203 + 12203?\nAnswer: 20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*c + 183*c + 220*c)*(-5 - 1 + 4)*(2*c - 13 + c - 2*c).\nAnswer: -696*c**2 + 9048*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*l**2 + 463*l**2 + 2 - 4 + 1 + 2*l.\nAnswer: 1111*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:40 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42150 and 9554?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-297)*((-1188)\/(-4))\/(-3)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 7*o - 9. Let t be l(9). Suppose 10*d - t*d = 10. Let i(u) = -2*u + 24. Calculate the least common multiple of i(d) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -182*o*x + 6723201*o - 15223*x wrt x.\nAnswer: -182*o - 15223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(624)\/(sqrt(36)\/sqrt(3)))\/sqrt(4) + sqrt(78)\/(3*-2*sqrt(6)))**2.\nAnswer: -25*sqrt(13)\/3 + 1225\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 y when three letters picked without replacement from {y: 1, x: 3, r: 2, n: 3, z: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**3 - 19*f**3 - 4*f**3)*(2 - 2*f - 2)*(-15 + 6 - 16)*(-3 + 0 + 20) as s*f**3 + q + x*f**2 + i*f + v*f**4 and give v.\nAnswer: -22950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) + -2 + 2. Let j(u) = u - 7. Let q be j(7). What is the closest to q in 1, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.04 - -7.54. Which is the third smallest value? (a) -12.4 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -55e?\nAnswer: -569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/((-6)\/(-68)))\/(-4)*-2. Suppose i = -5*k + 1247, -o*k = -16*k - i - 253. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -306*d**3 - 82*d - 82. Determine y(-1).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16821041 is divided by 186?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -29. Let q be (-6)\/2 - j - -2. Suppose -4*g - 2*z + 8 + q = 0, 5*z - 20 = -5*g. Solve g = -v + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -374*x**4 + 90037*x**3 - 33711*x**2 + 55*x - 4.\nAnswer: -8976*x + 540222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10926 = 7139. What are the prime factors of h?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from {u: 7, r: 1, y: 2, x: 1, c: 9}.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 20 = 2*u - 0*h, 0 = -5*h - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooooooiooooooio. What is prob of picking 3 i and 1 o?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 90 = -165. Solve -o = -3*h + 2*x, 15 = 3*x - 8*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4524 and 162162?\nAnswer: 9405396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541.3367 minutes to milliseconds.\nAnswer: 32480202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 399, 397, 381, 345, 283, 189?\n\"Answer: -d**3 - d**2 + 8*d + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0388 * 0.068.\nAnswer: -0.0026384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + q = -77, -4*u + 2*q - 4*q = -56. Suppose 9 + u = 3*o. Find the second derivative of 24 - 24 + 2*x - o*x**2 wrt x.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j + 6. Let b be 27\/5 + 24\/40. Let c(v) = 11*v + 5. Let y(n) = b*c(n) - 5*d(n). Let z(p) = p. What is z(y(k))?\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 165*r**2 + 1546*r + 2467. Determine d(-72).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-7))\/((-28)\/1666). Suppose -167*f = -h*f + 849. List the prime factors of f.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4132660 divided by -1033165?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143121 is divided by 87?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((12\/(-32))\/((-27)\/(-12))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2575394 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6960*b - 6949*b - 13 + 3*b**2 + 20866*b - 6953*b + 4*b**3 to k*b**2 + j + v*b + a*b**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 882 - 3?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -80652356.\nAnswer: -4\/20163089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 747691 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: Let i(p) be the third derivative of -p**4\/12 + 6*p**2. Let o(u) = -5*u. Give i(o(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -577, 3, -49, 5, 4, -1, -158 in increasing order.\nAnswer: -577, -158, -49, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 31. Let p = -31.4 - m. Let n = -0.2 + 0. Which is the third smallest value? (a) p (b) 3\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260\/(-130)*((-4)\/(-10) - 71609\/10)?\nAnswer: 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -9920736?\nAnswer: 25\/4960368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-20)*135\/110*11.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92561442 and 10?\nAnswer: 462807210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 80 = -17*p. Suppose 0 = -2*b - 5*t + 10, 0*t = t + 4. Calculate the remainder when b is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -265613.\nAnswer: 132806.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -63, -4, 7.\nAnswer: -63, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((160\/70)\/4 + (-81)\/(-189))\/(2\/(-142))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2129 - 10.7501. Let f = 72.9 + -61. Let i = s + f. Round i to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/2 + 4*w**4 - 21*w**3\/2 + 9*w**2.\nAnswer: -w**2*(w - 3)**2*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - p**2 + p - 1. Let x(v) = -13*v**3 - 6*v**2 + 2*v - 4. Determine 6*o(a) - x(a).\nAnswer: 7*a**3 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-4))\/(156\/(-208)). Let g(i) = 6*i**2 + 2*i + 1. Let b(w) = 11*w**2 + 3*w + 2. Calculate r*b(k) + 5*g(k).\nAnswer: -3*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1762, 2114, 2694, 3490, 4490, 5682, 7054, 8594?\nAnswer: 10290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 514 + -539 + (-1 + 3 - (-4 + 16))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-57)\/11 + 4. Which is the nearest to -5? (a) n (b) -5 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -819760, -819758, -819756, -819754?\n\"Answer: 2*q - 819762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -38*q**2 - 12424*q + 631. Give m(-327).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626185 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175503, -701945, -1579343, -2807697?\n\"Answer: -175478*m**2 - 8*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 2:06 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 522554?\nAnswer: -522553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 13\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = 2*x + j, -3*j = 2*x + 16. Let k(d) be the second derivative of d**5\/20 + 5*d**4\/12 - 5*d**3\/6 - 3*d**2\/2 + 50444*d. What is k(x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2548212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, 1 in descending order.\nAnswer: 4, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -6 + 102\/60 - (-2)\/(-10). Let w be (-172)\/42 + 4 - 2\/(-14). What is the closest to u in -1\/5, w, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p + 0*p**2 - 4 - 2\/3*p**3 - 1\/2*p**4 + 2\/5*p**5 + 1\/3*p**6. Factor m(i).\nAnswer: 2*i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 39. Solve 0 = w*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*t**3 - 8*t**2*u**2 + 2*u**2 + 5*u + 1 wrt t.\nAnswer: -147*t**2 - 16*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*j + 35 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.008677\nAnswer: 0.069416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 41\/2. Which is the closest to d? (a) -2 (b) 2\/17 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1015*q + 5077. Let m be k(5). Let h(p) = -p**3 + p**2 + 6*p - 10. Give h(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5027, 2 in descending order.\nAnswer: 2, -2, -5027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y**3 + 6*y**3 - 8*y**3 + 3*y**3 - 3 + 3 + (-2*y**2 - 4*y**2 + 5*y**2)*(-y - 4*y + 3*y).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(6\/(-3) + 28). What is the common denominator of (-12)\/(-78) + 5\/(a\/(-447)) and -87\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.009 (b) 2\/7 (c) 2423 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4326 - (-2 - 0)) + 0. Let b be y\/(-32) - (-2)\/8. Does 9 divide b\/6*24\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83661 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 8104.9727 to the nearest one hundred.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j - 4. Let f(v) = 23*v + 7. Determine 2*f(p) + 5*k(p).\nAnswer: -4*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 1. Let y(b) be the third derivative of b**3\/3 - 32*b**2. Let z(q) = -2*f(q) - y(q). Let x(o) = -18*o. Calculate z(x(p)).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 1945*y + 474362. Let z(o) = -24*o**2 - 9726*o - 2371802. Let k(s) = -28*u(s) - 6*z(s). Suppose k(v) = 0. Calculate v.\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-148)\/10 + (-2)\/10. Let v be (60\/25)\/(((-12)\/c)\/2). Solve -x = h, -h = -v*h + x - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.1, 0.048.\nAnswer: 0.048, 0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**4 + 31*a**2 - 710.\nAnswer: -12*a**3 + 62*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s*t + 380*s*w**2 + 45*s*w + 5815*t*w**2 + 37*t*w + 3*w**2 wrt t.\nAnswer: s + 5815*w**2 + 37*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 263 = -56*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 534 and 46870426?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(33) - -1*sqrt(33)*-2))\/(((sqrt(77) + -1*sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77)) + sqrt(77))\/sqrt(7)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -3 + 7 + 1 + -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 618430 or 618429?\nAnswer: 618430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-2\/9)*k)\/(k*k*k**4*k))\/((k\/k**(-4))\/(k*k*k**(1\/9)*k*k)))\/((k**5\/k*k**2)\/(k**(1\/3))**(-9\/4)) assuming k is positive.\nAnswer: k**(-149\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*m + 4. Is -9 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 163\/2. What is the second biggest value in -0.4, y, 4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 6\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-476)\/(-272))\/((-31)\/(-744)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (-2 - (4 + -6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 + -34. What is the remainder when 233 is divided by (a + 0)\/(21\/630)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-198)\/(-33))\/((-3)\/(-2)) - -236293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40776109 to three dps.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*r + 2*r**2 - 2*r**4 - 27*r - 3*r**2)*(-24 - 25 - 14).\nAnswer: 126*r**4 + 63*r**2 - 63*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 85c?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/40)\/(2*4\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - (-7 + -8)) + -18 + 7 + -10.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3037, -11145, -24331, -42595, -65937, -94357, -127855?\n\"Answer: -2539*h**2 - 491*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-40)\/5 + 6)\/((-2)\/2452). Suppose 0 = -0*z + 3*z - 9, -5*f - z - q = 0. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*n - 3*n - 15, 0 = -2*n - 6. Let x(l) = -l**3 - l**2 + 2*l - 1. Let k(m) = -m**2. Let j(y) = t*k(y) - x(y). Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3, -2*b = -3*m + 2*b - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 826 = -5*v + v, -5*a = -5*v + 1010. Suppose -v = -2*u - 2*u. Let q be (-2)\/6 - (-17)\/u. Solve q = -5*d - 9 - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 take away -1.2562?\nAnswer: 26.2562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27241\/310590 + 1\/2465. Find the common denominator of u and -115\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, w: 3, i: 4, j: 5, b: 5}. What is prob of sequence biw?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Let q(c) = 79*c + 2. Give -3*q(j) + 6*y(j).\nAnswer: -237*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + sqrt(1377)*2 + -5 - (1*sqrt(1377))**2*-4) + ((-2 + 2*sqrt(68))*5)**2.\nAnswer: -373*sqrt(17) + 12403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:31 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**4 + 2*c**2 + 8. Let t(m) = -4*m**4 + 3*m**2 + 9. Let k(n) = -3*q(n) + 2*t(n). What is the first derivative of k(j) wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220462 is divided by 1793.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h - 330 = 15*h. Let y(q) = -1 + 3*q + 0*q - 5*q**2 + 4*q**2. What is y(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i + i + 2 - 2 + 41*i. Let h(l) be the third derivative of l**4\/24 + l**2. Give x(h(m)).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 18. Suppose -6*s + t*s = 1075. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 687*i - 5456. Give w(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -624630 and -509?\nAnswer: 317936670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 - 7?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 60. Let f(u) be the first derivative of 0*u**2 - 1 + 3\/4*u**4 + 0*u + 3\/10*u**r + 1\/2*u**3. Factor f(m).\nAnswer: 3*m**2*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2484 + -2062. Which is greater: n or 421?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(175).\nAnswer: -10*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 150*a**5 + 3*a**2 - 110*a**5 - a**2 + (0*a**3 + 2*a**3 - 4*a**3)*(-5*a**2 + 2*a**2 - a**2) + (a**4 + 2*a**4 - 5*a**4)*(5*a - 2*a + 2*a).\nAnswer: 38*a**5 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/(12\/3). Suppose -17 - 15 = 8*t. What is the third smallest value in 0.2, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -27*b + 500. What is d(16)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (8 - 8) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.5, -1.18, 0 in increasing order.\nAnswer: -1.18, -1\/4, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) - -4*4*sqrt(832) - sqrt(832) - (1 + sqrt(832)*-2).\nAnswer: -1 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 7 + 5. Suppose -y*k = -7 + 1. Suppose -2*j**2 + 8*j**4 + 4*j**4 + 3 - 9*j**3 - 13*j**k + 9*j = 0. Calculate j.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1620)*2)\/(-2*sqrt(400) + sqrt(484) + (sqrt(484) - (sqrt(484) - sqrt(484)*1)) + sqrt(484)).\nAnswer: -72*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 < -7076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 3, s: 1, e: 1, h: 3, g: 2}. What is prob of picking 1 r and 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13302 and 24.\nAnswer: 53208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*b - 12, -34 = -2*y + 4*b - 10. Solve -1 + y = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681277973 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*v + 158, 0 = 4*v - 106 + 134. Calculate the greatest common factor of 64 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4135 + -3921. Calculate the remainder when g is divided by 119.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*f - 6*f, -6*s - 2*f = 88. Let t(g) = 6*g + 99. Let r be t(s). Solve -v + 17 = 3*p, 0*v + p - r = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654761131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*u)*(-5 + u**2 + 5 + (2*u**2 - 6*u**2 + 3*u**2)*(-5 + 0 + 3) + (5*u + 2*u - 5*u)*(91*u + 99 - 99)) as x*u**2 + q*u + o*u**3 + s and give o.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00101226 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 4*f**2 + 3*f**2)*(-18 - 2*f + 18) + 2*f**3 + f**3 - f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1120\/49)\/16*(-770)\/(-55)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 5*b**3 - 3*b**3 + 0 + 3*b**2 - 3 as x*b**2 + z*b + p + j*b**3 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 6*c**2 - c**2 + (-20*c**2 - 4*c**2 - 11*c**2)*(1 + 0 - 3 + (-3 - 1 + 2)*(-1 + 1 + 1)).\nAnswer: 141*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17\/198 - 1\/396. Let f(j) be the first derivative of 1\/9*j**3 + 0*j + 0*j**2 - 1\/18*j**6 + 3 + v*j**4 - 1\/15*j**5. Factor f(b).\nAnswer: -b**2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - 3*u**2 + 3*u**2 + (-u - 2*u + 2*u)*(0*u + 0*u - 2*u**2).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3278, -3343, -3408, -3473, -3538?\n\"Answer: -65*c - 3213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1. Suppose 11*a - 14*a + 3 = 0. Let r(n) = 3*n**2 - 7. Give a*r(f) + 6*m(f).\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*a + 4, v - 11 + 6 = -a. Suppose 11*f = -v*f + 19642. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 332.2158 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 36*q + 38*q - 6004, 1491 = a + 3*q. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8426 - -8855. Solve -347 = 97*s + v for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9589314 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59597308?\nAnswer: 2, 17, 876431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - 2*j + 0*j + 4*j + j - 4*j + (-1 - 4 + 2)*(2 - 2 + 2*j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (18 - -5) + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (49 + 43 - 84)*((5*t - 2*t - t)*(3 - 2 + 0) - 4*t + 0*t + t) in the form a*t + s and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(2\/3)\/1. Let q be 2 + -1*13 + i. Let x = -6 - q. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25243236 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -719644.\nAnswer: -719643.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -432 * -7.\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g + 2667 + 4235. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s + 2 = 0. Suppose 0 = -2*b + 3*b. Suppose b*c - 5*y = c - 45, -2*y = 3*c - 70. Solve i = 4*m - 2*m - 5, -s*m - c = 4*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y - 1390 = 1339 + 1266 for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 1. Let j(g) = -9*g + 1. Let o(r) = -4*r. Let k(m) = -3*j(m) + 5*o(m). Suppose 2*z = 4 - 0. Determine z*k(x) - 5*t(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + 2 + (sqrt(4)\/sqrt(2))**2 + 2 - ((sqrt(120)*2)\/sqrt(12))\/((-1*sqrt(25))\/sqrt(5)).\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 9986416.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 23*b + 0 + 0*b**3 + 17\/12*b**4 + 0*b**2. Let y(l) = 2*l**2. Give y(h(d)).\nAnswer: 578*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4)*(10121*n - 580 + 11915*n + 580)*(0*n - 4*n + 5*n).\nAnswer: -22036*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**2 - 86*g. Let l(i) = 353*i**2. Determine s(l(h)).\nAnswer: -623045*h**4 - 30358*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/213231?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 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 hundreds digit of 3136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 157.00009925. Round h to 6 decimal places.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j + 26. Let g be w(3). Put g, -3\/4, -3 in descending order.\nAnswer: g, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 2*y**2 + 3*y - 2. Calculate h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1155146258282\nAnswer: 1155146258287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12609229.\nAnswer: 29, 109, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f = 45*f - 2*k - 24, f + 53 = -4*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/5*(-542)\/(-13008)*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 62*i**2. Let o(d) = -7*d**2. Give o(v(w)).\nAnswer: -26908*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*i**4 - 459*i**2 wrt i.\nAnswer: 3984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -142 in -4, 0.1, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -10 (b) -3 (c) 2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5560*j + 37*j + 935*j.\nAnswer: 6532*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 5908*s - 3124*s - 2784*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:16 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 901 divided by -1428.\nAnswer: -53\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5923520649 to the nearest integer?\nAnswer: 76964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 131 + -131.00355. Round i to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - -5)*(-4 + 45\/9). Solve -12 = d*a + 48 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -934 + 940. Let z(r) = -7360*r - 40. Let w be z(g). Round w to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/6*(-6)\/4. Suppose h*g - 2*g = 6. Solve -f = -0*f + 4, -g*k - 2*f - 11 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1561 + 1089 + 865 - j - 2074 - 2171 in the form y + k*j and give y.\nAnswer: -3852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40677340?\nAnswer: 2, 5, 11, 23, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -400, -606, -814, -1024, -1236, -1450?\nAnswer: -1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44977a + 1?\nAnswer: 449780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1784 divided by -446.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152827218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(21)\/(1*(sqrt(7) + (sqrt(7) - sqrt(567)))) + -1)*-4.\nAnswer: 16*sqrt(3)\/7 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 100*x - 2. Let v(k) = -25*k**2 + 501*k - 2. Give y(v(p)).\nAnswer: -2500*p**2 + 50100*p - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 + 91 + 13)*(2 - 4 - 4*u + 3) + 2*u + 0 + 0 in the form x*u + l and give x.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*d + 58, 0 = -4*j - 2*d - 0 + 176. Calculate the remainder when 200 is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w + 9. Let d be (1\/w)\/((-3)\/18). Suppose -d*h - 60 = -6*h. Solve -h = -4*l + 5, 5*q = 2*l + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 + 535*l**2 - 1117*l + 3. Calculate v(87).\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*s**2*x - 161*j*s**2 + j*s - 133*j*x + 3*j + 2*s**2*x - x wrt s.\nAnswer: -2*j*s*x - 322*j*s + j + 4*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41315.\nAnswer: 5, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**5\/5 + 3*o**4\/4 + o**3\/3 + o**2\/2 - 78*o. What is the tens digit of h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 803*p**5 + 12*p**4 + 279*p**2 - 14*p. Let x(s) = -2*s**5 + 2*s**4 - 2*s. Let m(u) = d(u) - 6*x(u). Find the third derivative of m(b) wrt b.\nAnswer: 48900*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -205129?\nAnswer: -41025.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 95 - (-7 + -13 + 20 + 1 + -1 + 14)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1317 + 72*c**3 + 1317)*(1 - 3 - 1).\nAnswer: -216*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1156*m - 54324. Determine k(47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4*x + 86*g*x + 297*x with respect to g.\nAnswer: -4*g**3*x + 86*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v + 41*v - 18*v in the form t + a*v and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 3*f + 21 = 0, 78*h - 77*h - 4*f + 434 = 406 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -162 - -2108\/13. Let x = 2 - 1. Let h be (9\/(-3) - -5)*7\/(-91). What is the closest to p in h, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c*c*c\/(c\/c**0))\/(c**(-3\/10))**(-1) assuming c is positive.\nAnswer: c**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -7607?\nAnswer: -7608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.2357 plus 1544?\nAnswer: 1571.2357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7829084?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**2 + 102499956*b + 875520081666828 = 0.\nAnswer: -17083326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4, 4*z + 52 = 6*z - 4*h. What is the greatest common divisor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(2\/11)*a*a**3*(a*a**(1\/5))\/((a\/(a\/a**(2\/33)))\/a) assuming a is positive.\nAnswer: a**(1208\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*o, w - 57*o + 55*o + 14 = 0. What is the fifth smallest value in 1\/2, -8\/5, w, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**5\/5 - 3*x**4 + 39*x**3\/5 - 37*x**2\/5 + 12*x\/5 = 0.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -256898\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2 - -18) + -22)\/(1 - (-42)\/(-27)) - 2. Determine a, given that 1\/5*a**5 + 4\/5*a**2 + m*a**3 + 0*a + 0 + a**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o**3 - 1\/84*o**8 + 3*o**2 + 0*o**6 + 0 + 0*o - 2\/15*o**5 + 4\/105*o**7 + 1\/6*o**4. Determine a, given that l(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-21))\/((-2)\/(-60)*-2). Solve m*d - 27 = 5*x - 7, 5*x - 4 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(252)*2)\/((sqrt(192) - sqrt(12))\/sqrt(3)))**2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 4*p**2)*(2 - 1 + 28*p - 1) in the form q*p + z*p**3 + m*p**2 + x and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -272489658 divided by -19463547?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 + r. Suppose -o - o + 3*k = 0, 5*o + 38 = -2*k. Let c be (2 + 1)\/(o\/2). What is the remainder when 13 is divided by i(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5205, -5330, -5455, -5580, -5705, -5830?\n\"Answer: -125*v - 5080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/(-10) - 2 - (81 + -72)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101010011000 (base 2) to base 15.\nAnswer: -6d12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4 plus 244309437.54?\nAnswer: 244309410.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*r - 304 + 304)*(0 + 4 - 2).\nAnswer: 70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -32221*c + 12598405. What is y(391)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -5, 1, 5, -1.\nAnswer: -5, -1, 1, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n**2 - 2*n**4 + 16 + 616*n**3 + 27*n**5 - 613*n**3 + 2*n**4 + 58 wrt n.\nAnswer: 1620*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4088188?\nAnswer: 2, 13, 29, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:39 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10877953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12217 and 171.\nAnswer: 109953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298819.\nAnswer: 298819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16160223*m**2 + 137*m + 24531?\nAnswer: -32320446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 30 = 2*m, 0*m = -2*x + m + 72. Calculate the remainder when 796 is divided by x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, n: 2, j: 10}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = 376*c + 7216 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107783259.\nAnswer: 3, 73, 223, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(10\/(-4))*108\/(-9)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*75\/5. Let b(g) = -g**3 - 5*g**2 + 4*g - 6. Let x be b(l). Solve x = -5*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29638298.\nAnswer: 2, 14819149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1.5, -5\/9, -2.7, 31 in descending order.\nAnswer: 31, 1.5, 1\/4, -5\/9, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 2*t. Calculate z(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -1\/3774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**7*n)*n**6\/n)**(2\/91)\/(n**(3\/2)\/(((n*n**(-2)*n)\/n)\/n)*(n\/((n**(2\/9)*n)\/n)*n)\/n*n*n*(n*n**(-3)*n)\/n) assuming n is positive.\nAnswer: n**(-7115\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, -6 in increasing order.\nAnswer: -6, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19c3b + 1?\nAnswer: -19c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 16. Let t be (300\/42 - 7)\/(2\/s). Which is greater: 28 or t?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 415, 1617, 3619, 6421?\nAnswer: 10023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let q be ((-36975)\/60)\/(-29) + (-1)\/4. Let f be -2 - q\/9*-3. Solve 4*r + f*x - 2 = u, -4*x = 4*r - 0 - 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 - 2 - 3*d - 5 - 79*d**3 + 31*d**3 - 90*d**3.\nAnswer: -145*d**3 - 3*d - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*z - 65 + 1, 26 = -2*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1072, 3906, 8520, 14914, 23088?\nAnswer: 33042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -152. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21830\/390003 - -2\/5493. Let h = 6793\/852 - l. Find the common denominator of h and -41\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 19*i**2 - 2*i - 37. Let y be p(-19). Is y at most -4\/1957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10 - 6*w - w**2 + 1 - 7*w. Let i be x(-12). Suppose -d = -i*d. Which is greater: -0.7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + 1.7. Let s be (2\/6)\/(12\/9). Let t be 3*((-10)\/6)\/((-2)\/2). What is the nearest to s in x, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616082 is divided by 1297.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 7\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(968) + (sqrt(968)*-1 - sqrt(968)))*6 + -4)**2.\nAnswer: 1056*sqrt(2) + 34862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454126.6l in millilitres?\nAnswer: 454126600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.128601s in nanoseconds?\nAnswer: 3128601000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*w - 38704 = 458*w - 56*w - 8308 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 2, v: 2, i: 3, j: 2, u: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(49)\/(sqrt(126)\/sqrt(2)) + ((sqrt(28) - (sqrt(28) - sqrt(336)\/(2*sqrt(12))))\/sqrt(4))**2.\nAnswer: sqrt(7)\/3 + 15\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5988*d + 5985*d - 5 = -5*v, 15 = 15*v + 2*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 = -8. Let a(k) be the third derivative of -k**4\/24 + 3*k**3\/2 - 157*k**2. Determine a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3 - -1)*(-93)\/(-372). Put 2, -2, o in increasing order.\nAnswer: -2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/154 - (3836\/196 + -20)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11437 - 9413 = -688*w + 38488 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(17) + sqrt(85)\/(sqrt(15)\/sqrt(3)))**2*2.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 713736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p - 1. Let h be n(1). Let q be (-3)\/12 + 105\/h. Calculate the greatest common factor of q and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, -1\/3, -1, -68, -12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i**3 + 27*i**3 - 64*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*(1\/20)\/((-5104)\/344520).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 547.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(304) - (3 + sqrt(304) + 2*sqrt(304))**2.\nAnswer: -2743 - 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sus when three letters picked without replacement from suusssz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 149774 + 225890 - 3*n**3 + 59215.\nAnswer: -7*n**3 + 434879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**5\/30 - d**4\/6 + 2*d**3\/9 - 16*d. Let p(a) = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184650 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6 = -4*a, -a - 2*a + v - 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9032777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -21, 3, 206?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22022 + 10?\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 795 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 12 - (2 + 2 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1012210201100 (base 3) to base 11\nAnswer: -401129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -117?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -26, -101, -226, -401, -626, -901?\n\"Answer: -25*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**5 + 80*n**4 - 2072*n**3 + 15808*n**2 + 40560*n = 0.\nAnswer: -2, 0, 26, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(19) + -4 - (0 + sqrt(19) + -4)) + (((sqrt(912) + sqrt(57))\/sqrt(3))**2 - (sqrt(171)\/(sqrt(27)\/sqrt(3) + sqrt(9)))**2)*6)*-1.\nAnswer: -5647\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**2 - 28*j + 4. What is the remainder when 9 is divided by y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-81)\/(-234))\/(-3))\/(3\/(-4)). Let s = -42 + 127\/3. Which is the nearest to z? (a) -3\/5 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 819*r**3 - 65*r**2 - r wrt r?\nAnswer: 4914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c975 (base 16) in base 3?\nAnswer: -110121102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + y = 245, -3*y - 750 = -3*w - y. Let n be (-2)\/7 - w\/14. What is the common denominator of 6\/(-8)*(-498)\/n and 85\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123413402 (base 5) in base 6?\nAnswer: 21003452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 q, and 1 b when three letters picked without replacement from {p: 3, b: 4, j: 3, q: 2, z: 4, a: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222 + 37. What are the prime factors of a?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 4*k - 4*k - 2 + 4*k. Let y be (-2)\/(-5) - 78\/(-30). Let w(v) = 4*v + 2. Let j(s) = y*l(s) + 2*w(s). Give j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1, 0, -2\/5, 1\/2, -5\/274?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrk when three letters picked without replacement from {r: 2, d: 5, u: 3, k: 8, n: 2}.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-4)*169\/(-78).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o. Let p(i) = 33*i**3 - 7*i**2 - 7*i - 1. Suppose -8*w + 2*w = 6. Let r(j) = w*p(j) - 5*v(j). Give r(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5657, -5648, -5629, -5594, -5537, -5452?\nAnswer: -5333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, -5, 2\/69, -1\/9, 28?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q**3 - q**2 + q + 2. Let n(v) = -v**3 - v**2 + v + 1. Give c(b) - n(b).\nAnswer: 9*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, -5, 5.182, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625983 = -327*c + 5256*c for c.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a second in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101010001011 (base 2) in base 4?\nAnswer: -3222023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((2 + 1)\/(-6)). Suppose 21 = 3*l + 3*b, k*b - 2 - 8 = -2*l. Solve -x - 2*x = -l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 43*w**2 + 36*w - 3. Let p be s(1). Suppose 2*i + 2 = 2*l + 46, 0 = -5*i - 5*l + 80. What is the greatest common divisor of i and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4.16, -2, 0.2, 0.1?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6746681 or -6746689?\nAnswer: -6746689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -63*a - 91. Let k be z(-2). Suppose k = 6*w - 529. Let x(o) = 7*o - 1. Calculate the lowest common multiple of w and x(3).\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -56*t**3 + 2*t**2 + 2*t. Let c(x) = 1401*x**3 - 51*x**2 - 51*x. Determine 6*c(v) + 153*f(v).\nAnswer: -162*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(16) - sqrt(160)\/sqrt(10) - sqrt(16)))\/sqrt(8) + -4 + sqrt(360)\/sqrt(5).\nAnswer: -4 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 59004682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78711, 100086, 135711, 185586, 249711, 328086, 420711?\nAnswer: 527586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 4*v**2 + v - 4. Let k be y(4). Suppose 3*l + 0*l = k. Let j(x) = x + 11. Does 4 divide j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 divided by 4?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 14, i: 1}. Give prob of picking 1 i and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1224\nAnswer: -367.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11798091091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 20. Let g be k(-11). Let s(j) = -g*j**2 - 27*j + 27*j + j**2. Let z(b) = -2*b. What is s(z(l))?\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10751 - 10751 + 11*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/3*(-48)\/20*-28. Calculate the greatest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 - -154. Let i = -0.5 + 3.5. Which is the closest to m? (a) i (b) -1\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8284 and 20?\nAnswer: 41420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 7)*(-2 + 2 - 2)*(4*r + 2*r + 2*r).\nAnswer: -128*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -116*v - 7. Let b be q(5). Let c = 2251 - 3599. Let m = b - c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3181307172 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 3*n**3\/2 + 2*n + 3. Let q(a) = 36*a**2. Give v(q(c)).\nAnswer: 324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102303031 (base 7) to base 13.\nAnswer: 133b616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/91*(-3)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 3*x + 0*x + (1 - x - 1)*(-1 + 0 + 3) - 2*x - 3 - 1 + 3 + (6 - 2 - 3)*(-5*x + x + 2*x) + (-2 - 6 + 19)*(4*x - 2*x + 0*x).\nAnswer: 15*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 501195523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 117?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.2595 + -0.1095. What is z rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 698, 2689, 6008, 10655?\n\"Answer: 664*o**2 - o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*m + 63*m + 7*x - 5*x + 11, -m = x - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-379314343)\/(-528) + 2\/(-3). Let o = h - 718389. Let y = o + -80\/11. What is the common denominator of y and 19\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1. Let q = -71 + 162. Let x = q + -90. Let l(z) = -2*z**2 - 3. Give x*l(y) - 3*r(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.089, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -454992 at most -453780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-2)\/(-2) - 1335\/(-1513). Which is smaller: -14\/55 or b?\nAnswer: -14\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 8*h - 111 = -7*h - 4*r, -136*r = -2*h + 182 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (7 - 20)) + (5 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 206*c**3 - 18*c**2 + 11*c - 8. Let d be i(10). Is d\/21*9\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 - -1) - (12 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -49. Suppose -4*h = f*j - 204 - 22, -2*h - 272 = -4*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-3))\/((-31)\/465). Solve -23*l = -18 - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1596*s - 3255*s + 1615*s + 1496 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlll when four letters picked without replacement from lllllllnlnl?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + -2*sqrt(132)))\/sqrt(12) - ((sqrt(99) + sqrt(99)*-1)\/sqrt(9))**2.\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 358, 353, 348, 343, 338?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -637, -1269, -1901, -2533, -3165?\n\"Answer: -632*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:43 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1032 and 1031 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*1*25\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1471181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55152 is divided by 189?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5605 and 25.\nAnswer: 28025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 12:52 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 12:02 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -2\/3, -2\/81, -2\/9, 6172?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -3*k - 87, -3*k = 11*n + 47 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 300.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 16*t + 96 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 8. Suppose 0 = -r*s - 23 - 5. Does 9 divide (-136)\/(-14) - 4\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*h = -225*h - 13 + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000000100000 (base 2) to base 14.\nAnswer: 1858c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313757080?\nAnswer: 2, 5, 7, 13, 86197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303313 + -102?\nAnswer: -310021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*y - 915 = -178 + 73 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -2) + -2 + (1224 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 6816\nAnswer: 4089.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 2669 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4605110 (base 8) to base 3\nAnswer: 2100101200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -30*120\/54 - 2\/6. Let p = r - -142. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 129. Are -3\/2 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -10.3. Let d = -0.8 + j. What is the nearest to 1 in 1\/9, 3, d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 10:41 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 + 6*n + 14. Let p(c) = -29 - 233*c**2 + 455*c**2 - 13*c - 233*c**2. Calculate 13*i(h) + 6*p(h).\nAnswer: -h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 8*v - 7*v. Suppose 0 = -4*w + 3*p + 270, -v = -4*w - 3*p + 2*p. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -394a5d (base 14) to base 6.\nAnswer: -110134415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.18133 * -1.369\nAnswer: -0.24824077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a day?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j + 4*w, -5*j = -3*w - 14 - 0. Suppose 2*s + 5 = -j*t + 13, 3*s + 8 = -t. Solve m = t*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -402.5427 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**2 - 32*h - h**3 - 7*h**2 - 41 - 14*h**2 + 2*h**2 - 29*h. What is the units digit of c(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7634 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-28)\/(-8))\/(-1))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + -1 - (-22 - -24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 2*v**3 + 0*v**2)*(-7*v**2 - 10*v**2 + 13*v**2) + v**5 + v**5 - 4*v**5.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4694*p - 2353*p = 2398*p - 3648 for p.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 31*b - 210.\nAnswer: -(b + 10)*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -3\/4, 2.66?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t - 123 = -335. Solve 3*u + 31 = -t*x, 5*u - 4 = 3*x - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6586327889 to the power of 1\/2, to the nearest integer?\nAnswer: 81156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 23*l - 281 = -1055 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1030231311?\nAnswer: -1030231311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 49*b + 125. Let k(q) = 23*q - 62. Let r = 314 - 316. Let m(v) = r*f(v) - 5*k(v). Find the first derivative of m(o) wrt o.\nAnswer: 4*o - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20789a (base 12) in base 15?\nAnswer: -a163a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -25*k + 4. Suppose 0 = p - 3*q, 5*p + 8 = p + 4*q. Is m(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.82 - 54.781. Let d = j - 0.039. Let w = d - -4. Which is the nearest to w? (a) -0.04 (b) -2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5 - 0) + 0 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 1.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -21, 2, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 637 - 627. Calculate the common denominator of -69\/14 and -1 - h\/(-14) - (-8604)\/15120.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-64)\/(-28) + (-4)\/(-84)*-6. Factor 1\/4*v + 0 - 1\/2*v**a + 1\/4*v**3.\nAnswer: v*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-168)\/20*((-500)\/(-35))\/(-10). Let c(m) = m - 9. What is c(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 64*s + 59*s - 31 = 0, -29 = 3*u + 4*s. What is the closest to u in -2, -35, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 76\/3. What is the closest to 5 in -3, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010.503l to millilitres.\nAnswer: 2010503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 593513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 86, 202, 364, 572, 826, 1126?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 6*t + 26, 2*d + 188*t = 183*t - 24. Let j(l) = 2*l**2 - 3. Let y = 0 - 3. Let z(q) = -q**2 + 2. Give d*j(a) + y*z(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3037.\nAnswer: 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 10. Let a(y) = 2*y + 13. Let s(z) = 2*a(z) - 3*g(z). Determine s(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71542?\nAnswer: 2, 35771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 8092 + 28552 = 0. Let a = w + 2929. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + 4*s. Let r(a) = -a**2 + 7*a - 5. Let y be r(7). What are the prime factors of b(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (40\/(-25) + 1)\/(13\/(-1578655)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24536 + 25681. Which is greater: -3\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96\/(-3 + 4)*(-2)\/(-4) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**5\/40 + s**4\/6 - 2*s**3\/3 - 4. Let l(o) be the third derivative of r(o). Does 11 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-41\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 26705.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 56\/20 + -4. Which is the third biggest value? (a) 0.4 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20838, -20836, -20834, -20832, -20830?\n\"Answer: 2*p - 20840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgaggggcgggaegecggg. Give prob of picking 2 g.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99208 (base 10) to base 4.\nAnswer: -120032020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56281 + -36788. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnoo when four letters picked without replacement from {n: 3, o: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let d(t) be the first derivative of t**3 + 7*t**2\/2 + 122. Let b(s) = -2*s**2 - 3*s. Let w(c) = 7*b(c) + 3*d(c). Determine k(w(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-2\/7)))*m*m)**(2\/149)\/(m**(-3)*(m\/((m**(-4)\/m)\/m*m))\/m) assuming m is positive.\nAnswer: m**(-2048\/1043)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*u + 10*u + 1714, 2*h - 684 = 2*u. Let a = u + 342. Is a greater than 4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/20*-2)\/(14\/448). What is the biggest value in u, -2\/39, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/144 and 31\/320.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(160\/12)\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 194944082 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1\/5 (c) -5 (d) -5\/3 (e) -0.1959\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -9. Let o be a\/18 + (-1404002)\/(-9). What is o rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15035752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u**3 - 8*u**2 - 14*u**3 - 184*u + 186*u in the form g*u**3 + m + l*u + y*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 470741 + 353477. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291747967.\nAnswer: 7, 97, 429673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -71*j**2 - 7*j + 7. Let y be i(1). What is the smallest common multiple of 5\/30 - y\/6 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 13 - 7. Let k = -7 - u. Suppose -3*n + 4*c = -10, -k*n + 4*c - 3*c = -7. Solve 3*b = -n*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3371 divided by -34.\nAnswer: 3371\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + 2*4*(sqrt(1377) + 0 + sqrt(1377))))**2 + -3.\nAnswer: -36000*sqrt(17) + 8813422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493 (base 15) to base 5.\nAnswer: 13123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1 - -2)\/1. Suppose -2*t - 36800 = s*t. Round t to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*n + c + 6, 0 = 4*n + 4*c. Let a(o) = -2*o - 6. Let z be a(n). Let j(l) = -l**2 + 5*l - 4. Let f be j(3). Are z and f unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635932 is divided by 1429.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + -3 + -2 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 4*b**2 - 3*b + 4. Let r(w) = w**2 + 2*w - 20. Let z be r(-6). Determine q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -15 - -5 - 4\/(-1). Let a = u - -6. Suppose a = x + 3*x. Solve 0 = -x*w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -0.26, 32122\/5 in ascending order.\nAnswer: -0.26, 0, 2, 32122\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65924.\nAnswer: 2, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 15 = 2*g - 34, 1408*p = 1403*p - 3*g + 75 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmjfmmsjfmmjmsxfj. Give prob of sequence fsfj.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*v = 4*l - 9240, -2*v = -5*l + 46200. Suppose 4*w + l = 1800. What is w rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, 4 in decreasing order.\nAnswer: 4, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 63 = 24. Suppose -51 = -2*j - p. Sort j, -1, 2, -4 in decreasing order.\nAnswer: j, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from qgggggggggggq.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 838862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116 + 126. Let d(i) = 3*i**3 + i**2 + 2*i. Let z be d(2). Suppose z = h*v - 9*v. Solve -8*n = -3*n + 20, 4*p = 3*n + v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -18. Let w be ((-8)\/(-3) - y\/9) + 1. Suppose 3 + 2 = -o, w*j + 3*o = 459. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k**3 - 1534*k**2 + 95244*k - 62816 = 0.\nAnswer: 2\/3, 104, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11712 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*q + 7, 325*v + 14 = 320*v - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6 - n**2 - 4 - n + 6*n + 4*n. Let x be b(8). What is the units digit of (6 - x)*(-2)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49137 - 30231. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02270767 rounded to three dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 1076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -47. Let a = c - 19. Suppose -120 = -18*r + a*r. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316189.\nAnswer: 7, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3884*s + 15532. Calculate w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 7:56 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-2)\/(-6)). Let y be (-2)\/(-6) + (-15)\/(-9). Let z(x) = -7*x + y - 3 + 2. Give z(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1507.41752 + 1989.4247. Let f = 0.526 + 481.474. Let t = f - o. Round t to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 = 2*g, -9*b = -5*b + g + 8. Let i(z) = -25*z**2 + z. Give i(b).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(75)\/sqrt(5))\/sqrt(5) + -2) + -3)**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.06. Let t = g + 0.14. What is the biggest value in t, 2\/11, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let s = z + 0. List the prime factors of ((-9)\/15)\/(s\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 295795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73500, -294157, -661904, -1176729, -1838620, -2647565?\n\"Answer: 2*q**3 - 73557*q**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 7 + 5 + 0 + 2*v + v**2 + 5*v**3 in the form l*v**3 + d + s*v**2 + j*v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 0, 7*j - 4*p - 2 = 4*j. Solve -j*d = -6*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 15*k - 14*k. Let l(i) = -7*i + 94. Let m be l(25). Let b = k + m. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - l + 5. Suppose 0*u - 28 = -7*u. What is s(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 8*n - 8. Let h(p) = 2 - 2 + 4 - 2*p**2 - 2. Let r be h(-2). Let c be l(r). Solve 5*a - 4*a + 8 = -u, c*u - 5*a - 13 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.4. Let c = b + -1. Suppose u - 4*j = -7*j - 1, 0 = 4*u - 2*j + 4. What is the smallest value in -2\/9, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7 - 4. Let c = -422430.071 - -422077. Let d = 353 + c. What is the biggest value in d, f, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -6. What are the prime factors of -2 - -2 - 2 - a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105741023?\nAnswer: 19, 47, 118411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3676*z**3 - 10*z + 28 wrt z?\nAnswer: 22056*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1497*f**2 - 4*f + 4. Let w(n) = -1690115*n**2 + 4515*n - 4515. Calculate -4515*p(i) - 4*w(i).\nAnswer: 1505*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0 + 3 + 8*a**2 + 4*a**3 + 7 - 2. Let l(n) = n**3 + n**2 + 1. Give f(t) - 8*l(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o - 2. Suppose -3*h - z + 2*z - 10 = 0, -4*h + 12 = 5*z. Determine g(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4694, -4693, -4692, -4691, -4690, -4689?\n\"Answer: q - 4695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -24\/3919?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179456*w**3 - 89679*w**3 - 89763*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69274797.\nAnswer: 3, 23091599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4 - 2 - 4*f - 3 + 14. Let g be c(0). Let s be (24\/40)\/((-1)\/(-15)). Solve -s - 1 = -g*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - 1021130333013?\nAnswer: -1021130332333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 82 = -s - 84, 2*t + 2*s + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23106653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*b**2 + 28*b**2 - 27*b**2 to q*b**2 + c + j*b and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8392474, 16784946, 25177418?\nAnswer: 33569890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.4. Let t = -28 + 27.8. Let i = t - f. Sort -4, i, 0.3 in descending order.\nAnswer: 0.3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in -0.1117, -2\/11, 0.1, 0.06?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427014 is divided by 18553.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 1, 1\/421, 2\/5?\nAnswer: 1\/421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -2*a**3 - 349. Let f(d) = -d**2 + 6*d + 10. Let w be f(7). Let g(j) = j + w*j - j - j. Give l(g(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*j**2 - 25*j**2 - 4 - 8*j**2 + 12*j**2.\nAnswer: 6*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = 4*m - 5*t, 2*m = -3*t + 20. Suppose -w - 4*c + 22 = 0, -m*w + c = -3*c + 12. Suppose -141 = -w*n + 529. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 - 656*b + 1328 = 0. Calculate b.\nAnswer: -166, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 526879 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 7262 and 136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 26 (c) -0.084 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 8. Suppose b*r + 5*s = 22, -3*r + 4*s - 2 = -r. Suppose -296 + 101 = -r*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000050206 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 523*z. Let h(v) = -529*v. Give 4*h(q) + 3*y(q).\nAnswer: -547*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 535 = -15*k. Let u = -104 + k. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/49348 and -17\/9191?\nAnswer: 34889036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 105913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, i: 7}. What is prob of picking 2 i and 2 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*t**3 + 30*t**2 + 3*t - 22209 wrt t?\nAnswer: -24*t**2 + 60*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q - 7. What is the units digit of i(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 3*a. Suppose 6 + 19 = -5*n. Let k be p(n). Solve -l + k = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 7. Suppose q = -4*d + 12. Suppose k + w - 359 = -112, -d*k = 4*w - 486. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11021 (base 3) to base 5\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 845 and 35659?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 34 = -10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-11) + (-1825467207206)\/(-952820). Let z = -116866780\/61 + w. Let c = z + -18\/781. Calculate the common denominator of -40\/3 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from bwwbwwwb?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -91. Suppose 4*i - f = 2*u, -u = 4*i - 24 - 33. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d + 776 = -73*d. Are 96 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034780703 to seven dps.\nAnswer: 0.0003478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 56?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-3) - (-44)\/33. Suppose u + 3 = m. Suppose 34 = u*l - 2*l - 2*h, 22 = l - 5*h. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133.0112 + 133. Round l to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241.577 + -0.423. Is 0 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.078 - -37.078. Let i = 69 - n. Put 0, 0.5, i in descending order.\nAnswer: i, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33284 is divided by 310?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 + -553 + (2 - -18) + -13 + 1 + -55?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24003575.\nAnswer: 5, 17, 56479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y + 8*y - 4*y + 0*y - 7 + 3*y**2. Is j(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020810924 rounded to six dps?\nAnswer: -0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*m = -30, 0 = -2*c - m - 4*m + 29. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/10 and 123\/490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 - 64.00147. Round d to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o\/(o\/o**(-2))*o))\/o)\/o)\/(o*o**(-5)))\/(o**(-1\/4)\/(o\/o**(-1\/2))) assuming o is positive.\nAnswer: o**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 - 25368*t - 710336\/7.\nAnswer: 2*(t - 88792)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16*30\/(-320)*4*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/(-247) - 12346\/26. Let a = -1891\/4 - j. Factor -a*m + 0 - 3\/2*m**2 - 1\/4*m**3.\nAnswer: -m*(m + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/480 and 95\/8.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 14*v**3\/3 - 4*v**2 + 4*v + 156. What is the second derivative of i(u) wrt u?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2916, 9768, 20582, 35352, 54072, 76736, 103338?\n\"Answer: -i**3 + 1987*i**2 + 898*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - 8.68882529943.\nAnswer: -8.57882529943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2 + 3*z. Let n(f) = 15*f**2 + 4*f. Let w = 22 + -17. Let t(b) = w*n(b) - 7*p(b). Find the second derivative of t(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 215\/19, 2, -2\/3, -0.1 in decreasing order.\nAnswer: 215\/19, 2, -0.1, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 c when three letters picked without replacement from {l: 1, y: 3, c: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/18 and 42\/4*(-45)\/(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15798 is divided by 1582?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73940\/3 or -24646?\nAnswer: -24646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1220 and -117\/6710.\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 5903 in decreasing order.\nAnswer: 5903, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 559845 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 4. Let w be v(0). Let a be (w\/2)\/(0 - -1). Solve -4 = a*y + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8658 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 9*x**2 + 20*x + 43. Let i be m(-11). What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1406 - 453464?\nAnswer: -452056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -28*z + 619*z**2 - 620*z**2 + 28*z. Let t(j) = 172*j**2. Give t(f(v)).\nAnswer: 172*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+964387\nAnswer: 964386.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -4*x**5\/5 + 44*x**3\/3 + 36*x**2 + 32*x - 397. What is w in g(w) = 0?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17285?\nAnswer: 5, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 20*h**2 - 24*h - 474. Let v be q(-20). Solve -3*y - 26*o - 14 = -25*o, 3*y = 3*o - v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/3 + 0 + -3. Let h be i - -4*2\/4. Solve j = -5*k + 1, h = -3*j + j - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2363*n**2 + 0*n + 0*n - 18160*n**2 + 0*n + 0*n.\nAnswer: -20523*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -941 = 46*u - 16627. What is the greatest common factor of u and 1488?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519631 is divided by 2445.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26366 (base 7) to base 15.\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62, 47, -2, -103, -274, -533?\n\"Answer: -3*k**3 + k**2 + 3*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4053947 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10141 = -4*i + 4*s + 10137, 81*s = -5*i - 263 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10876045061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, q: 8, e: 1, t: 2}. What is prob of sequence too?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 84?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -28*u + 10. Let q(w) = -9*w + 3. Let x(b) = -3*a(b) + 10*q(b). Calculate x(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55440 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 22.3?\nAnswer: 2.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/265661 or 1?\nAnswer: 14\/265661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -6. Suppose i*g + y - 23 = -4*y, -3*g = -4*y - 41. Calculate the remainder when 42 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33522.29 and 3?\nAnswer: -100566.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6. Let m be (-10)\/4*504\/(-45). Let r be 9\/(-21) - (-68)\/m. Which is the closest to o? (a) r (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 - 45*w**4 + 75*w**3 + 125*w**2.\nAnswer: 5*w**2*(w - 5)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13762140874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(((-3)\/102)\/1). Let a = -2 + i. What is the highest common divisor of 30 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16\/v**7)\/(v**(-6)\/v**(-16)) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9348836 divided by -2.\nAnswer: 4674418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 4*i - 5. Let m(q) = 3*q**3 + 6*q + 8. Suppose b - 7 = -2. Let w(p) = b*m(p) + 8*y(p). What is the second derivative of w(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3 - 2 - 5238\/(-485)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43320 = 43*a + 44352 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 171 (b) 371 (c) -170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*r, r + r + 5 = -5*x. Put r, -4, -1, -3 in decreasing order.\nAnswer: r, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*i + 78*i + 8. Let g be i\/(-1)*-7*16\/(-56). Sort g, -21, 4, 5 in ascending order.\nAnswer: -21, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -18, -1\/9, 1\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/10)\/((-18108)\/(-15090)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14423 + 0?\nAnswer: -14423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -210 - -104. Let o(r) = 85*r**3 - 847*r**2 - 31*r + 7. Let z be o(10). Put -2, d, z in decreasing order.\nAnswer: -2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) 1\/9 (c) -5\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5543 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 1800*w - 1805.\nAnswer: 5*(w - 1)*(w + 361)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + n. Let i be r(0). Solve c + 2 = -i*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(2\/7)))**(-4\/21)*r**(-4\/9)\/r**(-2\/9) assuming r is positive.\nAnswer: r**(-122\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 9*u - 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169\/3 - -1823\/33. Let p be (-7)\/(35\/20) + 4. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1127 and 31087.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a. Let o be (-5 + -1)*(-1 + -2). Let i = -14 + o. Suppose f + 3 = i*g + 5, 3*f = g + 6. Give n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105300 by -39.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 40345 (base 7) to base 5\nAnswer: 303114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + (-3 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1064 - 507. Let j(w) = w**3 + 5*w**2 - 6*w + 2. Let f be j(-6). Suppose -f*q + x = -q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/3 - 163780*z\/3 - 109188 = 0. Calculate z.\nAnswer: -2, 163782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07518, -30, -3, 0.\nAnswer: -30, -3, -0.07518, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 7 + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 1. Let y be n(2). Let w = 1 + y. Let i(h) be the second derivative of -h**4\/6 + h**3\/3 - h**2 + 2*h. What is i(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 3*p - 3*p)*(-p**3 - 1 + 1) + ((2*p**2 - 1 + 1)*(-2*p + 4*p - p) + 5*p**3 + p**3 - 4*p**3 + p**3 + 0*p**3 + 0*p**3)*(6*p**2 - p**2 - 3*p**2).\nAnswer: 11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 0*s + 51 - 27 + 2*s + 2*s**4 - s**3 - s**2 in the form p + n*s**2 + l*s**4 + j*s + k*s**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(275)*-3 + sqrt(275))*6 - ((sqrt(396) - (sqrt(396) + 1*sqrt(396) + 1)) + -1)**2.\nAnswer: -405 - 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273331719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + 60. Let w = d - 98. Sort 59, w, 3\/7.\nAnswer: 3\/7, w, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3373806713 and 327.\nAnswer: 3373807040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let f be (18\/(-12))\/(99\/12). Which is the second smallest value? (a) -1 (b) t (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 10*t**2 - 28*t - 21. Let s be o(-6). Solve -5*f = -7*y + 3*y + 2, 3*f = s*y - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 9*x**5\/20 + 1020*x**2. Let d(y) = -51*y**2. What is r(d(c))?\nAnswer: 70227*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 14*p - 13. Suppose -k - 10*k + 55 = 0. What is the least common multiple of 7 and z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1860, -1861, -1862, -1863?\n\"Answer: -g - 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 - 9*u + 2. Let p(m) = m - 1. Calculate -c(g) - 5*p(g).\nAnswer: -2*g**2 + 4*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*r*r)**(-2\/67)\/(r*r**(2\/3)*r)**(-36) assuming r is positive.\nAnswer: r**(19280\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - -65. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1399 = 4*h + 561. Let l = -470 - h. Let o = 167 - 87. What is the highest common divisor of l and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 226 - 187497425947.\nAnswer: -187497425721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppgpppxppgpgg. Give prob of picking 3 p and 1 g.\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 0, 4*p - 1030 = -p - 4*h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**3 - 3093825*c**2 - 27844020*c = 0.\nAnswer: -618756, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.72 or -938?\nAnswer: -3.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-24) - (-7)\/(-30). Which is the second smallest value? (a) -1 (b) 2.2 (c) i (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 - 79*v + 78 - 150 to l*v + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 286941 and -709.5.\nAnswer: 286231.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -434056 rounded to the nearest ten thousand?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 4. Let g be l(-2). Suppose o + g*o + 13 = -4*b, 3*b = 4*o + 34. Let d(p) = 2*p**3 + 8*p**2 + 9*p - p**3 + p + 1 - 3*p. Give d(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 8. Let m be d + 0 - (-31 - 12). Let v = -29 + m. Solve t - 2 - 5 = -5*q, 0 = t - 4*q + v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373640*p**3 - 7235*p**2 + 15 wrt p?\nAnswer: -2241840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 53. Let p be g(12). Suppose -c = 2*y - 43, 0*c + 96 = 3*c - p*y. Let s = 4 + c. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 8, -2\/9, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0, 0.3, 0.4, 1\/7, -22.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 3:56 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2502555 (base 6) to base 2\nAnswer: -100000011011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6*v**3 - 3 + 1120*v**2 + 4*v - 1119*v**2 - 2*v to the form l*v**2 + c + q*v**3 + b*v and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6787*h**4 - h**2 - 262107.\nAnswer: 27148*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2. Let c be -13 + (4 - -5) - 0. Let v(r) = 129*r**2 - 8. Let t(f) = 260*f**2 - 18. Let s(a) = c*t(a) + 9*v(a). Determine g(s(p)).\nAnswer: -29282*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 4 (c) 605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -71597336 divided by 1\nAnswer: -71597336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*f**2 + 1628*f**2 + 3058*f**2 + 1655*f**2 - 1322*f**2.\nAnswer: 5864*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 66. Let l(q) = -2*q - 4. Let n be l(-4). List the prime factors of o\/n - 3\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-1*(sqrt(931) + -1))**2 + sqrt(931)*-1*-3)*3*6)*5.\nAnswer: 630*sqrt(19) + 83865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15303 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 39*y - 30. Calculate z(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 839161 to the power of 1\/2, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = -3*g + 2*u - 257, 3*g + 13 = -5*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 2*i**5\/5 - 151*i**4\/3 - 1489*i**3\/6 - 7*i + 336. Find the second derivative of o(g) wrt g.\nAnswer: 48*g - 1208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16513.\nAnswer: 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 975257.7 kilometers?\nAnswer: 975257700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61860 + 101565. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -436193 or -4.1?\nAnswer: -436193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*3\/((-6)\/(-164)). Suppose t = -4*d + z, -5*d + 7*t - 3*t = -92. Solve 4*p - d = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151640 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((2 + -1)\/((-45)\/5)). What is the units digit of ((-261)\/(-4))\/(g\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 339\/209390 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 14\/(-3))\/((-1156)\/2601).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.05, -0.2, 3, -0.3, -17, -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 696987.9 tonnes in micrograms?\nAnswer: 696987900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1949072, 1949075, 1949078?\nAnswer: 1949081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 16*d + 73. Let m(x) = -x**2 - 17*x - 73. Let v(p) = -4*g(p) - 5*m(p). Let q be v(-17). Calculate the highest common factor of 135 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 41*v**2 - 405*v - 45. Determine u(-16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 490000 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2115\/60)\/((-6)\/(-104)).\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-6 + sqrt(76) + 3 + -5)**2.\nAnswer: 64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 147\/106 + 6\/53. Which is the nearest to 7? (a) -4\/5 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 399\/(-228). Suppose 285 = 3*v + 12*z - 7*z, j*v - 195 = -5*z. Calculate the smallest common multiple of 18 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -0.3 (c) 0.1 (d) 0.112 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 128.3188ml?\nAnswer: 0.1283188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -167.60902504 to one decimal place.\nAnswer: -167.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 6*t**2 - 8*t - 1. Let q be l(-7). Let k(x) = -x + 1. Let s(d) = -2*d**3 - 8*d**2 - 4*d - 10. Let h(c) = q*k(c) + s(c). Solve h(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*y - 10*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*n*r**3 + 769*n - 15*r**4 wrt r?\nAnswer: 21*n*r**2 - 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7748675 = -286*o - 189*o. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001813799596 to 6 decimal places.\nAnswer: 0.001814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 988 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*p**2 + 13*p**2 + 569 + 3*p**3 + 31*p**2 + 8*p**2 with respect to p.\nAnswer: 9*p**2 + 58*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*z + 8, -2*z + z - 10 = 5*x. Let u be (-11)\/(-4) - x\/8. Let f be (4\/(-10))\/((-12)\/(-15)). Which is the nearest to 2\/7? (a) -1\/3 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/39)*((-1504)\/(-987))\/(16\/28)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019068 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9184 divided by 16\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 339*u + 4. Let x(c) = -170*c - 2. Give -3*w(z) - 5*x(z).\nAnswer: -167*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 912, 920, 940, 978, 1040, 1132, 1260, 1430?\n\"Answer: o**3 + o + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:01 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -64\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 199*x. Let f(p) = -90*p - 3. Determine f(w(q)).\nAnswer: -17910*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2353 + 44*a**2 + 37*a - 2353. Let m(o) = -o**2 - o. Let i(r) = -4*m(r) + n(r). Find the second derivative of i(q) wrt q.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 7*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4 - 49502792*s**3 + 816842122097490*s**2 - 4492884620313304854208*s - 4492885437155476454491 = 0.\nAnswer: -1, 16500931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299 + 151. Let u = x + 143. Let d be -4 - 1 - (2 + -3). Which is the closest to 2\/7? (a) u (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**4\/24 - 7*z**3\/6 - 4*z**2. Calculate n(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 41*h - 18. List the prime factors of b(5).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -16.1. Put b, 4, -4 in decreasing order.\nAnswer: 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 6. What is x(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 6*i**2 - 5*i - 7. Let n(t) = -97*t + 1. Let g be n(-1). Let d = g + -93. Give p(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 12*o + 48*o - 55328. Is 53 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 177 and 517.41?\nAnswer: 340.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 + -265. Factor -2*b + w - 3\/2*b**2.\nAnswer: -(b + 2)*(3*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 3*v**3 - 3*v**3)*(-1587*v - 217 + 367 - 146).\nAnswer: -3174*v**4 + 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 17, x: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**3 - 9*m - 34 - 2*m**3 + 15*m**3.\nAnswer: -6*m**3 - 9*m - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/((-1)\/6). Suppose -4*o = -u - 0. Let r = -6 - -4. Sort -1, o, r in decreasing order.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -65. Suppose 0*o = -w + 2*o + a, 5*o = -w + 1. Find the third derivative of w*m**5 - 2*m**3 + 2*m**3 - 10*m**2 - 19*m**5 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.35 from 7877.\nAnswer: 7876.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**7\/210 - b**3\/3 + 3*b**2\/2 + 2. Let q(o) be the second derivative of k(o). Differentiate q(m) wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/10)\/((-516)\/(-1935)). What is the closest to -0.1 in 11, 0.5, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/387120500 and 59\/1000?\nAnswer: 774241000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23176117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(13\/(-3) + 8 + -4). Let d(c) = -c**3 + 0*c - c - 1 + c**2 + 5. Calculate d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - -3. Let h(r) = r**3 - 6*r**2 + 2*r + 3. Let u be h(4). Let k = 35 + u. Calculate the remainder when x is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168*b**2 + 13610 - 13610)*(3 + 3 - 4)*(-2*b**2 - b**2 + 5*b**2).\nAnswer: 672*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -5*t, -3*t + 5*t + 4 = -4*g. Solve t*z + z = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1960)*-2)\/(sqrt(72)*-1 - sqrt(72)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 78*u**2 - 3*u. Let s be r(-1). Let z = 81 - s. Let z - 1\/2*l - l**3 + 3\/2*l**5 - 2*l**2 + 2*l**4 = 0. What is l?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x - 7. What is s(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 2, -8, -4.\nAnswer: -14, -8, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:22 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o**2 + 343*o - 1912. Let l be k(7). Let g(a) = -a + 9. Let r(j) = -j + 1. Suppose 7*v = 3*v + 12. Calculate l*g(i) + v*r(i).\nAnswer: -2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4))**(14\/3)\/((s**(1\/7)\/s)\/s**13) assuming s is positive.\nAnswer: s**(631\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 5*f + 2*f)*(-3*f**2 + 0*f**2 + f**2) + 12*f**3 - 30*f**3 - 17*f**3.\nAnswer: -45*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1.1, 125?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 5*y**2 - y - 12. What is the remainder when 53 is divided by x(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from {j: 3, v: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-1) - (-1633)\/(-284) - 0. Which is the fifth biggest value? (a) g (b) -4 (c) -0.15 (d) 4 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441738 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 - 8*p - 5 + 4*p**3 + 14 + 9*p**2. Let v be t(8). Solve 0 = 6*q + 15 + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5465 + -5028. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42288531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 > 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -338 (base 10) to base 12\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 2. Let g(p) = 3*p**2 + 2. Let r(y) = -2*g(y) - 3*v(y). What are the prime factors of r(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32513\/4 + 8128. Which is the third smallest value? (a) 2 (b) q (c) 2\/9 (d) 0 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r + 7. Let p(z) = 9*z + 7. Let c(a) = 5*p(a) - 4*q(a). Does 21 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/420*2530\/(-11).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -23. Suppose w + 2*l - 6 = -l, -5*w + 12 = -z*l. Differentiate -1 - 3 - 4 + 8*f**w + 2*f**3 wrt f.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 204337\/16 - 12767. What is the common denominator of -151\/24 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6 - -1.6. Let l = 2 + -1.8. Let o = -4\/125 - -286\/1125. Put c, l, o in descending order.\nAnswer: o, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 315021544.5 + -162291.\nAnswer: 314859253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 6*f = -50. Let t(b) = b + 3. Let a be t(f). Let o(u) = -2*u**3 - u + u - 14*u**2 + a*u**2. Let p(g) = g**3 + g**2. Determine -o(s) - p(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 839681, 839759, 839837, 839915?\nAnswer: 839993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*v - 6 = 4*v, 4 = -g - v. What is the hundreds digit of (-732 + (-2)\/1)*g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/36 and -47\/477.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7680, 7683, 7688, 7695, 7704, 7715?\nAnswer: 7728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven fifths of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -0.3, 2, -6.8, 2.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -340\/13 - -1013\/78. Let p = 27\/2 + r. Let w = -6.4 + 1.4. What is the smallest value in p, w, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 85. Suppose -60 = -b*u + 20*u. Suppose a - u = -6. Solve -a*i = -7*i + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/9)\/((-26)\/39). Solve o + p + 1 = -0*p, 3*o = 4*p + d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*g + 25 = 0, 3*q - g + 6*g - 55 = 0. What is the remainder when q is divided by (24\/20)\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 3*u + 2*x - 230, -x = -5*u + 379. Let d = u - 62. Suppose -3*y + d = 3*i + 2*y, 2*i - y = 5. Solve -i*a = -z - 7, -3*z - 17 = -a - 4*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23130400 (base 5) in base 9?\nAnswer: -346561","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-30))\/((-32)\/(-480)). Let r(b) = 6*b - 2. Calculate r(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 24*d - 1. Let v be f(-1). Let y = v + 49. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4*r - 1247*f**3 + 3*f*r + 23*r - 1408 with respect to f.\nAnswer: -4*f**3*r - 3741*f**2 + 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89997 is divided by 301?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*l + 10 = 3*s, -43 = 5*s - 4*l. Let d be (-237)\/(-21) - (-2)\/s. What is the second derivative of 3*h**3 + h + d*h**3 - 16*h**3 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.23 - 1.07. Let l = b - -7. What is the nearest to l in 4, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 34225*n + 4. Determine z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030626.79 rounded to the nearest 10000?\nAnswer: 2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and 118189526.92755.\nAnswer: 118189539.92755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 743 or 9197?\nAnswer: 743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -30. Suppose 3*n + w*n = -9. Is n smaller than -3\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 112*x - 1. Is l(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3433*w - 5*w**3 - 13 - 62*w**4 - w**3 - 6*w**2 + 60*w**4 + 3447*w + 3*w**2 in the form z*w**4 + n*w + q + h*w**3 + f*w**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*t**4*w**2 + 16817*t**4 - 17*t*w**2 + 9196*t + 1 wrt t.\nAnswer: 132*t**2*w**2 + 201804*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3*(sqrt(48) + 0) + sqrt(48)))**2 - ((-2 + sqrt(3))**2 + -4 + sqrt(3) + 3*sqrt(3) + -3).\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 17*j**2 + 14*j - 20. What is n(-18)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddedddddedeeedd. What is prob of sequence de?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-63)\/(-12) + 130\/52.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5 - 2724990*w**4 + 928194950014*w**3 + 928200399998*w**2 - 928194950016*w - 928197675008 = 0.\nAnswer: -1, 1, 681248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/118 and -24\/767.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 8*y**2 + 4. Let k be j(-8). Suppose 2*i - 13500009 = -5*f - i, -10799997 = -k*f + i. What is f rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtvt. What is prob of picking 2 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 0. Let w = 21.6 + -10.3. Let l = -11.6 + w. What is the nearest to 2\/5 in 4\/3, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1*p)**48*(p**2)**(1\/23) assuming p is positive.\nAnswer: p**(3314\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105604, 211166, 316728, 422290?\nAnswer: 527852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2645, 3459, 4477, 5801, 7533?\nAnswer: 9775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3849 and -111\/6407302.\nAnswer: 19221906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.7850581 to 3 dps.\nAnswer: -7.785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 12 = -3*d, -4482056 = -12*d - 3*o - 4482068 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440023302 (base 5) to base 8.\nAnswer: 7121336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*u + 2 = -261*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2\/(-1)*44\/44.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (1 - 0))*6. Let r be 3\/t + (-77)\/(-4). Suppose -3 - r = -2*u. Calculate the smallest common multiple of u and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -a - 1776. Suppose -3*z = -v - 133 + 27, 5*z = v + 180. What is the highest common divisor of z and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {d: 2, v: 10, m: 1, p: 1}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u - s + 3*s, 3*u = -4*s - 6. Let a(t) = 26*t + 12. Let c be a(-2). List the prime factors of (c\/(-2))\/(u\/2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51853629?\nAnswer: 3, 199, 86857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-651)\/28)\/((3588\/26)\/46).\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**3\/13 + 10*j**2\/13 + 2*j\/13 - 4\/13 = 0?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10)**(12\/13) assuming q is positive.\nAnswer: q**(120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5529?\nAnswer: 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18577285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/639 and (207756\/(-11502) - -5) + 13.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d**2 + 5*d + 5. Let y(m) be the first derivative of -8*m + 17\/3*m**3 + 3 - 4*m**2. Give -8*o(n) - 5*y(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644, -643, -642, -641, -640?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*u + 89, 2*j = 2*u + 5*j - 42. What is the remainder when u is divided by -4*(18\/(-4) - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2864 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3444, 13793, 31050, 55221, 86312?\n\"Answer: s**3 + 3448*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -15. Let r = 6 + h. Let q = 4 + r. Solve -b + q*o + 3 = 3*o, -2*b + 5*o - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5757 and 909.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12757360 divided by 418?\nAnswer: 30520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 49) + 5 + -4 + 9\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 16*w**2 + 14*w + 10. Let b be j(-15). Let l = 31 - b. List the prime factors of (-1 + -1 + -1)*(-34)\/l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/35)\/(-2)*(-10)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, 115, -89, 2 in increasing order.\nAnswer: -89, -7, -5, 2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-63)\/35)*2\/4.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.753208t in kilograms?\nAnswer: 5753.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 501397867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 x, 1 c, and 1 d when four letters picked without replacement from {d: 1, k: 2, u: 1, r: 1, x: 1, c: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiuo. Give prob of sequence uou.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, o: 6, e: 1, n: 3}. Give prob of sequence oueu.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4 + 28 = 0. Let q be -11 - (3 + (0 - 3)). Let f = x - q. Put -2, 0, f in decreasing order.\nAnswer: f, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*((-4)\/10 - 12\/(-10)). Suppose 5*b - 48 = y*v, -3*v = 5*b - 8*b + 30. Solve -3*s = 4*f + 14, -4*f - 10 = 5*s + b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**3\/3 + 914*h**2 - 210330*h + 13377150 = 0.\nAnswer: 135, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.019 - -0.84. Let p = -0.041 + v. Let u = -3.78 + p. What is the nearest to -1 in -0.3, u, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(228) + sqrt(228) + 1*sqrt(228)) + sqrt(228) - 5*(3*sqrt(228) - sqrt(228)))\/(-3*(sqrt(432) + (sqrt(432)*3 - sqrt(432)) + sqrt(432))*-3).\nAnswer: -5*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) + 75*(-216)\/2430 + (-1 - 27)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -289, -460, -649, -862?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = -3*f + 239. Let k = f - 129. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -98*t**3 + t**2 + 2*t + 1. Let s be k(-1). Let h be -5 + -1 + (-7 - (18 - 38)). Calculate the highest common divisor of h and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvwcvcvvclcclccwcw. What is prob of picking 1 w and 1 c?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 4:33 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756 divided by -126.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 2) + -447 + 469 + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - 4 - (13 - 1). Let w be 12\/j*(-4)\/3. Let c(s) = 5*s**3 - 3*s**2 - 3*s - 3. Let i(t) = 4*t**3 - 2*t**2 - 2*t - 2. Determine w*c(b) - 3*i(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -47\/2*c**2 - 150 + 142*c. Differentiate l(m) with respect to m.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -878, -1765, -2652, -3539, -4426, -5313?\nAnswer: -6200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93730.3 - 93730. Let q = 8 - 13. Let r be ((-4)\/(-10))\/((-2)\/3). What is the nearest to 0 in a, q, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28237973 - -49214\nAnswer: -28188759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**3\/6 + 8*a**2 + 22*a. Calculate the remainder when 35 is divided by r(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -10*i**2 - 2*i + 2. Let s(j) = -j**2 - 7*j + 73. Let t be s(6). Let w(x) = -21*x**2 - 4*x + 5. Calculate t*n(v) + 2*w(v).\nAnswer: 8*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3075*z**3 - 4*z**3 + 29701*z - 29701*z.\nAnswer: 3071*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 102740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*z + 109 = 91, -i - 2*z = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 8*t + 2. Let g be (26\/(-6))\/((-2)\/6) - 4. What is d(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4 + 772*d**3 - 5268*d**2 + 11196*d - 6696 = 0 for d.\nAnswer: 1, 3, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*((-2)\/(-4) + 0). Suppose 0 = z*b + 2*d - 4*d - 6, 5*b - 6 = 2*d. Let j = -3 + 2.9. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 2, t: 5}. What is prob of picking 2 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*f**2*n - 21*f**2*w**2 - 2*f**2*w - 34534*f**2 + 5*f*n*w**2 - f*n*w + 652*n*w**2 + 12*n*w + 4*w**2 + 2*w wrt f?\nAnswer: -88*n - 42*w**2 - 4*w - 69068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 1. Let p be s(3). Suppose -18 = -t + 3*t - 2*j, 3*j + p = -4*t. Let n(u) = -u**2 + 2*u + 2. Let v be n(2). Put -12, v, t in increasing order.\nAnswer: -12, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -31*p**2 - 12*p + 5. Let w(q) = -8*q**2 - 3*q + 1. Give -9*w(n) + 2*x(n).\nAnswer: 10*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -12, 4*v = w - 5*w + 28. Let q(i) = 3*i + v*i - 3*i**3 + i**3 - 6*i + 2. Let x be q(-2). Solve 2*n + 2*s + 2 = 0, 5*n - 2*s = -0 + x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-16))\/(72\/(-32)))\/((-6)\/8).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64395 - 131479\/2. Let w(q) = -q**3 - 8*q**2 - 43*q - 105. Let s be w(-13). Let k = a + s. What is the common denominator of 1\/9 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4))\/((-9)\/(-12)). Suppose 3*x + 2*d - 21 = 0, 5*x - i*d = 46 + 5. Determine b, given that -9*b - 3*b**2 - 5 - x*b - 22 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 749 = 5*f, h - 3*f + 995 = 5*h. Suppose 63*z + 31*z - 7968 = -z - z. What is the remainder when h is divided by z?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.8. Let m = i - 0. Suppose -32 = -163*n + 155*n. What is the second biggest value in 1, m, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 8237160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 84 = 5*r. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-203)\/203*2*(-21)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5270 + 31621\/6. Let j(f) be the first derivative of 0*f**3 - 1\/15*f**5 + 0*f + 0*f**2 + 9 + 1\/6*f**4 - k*f**6. Factor j(l).\nAnswer: -l**3*(l + 1)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20553)\/429 - 1\/11. Suppose -2*s + 38 = -92. Let a = q + s. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - 12. Let b = -16 - h. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (193 - 14*j - 193)*(82*j**2 - 3*j**3 - 82*j**2) + (4*j**4 + j**4 - 6*j**4)*(2 - 3 - 1) - 2*j**4 + j**4 + 2*j**4.\nAnswer: 45*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-99)\/66)\/((-6)\/(-4)). Let w be (-4 + 32)*j\/(8\/(-10)). Suppose -38*r + 30 = -36*r. What is the highest common divisor of w and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119\/119 + 10\/6\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/21 - (-85)\/35. Suppose -j + o*j - 2 = 0. Find the third derivative of -4*s**2 + 2*s**2 - 3*s**j - 10*s**4 wrt s.\nAnswer: -240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/39 and -32\/5?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*u**5 - 8*u**5 + 12*u**5 + (-6*u**4 + 4*u**4 - 2*u**4)*(-1 - 2*u + 1).\nAnswer: 23*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774280?\nAnswer: 2, 5, 13, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-111)\/((-209235)\/(-406)).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + (0 + sqrt(175) + sqrt(175))**2.\nAnswer: sqrt(7) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 20*h - 56. Let z(x) = 252*x**2 - 2*x - 15. Is z(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 5253?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.565 and 13102020184.\nAnswer: 13102020182.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0406 rounded to 2 dps?\nAnswer: -7.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 172904594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4228*j + 4138. Calculate p(-1).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 20 = -8. Solve -2*y + f*y = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8 + 2. Suppose 3*r - 3 = o*k, -5*r + 1 + 4 = 4*k. Solve 0 = -3*x - k*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -72.\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -184, -23, -1, 66, -49, -4 in increasing order.\nAnswer: -184, -49, -23, -4, -1, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/1 - (-60)\/12) + 7. Suppose 41 - f = -3*s. List the prime factors of (56*s\/(-15))\/((-2)\/(-6)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0 (c) -0.13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**2 + 64*p - 212. Let x be w(3). Let b be 2\/6 + (-22)\/(-6). Suppose b*u + 708 = x*u. What is the remainder when u is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 6*n**2 - 23*n + 60. Calculate d(6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-40)\/(-2) - (-4 - -3) is divided by 1*(1 - -14) - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*i + 12, 3*c - 3 = -2*i - 5. Suppose 3*y + t - i + 1 = 0, -2*y = 4*t + 16. Suppose 97 = u + k + 3*k, 194 = y*u - k. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6100763ns?\nAnswer: 0.0000000006100763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5145 is divided by 91.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1200*q**6 + 2286*q**2?\nAnswer: 144000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957 is divided by 2443.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 93*1 + (-2310)\/210.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 4*h + 4, -68*h = n - 65*h + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 10, 0 = -3*f + 5*n - 80 + 105 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/1635 and 28\/135.\nAnswer: 14715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**2 + 14*q**2 - 154*q**3 + 58*q**2 - 7*q**2 + 37*q**2.\nAnswer: -154*q**3 + 82*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63b4a (base 12) to base 13.\nAnswer: -47977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five thirds of a century?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812 and 580.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -888.7 - -889. Which is the closest to 0.3? (a) -2\/11 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 3*o + 6*a, -11*a - 147 = 1168*o - 1173*o + 8*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 7 = c + 5*h, 5*h - 65 = -5*c. Suppose v + 18 = s - 6*s, 5*v = -5*s - c. Suppose 3*t + v*o = 98, -79 = -4*t + 4*o + 25. Round t to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*o = 225. What is the remainder when 4\/6*o\/2 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -246*f**2 + 680*f + 72. Let q(d) = 33*d**2 - 97*d - 10. Calculate 2*i(x) + 15*q(x).\nAnswer: 3*x**2 - 95*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528\/2640*(-60)\/276.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699 a factor of 1648835558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 19*l - 23. Let f be r(14). Let m = f - -804. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100101001100010100010 (base 2) in base 11?\nAnswer: -8a79aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-two fifths of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 10 + 3 + 3*w**3 + 5*w**3 wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(((-2)\/1)\/(-4)). Let p(o) = o**2 - 5*o - 2. Let a be p(-1). Let t(x) = -a*x**2 - 1 - 13*x - 2 + 4*x + 5*x. Give t(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 556326291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**2 - 3*b**4 - 2 + 15*b - 10*b**2 + b**4 as k*b**3 + h*b**2 + g*b**4 + r + s*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312 + -312.138. Which is the third smallest value? (a) r (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018046 to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020604 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212341111 + 0?\nAnswer: -212341111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1002194577?\nAnswer: 3, 19, 5860787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 106028 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257*g**6*z - g**2*z - g - 66*z wrt g?\nAnswer: -30840*g**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, -20, -3, 4, 0, -197 in ascending order.\nAnswer: -197, -20, -5, -3, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2762)\/(-920) + -3)*(-4)\/4. Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(5\/4)*w)\/w*w*w))\/(w\/w**(3\/19)) assuming w is positive.\nAnswer: w**(-235\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3132 + -3132. Let q = -29 - -13. Let p = q - -15. Which is the nearest to l? (a) 0.2 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376857584567011 + 1?\nAnswer: 376857584567012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/8 + 4*a**2. Let q(f) = 42*f - 132*f + 41*f + 46*f. Let h(g) = g**2 - 6*g + 2. Let w be h(6). Calculate w*x(v) + 3*q(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**7*c*c))\/(c*c**(-33))*c*c\/(((c\/(c\/(c*c**(-14)\/c)))\/c*c)\/c*c)*c*c*c\/(c\/(c\/c**(-2\/53))*c) assuming c is positive.\nAnswer: c**(2175\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 15000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 14 + 5356*y - 1604*y - 10.\nAnswer: 3752*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 4*b**2 + 3. Let l be i(-4). Let a = -62 + 65. Solve -a*d - l = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 43364835 = 42*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + l + 122 = 121, -4*l = 5*f + 43 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-98))\/(-4*24\/672).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.60073 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 3, o: 1, c: 4, w: 2}. Give prob of sequence ox.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(((n\/n**(-1\/27))\/n)\/n*n))\/(n*n**25*n))\/(n**(-6\/13)\/n**(-8\/7)) assuming n is positive.\nAnswer: n**(-63190\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9.1. Let r = -4 - -2. Let h = 3 - 2.6. Which is the nearest to -1\/3? (a) r (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5 = 5*d, d = -2*k + 45 - 41 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34722*n**3 + 17321*n**3 + 17323*n**3.\nAnswer: -78*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/16)\/d)\/(d*d*d*(d*d**(-8))\/d)*d**5*d**(2\/7)\/d)**(-18))**(3\/11) assuming d is positive.\nAnswer: d**(-24867\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 c when three letters picked without replacement from {y: 9, c: 3}?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 171 - 167. Which is the nearest to n? (a) -4 (b) -0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -16*v**2 + 9*v - 38. What is t(3)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkmusrukmk. Give prob of picking 1 r, 2 k, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.09 - 0.09. Let i = -1.33 + 0.93. What is the smallest value in r, i, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -55*c**2. Let r(i) = 252*i + 5. Calculate r(d(j)).\nAnswer: -13860*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*16\/(-32)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46344 or -46345?\nAnswer: -46344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84664 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -119, 73, -86, -1 in decreasing order.\nAnswer: 73, 0, -1, -86, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d - 140. Let n be a(-28). Suppose n = 3*u + 5*r + 101, -6*u + u - 4*r - 151 = 0. Which is bigger: u or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 50 = 5023*t - 5020*t, 4*n + 4*t - 48 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117834 is divided by 1478.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 + (-172 - -83) + -16?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8031*o - 804493 = 372215 - 245112 for o.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 2, -10.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*k. Let x(v) = -k + 3*v - v**2 + 1 + 3. Give x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 25?\nAnswer: 67\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 382\/465 - 2\/93. Let w = 529.32 + -529.37. Which is the second biggest value? (a) w (b) o (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**2 + 0*s + 0 + 0*s**3 + 1\/24*s**4. Let g(p) be the first derivative of 2*p**3\/3 + 1. Give g(y(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {z: 3, b: 2, e: 3, d: 1, k: 3, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*z - 149*z - 745*z**3 - 1078*z**3.\nAnswer: -1823*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 3*j - 7. Let h = 2 + 3. Suppose 2*r = h*r + 6. Let n(w) = -2 + w - 1 + 0. What is r*s(l) + 5*n(l)?\nAnswer: 2*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 9*u**2 + 4*u + 10. Determine a(9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 0 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let u(i) = 2. Let s(a) = 4*l(a) - u(a). Let p(k) = 9*k - 5. Let x(z) = -3*p(z) + 7*s(z). Calculate x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/((-4)\/(-5100060)). Suppose -4*h + 229013 = 3*x + 908998, -5*h = -2*x + a. Round h to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.71 - 4.01. What is the closest to t in 8, 4, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 268748 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -75, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10 + x - 2*x + 2*x + 47 + 67*x**4 wrt x.\nAnswer: 268*x**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a, -17*k - 5*a = -15*k - 102594. Calculate the highest common divisor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 14 = -6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c + 3*c - 4*c)*(-5 - 7*c + 5)*(7*c**2 - c**2 + c**2) as v*c**3 + r*c**2 + l + d*c**4 + u*c and give d.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830 = 5*r + 5*g, 0 = 4*r - g - 0*g - 659. Let y = r - 142. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w - 71. Let q be p(-11). Let v(d) = -d**4 - d**3 - 2*d. Let u(k) = -5*k**4 + 10*k**3 + 10*k**2 + 5*k. Let g(f) = q*v(f) - u(f). Factor g(c).\nAnswer: 5*c*(c - 1)*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d + 37. Let j be n(5). Factor 0 + 1\/3*i**j - i.\nAnswer: i*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134018.\nAnswer: 2, 113, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250041 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipwypewwweeoeio. Give prob of sequence ewo.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88452, -88442, -88432, -88422, -88412, -88402?\n\"Answer: 10*u - 88462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205544466?\nAnswer: 2, 3, 263, 2031397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 4*c - 3. Let w(y) = 4*y**2 + 5*y + 4. Let x(g) = -3*t(g) - 2*w(g). Let k(f) = -f - 4. What is the remainder when k(-5) is divided by x(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (54\/(-459) + 298\/(-68)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2515, -5016, -7495, -9952, -12387, -14800, -17191?\nAnswer: -19560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-4)\/(-15))*4\/(-6). What is the second biggest value in i, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**2)**(-3\/28))**(-1\/11)\/(n**(2\/31)*n*n\/n**9)**(-10) assuming n is positive.\nAnswer: n**(-661735\/9548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -108919.\nAnswer: 23\/108919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10526798.\nAnswer: 2, 19, 277021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2731539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -23.9. Let t = -1 + r. What is the closest to 0.1 in -2, -3\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 7, x: 2, t: 1, s: 6}. What is prob of picking 2 r and 1 t?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -33\/7, 2\/7, -1.1, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 15 = 3*w - v, v + 25 = 5*w. Let a(l) = -4*l + 0*l + 4*l - w*l. Let h(f) = 2*f. Calculate a(h(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 361837 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 5*v + 7. Let t be m(2). Which is bigger: -20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 38*v**2. Calculate d(38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/4)\/(12720\/(-91584)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4892 to 2 dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 12*a + 12. Suppose -s + 6*s = 140. What is the remainder when 49 is divided by (3 + a)*s + -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q + 3*q + 5*q as m + x*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f - 34*f + 4 = 0. Let x be 1 + (6\/f - -1). Solve -w + 5 = 4*w, -5*g + x*w + 15 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8781 (base 14) to base 6.\nAnswer: -300301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1900) + sqrt(1900)*1))**2*3.\nAnswer: 820800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/7)*s*s)**(5\/3)*s**(-3)\/(s**(4\/3)*s) assuming s is positive.\nAnswer: s**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 658651331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 992 - 827. What are the prime factors of (-55)\/s*(-6180 - 0)?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15990 - 15980. Let z(k) = k + 1. Suppose -4*y = -7*y - 6. Let x(j) = 8*j + 5. What is l*z(g) + y*x(g)?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + g)*(-3*g**2 + 4*g**2 + 0*g**2) + (17*g - 35*g + 19*g)*(-4 + 2*g**2 + 4).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y - 2290 = -3440 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 971*s**2 + 133*s - 129210. What is o(971)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**3*g**4 - 2506*f**3*g**2 + 12278*f**3 wrt g.\nAnswer: 4*f**3*g**3 - 5012*f**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2)\/((-15)\/(-288)*4). Let f = 30 - 15. Suppose -2*y + 39 - f = 0. What is the highest common factor of k and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88809 (base 12) to base 15\nAnswer: -388d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - 22 = 0. What is the remainder when 42 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 0, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -108840 divided by -2\nAnswer: 54420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 886 - 556. Suppose g + r = 6*g. What is the highest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (27\/(-2))\/(108\/(-30672))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(864) - 2*(sqrt(864) + sqrt(864) + (sqrt(864)*-2 - sqrt(864)) - sqrt(864)))*-6)\/((sqrt(1176)*2)\/sqrt(2)*4))**2.\nAnswer: 2025\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345119 is divided by 631?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m + 17*m - 3*m)*(-2*m + 24*m**2 + m + m) to h*m**2 + w*m**3 + y*m + c and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - ((-19)\/(-8) + -2 + (-1839)\/(-280)). What is the nearest to 2\/5 in 2, 9, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-4\/5))\/(r\/(r\/(r**8*r))))\/((((r**(-2\/5)\/r)\/r*r)\/r)\/r**(-1)))\/(r**4\/(r**(-1)\/r)*r**(-2\/13)*r*r*r*r*r**(1\/6)) assuming r is positive.\nAnswer: r**(-6401\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6169 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3 + (sqrt(20)*-4 - 4*sqrt(5)*6))*-1 + 0)*-6.\nAnswer: -192*sqrt(5) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -8, -2*b + s = 1. Let z = b + 2. Let u(m) = -m**2 + 3*m**2 - z*m**2. Let a(t) = -t**2. Determine a(u(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 10. Let o be t(8). Solve 43*c + 19*c**3 + 17*c - 24 + 4 - 5*c**4 + 11*c**3 - 65*c**o = 0 for c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 6844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (162\/2916)\/(2\/12). Factor 0 + g*r - 1\/6*r**3 - 1\/6*r**2.\nAnswer: -r*(r - 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.3*0.448\nAnswer: 3.7184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**9\/60480 - w**8\/26880 - w**4\/8 + w**2. Let c(q) be the second derivative of t(q). Solve c(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(1\/3))**(-2\/5)\/(v**(3\/8)*v*v**1))\/((v**0\/v)**(-3\/10)\/(v\/v**(-1\/3)*v*(v\/((v*v**(-1)*v*v)\/v))\/v)) assuming v is positive.\nAnswer: v**(-241\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 65?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {g: 1, o: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -14.3. Let v = 1.2 + s. What is the third biggest value in -4, v, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/9, 1, 4, 0.21, 2 in descending order.\nAnswer: 4, 2, 1, 0.4, 0.21, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - s**2 + 7*s. Let y(k) = k. Determine l(z) - 3*y(z).\nAnswer: z**3 - z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 501 + -1a88?\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.2, -2, 1\/7, 6\/95?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056372543 to four dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18161011 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: Convert 792752 (base 11) to base 16.\nAnswer: 134464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7382 - 2?\nAnswer: -7384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from ekyhyyqyykfk?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.6 - -0.2. Let y = p - 3.4. Let k = y + -0.4. Which is the third smallest value? (a) -3 (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6810 times -5\nAnswer: -34050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 2*d**2 + 5*d**3 + d**2 + 139*d**2 - 137*d**2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67598*-166.\nAnswer: 11221268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6\/(-9)*-15. Let s be (-168)\/(-15) - (-2)\/o. Suppose -s + 2 = 3*d. Which is the nearest to 0.1? (a) d (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 54*l**2 - 4*l - 34. Let r be a(27). Let u(m) = 3*m - 7. Calculate the least common multiple of u(6) and r\/(-12) + (6 - 164\/24).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 167, -674, -2075, -4036, -6557, -9638, -13279?\n\"Answer: -280*c**2 - c + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.52 and -786.31933.\nAnswer: -789.83933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5456\/(-155) + (-3 - (-33)\/15). Sort s, 0, 1, 5 in decreasing order.\nAnswer: 5, 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**2)*u\/(u*u*u\/(u**(-20)\/u)*u))\/(u**(11\/3)*u**(-25)) assuming u is positive.\nAnswer: u**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*(sqrt(117) - sqrt(117)*-2))\/(sqrt(576)*1 - sqrt(9)).\nAnswer: 45*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496 = 3*v + 4*m - 549, 0 = -5*v + m + 73 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6*1\/(-4))\/(33\/13222). Suppose -3*t = 346 - d. Let m = -40 + 57. What is the highest common divisor of t and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 10*k - 24. What is the units digit of (1407\/(-14))\/((-4)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1143487 and 3?\nAnswer: 3430461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -8*s + 1\/20*s**5 - 5\/12*s**4 + 2\/3*s**3 - 1\/2*s**2 + 0. Let l be j(4). Sort l, 0, -3 in decreasing order.\nAnswer: 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 38, -5, 3, 9, -2 in increasing order.\nAnswer: -5, -2, 3, 9, 38, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p + 5*s = 21, 3*p - s = 143. Suppose 0 = 4*k - 4*u - 2152, -4*k - p*u = -47*u - 2149. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -27*x**2 - 21. Let j(h) = -53*h**2 - 111*h**2 + 268*h**2 - 110*h**2. What is j(c(q))?\nAnswer: -4374*q**4 - 6804*q**2 - 2646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -6. Let t = 6 - z. Put 1\/7, 6, t in ascending order.\nAnswer: t, 1\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*l**2 - 43*l**2 - 34*l**2 - 43*l**2 + l to the form r + k*l**2 + n*l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*d**3 + 20*d**3 - 2*d**2 + 12*d + 20*d**3 + 3*d**4 - 37 - 14*d in the form c*d**2 + i + w*d**3 + f*d**4 + a*d and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 5*u - 1275, u - 291 = -5*q. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 3, -4.\nAnswer: -4, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 2*p**2 + 0 - 14*p - 4\/3*p**3 + 1\/3*p**4. Find h, given that s(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7877 != -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**3\/3 + v**2\/2 - v + 2. Let q(m) = -4*m**2 - 8*m + 7. Let s be (-1 + (-14)\/10)\/(72\/(-180)). Determine s*i(t) + q(t).\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-430)\/20 - 10)\/(18\/(-14))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 12:55 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -41*x + 5. Let r(v) = 165*v - 19. Let m(i) = 2*r(i) + 9*y(i). What is the remainder when m(-3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2559196163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12897594*0.1.\nAnswer: -1289759.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200 (base 3) to base 13.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000457 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881*g = -855*g - 728 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2 - 1. Let k(o) = -2*o**2. Let c be k(s). Is (2 - -728)*c\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 9*a = -15468. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 829159478 to the nearest integer?\nAnswer: 28795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38126 (base 9) to base 13\nAnswer: b87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129805 and 1950?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21198 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 409 + b - b**2 - 409. Let u(k) = k**2 - 6*k. Determine -5*c(t) - u(t).\nAnswer: 4*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {k: 5, v: 1, w: 8, t: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -871*w - 3319. What is the least common multiple of 6 and q(-39)?\nAnswer: 91950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 199019, 398034, 597049, 796064, 995079?\n\"Answer: 199015*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0378028 millimeters to nanometers.\nAnswer: 37802.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/3*j**3 + 2\/3*j**2 + 0*j + 7\/6*j**4 + 0 = 0 for j.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12375\/20)\/15 - (-3)\/4. Suppose 0 = -41*d + c*d - 5. Suppose -3*m - 2*m = -4*o - 372, 5*o + 370 = d*m. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (976 - 24 + 639 + 411 - 172)*(t + 3*t - 5*t).\nAnswer: -1830*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 + 5*b - 2. Let t be 67*((-2)\/(-3) - 16\/(-48)). Let m(x) = 67 + x**2 + x - t. Calculate -5*m(w) + s(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407661.\nAnswer: 1407661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47828 is divided by 3401.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*p - 32, -4*h - 2*p + 26 = -4. Let n = -5 + h. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/7)\/(p\/p**(-2)))**(-30)*(p*p\/p**(-3)*p**(-1\/4))**(-29\/3) assuming p is positive.\nAnswer: p**(5143\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -380 (b) -6 (c) 2\/5371 (d) -0.1 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1290087 * -0.11.\nAnswer: -0.014190957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 + 14*m + 6. Suppose 9*s = -4*s - 78. Let z be x(s). Solve 2*v + 7 = u - 4*u, 0 = 5*u - 5*v - z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 146?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5322804, -5322830, -5322856, -5322882, -5322908?\n\"Answer: -26*n - 5322778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 1\/16*b**4 - 1\/4*b**3 + 0*b + 21 + 1\/24*b**6 + 3\/20*b**5 - 1\/4*b**2. Factor i(n).\nAnswer: n*(n - 1)*(n + 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h + 7110. Let s(r) = 15*r + 11851. Determine -12*m(i) + 7*s(i).\nAnswer: -3*i - 2363","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1469990*f + 1469990*f - 238*f**5 + f**3 + 608*f**2 - 412*f**5 wrt f?\nAnswer: -39000*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Suppose -5*f - 10 = 0, -2*f - 3*f - 2 = l*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**5\/5 + 7*x**4 + 98*x**3 + 686*x**2 + 18*x. Find u such that t(u) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-165) - (-10)\/(-55).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898*r + 7811 + 569 + 600 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111181*g**4 - 2*g**2 + 4*g - 7997 wrt g.\nAnswer: -2668344*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -17*a**3\/9 + 59*a**2\/6 + 4355. Solve r(w) = 0 for w.\nAnswer: 0, 59\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5. Let u(c) = c - 1. Let g(d) = 2*u(d) + 2*y(d). Suppose 0 = -4*p + 11 - 39. Give g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95.996 - 104.39. Round j to one dp.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -669.1017.\nAnswer: 3345.5085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 + 117 = 5*c. Let y(i) be the third derivative of -i**6\/120 - i**5\/20 + 3*i**4\/8 - i**3 + i**2. Is y(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5\/4 - 5*p**4\/4 + 17*p**3\/4 + 13*p**2\/4 - 3*p\/2 = 0 for p.\nAnswer: -3, -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 105018119, 1\/3 in decreasing order.\nAnswer: 105018119, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2898*g + 3583. Is k(-88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-40)\/(-15) - 3). Suppose r*f = 7*f - 45. Does 34 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462804, -462805, -462806, -462807?\nAnswer: -462808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -15. Put -11, v, 1 in increasing order.\nAnswer: -11, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11418 - -881?\nAnswer: -10647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.5, 1214, -1\/6, 2\/5, 2\/17, 4, 5\/6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*l**4 + 106*l + 40*l**4 + 31*l wrt l?\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 4148 = 638. Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118645 + 1214. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00562457 to 4 dps.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7232.98258 - 7233. What is a rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 3*p**3 - 4*p**3)*(-2 + 3 - 2)*(-2 - 4 + 1).\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 4651883455908 and -4.\nAnswer: 4651883455904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 875, 3226, 7059, 12374, 19171, 27450, 37211?\n\"Answer: 741*v**2 + 128*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from {c: 3, x: 1, t: 1, y: 2, d: 2, l: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1239836 and 254137.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-37)\/(-3))\/((-9)\/54). Let t = -73 - m. What is the fourth biggest value in -4, -1, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 - 9*l - 2*l**2 + 2*l**2 + 2 + 18*l to g*l + u*l**2 + r*l**3 + q and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.481625197 to four decimal places.\nAnswer: 3.4816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2 - 6, 0 = -2*x - 5*o - 29. Let m(c) be the second derivative of c**5\/20 + c**4 - 4*c**3\/3 + c**2 + 9*c. List the prime factors of m(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -8. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(36\/27)*(-14)\/(-3). What is the highest common factor of x and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1050137674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -267a60 (base 14) to base 15\nAnswer: -1b3481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*p - 99. Suppose 0*h = -h + p. Suppose 3*a - h = 3*t, t + 4 = -2*a + 12. Solve t = 4*i - i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -108, -160, -212?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4279 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2558, -5112, -7664, -10214, -12762?\nAnswer: -15308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20743 is divided by 364.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -13. Suppose 9 = -v + 3*r, -5*v + x = 5*r - 22. Suppose 0 = -v*l + 4*l - 2. Solve -q + 7 = 3*o, -l = -3*q + 3*o + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.274, 0.5, -0.5, 0.2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.1. Let h = -22 - -113\/5. Which is the third smallest value? (a) h (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*a + 46*a + 55 + 16*a - 64.\nAnswer: -6*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25730, -6 in descending order.\nAnswer: 0, -6, -25730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4*((-66)\/(-18) - 5). Solve -4*n + 10 = -2*n, 3*n - 15 = b*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-180)*(-9)\/(-6). Let b = 31\/120 - n. What is the biggest value in -1, b, -1.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.97 take away -12051?\nAnswer: 12033.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 271 + -122. Find the first derivative of 38 + 36 + 102*i - x*i wrt i.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-10))\/(6\/40). Suppose 0 = -15*f + j*f + 15. Suppose -2*h = -f*i - 3*h + 115, 4*h - 4 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:59 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -m + 15*y - 12*y, m - y + 173 = 0. Which is bigger: m or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-315)*42\/(-98).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 573 + -521. Calculate the remainder when 465 is divided by o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2961*a + 2956*a - 8875*a + 181 + 2957*a)*(-450*a + 7*a**2 + 450*a).\nAnswer: -7*a**3 + 1267*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*h + 202*h + 339*h.\nAnswer: -203*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(10\/3)*2. Let y(h) = h**2 - 5*h + 3. Let a be y(d). Is (-92 - 1)*a\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 49 + 6*y**3 + 44 - 134 + 41.\nAnswer: 6*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*14\/(-168)*(-1)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -37, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1158 + 625. Let a = -474 - f. What is the remainder when 229 is divided by a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqmz. Give prob of picking 1 m and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5795679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 4566.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -40872*g**2 + 1. Let l(w) = 36*w**2. What is n(l(d))?\nAnswer: -52970112*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + 6*q + 11. Give o(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 41*f - 38 as s + d*f and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - 209. Find the third derivative of -376 - p**3 + 159*p**5 + 377 + 0*p**3 - 30*p**o + 3*p**3 wrt p.\nAnswer: 9540*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6156*l**2 - 6*l**3 + 30 - 32 + 6102*l**2 + (-1 + 0 + 2)*(-2*l**3 - 2*l**2 + 2*l**2).\nAnswer: -8*l**3 - 54*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2. Let m(n) = 0*n**2 + 3 - 5 + 8*n**2. Let c(r) = -33*r**2 + 9. Let g(o) = 2*c(o) + 9*m(o). What is h(g(a))?\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-27) + (-938)\/(-126). Let z = -3 - -13. Let r = v + z. Calculate the greatest common divisor of 153 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24544.6301074004 and 0.3.\nAnswer: 24544.9301074004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 175900*h**3*m**3 - 3*h**3 + h**2*m**2 - 13*h**2 + m**3 + 23 wrt m?\nAnswer: 1055400*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11588691 and 1704?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 + 7116420*y**2 = 0.\nAnswer: 0, 2372140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201 + 238.18. Let u = p + 0.82. Which is greater: u or -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 7*x**2 + x - 8. Let g(v) = -6*v**2 - v + 1. Let c be g(1). What is the smallest common multiple of m(c) and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92.5 + 92.4. What is the second biggest value in 0, -1, t, 3\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m\/(m**0\/m))\/m))**(2\/133)*(m**(-2\/3))**(2\/57))\/((m**(-2\/7)\/m)**38*m**(-2\/3)*m*m*m\/(m*m**(-3)*m)) assuming m is positive.\nAnswer: m**(54482\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.26 and 434.\nAnswer: 433.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 589283372 a multiple of 5195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/25)\/(-7))\/(3\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*j + 5, 4*s - 52 = -2*j - 42. Determine a so that 0 + 0*a**2 - 1\/4*a**5 + 0*a**3 + 1\/4*a**s + 0*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-22)\/l*l*l*(l*l**(-11)*l)\/l)\/(l*(l\/l**(-2))\/l*l*l**(2\/25)\/l))**(-36) assuming l is positive.\nAnswer: l**(30672\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 24575 and 24575 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 129*h - 39*h + 59*h - 113*h + 8.\nAnswer: -212*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8650097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**7\/420 + n**5\/30 + 11*n**4\/24 + 9*n**2. Let f(m) be the second derivative of l(m). Differentiate f(k) with respect to k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.826 - -0.126. Let a = l + 9.700062. Round a to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 11, 5, -2, 1, -19 in descending order.\nAnswer: 11, 5, 1, -2, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 15*q + 12. Give j(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/9 - 6*g**2 + 157*g. Factor m(z).\nAnswer: 4*(z - 3)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Which is the nearest to 1\/2? (a) 2\/5 (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) + 3*sqrt(77) + sqrt(77)))*4 - sqrt(77)))\/((sqrt(49) + sqrt(245)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 3179\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75651 + 4?\nAnswer: 75655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:36 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7110300072.\nAnswer: 2, 3, 296262503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 16) in base 12?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**6\/360 - 7*h**5\/120 + h**4\/4 - h**3\/2 - h**2. Let c(k) be the first derivative of n(k). What is c(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2768, -22196, -74934, -177638, -346964, -599568?\nAnswer: -952106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69678 and 2942793?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 13116 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1725 or 306?\nAnswer: -1725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + s**2 + 4)*(3 - 3 - 7*s) - 2 + 2*s**3 + 2 + (-21*s + 4 + 21*s - s**2)*(2 - s - 2) in the form l + d*s**2 + m*s**3 + o*s and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9231 - -9229. Let c(k) = -56*k - 6. Give c(z).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 32*f**3 - 52*f**2 - 60. What is the second derivative of m(s) wrt s?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1204\/1935 + (2\/(-36))\/(5\/20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**2 - d - d - 2 + d. Let b be 2\/3 - (-54)\/162. Let o(i) = i**2. Give b*u(j) - 6*o(j).\nAnswer: -2*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 334 and 11189.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**2 + 2*k + 1. Let d be h(-1). Calculate the highest common divisor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-26)\/(h\/(h*(h\/h**(3\/7)*h)\/h)*h**(-2\/7)*h) assuming h is positive.\nAnswer: h**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111899.4 litres to millilitres.\nAnswer: 111899400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535.319cm in nanometers?\nAnswer: 15353190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1364 divided by 4.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*t = -11, 5*k + t - 6 = 4*k. Let i(j) = -k*j + 3*j + 2*j. Let g(z) be the first derivative of z**2\/2 - 3. Calculate g(i(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 377069293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r = -17*r - 80. Let v be -36*((-16)\/15 + 8\/r). Let c = v + -10. What is the remainder when 52 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 - -0.37. Let x = -170 + 93. Let m be x\/(-8) + 12\/(-96). Which is the nearest to 0.1? (a) 4\/7 (b) m (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 - 75*v**2 + 16*v + 225. Determine q(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26533002 (base 7) in base 4?\nAnswer: 21110333001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(5\/6))\/(c**(-10)\/c)*(c\/c**(-7))**30 assuming c is positive.\nAnswer: c**(1517\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.42 - 0.92. What is the second smallest value in -2\/13, n, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - b + 4 - 2*b + 0 + 0 + (3 - 3 + 1)*(4*b - b - 2*b) - 2*b - b + 5*b + 2*b + 0*b + 4*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4 - 28992*k**3 + 435501*k**2 - 523314*k - 6271992 = 0.\nAnswer: -9679, -3, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 6 - 1 - 4*t. Suppose -3*s + 3 = -3*x - 0, 3*s + 5*x = -13. Let v be (0 + s + 3)*2. Give m(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) - (-88)\/24. Suppose 0 = -5*c + 2*l - 371, -c = -6*c + m*l - 369. Is -76 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131344798 smaller than 131344798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46326367, 46326364, 46326359, 46326352, 46326343, 46326332?\n\"Answer: -o**2 + 46326368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z**2 - 5*z - 5. Let v(q) = -5*q**2 - 2*q - 2. Let y = -12 - -29. Suppose 4*j - y = -5. Calculate j*u(c) - 8*v(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 5. Let o(n) be the first derivative of -n**3\/3 - 3*n**2\/2 + 4*n + 1. Let r be o(-3). Which is the smallest value? (a) r (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 2:44 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 174004073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*l + 22*l - l**3 + 27*l + 23*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5211*b - 2*t - 40 = 5213*b, -127 = -4*b + 5*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216*u**3 - 365 wrt u.\nAnswer: -648*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 220450 or 220449?\nAnswer: 220450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -2.3. Which is the closest to 2? (a) k (b) 3\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75524800 and 3200.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2049859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3*u**3 - 33*p**2*u**3 + 2*p**2*u**2 - p*u + 3*u**3 + 37 wrt p.\nAnswer: 6*p*u**3 - 66*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7071724ml in litres?\nAnswer: 0.0007071724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(-3*o + 2*o + 2*o + 0 + o + 0 + (0*o + 0*o - 2*o)*(-5 + 3 + 3) - 3 - o + 3 + 31 + 35*o + 39 - 69).\nAnswer: 68*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k - 3. Let o be (-6)\/5*(-10)\/3. Sort o, 0, k in decreasing order.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 5 + 3 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*4*(sqrt(5)*-2 - sqrt(5))*3 - (5 + (5 + sqrt(5)*-1)**2)*2) + 2)*5.\nAnswer: -340 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-29 - (-10 + 3)) + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - 32. Let z = h - -71. Solve -4*b - z = -0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r - 4*r + 4 - 10*r as s + v*r and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16828 (base 9) in base 5?\nAnswer: 332414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 95\/10)*(2 - 4). Suppose 6 - 6 = g*u. Solve -3*t + s - 10 = u, -t - 4*s = 3*t + 40 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*f - 895, 3*f - 539 = -6*g + 5*g. Let w(u) = f*u - 54*u - 63*u - 56*u. Let r(s) = 3*s. What is r(w(m))?\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.02 * -1.99\nAnswer: -4.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 4*d**2 + 6. Let r be s(-3). Is ((-2739)\/r)\/(4\/5 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 - (-145)\/50.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*i = -i + 3, 0 = -3*a - 5*i - 15. Suppose -2*c + 3*c = a. Solve 5*p - 5 = c, -s - 11 = -3*s - 3*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 317 = 5*h, h + 4*g + 66 + 1 = 0. Let v be (4\/12)\/(16\/(-3012)). Let i = v - h. Which is smaller: i or 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 4 + 2)*(0 + 0 + 3) + 5 - 9 - 7)*(0*g**2 + 0*g**2 + g**3) to the form z + x*g**2 + r*g + d*g**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-91))\/1*3\/(-3)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2403, -2501, -2587, -2655, -2699, -2713, -2691, -2627?\nAnswer: -2515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + -6. Let h = g + 28. Solve -h = -3*b + 3*n, 17 = -2*b + b - 3*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*z + 10, 5*p - 9 = z - 1. Is 16\/p - (-791 - 8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 9:59 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54740 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47564536 a multiple of 5476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 11*r**3\/6 + 9*r**2 - 23*r. Let g be p(-6). Let q = g + 84. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 442 = -2*y + 378 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -104\/71505 and 55\/454.\nAnswer: 143010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26 (b) 259 (c) -0.4 (d) 2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*m - 17, 0*g = g + 5*m - 9. List the prime factors of (-408)\/(-14) - 2\/g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111468214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 2*z**2 + z - 2. Let o(v) = -10*v**3 + 6*v**2 + 50*v + 14. Determine o(m) + 4*q(m).\nAnswer: -2*m**3 - 2*m**2 + 54*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 14, c: 1, p: 2}. Give prob of sequence clp.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2 - 51*n + 270. Calculate o(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/7 - 34*k**2\/7 - 275*k\/7 - 242\/7 = 0.\nAnswer: -22, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96978.\nAnswer: 2, 3, 7, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220021 (base 3) in base 16?\nAnswer: -841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 1 = -5*n. Let m be (100\/(-16))\/n - (-3)\/12. What is the biggest value in 0.3, m, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 155570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = s. Let w(y) = y**3 - y**2 - 3*y + 2. Let p be w(s). Suppose p*h = h + 790. Round h to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/192 - (7\/2)\/(-1). Suppose -8 = -4*d - 4*s, 2*s = d - 0*s - 8. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143244 is divided by 150?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 7. Let c be t(5). Let w = -40 + 55. Suppose 2*p - 2*d = -p + 8, -5*p = 2*d - 40. Solve 0 = 3*k - p*k + c*y - w, -4*y = 2*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2730, 11011, 24836, 44223, 69190, 99755?\nAnswer: 135936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 15) + -28 + (-13 - -36).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, -3\/4, -1, -4, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2325\/(-930)*(2 + (-772)\/390).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -637 + f**2 - 3*f**2 + f + 630 to m*f + w + o*f**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -10995058399.7?\nAnswer: -10995058399.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 28032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14112, 28144, 42336, 56688, 71200, 85872?\nAnswer: 100704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14165 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5873033283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12*u**3 - 8*u**2 - 42*u - 33. Give p(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(-6*(-8)\/(-15))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64 - -72?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 157330 and -8?\nAnswer: 157338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18599 or 18595?\nAnswer: 18599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/72)\/((-1400)\/126 + 11).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1538.\nAnswer: 7690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40227 + -22322. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 8. Let m(x) = x + 4. Let t(c) = 13*m(c) - 6*n(c). Let i(b) = -3*b - 2. Give 13*i(w) + 6*t(w).\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 1 w when three letters picked without replacement from {w: 1, p: 1, v: 1, d: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/270*-5 - -2*(-1071)\/(-108).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f - 1. Let k(a) = -15*a**2 - a - 6. Let p(o) = k(o) - 6*m(o). What is the second derivative of p(z) wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183580 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/(-10) + (-2249)\/(-65).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9360.056 millilitres?\nAnswer: 9.360056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2442 (base 11) to base 12.\nAnswer: -1a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**4 + 2*c**3 + 74*c**2 wrt c.\nAnswer: 144*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, q: 2, l: 8, b: 1}. Give prob of sequence ggbq.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-25\/4))**(-1\/25) assuming r is positive.\nAnswer: r**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 590, 4047, -1 in decreasing order.\nAnswer: 4047, 590, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g - 7. Determine u(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*b - 2*b = 128, 96 = -4*y - 397*b + 401*b for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31245221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7614 or -83738\/11?\nAnswer: -83738\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + 9. Let t = x + -26. What is the units digit of t\/((-12)\/88)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51711753, -51711754, -51711755, -51711756?\nAnswer: -51711757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200 - 323?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1139 divided by 765\nAnswer: -67\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2314.6 times 49\nAnswer: 113415.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a**3 + 1. What is the lowest common multiple of s(1) and 7 - ((-2 - 8) + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let o(l) be the first derivative of -l**2 - 7. What is d(o(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*0 + (2 - -3). Solve -4 = 5*i - 4*g, 3*i - x*g + 3*g + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1125562cm in millimeters?\nAnswer: 1.125562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189756 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(192\/18)*2*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*q - 3*q = 2, 4*i + 5*q + 28 = 0. Let t = -3.5 - 1.5. Let w be (5\/(-20))\/(6\/40). Which is the third smallest value? (a) w (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 63, 65, 67, 69?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (27\/567)\/(6\/14) - (-256)\/(-360)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**3 - 4*j**2 - 10*j. Let k(p) = -3*p**3 - 5*p**2 - 8*p. Let f(l) = -2*i(l) + 3*k(l). Calculate f(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15939445 and 3470?\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + (-1 - (-220)\/3). Let q be (28\/(-6))\/(12\/s). Let d = q + 43. Calculate the highest common factor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t = -47*t. Suppose t*s + 60 = 3*s. Calculate the lowest common multiple of s and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 917\/90730 or 0?\nAnswer: 917\/90730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -7. Suppose 0 = -h*m - 3*n + 4*n + 171, m - 5*n = 15. Let s = m + -25. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28139.57 litres?\nAnswer: 28139570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -7 - (-3 - (14 + -2))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236461?\nAnswer: 236461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -73795049 take away 2.37?\nAnswer: -73795051.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64363 not equal to 64363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-3\/10)*k*k)\/k*k)\/k*k*k*k*k*k*k*k**(2\/5)\/k*k*k*k)\/(k**(1\/6)\/(k**(6\/5)*k)))**(-1\/3) assuming k is positive.\nAnswer: k**(-167\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4.5, 0.6 in ascending order.\nAnswer: 0.6, 3, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7161*-0.363.\nAnswer: -2.0749443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 1. Let t be u(1). Let h be 26805\/100 + t + 1. Let y = 271 - h. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*c + 49. Calculate the smallest common multiple of 262 and (2 + (c - -2))\/(6\/3).\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, 0, -55, 0.2, -0.13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -73, -310, -707, -1264, -1981, -2858, -3895?\n\"Answer: -80*q**2 + 3*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41509077 is divided by 338?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 40. Solve n*b + 2 = -2, g = -5*b - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 104\/11?\nAnswer: 104\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-2 - -1) - (-82 + 79)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 54*t**2 - 33*t + 223. Is 97 a factor of u(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 less than -5118774?\nAnswer: -5118667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2, t - 6*t + y = -21. Solve -5*l = -3*r - 8, -t*r = l - 2*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 + 119.5. Let u = -153 + y. What is the biggest value in u, 4, -0.2, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -28, -39, -62, -103, -168, -263?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 57*u**2. Let g(r) be the second derivative of 41*r - 1\/6*r**3 + 0 + 0*r**2. Determine g(n(v)).\nAnswer: -57*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(248\/31))\/33\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 4*x**2 - 3*x + 3. Let l be r(3). Suppose -2*v + l*i + 56 = -49, v - 45 = 3*i. What is the greatest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 9032*l**2 + 1265142*l + 10700208.\nAnswer: 2*(l - 4371)*(l - 153)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19c + -17d?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(52))**2 + (sqrt(117) + 0 + -3)**2.\nAnswer: -18*sqrt(13) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 1 + (-4 - -3). Suppose 4*c + p - 8 = 0. Factor -6*g**3 + 3 - 8*g**c + 2*g**3 - 3.\nAnswer: -4*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccej when four letters picked without replacement from czzjcjzezczjczczzz?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02571 and -5.4878.\nAnswer: 0.141091338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 80560.5\nAnswer: -402802.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30 - (0 + 2))\/(-2). Suppose 0 = 3*u + 3*r - 12, -2*u + r + x = 2. Solve 2 = -2*s + u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3723*p**2 - 564*p - 5. Let w(d) = -1242*d**2 + 189*d + 2. Let l(a) = 8*w(a) + 3*y(a). What is the second derivative of l(k) wrt k?\nAnswer: 2466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - -44*(-1348)\/19440 and -29\/30?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + r)*(-1 + 6 - 4)*(-33*r - 1924 - 1928 + 3849) to v + s*r + p*r**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let x be 0*u\/3 + 2. Solve -x*t = 3*t + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47573 is divided by 328?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 1610?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 - (-1)\/1. Let w = -556 + 552.01. Let k = w + 7.99. Which is the closest to 1\/2? (a) -4\/3 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, p: 1, w: 6, s: 3}. Give prob of sequence su.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-9 - -61 - 24 - -14)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1282106 - 4?\nAnswer: -1282111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 110?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 108 - 16. Suppose -v + 11 = 5*d, 3*d - f = 5*v - 17. Suppose -d*g - 68 = -c, -3*g = -2*c - g + 156. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407631652 minus 245.193?\nAnswer: -407631897.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 60 - 133)*(3*j**2 - j**2 - 4*j**2).\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 + 95*o**2 - 9590*o - 229567. Give v(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-7 + 1) - 3. Suppose -22*p + 161 + 15 = h. Solve p*y - 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 6*p - 31. Let y be s(-6). Let b = 882 + -882.493. Let d = 0.007 - b. Sort y, d, -8 in descending order.\nAnswer: y, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/20)\/(100895\/25225 - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 5*q + 80, -5*q + 2*h - 85 = 0. Suppose 4*s + 12 = -16. Let y = s - q. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -745, -2227, -4449, -7411?\nAnswer: -11113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m - 748 = -97*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2111 + -1003. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483298278.\nAnswer: 2, 3, 71, 1134503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/80 and 17\/624360.\nAnswer: 1248720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28418.72 days?\nAnswer: 40922956.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49085, -196338, -441763, -785360, -1227129, -1767070?\nAnswer: -2405183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r + 1 + 2*r**2 + 5*r**2 + 0*r - 6*r**2. Let j be l(5). Let x = -14 - -14. Sort 4, j, x in ascending order.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 7*i + i**3 - 2 + 9*i**2 - 5*i**3 + 4*i**3. Let q be o(-8). Suppose q*d - 11*d = -470. What is the remainder when d is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 10.5. Let r = 0.61 - 0.21. Sort -5, r, n in ascending order.\nAnswer: -5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 2, -2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 783000 and 738.\nAnswer: 32103000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2644583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 18 = -2*m. Suppose f = -m + 15. What is the remainder when 16 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k - 87 = 0. Suppose 11*a + 12*a = -92. Sort 0, k, a in ascending order.\nAnswer: k, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/14))\/t)\/((t**11*t)\/t) assuming t is positive.\nAnswer: t**(-157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.323259 and 0.9227964.\nAnswer: 1.2460554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056584?\nAnswer: 2, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 350053?\nAnswer: 350053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0052001 - -23696449.\nAnswer: 23696449.0052001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o - 0*u + 3*u, -o - 2 = u. Let h(i) = 2*i + 2. Let a(s) = -s - 1. What is o*h(l) + 3*a(l)?\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18463462 is divided by 18463439?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-2.52.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 383, 14, -353, -718, -1081, -1442, -1801?\n\"Answer: r**2 - 372*r + 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1831*g**3*s*x - 6765*g**3*x - 34*g**2*s*x - 22*g**2*x + 50*g*s - 3*g with respect to s.\nAnswer: 1831*g**3*x - 34*g**2*x + 50*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 39481?\nAnswer: -39477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let p be (1\/2)\/((-3)\/(-2)). Let n be 3\/(-6) + 13\/18. What is the nearest to w in -5, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000213 (base 4) to base 14.\nAnswer: 2ddd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 4 - 2*f**2 + 4*f + 3*f + 2*f**4 - 3*f to b*f + r*f**3 + x + v*f**2 + n*f**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 3*f - 387. Let u(b) = -19*b + 72*b - 39*b - 13*b. Give u(x(l)).\nAnswer: -2*l**2 - 3*l - 387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/28)\/(((-2106)\/(-45))\/(-39)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 + 609*s**4 + 2466*s**3 + 3714*s**2 + 2481*s + 621.\nAnswer: -3*(s - 207)*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h - 2. Let v(z) be the second derivative of -7*z**3\/6 - z**2 + 2*z - 8. Give -4*p(m) + 3*v(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37944 and 459?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + l**3 + 0*l**3 + (0*l**2 + 3*l**2 - 2*l**2)*(0*l - 5*l + 3*l) + l**3 - 2*l**2 + 2*l**2)*(-l + 0 + 0)*(-75 - 55 + 81).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -n**4\/24 + 7*n**3\/6 + 4*n**2. Let o = 56 + -51. Let q be t(o). Solve -w = q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-178171)\/(-35) + ((-18)\/10)\/3. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -52, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 4*v**2 + 3*v**2)*(-v - v - 2*v)*(13 - 17 - 26) to the form g + w*v**2 + b*v**3 + c*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 23439*y. Let t(x) = 4*x + 3651. What is t(o(b))?\nAnswer: 93756*b + 3651","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.59405998 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Suppose -19*x - 11*x + 7680 = 0. Let k = -252 + x. Solve -d*s + k*s = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45473430.\nAnswer: 2, 3, 5, 853, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z*z*z*z**(-4\/5))**24 assuming z is positive.\nAnswer: z**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 1.6 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5 = -5*x, -3*x + 3*c = 76 - 85 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -y - 4, -2 = -2*y + h - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.987 - -0.0644356825.\nAnswer: -8.9225643175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a factor of 1442650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (28\/588*-35)\/((-5)\/21)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40056 + 131?\nAnswer: 40187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -5*a - 4*c + c, 0 = a + 4*c - 26. Is a < 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 33\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -172*m - 1580. What is j(-9)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31a45 + -3?\nAnswer: 31a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*m = 25, a - 43 = -5*m - 9. Let o be a\/(-3) + 2\/1. Let v = 198.7 + -200.7. What is the biggest value in o, v, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/42 + (-16)\/(-154)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Suppose -4*a = 16, -a + l*a = 5*n - 9. Let z(x) = x**3 + 2*x**2. Let q be z(-2). Solve -i = -q*i - n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42684)\/8)\/(33\/(-22)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1361513584 or -1361513583?\nAnswer: -1361513584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 2*g**3 + 3 + 10 + 8*g**2)*(0*g - 2*g**2 + 0*g).\nAnswer: 4*g**5 - 16*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.45 and -44938.\nAnswer: -44937.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-116860.3.\nAnswer: -23372.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10213620 - -22?\nAnswer: -10213576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (2 - (0 + 0)). Suppose 3 = x*i - 13. Suppose k + i = 0, 3*k + 76 = 7*s - 3*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*c - 592 = -168*c + 509. Solve -c*j + 9 = -4*x + 2, -5*j = -x + 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 3*m**2 - 2*m. Suppose -5*l - 3*b = -0*b - 16, -27 = -3*l + 4*b. Suppose -l*g + 12 = -5*t + 7*t, -2*g = -3*t - 20. Give k(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 18*u + 86162 = 84027 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/9, 5, -0.0289, 2?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322898580 a multiple of 698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 1.5. Let t = -261.1 - -261. Let h = -592 + 580. Which is the closest to t? (a) g (b) h (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (48\/20)\/((-6)\/(-20)). Suppose 7*s + k = 2*i + 2*s, -5*i + 3*s + 20 = 0. What is the second derivative of 15*p**4 - p - 11*p**i - 2*p**4 wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 + 4*s + 1. Let a(g) = g**2 - 6*g + 4. Let u be a(5). Let p(h) = -h**2 + 1. Let j(b) = u*o(b) - 4*p(b). What is j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(7\/10)*o**(4\/3)\/(o\/o**(-8)) assuming o is positive.\nAnswer: o**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943769749?\nAnswer: 17, 19, 6017863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0232 * 117\nAnswer: 2.7144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/9)\/(b\/(b\/b**3))*(b*b*b*b**3\/b*b)\/b**(-6))\/((b**3*b*b*b\/(b\/b**(-4)))\/(b*b\/b**(1\/4)*b)**35) assuming b is positive.\nAnswer: b**(3749\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 42. Which is the biggest value? (a) 0.1 (b) 1\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 2 + -1)*58\/(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*f + 336*f - 52*f**2 - 678*f - 3*f**3.\nAnswer: -3*f**3 - 52*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5\/11 + 614*i**4\/11 - 8776*i**3\/11 - 36166*i**2\/11 - 37732*i\/11 - 10960\/11 = 0. What is i?\nAnswer: -2, -1, -1\/2, 20, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -25*u + 3*w + 46 + 26, w - 121 = 27*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2337 = c - 2342, -3*q + 2*c = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(((-2)\/8)\/((-1)\/4)*(-5)\/(-5))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 13, l: 3, e: 2}. Give prob of sequence ei.\nAnswer: 13\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2065 times -41664\nAnswer: -86036160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/41400 and -7\/274896.\nAnswer: 6872400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 793.9576s?\nAnswer: 793957.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*u**2 + 621*u**2 - 153*u**2 - 164*u**2 - 158*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 2, j: 4, f: 4}. What is prob of picking 1 j and 1 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-4)\/8). Let u = 2 - y. Is 2\/5 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*-3*1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041399745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2799232 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 500\/18 - 6\/(-27). Let d = j - 2. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*b*l**2 + 225*b*l - b - 6330*l**2 wrt b.\nAnswer: 8*l**2 + 225*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -4) + 3 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/4 - 15*w**3\/4 + 3*w**2\/2 + 6*w.\nAnswer: 3*w*(w - 4)*(w - 2)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -16. Let w be (-3 - 0)*10\/t. Let f(d) = -d**3 - 12*d**2 - 26*d - 58. Let r be f(-10). Solve -r*g + 3*g + 17 = -3*c, 0 = -3*c + w*g + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:16 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 177, 199, 221, 243, 265?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0.3, -190 in decreasing order.\nAnswer: 0.3, -2, -4, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3788747108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11903.\nAnswer: 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**4\/12 - 2*w**3\/3 + 3*w**2. Let l(r) = 2*r + 4. Let s be (4 - -2)*1*-1. Let m(b) = s*l(b) - 7*x(b). Determine m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -591833 by -5.\nAnswer: 591833\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 150\/40*28 + (1 - 2). Let b = -21 - 48. Let c = b + m. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:35 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -13. Suppose -7*f + 1050 = -j*f. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9327\/2 + 4755. Let x = h + -72. Calculate the common denominator of x and -37\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46752, -46764, -46784, -46818, -46872, -46952, -47064?\n\"Answer: -l**3 + 2*l**2 - 11*l - 46742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 74*b**2 + 63*b**2 - 60.\nAnswer: 137*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 9*h + 30. Give p(5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2)*11 + (-16155)\/1795. Suppose -4\/5 - 21\/10*c**f + 1\/10*c**4 + 23\/10*c + 1\/2*c**3 = 0. Calculate c.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, -11, 3, -6, 5, 0 in ascending order.\nAnswer: -11, -6, 0, 3, 5, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1549?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 146081*d + 1899005. Calculate c(-13).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 20. Suppose z = -0 + g. Suppose 3*m - 2*y = 161, -65 = -m - 4*y - y. Calculate the remainder when m is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2) - (111 - -2). Let p = 11 - -181. Let m = p + b. Is 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 749 and 483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27194034718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155 and 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -683 and 2.435 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2. Let g(k) = -k**2 + 7577*k + 6. Give g(t(x)).\nAnswer: -4*x**4 + 15154*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1584? (a) -1 (b) -4 (c) 2 (d) -5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*((sqrt(1539) - (sqrt(1539) + -3) - sqrt(1539)) + sqrt(1539)))**2 - 4*(sqrt(1539) + (sqrt(1539)*2)**2))*-5.\nAnswer: 180*sqrt(19) + 122715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**3 + 4*o**2 - 5*o - 25. Calculate the smallest common multiple of z(-2) and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1\/2*z**2 + 13\/3*z**3 + 47 + z. What is r(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1366 and 1835221?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10\/55)\/((-1)\/(-22))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11001011101 (base 2) to base 8\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 92 = -484. Suppose -z = 2*a - 6*a. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 - -19. Let v be (-3 + 0)*12\/z. Solve 4*i + i + 35 = -v*t, 0 = -5*i + t - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1878 and 48?\nAnswer: 15024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = w + 20, -4*w = 2*g - 2*w + 20. Let m be (-2)\/3 - g\/(-15)*-2. Which is the second smallest value? (a) m (b) 2\/9 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 + -189. Suppose -5*d + i - 40 = v, -i - 32 = 4*d - 3*i. Which is the second biggest value? (a) -3 (b) d (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-10))\/4*-75. Let v(l) = -3*l - 57. Let u be v(n). Calculate the greatest common factor of 297 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1082.8 - 1083.408. What is the third biggest value in l, -1, -3\/5, -4, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -195*m**3 + m**2 + m + 1. Let t(j) = j**2 + j + 1. Determine -c(u) + t(u).\nAnswer: 195*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 1\/3*w**3 - 2 + 0*w + 0*w**4 + 0*w**2 + w**5. What is the third derivative of j(c) wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h. Suppose -5*x + 5*w + 65 = 0, -x - 4 = 4*w - 2. Let g be (-18)\/(-105) - (-4)\/x. Is h equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o = 204. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 76. Suppose 0 = 4*w + 3*r + l, -1 = -r - 0. Let x be (12\/(-20))\/(w\/20). Solve 5*f = x + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327*-0.2.\nAnswer: -65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 85, 105, 143, 205, 297, 425, 595?\n\"Answer: m**3 + m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153007425 or -153007420?\nAnswer: -153007420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4158948 centuries to years.\nAnswer: 41.58948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14983 + 24899. List the prime factors of y.\nAnswer: 2, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 13565370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31325 = 10*y + 11615. Suppose -2*t - 5*q + y = 0, q - 4893 = -2*t - 3*t. Does 40 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -g, -2*g = 4*n - 3*g - 31. 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: Evaluate ((-24)\/6)\/((-4)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.3 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Let o be (-9)\/2*q\/(-3). Find the second derivative of -8*v**o - v - 3*v + 0*v wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*i + 77*i + 531*i = -20372 + 59476 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let f(m) = 24801*m**2. Calculate f(g(b)).\nAnswer: 24801*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63419 or 19?\nAnswer: -63419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 494386 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 13*r + 5. Let v(t) = -12*t - 4. Let d(p) = -4*g(p) - 5*v(p). Let l(x) be the second derivative of -1\/6*x**3 + 0*x**2 - x + 0. What is d(l(q))?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*i - 15 - 20*i + 0)*(-3 + 23 - 9 + 1) in the form d*i + l and give l.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2629*h**4*y**3 + 57*h**3*y**2 - 265707*h*y**3 wrt h.\nAnswer: 31548*h**2*y**3 + 342*h*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*k - 12 = 62*k. Solve -1 = -k*z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 245*n**3 - 19*n + 78*n**3 - 161*n**3 as x*n + j*n**2 + u*n**3 + y*n**4 + k and give u.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 + (-6)\/12. Let d = 4472\/5 - 894. Sort d, -0.01, j, -3\/7 in decreasing order.\nAnswer: d, -0.01, -3\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - k**2 + 5*k + 2. Let x be q(-3). Suppose -88 = -u + x*u. Let p = -14 - u. Calculate the lowest common multiple of p and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15059 - -14283. Do -790 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t\/t**(-25))\/t*t)\/t*(t\/(t*t*t**2))\/t*(t\/(t\/((t*t**2)\/t)))\/t*(t*t**(1\/3)*t)\/t)**(17\/5) assuming t is positive.\nAnswer: t**(1292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172060 or -174133?\nAnswer: -174133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 - (2 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 5. Let m(n) be the third derivative of -n**6\/240 - n**5\/20 + n**4\/24 - 13*n**2. Let a(r) be the second derivative of m(r). Determine a(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5231354903.\nAnswer: 17, 3181, 96739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m = 73*m + 65652. Is 5 + (m\/9 - (-8)\/18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g - 20 = 0. Suppose 0 = -100*s + 284*s - 184. Put g, -2, 0, s in descending order.\nAnswer: s, 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(8\/5))\/c*c)\/c*c*c)\/c**(-2\/15)*(c**(1\/5))**(-5\/6)*(c*c**8*c**(2\/9))\/(c\/c**(-9)*((c**(-7)*c)\/c)\/c) assuming c is positive.\nAnswer: c**(971\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -181\/2894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1836*s - 86 wrt s?\nAnswer: 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -44431, -44432, -44433, -44434, -44435?\n\"Answer: -p - 44430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22996472 divided by -11498236?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 36, -3, -1\/3, 2, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17066 - -17091. Sort b, 0.31, 3\/8 in increasing order.\nAnswer: 0.31, 3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/3)*c)\/(c**0*c))\/(c*c**(-3\/5)*((c\/(((c\/(c**(-2\/7)\/c*c))\/c)\/c))\/c*c)\/c))\/((c*c*c*c*c**1)**(-1\/18)\/(c**(-5)\/(c**1*c))) assuming c is positive.\nAnswer: c**(-4517\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5)*5\/(-1). Let k be -1 + (2 + s)\/1. Let o = 1.3 - 1.2. What is the closest to o in 4, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 71 - 65 - -77.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 284 + 329 = 0. Let q(c) = c**3 + 7*c**2 + 5*c - 6. Give q(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6720 = 31*m + 21*m. Calculate the highest common factor of m and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10006762 rounded to four decimal places?\nAnswer: -0.1001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 24*m**2 + 15*m - 36. Let y be r(24). Suppose -u + y = -0. What is the greatest common divisor of 54 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 29, 104, 249, 488, 845, 1344?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - c = 4*c + 35, -50 = -4*q + 2*c. Calculate the smallest common multiple of 70 and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106*z = -1075*z + 434 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(2299)*2)))*5.\nAnswer: -525*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-687)\/(-458))\/(6\/20). Solve -2*x + x + 5 = 0, -2*m = -3*x + u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p + 3*h + 25, h = -5. Let x(r) = -1 + 2 - 2*r + r + p*r. Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*g - 10 = 0, -2*y + 5*g - 2 = -6. Suppose 175 = y*u - u. What is the highest common factor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/430001 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/360 + 5*w**3\/6 + 5*w**2. Let y(g) be the first derivative of t(g). Let s(k) = 3*k**2. What is s(y(m))?\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 438932 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10125 is divided by 184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2384643*i**2*o**2 + i - 58*o**2 + 6058*o wrt i.\nAnswer: -4769286*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -3. Let j be ((-63)\/30)\/(-7) + (-26)\/(-130). Sort j, -62, 0, v in decreasing order.\nAnswer: j, 0, v, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 21 = t + m, 3*t - 2*m + 24 = 0. Let k = -2 - t. Let y be 84\/99 + k\/(-6). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-16 - -22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -39*n + 268. Let i = 2198 + -2191. Determine u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 40*q**2 + 2*q - 10. Let c be o(-1). Solve -36 = c*v - 40*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/18)\/((-1)\/6). Let m be -3 - s\/3 - 4. Which is the closest to 1\/4? (a) 1\/4 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:05 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovy when three letters picked without replacement from hvofoyyn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**3\/p))\/(p*p\/(p**(-2\/11)\/p*p)))\/(p\/(p\/p**(4\/11))*p*p*p**(1\/4)) assuming p is positive.\nAnswer: p**(-299\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(-3 - -4). Let v = 6 - 8. What is the biggest value in v, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5 - 4. Suppose -11 - 7 = -c*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-488)\/(-60) - 4\/30. Let a(x) be the third derivative of 0 + 0*x - 5*x**2 + 3\/2*x**3 - 1\/24*x**4. Calculate a(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3 - 7) + (-853 - -853)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c80 (base 14) in base 5?\nAnswer: 131313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587.3cm in meters?\nAnswer: 15.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-255))\/((336\/200)\/7)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/j**8)\/j)\/j)\/j)\/j**0)\/(j\/((j*j\/(j\/j**2))\/j))**(-48) assuming j is positive.\nAnswer: j**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/10 - 3*c**3\/10 - 2*c**2\/5.\nAnswer: c**2*(c - 4)*(c + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 + 353*c - 695. What is h(69)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.419 to 2 decimal places.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -86698 divided by 647\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/3 and 89\/372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 w when four letters picked without replacement from {w: 2, q: 18}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 13851 = -29*c. Does 10 divide 8*-1*c\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -16. Let g(l) = 26*l - 5. Is g(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23729475 divided by 825\nAnswer: 28763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-290 - 3142*v + 3144*v - v**2 + 2*v**2).\nAnswer: -2*v**2 - 4*v + 580","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*k = 5*y - 31, 0 = -2*y + 2*k + 12. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/5 - 5*d**2. Let l(x) = 3*x + 5. Let b = 41 + -51. Let s(j) = 2*j + 3. Let y(m) = b*s(m) + 6*l(m). Calculate y(w(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14811, 29449, 43911, 58197, 72307?\nAnswer: 86241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*f + 3*y - 46, 8*y - 4*y - 4 = 11*f - 15*f + f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25894 and 968.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -4*d - 12, -200*o = -3*d - 204*o - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 0 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 11. Let s be (-66)\/(-8) - 2\/b. Solve 4*o + 0*f - s = 3*f, -3*f = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2240110 - 0?\nAnswer: 2240110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 142.407?\nAnswer: 142.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d + 122. Let u(o) = -o**3 - 9*o**2 + 21*o + 8. Let m be u(-11). Let c be l(m). Solve -8 = r - 3*r - 2*h, -2*h + c = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467140\/39 + -11978. What is the fourth biggest value in -0.5, -86\/11, 0.1, b?\nAnswer: -86\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g + 65. Let k be r(21). Let y be (-310)\/(-22) + k\/(-22). Put 3, y, 2 in decreasing order.\nAnswer: y, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/21 + 6\/21. What is the highest common divisor of 8 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.7237 and 6.\nAnswer: 40.3422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6 - 520\/156.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**4\/4 + 3*d**3 - d**2\/2 + d + 1. Let w be l(4). Suppose -57 = -5*v - 2. Calculate the highest common factor of w and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6*r\/r**(-14) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, -16, 2.\nAnswer: -16, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -2*x - x - 13, -4*x + 4831 = -9*w + 4863 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 2) + 21 + (-27 - 0) + -31 + 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrrrrrrrrrrr. What is prob of sequence rrr?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 32.2. Let d(i) = -3*i**3 - 4*i**2 - 3*i - 2. Let t be d(-2). Suppose -2*l - 8 = r, -5*r - l = 10 + t. Sort r, 2, o in ascending order.\nAnswer: r, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {z: 1, t: 2, o: 2, a: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4230800, -4230771, -4230744, -4230719, -4230696, -4230675, -4230656?\n\"Answer: -i**2 + 32*i - 4230831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**16)**(-3)\/((g**(7\/6)*g)\/(g**(1\/12)\/g)) assuming g is positive.\nAnswer: g**(-613\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 127951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12\/42*7\/4)\/(-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-30) - 12*190\/(-225). Let i = 55 - f. What is the remainder when 109 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 11*o - 4. Let g be f(5). Let b be (2974\/30)\/g - 2\/15. What is the highest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 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 f be ((12\/(-2))\/(-3))\/(2\/19). Solve 0 = 4*t - 5*k - f, -5*t = -5*k - 16 - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 222\/11 + 40\/(-220). Solve -31 = -5*t + 4*o, -2*t + 4*o + 2 + f = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 244 - 409. Let q = 168 + d. Solve 0 = 4*o + 4*g - g - 6, -2*o = -q*g + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 132 + 456 = -20*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**2\/2 + 28*x - 645. What is z(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 807\/(-11) + 2\/(-2). Let z = -5741\/88 - o. Find the common denominator of 3 - 14 - 2162\/(-207) and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16219 and 196.\nAnswer: 64876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/10)\/(-7 - (-656)\/80). Sort 1\/6, -2\/7, r, -2, 96.\nAnswer: -2, -2\/7, 1\/6, r, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-21) + -2*12\/84. Let m(f) be the first derivative of y*f + 3 + 4\/3*f**3 + f**2. Find the second derivative of m(d) wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2850 bigger than -2852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**4 - 610*v**3 - 6200*v**2 - 10590*v - 4995 = 0.\nAnswer: -111, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 372381236 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 272 = 4*j + v, -j + 64 = 2*v. Suppose f - 4*f = j. Let u be (7 + -12)*f\/10. Solve n + n - 2*r - u = 0, -4*r = 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60988, -8, -2 in ascending order.\nAnswer: -8, -2, 60988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 21. Let b be v(-3). Let q = 6 + -13. Which is smaller: b or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/(-10))\/((-106)\/(-530)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7945, 7924, 7885, 7822, 7729, 7600, 7429, 7210?\nAnswer: 6937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/12*1388\/(-347)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:26 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -39, -74, -123, -192, -287?\n\"Answer: -x**3 + 2*x**2 - 26*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 14. Let j be x(-7). Suppose 0 = -q - 2*q - j. Let g(p) = p**3 + 8*p**2 + 5*p - 10. What is g(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-29 - 13 - -7) + -4 + 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 556\/695*30\/(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - (1 + (1*sqrt(891))**2) - ((sqrt(11) - (4 + sqrt(11)*-1)) + 0).\nAnswer: -888 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.2 - 14.2. Sort -0.2, -0.07, y.\nAnswer: y, -0.2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210229.0674 rounded to the nearest one thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -213\/35 or -7?\nAnswer: -213\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 3*q + 39. Suppose 0*n + 3*n = 6. Suppose -2*d + q = n*z - 19, -72 = -3*z + 5*d. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/855)\/((518\/(-84))\/(-37))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -14224, 1\/5, 6\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2012001 - -123?\nAnswer: 2012124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 + 0.22. Let v = 160.5 - 160. Which is the fourth biggest value? (a) 2 (b) v (c) 1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 2. Let t be v(9). Suppose p + 16 = -0*m + 2*m, 0 = 2*m + 5*p - 16. Calculate the greatest common factor of m and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t - 4 = 0. Suppose -3*o + 5*x + 69 = 0, o + 4*x = -0*x + 6. Calculate the greatest common factor of o and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(490)*-2)\/(sqrt(45) + sqrt(720) + sqrt(45)*6).\nAnswer: -28*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - 21*r**2 - 77*r**2 in the form d*r + s*r**2 + f and give s.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**2 - 1. Let i(r) be the second derivative of -11*r**4\/12 - r**2 - 718*r. Suppose 4*k - 2*q = -17 - 5, -5*q - 17 = -k. What is k*y(a) + 5*i(a)?\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1331\/2 + 648. Let u = 311\/18 + z. Is -0.1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*k + 3914 = -207*k. What are the prime factors of k?\nAnswer: 2, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070679803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 1. Suppose 0 = -5*k - 9 + 29. Calculate the remainder when n(2) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2898\/672)\/69*144.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141136005306 - 687.\nAnswer: 141136004619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from cmmcmhc?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.38925 millimeters to micrometers.\nAnswer: 31389.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 7, r: 5}. Give prob of sequence yrss.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -35. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s + 11. Let q(t) = -t - 1. Let g(k) = 6*q(k) + x(k). Let f be g(3). Suppose -f = -n - 0*n. Calculate the remainder when 5 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 973 and 973.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*o - 0*o. Suppose -w + o = -y, w + 8 = -5*y - 3*w. What is the units digit of -2 + 4 + -1 - y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10878 + 31685. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v\/(v*v**4)*((v\/v**(5\/4))\/v)\/v)\/(((v\/(v**(1\/2)*v))\/v)\/v)**21 assuming v is positive.\nAnswer: v**(197\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5808 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, p: 4, q: 6, a: 2, y: 3}. What is prob of sequence yfq?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -41, 2, -1, -9.\nAnswer: -41, -9, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3283*i - 2*f + 126 = -3280*i, -i = f - 42. Which is the third smallest value? (a) 2 (b) 0.11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:23 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30 + 7*t + 0*t - t**2 + 13*t - 3*t.\nAnswer: -(t - 15)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627114148.\nAnswer: 2, 809, 193793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38359.\nAnswer: 89, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2 - 65)*(-2 - 7). Find the second derivative of 594 - 105*b**2 + 117*b - q wrt b.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 11. Let g be l(-8). Let c = 1 + g. Let h = 36 + -15. Calculate the highest common factor of c and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*2*(-6 + 45\/10). Let p(a) = -a**2 + 8*a + 3. Determine p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + -2)**2 + (sqrt(3) + 1 + sqrt(18)\/sqrt(6))**2 + 0 + (sqrt(363)*-2 + sqrt(363))**2 + (0 + sqrt(363) + 0 - sqrt(363)).\nAnswer: -8*sqrt(3) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6 - 7) + (-11 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/((13 + 7)\/10). Let y(z) = z**3 + 2*z + 536. List the prime factors of y(t).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -26.9696.\nAnswer: -27.9696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(7*r + 2*r - 4*r + 0*r - 2*r + 0*r + r - 2*r + 2*r + (-2 + 0 + 0)*(-r + 3*r - 3*r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*h + 14 = 11, 2*h + 6 = 0. Solve -f*u + 30 = -11*u - 5*p, 0 = -2*u + 3*p + 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4473094 or 4473095?\nAnswer: 4473095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -4\/3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.81 * -2.6.\nAnswer: -9.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/300 + 2393\/2100. Suppose 0 = -r + 5*l - 4 + 2, 0 = 4*r - 3*l - 9. Factor k*m**2 + 0 + 6\/7*m**r + 2\/7*m.\nAnswer: 2*m*(m + 1)*(3*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*l**3 + 3*l - 3*l.\nAnswer: -633*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 3*b**5\/20 + b**4\/12 + b**3\/6 - b**2\/2 - 22*b. Suppose -5*a + 5 = -0. Let p be (-1 - 1) + a*3. Give f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5127, 10822, 16683, 22794, 29239, 36102, 43467?\nAnswer: 51418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + q = 5*q - 567, 4*i = -3*q + 453. Suppose y = 5*c + 3*y - 184, 3*c + y = i. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26677123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-3*f**2 - 2*f**2 + 3*f**2) + 2*f**2 - 7*f**2 + 3*f**2 - 4 - f**2 + 4 + 6 + 95*f**2 - 7 + 323*f**2.\nAnswer: 419*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10409 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2466 and 7.\nAnswer: -17262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -98411?\nAnswer: 98411.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.52? (a) 13 (b) 0.0373 (c) -9\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -45*p**4 - 1735698*p**3 - 12263643*p**2 - 11222142*p - 694152 = 0.\nAnswer: -38564, -6, -1, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 + -111 - -122) + -124.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 399\/2*y**3 + 0*y + 441\/2*y**2 - 41\/2*y**4 + 1\/2*y**5.\nAnswer: y**2*(y - 21)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70044 and 8767174?\nAnswer: 52603044","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**3 + 541 - 538 + f**3 - 7*f**2 + 2*f. Let b be q(-3). Which is greater: b or -254?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 7 - 5 - 4. Let h be o(-2). What is the third derivative of -1 - 16*v**5 - v**5 + 20*v**h + 1 wrt v?\nAnswer: -1020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.806 (b) 0.03 (c) 17.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r - 3. Let q(j) = j**2 + j. Let w(t) = -n(t) + q(t). What is the units digit of w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(275).\nAnswer: -2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(2448)*2 + sqrt(2448))*4 + ((-1 + sqrt(2448) + sqrt(2448))*2 - (sqrt(2448) + sqrt(2448)*-2 + 0))*-3)**2*3.\nAnswer: -1296*sqrt(17) + 594876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/7)\/((h**(-4\/7)\/h)\/h))**(-4) assuming h is positive.\nAnswer: h**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104)*-2)*3 + (sqrt(104) + -4*sqrt(104))*-3 + sqrt(104))\/(sqrt(88)\/(sqrt(88)\/(3*sqrt(8)))*-3).\nAnswer: -7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.370361 litres to millilitres.\nAnswer: 2370.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1224*-237 + ((-4)\/(-10))\/((-3168)\/330).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167 by 2.\nAnswer: -167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - 1) + (-32 - -42) + 1517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1421 - 1424) + (-6)\/16*9 + 5?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/((-35)\/(-20)) - 2. Let r(a) = -a**2 - 3*a + 23. Let n be r(z). Solve -4*o - o = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 239.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*3\/8*4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (126\/315)\/(24\/(-45))*47536\/(-6).\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146246 (base 8) to base 2\nAnswer: 1100110010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 2*k. What is the remainder when 46 is divided by (4\/k)\/(1\/(-18))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*q + 6 = 0, -5*f - 113*q = -116*q + 41 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -16, 3, 22, 41?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 46. Let v be (-18)\/m*(-7)\/(-2). Suppose 2*h + 2*l + 1205 = v*h, 2*h = 3*l + 2405. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2754 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165.48 + -162. Let u = -5.7 + n. Let t = u + 0.22. What is the smallest value in 2\/5, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5324\/3 + -1774. Let d = 0.19 + 0.71. Is j greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -288 - -230. Let z = -2.58 + -53.97. Let v = z - y. Round v to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373670413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 2*r + j, -3*r = 5*j + 9. Suppose -2929192 = -r*a + 4070808. What is a rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 5, -41, -105, -187, -287, -405?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01236889 - -0.012622. What is b rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2956 or 2955?\nAnswer: 2955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*c - 57 = -7*c, -147*s - 2372 = 18*c - 22*c for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5971819161 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j + 4*r - 11, 3*r = -4*j + 69. What is the remainder when 69 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 40*y**3 - 84*y**2 - 5*y + 10. Let s(a) = -35*a**3 + 87*a**2 + 4*a - 8. Calculate 4*f(q) + 5*s(q).\nAnswer: -15*q**3 + 99*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -15*t - u - 3, -11*t - 6*t + 3*u + 0*u = -2*u + 47 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 - -0.120024. Let a = -1 - -1. Let f = a - h. Round f to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -894*s**2*v**4 + s**2*v**2 + 4*s**2 - 3483*s*v**6 - 15*v - 32726 wrt v.\nAnswer: -21456*s**2*v - 417960*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10136566 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15455689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 4*y)*(3 - 12 + 4) in the form c + k*y and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1185 + 21 - 936 = -100*a. Let z be 2 - (13 + (-5 - -2)). Sort 4, a, z.\nAnswer: z, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 12. Let z be x(-7). Suppose -6*l = r - z*l, -3*l - 2 = 2*r. Let p(h) = 400*h**3 + 3*h - 3. Is p(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -30. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 0 + 12 + -12 - -24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 1. Let k(c) = 3*c**4 - 4*c + 11. Let l(d) = -2*k(d) - 22*s(d). Find the second derivative of l(z) wrt z.\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine halves of a meter?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/5)\/3)\/(357\/105)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44420 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795980534 to the power of 1\/3, to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqvv. What is prob of picking 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 16. Let u = v - -2. Is u at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 7*z**2 + 8*z + 5. Let w be c(6). Suppose -f + 3 = -0*f. Solve 4*u + w = -5*j - 0*j, 0 = -f*u + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744 = -2*w - 10*w. Let d = w - -64. Solve -6 = -d*b - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvq when four letters picked without replacement from {v: 4, g: 6, q: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f - 2*f)*(1 + 2 - 4)*(f - 3*f - f).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zddkjkdzdkdkdddkjzk. Give prob of picking 2 z and 1 k.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p - 4*s + 8, 5*p + 2*s - 22 = 0. Suppose -5*r = -d + 43, 0 = -2*r + 2860 - 2876. Solve -4*v = 2*z + p, -2*z + d*v = -0*v - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 49*c - 221. Let t be j(5). Sort 3, -30, t in ascending order.\nAnswer: -30, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2.05, -6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 - 66 - (15 - 1) - 6) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -1.3. What is the third smallest value in 4, 6.3, -5\/3, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3106*p = -7*q + 3105*p - 24, 4*q - 2*p + 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = 2. Is (-552)\/(-21) + w\/7 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -29. Let y(z) = 2*z**2 + 27*z - 395. Let r be y(13). What is the greatest common divisor of d and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 908 = 4*l, -5*k = 2*l - 668 + 242. Calculate the remainder when l is divided by 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17, 38, 87, 176, 317, 522?\n\"Answer: 2*u**3 + 2*u**2 + u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*f**4 + f**2 + 42*f**3 + 1 - 43*f**3 - 36*f + 60*f - 33*f in the form i + k*f**2 + p*f + o*f**3 + c*f**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*s**2*x**5 - s**2 + 2*s*x**5 - 7*s*x**2 wrt x?\nAnswer: -1440*s**2*x**2 + 120*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2306*-0.093\nAnswer: 214.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*b**3 - b**2 - 49744 + 49744 to j*b**2 + x*b**3 + c + n*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(19\/3)*a))\/a*a*(a*(a\/a**(-12))\/a)\/a*a)**26 assuming a is positive.\nAnswer: a**(520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1383, -11114, -37525, -88956, -173747?\nAnswer: -300238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -12*t**3 - t**2 - t. What is c(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 9*t - 6*t. Let m(f) be the second derivative of f**6\/360 - 13*f**4\/4 + 15*f. Let x(o) be the third derivative of m(o). Calculate x(y(p)).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:41 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 375. What is the highest common factor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-12)*a*a*a**(2\/43)*a*a*(a**(-1))**(3\/5) assuming a is positive.\nAnswer: a**(-1839\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/1561 and 26\/223?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/9*(-621)\/6. Let d be (2\/(-6))\/(8\/j). Calculate the greatest common divisor of d and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 z when three letters picked without replacement from {f: 3, v: 1, r: 5, z: 1, q: 9}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 34*d**2 - 25*d - 427. What is x(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.5617l to millilitres.\nAnswer: 5561.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4898.69cm to micrometers.\nAnswer: 48986900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319159.\nAnswer: 319159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13210029?\nAnswer: 3, 7, 449, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 0.608439, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -29. Which is the nearest to -2\/3? (a) 4\/3 (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2145 + -932. What are the prime factors of j?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a704a (base 11) to base 6.\nAnswer: -10442452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*w + 18, w = -5*s + 3*w + 59. Let x = 18 - s. Is (-1)\/((14\/(-92))\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 + 9*v**2 - 4. Let w(c) = -1 + c**3 + 23*c**2 - 22*c**2 - c + 2*c. Let o(s) = r(s) - 4*w(s). Calculate o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.54 + 0.5. Let w = 0.04 + s. Which is the nearest to -2? (a) w (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -2\/3 (c) -1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 3*b**2 - b - 5. Let i be o(-3). Suppose -2*y = -2*m - 38, 6*y - 92 = 5*m + 2*y. Does 13 divide -1 - (m - (-1 - i))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -3)*2\/12. Which is the biggest value? (a) 6 (b) -2\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599 + 197 + 452*q**2 + 198 + 204.\nAnswer: 452*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2685302563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72954 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14205.\nAnswer: 3, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 291955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k**2 + 12*k + 109. Let j(s) = 30*s**2 + 22*s + 219. What is -6*j(y) + 11*z(y)?\nAnswer: -4*y**2 - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-840)\/204 - (-2 + -2). Put a, -5, 4, -0.22 in increasing order.\nAnswer: -5, -0.22, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(5\/((-270)\/(-6)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3 + 3)*(-x**4 + 2*x**3 - 2*x**3) + 11558*x**3 - 5714*x**3 + 2*x**5 + 2 - 5737*x**3.\nAnswer: -x**5 + 107*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 121404.\nAnswer: 121404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12210*w**6 - w**5 + 18*w**3 + w**2 + 30699797*w wrt w.\nAnswer: -1465200*w**3 - 60*w**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 3596.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 2}. Give prob of sequence wg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65071052 a multiple of 2213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.736 + -70180.\nAnswer: -70180.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 0.657017?\nAnswer: 9.855255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -842, -1794, -3128, -4844, -6942?\nAnswer: -9422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 2*d + d - 1. Let i(k) = -k - 12. Let x be i(-7). Let s be (5\/4)\/(x\/20). What is j(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 267 = -g + 2*g, -1321 = -5*g + 2*u. Let b(d) = -2*d**2 - 265 + g. Let r(h) be the first derivative of 43*h**2\/2 + h - 9. Give r(b(w)).\nAnswer: -86*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 1, m: 3, k: 3, x: 2, q: 1}. What is prob of sequence qk?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 7*m**2 + 2*m - 8*m**2 - 3*m**2 to the form k + w*m**2 + n*m and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397825793?\nAnswer: 3, 7, 13, 157, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b + b375?\nAnswer: b3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2869, 2876, 2883, 2890?\n\"Answer: 7*z + 2862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5784 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30093 or 1\/74?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k. Let j(x) = x**2 - 3*x - 3. Let n(s) = -3*s**2 + 8*s + 8. Let a(o) = -8*j(o) - 3*n(o). Determine v(a(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 4*m + 172. Let j = 61 + m. What is the greatest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Let n(d) = -d**2 - 8*d - 10. Let x be n(-4). Which is the third smallest value? (a) -1\/4 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 17. Let t be (35\/r)\/((-2)\/(-12)). Sort t, -7, 1, 4 in ascending order.\nAnswer: -7, 1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 33. Let z = 14 - d. Solve -4*t = -11 - z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 52*d - 278. What is v(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 4*v**2 - 3*v - 8. Calculate the remainder when 17 is divided by m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9055, -18356, -27683, -37036, -46415, -55820?\nAnswer: -65251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, f: 1, a: 1, l: 4, c: 4}. Give prob of picking 1 g and 1 c.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and 274.\nAnswer: 25482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5343584*b**6 + b**2 - 184830*b + 9?\nAnswer: -641230080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242462 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 3 = 0. Let y be (-2)\/4 + (-2)\/4. Let a = y - o. Solve -2*q - 2*b = a, 0*q - 4*q - b - 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 12 - 3 = 0. Let t(r) = 5*r**3 + 9*r + 7*r**3 - 9 - 5*r**z. Let f(u) = -3*u**3 - 4*u + 4. What is -9*f(s) - 4*t(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -11, -12.7, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/315 - s**6\/30 + s**5\/10 - 1134*s**2 - 2*s. Suppose x(o) = 0. What is o?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = -2*j, 2*j + 3*j = -2*k - 19. Factor 32*g**3 - 29*g**k + 4*g**2 + 8*g**2.\nAnswer: 3*g**2*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 96273 = -4*s, -4*s + 15*i + 96252 = 11*i. List the prime factors of s.\nAnswer: 2, 5, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7*p**4 + 6)*(-p + p - p)*(-4 - 4 + 5).\nAnswer: 21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/184*(-58)\/(-522)*6\/16*-1?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*i + 19\/4*i**2 + 1\/2*i**3 - 1377\/4.\nAnswer: (i + 9)**2*(2*i - 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28697 or -28639?\nAnswer: -28697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 60. Find the third derivative of -4*d**2 - 30*d**5 + c*d**5 + 0*d**2 wrt d.\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1152) + 2*sqrt(1152) + sqrt(1152))**2.\nAnswer: 960*sqrt(2) + 18457","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, l: 1, p: 2, e: 4, i: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbd when three letters picked without replacement from hdbhbhhhhhd.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12807 + -6414. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 6*x + 2. Let g be r(-5). Is 38 - g*3\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-16) + (-3)\/4. Let u be (3\/6)\/(2\/16). Let d be w\/4 - 274\/u. Round d to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 65*l**3 + 6220*l**2 + 76335*l - 82620 = 0. What is l?\nAnswer: -81, -204\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**6\/150 - q**5\/5 + 8*q**4\/5 - 88*q**3\/15 + 78*q**2. Factor d(g).\nAnswer: 4*(g - 11)*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -3625, -12 in ascending order.\nAnswer: -3625, -12, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/20 + j**5\/12 - 13*j**2. What is the third derivative of b(n) wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2 + 4*s**2 + 8*s - 3 - 2. Let x be a(8). Is -5 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (7 - -1) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*g**4 + 46*g**4 - 80*g**4)*(4*g + 5*g - 6*g).\nAnswer: 669*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 2. Let s(k) = -k + 6. Let p be (-2)\/((-3)\/(6*1)). Let a be s(p). Suppose 3*l - 4 - a = 0. Calculate v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -26?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -31*v**2 - 160*v - 20. Let h be m(-5). Solve -5*o = -2*i + 35, -h*i + 4*o + 66 - 21 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14509 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5.6 (b) 4 (c) -2 (d) -0.1 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/3 - 1792*h**3\/3 - 7144*h**2\/3 - 7136*h\/3 = 0.\nAnswer: -892, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 + 5*z - 55. Let q(r) = r**2 - 2*r + 28. What is 2*p(s) + 5*q(s)?\nAnswer: -s**2 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/1803 in -2\/3, 1, -15.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v - 3*v + 5*v)*(v + 0*v + v) - 1 + 1 - 2*v**2)*(2*v + 203 - 92 - 142).\nAnswer: -8*v**3 + 124*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a239 + -5?\nAnswer: 11a234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-95) - (-442)\/(-4446).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 679 and 970.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + b**2 - 9 + 0*b**2 + 53 to the form i*b + r + x*b**2 and give r.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-1 - 1 - 0). Let x be 21\/k - 2\/(-4). Suppose -x*j = -95 + 27. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z + 6. Calculate r(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 2*m**2 - 2. Suppose 4*j + 2*x + 20 = 0, 2*x + x + 18 = -3*j. Let l be i(j). Suppose -3*u + l = -0*u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*o + 7*o - 12*o to l*o + k and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 8.16823.\nAnswer: -2.450469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j + 15. What is the units digit of x(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -178, -154, -110, -40, 62, 202?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u - 510. Give w(10).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10398391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019744293.\nAnswer: 137, 7443389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*v = -121*v - 2703. Let a = v - 490. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.14328 to one decimal place.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + o = -119, 2*p = -p - 3*o + 108. Let q = 35 - p. Let a be (-56)\/(-30) + q + -6. Is -1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*s + 24 = 2*s, -4*v - s + 9 = 0. Calculate the common denominator of -71\/10 and 1212\/(-40)*(-1)\/v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33669716 divided by 4.\nAnswer: 8417429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612799?\nAnswer: 11, 17, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -4)\/(2\/3). Let f = n + 5. Find the first derivative of r**3 + 0*r**3 + 0 - f wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*g = -3427, -1465*n - 3397 = -1463*n + g. Are -1702 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(209)\/(sqrt(11) - sqrt(275)) + -4 + sqrt(38)\/((sqrt(44)\/sqrt(2))\/sqrt(11)) + -1.\nAnswer: -5 + 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6 + 2 + 3*s + 5. Let y be x(6). Calculate the greatest common factor of y and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1191 - 50186104\nAnswer: -50184913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225 - -225. Suppose -7*s - 12*s + 19171 = n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**3)**(-19))**(-1\/18)\/((y*y**(-1\/7)\/y)\/((y**(-2\/11)*y)\/y)*(y**1)**12) assuming y is positive.\nAnswer: y**(-5417\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/5 (c) 2\/13 (d) 12 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/877105 or -2\/3?\nAnswer: 8\/877105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.91 + 4.8. Let m = 43.11 + t. Let g = 44.027 - m. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32636*x + 29113 wrt x.\nAnswer: 32636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 9*o - 1083 = 611. Calculate the greatest common divisor of 10087 and o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*(-7)\/(84\/(-30))*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 1, o: 1, i: 2, e: 3, s: 5}. What is prob of picking 1 v and 1 q?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115539455 and 4360?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 - 7*a - 4. Let d(c) = 13*c**2 - 28*c - 15. Let k(x) = -2*d(x) + 9*q(x). Determine k(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 3*v - 18 - 18*v**2 + 15*v**2.\nAnswer: -3*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5682 + 5670 + -18 + -1 + 2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(418)\/(sqrt(55)\/sqrt(5)))\/((sqrt(72) - (3*sqrt(72) - sqrt(72))) + sqrt(72) + sqrt(72)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -0*d - 2*d. Suppose -2*o = -3*t + 445, -3*o + 502 - d = 3*t. Suppose -4*c + 3*c = 3*l - 41, -5*l - t = -5*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*t, 3*p - 2*t - 41 = 30. What is the highest common factor of 2714 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/((-629)\/(-153)) - 11)*14?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4517880 and 54.\nAnswer: 40660920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + l - 4. Let j be d(-3). Let g be ((-1)\/(1\/j))\/(-1). Suppose 5*o + 0*m + 5*m - 80 = 0, 8 = g*m. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*x + 3*w, 2*x - 4*w + 12 = -6. Let y = 6443\/536 - -7\/67. Calculate the common denominator of (-2)\/x - 670\/(-56) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419363155 + 1419363155 - 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 2*h**2 + 2*h - 4. What is c(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -241.297 + 0.297. Let b = f - -241.1. Does 0.127 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= 901.64092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931430 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 11 = -0*b + 4*b, 5*p = -3*b + 1. Suppose 616 = b*x - 2*n - 6814, -2*x - 2*n + 7422 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 16*z - 3*h - 557 = -473, -3*h - 9 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 d when three letters picked without replacement from {s: 7, g: 2, d: 11}?\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1284)\/(-963))\/(4\/(-6))*18\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 74*p\/3 - 1369\/3.\nAnswer: -(p + 37)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/11 (b) 1\/16 (c) 3660\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17515, -17520, -17525, -17530, -17535, -17540?\nAnswer: -17545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14743499?\nAnswer: 14743499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, y: 14, r: 2, m: 1, g: 2}. Give prob of sequence ry.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -4 (c) -1 (d) -3 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 362 = 11*x - 16. What is the remainder when 236 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1710 = -5*l + 1725. Solve -l*a + 10 = 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Let y(v) = 1. Let j(q) = q + 2. Calculate p*y(o) + 2*j(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 59*h**2 - 5*h - 4. Let r be a(-1). Calculate the highest common divisor of r and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1236 + -1158. Solve -75*u = -n*u + 18 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 10*g - 10. Let s be i(-3). Let q(v) be the third derivative of -v**5\/60 - 5*v**4\/24 - 4*v**2. Let k be q(-5). Solve k = r + s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39603293 to the power of 1\/2, to the nearest integer?\nAnswer: 6293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Let s be w(1). Suppose -s = q - 14. Suppose -3*d - q = 0, -4*y + 0*d + 28 = -4*d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -111110111111011?\nAnswer: 111110111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -335 or -21776\/65?\nAnswer: -21776\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 1185?\nAnswer: 13035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 8*k + 9. Let j be f(9). Suppose -4 + 28 = 4*x - 4*b, 2*x + b - 3 = j. Is (-3)\/x*-47*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 94*w + 1094. Give s(21).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -102120011002101 (base 3) to base 9\nAnswer: -12504071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + -4 + (-2 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -195296.245.\nAnswer: -195299.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*h = 2*h. Let n be -2*(-2)\/(-4) - (-13 + h). Which is bigger: n or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3174595, -12698370, -28571327, -50793466, -79364787, -114285290?\n\"Answer: -3174591*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.17 + -0.07. Which is bigger: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1580 and 1078961144.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 bigger than -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*x**4 + 160*x**3 - 95*x**2 + 15*x = 0. Calculate x.\nAnswer: 0, 1\/4, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -26.548?\nAnswer: -28.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42*-8*(-3)\/48. Find the common denominator of 21\/11 and 1 + (-28)\/s - (-185)\/380.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6665 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/238)\/((-126)\/7350).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 49489.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 212 = 6*v. Let b = 108 - v. Let x = b + 13. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15227.\nAnswer: 15227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.97283489 + 0.2?\nAnswer: 4.17283489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvyyjvop. Give prob of sequence yj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*s + 7, -3*s = -2*g - 2*g - 1. Let r be 40*g*1\/(-2). Suppose 40*f = 26*f + 112. Calculate the greatest common factor of f and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-381 + 381 - (0 - 7)) + 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2037 and 4150727?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2750 (b) 42 (c) 2\/9 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 548\/2740*(-10)\/(-72). Let t(k) be the third derivative of -2\/27*k**3 - 1\/270*k**5 - k - f*k**4 - 3*k**2 + 0. Factor t(l).\nAnswer: -2*(l + 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Solve 3*x + 22 = 4*u, v*u - u - 14 = 3*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/4*(-6)\/(-21). Suppose 2*p + 2*h = -p - 17, -3*p + 3*h = 12. Put p, q, -6 in descending order.\nAnswer: q, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53339 and 1859?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8494 is divided by ((-29)\/(-2) + 3\/12)*(218 + -214).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 16. Let c(j) = -j + 0*j + a - 1 - 2 + j**2. Let p(h) be the second derivative of h**4\/3 - h**3 + 2*h**2 - 3*h. Give -6*c(x) + p(x).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.12 - -10.1. Let m be (-2)\/(3\/((-18)\/(-8))). Let b = -23\/50 - -24\/25. Sort m, k, -0.5, b in ascending order.\nAnswer: m, -0.5, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i**3 + 154*i**2 + 30*i - 57. Let x(z) = -2*z**3 + 51*z**2 + 10*z - 21. What is -3*t(w) + 8*x(w)?\nAnswer: -w**3 - 54*w**2 - 10*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16508, -16599, -16772, -17045, -17436, -17963?\n\"Answer: -3*l**3 - 23*l**2 - l - 16481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*v - 49 = 150*v. What is the units digit of (v\/14)\/((-2)\/1156) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*c = 10, -n - 48*c = -45*c + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 212 times 12.9\nAnswer: 2734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -174 + 166. Solve y*i - 1 - 7 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 44421, 0, -1, -2, 3 in decreasing order.\nAnswer: 44421, 5, 3, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 7. Let z = -21 - n. Factor -j**3 + 2*j**5 + 20*j**4 - 2*j + j**3 - 4*j**2 - z*j**4.\nAnswer: 2*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 20*n**5 + 0*n + 19*n**5 - n.\nAnswer: -n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a7850 (base 12) to base 3.\nAnswer: 1211010200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 158. Let v be -75*(-9)\/(g\/(-15200)). Round v to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4050\/7 - 16\/7*d**3 + 2\/7*d**4 - 148\/7*d**2 + 720\/7*d.\nAnswer: 2*(d - 9)**2*(d + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.8591um to nanometers.\nAnswer: 780859.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 4*r - 2. Let t be (2 + 2 + -3)*1. Let y be x(t). Suppose -y*m = -388 - 68. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 461*v + 111194. Determine m(-241).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3400873 and 74?\nAnswer: 251664602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.74 times 1?\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1184*o**3 - 16*o**2 + o + 6240.\nAnswer: 7104*o - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 9, 5, -11, -45, -103, -191, -315?\n\"Answer: -c**3 + 3*c**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**38)**(1\/29) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4568322, 4568303, 4568270, 4568223, 4568162, 4568087?\nAnswer: 4567998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 - -5.08. Let l = -0.6 - -0.6. Let h = l - 1. What is the closest to 0 in -1\/10, c, h?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000855266153 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(5\/2) + 23\/(414\/(-90))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115325 is divided by 18041?\nAnswer: 7079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/37))\/z*z**(-4\/3))\/(z**(-8\/13)*z*z*z**(2\/43)\/z) assuming z is positive.\nAnswer: z**(-106129\/62049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:13 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/30 + 7*p**4\/12 + 2*p**3 - 10*p**2. Let j be f(-9). What is the common denominator of ((-24)\/(-4))\/(j\/99) and -39\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 + 11*x + 5. Let c(b) = -2*b**2 - 5*b - 2. Let r(w) = -2*w**3 - 4*w**2 + 6*w + 21. Let m be r(-2). Calculate m*c(t) + 4*s(t).\nAnswer: 2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 14 = 2*b. Let p = -41 - -46. Suppose -i - 3 = -h + 1, p*i = -5*h - 30. Sort i, b, -16, 1 in decreasing order.\nAnswer: 1, b, i, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/54)\/((-1)\/(-6)). Let f = -147 + -51.5. Let l = 198 + f. What is the third smallest value in i, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((8\/(-20))\/(8\/5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.5000619 + -12.5. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Let x = 6.3 - 1.3. Let m = x - f. Which is the second smallest value? (a) 0 (b) m (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10888630236 plus 56291?\nAnswer: 10888686527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.73 (b) -353\/3 (c) -4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -4*f - 0*f, 2*j + 5 = 3*f. What is the third derivative of 2*g**j - g**3 - 6 + 6 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 16. Let c be u(17). Let i be c - 2944\/(-22) - (-16)\/88. Suppose 0 = 3*v - 2*v - i. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -0.0864.\nAnswer: -1.1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5279 or 5280?\nAnswer: 5279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p**2 + 9*p**2 + 3*p**3 - 2612*p - 4 + 2616*p. What is a(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.8296 and 3946.692767.\nAnswer: 3944.863167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - g + 12. Let f be -4*(27\/(-6) - -4). Suppose d - 2 = -f. Give w(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l = -730. Let g = 79 + l. Suppose 5*a - g = -5*r, -r - r + 231 = 5*a. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2343*b - 6844 - 3627 = 5214*b + 4643 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*m - 124*m - 335 = 0. Calculate the greatest common factor of 469 and m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -16*h**2 - 216*h - 3. Calculate z(-14).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -3\/4 (c) 75\/316 (d) -0.2 (e) 67 (f) 1 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -22 (c) 4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -4*(-10)\/(-4). Solve m + u = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksycyksascacakys. Give prob of sequence ks.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p**2 - p + 3. Let a be i(3). Is 11 a factor of (a\/12)\/(2\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132640589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -10*y + 0*y**3 - 37\/2*y**2 + 0 - 11\/12*y**4. What is the derivative of m(t) wrt t?\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7132 and 102996778?\nAnswer: 3566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2324.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-1)*(-15)\/(-840)*-8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/1009 + 65639\/54486. Calculate the common denominator of o and -1\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-5\/9))**(-5\/6) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 45.951. Let a = 3.951 + b. Is a bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/2 - 11*o**3\/3 - 2*o**2 + 5*o + 32. Solve v(u) = 0 for u.\nAnswer: -5, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 2295\/1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109\/(25070\/(-3772)) - (-4 + 2 + -17).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248362 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -9*h + 416. Let q = -24 - h. Suppose -317 = -f + q*i, -7*i - 1585 = -5*f - 8*i. Does 48 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224325 and 66825?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091 times -0.927?\nAnswer: 0.084357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 + -1) - 1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2755 is divided by 630.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Suppose 2*s = -4*v - s + 14, 18 = h*v - 4*s. Let x = -5 + v. Solve x = 3*p - 11 - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -764.28901 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6)*1)\/(-4*sqrt(75)) + -2 + ((-1*sqrt(162))**2 - sqrt(162)) + -4 + 4.\nAnswer: -179*sqrt(2)\/20 + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2954003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*8\/14)\/(24\/(-28))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102507 is divided by 255.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.691 - 1.691. What is the nearest to 1.82 in q, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/(-126))\/((-1 - -2)\/(-1)). What is the nearest to v in 0.219, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1690.95 - 1616. Let p = -41 + 116. Let r = f - p. What is the closest to 2 in -1\/3, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1494 and -9\/2822.\nAnswer: 25398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154026469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/(j\/(j*j**(-6))))*j)\/j*j**1\/j)\/(j**(-7)*j**(-4)))\/(j**2*(j\/j**(-2\/19))\/j)**10 assuming j is positive.\nAnswer: j**(-58\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.03, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25331 and 262946.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f - 24 = 0. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/12 + k**3\/6 - k**2 - 1. Let a(w) be the second derivative of g(w). Differentiate a(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.102, 18\/77, 246 in descending order.\nAnswer: 246, 18\/77, -0.102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134 - 143 + 3*i - i**2 + 307 - 10*i to the form h*i + s*i**2 + q and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8622\/234 + 2\/13. Suppose -8*h + x = -3. Let z(q) = q**3 - 4*q**2 - 4*q + 7. Let m be z(h). Solve 0*o + m = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-3)\/3*(-29)\/((-2436)\/532).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 0)*(-128)\/24. Suppose u = -2*z + 8, -4*z + n = 2*u - 3*u. Suppose z*m = -18728 - 30072. What is m rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28261 - -28264. Solve -y = i - q, 4*i + 8*y = 3*y + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -699, -1411, -2135, -2871, -3619, -4379?\n\"Answer: -6*v**2 - 694*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33023704.\nAnswer: 2, 7, 47, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/7)\/p)\/(p\/p**(-2\/5)))\/(p**(-2\/7)\/p*p*(p**(-7)\/p*p)\/p) assuming p is positive.\nAnswer: p**(201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/175 + -181\/525. Suppose -l + 18 = 5*u + 22, 0 = -3*l + 5*u + 48. Put l, 1, 2\/9, v in decreasing order.\nAnswer: l, 1, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*y**2 - y**3 + 2*y**3 - 1279*y + 232*y**2 - 688*y**2 + 229*y**2.\nAnswer: y**3 - 1279*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-206388)\/7056*16\/(-9)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 - 134*s + 24834. Calculate o(-116).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 34.83?\nAnswer: 6.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -61162353.7 plus -93?\nAnswer: -61162446.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 188 + 155. Calculate the remainder when 12 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:19 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(0 - (3 - -124)). Let l = w + 74. Let j = l + 60. What is the least common multiple of 143 and j?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - -0.01. Let t = h - 0.2. Which is the third smallest value? (a) t (b) 1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h**2 + 17*h**2 + h + 1 - 26*h**2 to q*h**2 + b*h + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 2)*(156 - 479 + 35*b + 12) as c*b + q and give q.\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3904013 to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 68*n - 1156.\nAnswer: -(n - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - (-130 + 135).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 22781 = -i - 2906, 14910 = 3*f - 3*i. What is the remainder when f is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/3)*b)**(1\/21)*(b**(2\/9)\/b)\/b**(6\/7)*(b**0)**(-17\/3)*(b**(-1))**(-10\/13) assuming b is positive.\nAnswer: b**(-605\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 91 + 67 = 3*l, -3*l + 6 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.7967407017 and 0.01?\nAnswer: 3.8067407017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 - s + 10. What is the lowest common multiple of 4 and n(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -157*j + 7. Let l(z) = -79*z + 4. Determine 3*a(f) - 5*l(f).\nAnswer: -76*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2341813261?\nAnswer: 919, 2548219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 18. Suppose f*s - 18 = 9. Suppose -s*z + 99 = 8*z. Solve z = 6*x - 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 1\/3, 14, 228?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 480403*a**5*x - 2*a**2 - 10941*a - 2*x - 3 wrt a?\nAnswer: 28824180*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 4)*(-2 - 3 + 3)*(-36*h**3 + 19*h**3 - 22*h**3) + (2*h**2 + 1 - 1)*(4*h - h - h).\nAnswer: -776*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.4 + -6.4. Let n be (-1)\/3*(0 + -1). Which is the nearest to n? (a) l (b) -1\/3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5216175 + -5?\nAnswer: 5216170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 1913*d**3 + 0*d**2 - 2*d**2 - 17 - 125*d**3 to the form g*d**2 + p + f*d + r*d**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 20*p**2 + 16*p + 29. Let g be i(-19). Let s = g + -75. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -7. Let s = z - -7.0067. Round s to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 4. Suppose -4*z + 2*z + 6 = 0. Suppose 0 = 2*a + 3*h + 3 - 13, 0 = 3*a - 5*h + 4. Suppose 0 = 4*c + 2*b + a, 8*c + 1 = z*c - b. Determine r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q + 135. Let s be (-28)\/(-6)*q\/(-18). What is the remainder when 26 is divided by 1*s\/(-2)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 42 = -2*n - 2*o, 2*n - 2*o - 54 = 0. Let m(r) = -2*r + 48. Let a be m(n). Suppose a = b - 643 - 37. What is b rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32111131 (base 4) to base 9.\nAnswer: 88481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392029 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {b: 1, c: 2, k: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 - k - 1. Suppose 0 = -5*g - 10 + 30. Suppose g = -a - 0. Is u(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:15 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -277860600 to the nearest one million.\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 2*d + 4. Let a be j(-3). Suppose 2*l + a = 5*k + 7, 4*l = k + 12. Suppose -l*x = -x - 14. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))\/a**(-2)*a**3*a\/a**(6\/13)*a)**(1\/17) assuming a is positive.\nAnswer: a**(111\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -34*r**2 + 545*r + 12. Give f(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 133, 6, -6, 1, -2, -4.\nAnswer: -6, -4, -2, 1, 6, 42, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7343.072 years in millennia?\nAnswer: 7.343072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - r = -3*g + 19, 5*r - 31 = -3*g. Let n(k) = 4*k + 9. Let a(z) = 2*z + 4. What is g*a(u) - 3*n(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t + 241. Let w be g(24). Suppose 3*i - 40 + 13 = 0. Let d(l) = 3*l - 3. Let y be d(i). Solve -3*k - 59 + y = -4*m, 0 = 5*m - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-6))\/((-2)\/6). Suppose -q*f = f - 21. Solve i + 1 + f = -3*j, 6 = -3*i for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 7. Suppose 0 = 3*j - 31 + 10. Let p be x(j). Is 50 + 1 - p\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.04 - 1.96. Let u = -0.07 + -0.03. Suppose 4*p = 5*z + p - 10, 0 = p. Which is the nearest to 0? (a) h (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-144))\/((-20)\/12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -2016.\nAnswer: 5\/672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*i - 247, 0*o - 3*o = -i - 232. Suppose -5*y + 1 = -o. Let r(a) = a**2 + 6*a + 10. What is the smallest common multiple of y and r(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339 - 1608\/5. Let d be 1\/((-10)\/(-4)) + (-18308)\/1035. Let t = d + n. What is the third biggest value in -1\/3, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfefjjfjjffffffjjf. Give prob of sequence eff.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35658*x = 35787*x + 3741 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 20. Let k be z(-16). Let g = k + 40. What is the greatest common divisor of g and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53.27 + 53. Let p = g - -0.37. Sort 5\/4, p, 3 in decreasing order.\nAnswer: 3, 5\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i + 463. Let x(n) = -3*n + 308. Let c(q) = 5*r(q) - 8*x(q). Let h(l) = 5*l**2. What is c(h(b))?\nAnswer: -5*b**2 - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 9 + -6 + 8 + -3 - -2) + -38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -790 divided by -5?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 12 = -4*i, -2*i + z = -z + 6. Suppose 0 = -m + 2 - 3. Let g = -6 - m. Which is the closest to 1\/4? (a) 1\/5 (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 + 4)*21 - 0. Let b = 972 + v. Calculate the highest common divisor of b and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2400731 is divided by 240073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = -t - 115, 3*t + 37 = h. What is the hundreds digit of h\/3*300\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 + 2*u - 4. Let z(c) = -9*c**2 + 7*c - 9. Let r(v) = -4*v**2 + 3*v - 4. Let f(h) = -5*r(h) + 2*z(h). Determine -3*b(w) - 7*f(w).\nAnswer: w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 24 = -2*d. Let r(j) = j - 12. Let u be r(d). What is the smallest value in 0.1, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-10)*40\/(-6). Let t be (15\/9)\/((-1)\/(-3)). Suppose -t*b = 2*u - 14, 4*b - 7*b + d = -4*u. Solve -4*l = -6*l - b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418592782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 25323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 13 + 0 + 3*a)*(-1 + 0 + 0 + (1 - 1 + 2)*(-1 + 2 - 3)).\nAnswer: 5*a + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3588, -3607, -3638, -3681?\n\"Answer: -6*i**2 - i - 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 60?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 989 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1604 and 29\/33048.\nAnswer: 13252248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let g(s) = 129*s - 9. Let c(t) = 120*t - 8. Let b(h) = 6*c(h) - 5*g(h). Determine b(d(i)).\nAnswer: -75*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47391 is divided by 173.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151311 and 837?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2 + 8074*v - 6341784 = 0?\nAnswer: 1068, 2969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.56 + -0.16. Let b be (2 - -1) + (-50)\/16. Let l = -1.25 + 0.75. Sort n, b, l in ascending order.\nAnswer: l, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 25 = 0, 3*x - 6755 = 5*j + 2562. Suppose 3*b - z - 4198 + 1087 = 0, -x = -3*b + 2*z. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1242*g**2 + 10579*g wrt g?\nAnswer: -2484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = -68. Let n = d - 12. Suppose -3*s - 4*w = 2, -s - w = -n*s + 10. Solve -s*p - 3*p = 2*k - 5, 20 = 4*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 359321316 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25627 divided by 2?\nAnswer: 25627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-30)\/(-12))\/((-25)\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -155321799, -155321796, -155321793?\n\"Answer: 3*z - 155321802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.031? (a) 0.5 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 3*s**3 - 7*s**3)*(2923*s + 67*s**2 - 2923*s).\nAnswer: -335*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1188 and 1122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -384.302 + -158574877\nAnswer: -158575261.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 7*l - 16. Let i = -16906 - -16899. Let b(v) = -v**2 - 4*v + 8. Determine i*b(k) - 4*h(k).\nAnswer: -k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 508*k**2*z**2 + 13*k**2*z + 4*k**2 - 9*k*z**2 - 2*k + 62*z**2 + 1503*z wrt z.\nAnswer: 1016*k**2 - 18*k + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011001111100100001 (base 2) to base 3.\nAnswer: 2011200011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/200 + a**5\/20 - 13*a**4\/40 + 7*a**3\/10 + 8*a**2. Solve c(h) = 0 for h.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 23\/4028040?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 10*n + 54. Let l be n\/(-4) + (-17)\/(-34). What is the remainder when 14 is divided by (l - -7) + -2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 4*x - 49. Suppose 16 = 3*t - 38. What is the remainder when y(-8) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Sort 2, g, -1.\nAnswer: g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 10:15 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5384 + 958*p**2 + 5384 + 28991*p**2 to the form y + t*p**2 + j*p and give t.\nAnswer: 29949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 5*w**3\/3 + 5*w**2 + 5*w - 7. Suppose b(c) = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 11*r = 2 + 238 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48585 and 14760.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 31619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6804 and 510300.\nAnswer: 510300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 2, o: 6, r: 3}. Give prob of sequence rtot.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2, -8*x - 153 = -10*x - 5*d. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((20\/35)\/(24\/(-168)))*(-24)\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**50*t**(-2\/7)\/((t**(1\/2)\/t)\/t*t) assuming t is positive.\nAnswer: t**(-697\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 46773 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -1\/8, 0.3, 1\/12, 459?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -404.23 - 1.1833\nAnswer: -405.4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 2*z**2 - 1\/12*z**4 + 0 + 0*z**3 + 0*z. Let f(g) = 2*g**2. Determine f(v(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -538, 71, 3, -1 in ascending order.\nAnswer: -538, -2, -1, 3, 8, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 2*t + t)*(13*t**2 - 85 + 85) - 5*t**3 - 2*t**3 + 5*t**3 in the form r*t**3 + o*t**2 + q*t + c and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0446 minus 686291.2705?\nAnswer: -686291.2259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5 - 4\/5*d + 2\/5*d**2 = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 53*z**2 - 9*z - 1. Let n(b) = -16*b. Give y(n(l)).\nAnswer: 13568*l**2 + 144*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -632045*-0.2.\nAnswer: 126409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/2 - 10*k**2 - 10*k. What are the prime factors of y(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1787301 + 1777036.21. Let r = -10256.68843 - d. Let x = r - 8.1. What is x rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20924902*h*o**3 - 2080544*h*o + h wrt o.\nAnswer: 125549412*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 3*t - t)*(-17 - 21 - 3 - 12)*(2 - 11 + 2) to a*t + h and give a.\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aja when three letters picked without replacement from jjjajjjjjjaj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/35 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*n = -0*o, -n = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -356, -796, -1412, -2204, -3172, -4316?\nAnswer: -5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(14)*2*-4)\/(6*(sqrt(1008) + sqrt(1008)*-2)).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 13*p + 56. Determine x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6816299358 to the nearest integer?\nAnswer: 82561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (156\/16)\/((-1)\/(-4)). Let x be ((-272)\/10 - -4)*(-10)\/(-6). Let j = x + r. What is the biggest value in -2, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0 + l**2 + 1\/6*l**3 - 2*l. Determine h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -12\/11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - (-113 + 29)) + -26.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(2\/(-42)*-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**4 + 3*c**3 + 3*c**2 - 3*c. Let d(k) = 3*k**4 - 7*k**3 - 5*k**2 + 7*k. Let z(j) = -3*d(j) - 7*n(j). What is the third derivative of z(b) wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 151 - 221. Let x(a) = -6*a - i*a + 10*a + 8*a. Let z(c) = -8*c. Calculate z(x(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j + 6, -4*q = -4*j - 44. Let m be q*(-2)\/((-32)\/(-28)). Let y = m + 39. Solve 0 = -2*b, 2*b = -5*z - b - y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 24 + 21*z + 47 - 12 - 2*z - 9.\nAnswer: 14*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -43915?\nAnswer: 43903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6) - 700\/(-6). Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(-420)\/(-35). Suppose -5*j + 0*k + 4*k = -r, -6 = -j - 4*k. Solve -j*v = -n - 5, 8 = -n - n + 2*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4768, -18642, -41700, -73942, -115368?\n\"Answer: -4592*u**2 - 98*u - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -419970604 divided by -61\nAnswer: 6884764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 41*w**3 - w**2 + 7*w + 7. Let z be o(-2). Let h = 932 + z. List the prime factors of h.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 61*q**2 + 180*q - 343. Calculate u(58).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1063487117*d**4 - 567441846.\nAnswer: -4253948468*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y. Let f be (1 + 1)*(-3)\/(-6). Let g(b) = -b**2 - 2*b. Let l(q) = q**2 - q - 10. Let o be l(-3). Determine f*g(j) + o*i(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.1, -9, -4\/3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/14 + (-12)\/42 + -1. Let d(c) = -8*c**k + 2*c**2 + 4*c**2. Let f(g) = -10*g**2. Determine f(d(y)).\nAnswer: -40*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 124, 489, 1098, 1951, 3048, 4389, 5974?\n\"Answer: 122*a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - 4) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 48*z**2 + 2*z - 1. Suppose -6*k = -30 + 12. Suppose k*w = 4*a + 3, -2*w + a + 2*a + 2 = 0. What is the remainder when c(w) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4004123 is divided by 567?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**3 + 797*t**2 + 83*t**3 - 29*t**3 - 797*t**2 - 27*t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1732, 1803, 1936, 2131, 2388, 2707?\nAnswer: 3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**4 - 9*f**3 + 16*f**2 + 3. Let x(l) = 3*l**4 + 4*l**3 - 7*l**2 - 2. Let k(i) = 9*x(i) + 4*y(i). Find the third derivative of k(o) wrt o.\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**5\/140 - g**4\/7 + 65*g**3\/14 + 1369*g**2. Factor w(c).\nAnswer: -3*(c - 5)*(c + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 42. Let f(m) = 4*m**2 - 5 + 2 - 3*m**2 - 6*m. Is 4 a factor of f(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18*u + 117. Let c be a(4). Which is bigger: c or 36?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0, -0.09, 321?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 12 - 44. Let r(j) = -j**3 + 16*j**2 - 5*j + 36. Let p be r(a). Let t = 64 + p. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:34 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - -7. Let u = z + -9. Suppose -u = -2*h + 3. Solve 0 = -5*x - h - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from szlhhwhhvssh.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 676 or 675?\nAnswer: 675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51002813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3)\/((n*(n*(n\/n**(-2\/5))\/n*n)\/n*n)\/n))\/(n**2\/n**5))**(16\/7))**(1\/65) assuming n is positive.\nAnswer: n**(-192\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 228091285 divided by -5?\nAnswer: -45618257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18089 = -34*s - 18191 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17313 is divided by 211?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16b + -1?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1353 and 1.08.\nAnswer: -1461.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 302797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*f = -31, -8*k + 85*f = 89*f + 60 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4159368.4 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 60839?\nAnswer: -60828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a micrometer in nanometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:07 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -65, 16, 179, 448, 847, 1400, 2131?\n\"Answer: 4*a**3 + 17*a**2 + 2*a - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-8)\/(-32))\/((-7)\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, g: 14, y: 2, f: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-18)*3*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15034223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let c = 248.7 + -249. Put c, f, -4, 0 in descending order.\nAnswer: 0, c, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1246138 millimeters in kilometers?\nAnswer: 0.0000001246138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k - 7. Let f(s) = -s + 1. Let x(y) = -b(y) + 2*f(y). Let d(q) = -3*q - 5. Suppose 266*o + 285*o = 491*o + 300. Calculate o*d(g) + 3*x(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095.6 - -7718?\nAnswer: 8813.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 4450902?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/7 + 10*x**4\/7 - 2*x**3 - 2*x**2\/7 + 16*x\/7 - 8\/7 = 0. What is x?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2181697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -355?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 101 + 9 + n**3.\nAnswer: 4*n**3 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*c**3 + 422*c + 17*c**3 - 64 - 414*c wrt c?\nAnswer: -45*c**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25\/2 - -12. Let i = -3.561 - -3.711. Which is the second smallest value? (a) -1 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 3*k**2 + 3. Let j(b) = -9*b**3 + 7*b**2 - 5. Let t(f) = -5*a(f) - 3*j(f). What is the third derivative of t(w) wrt w?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(1900)*2 + 5) + 5 + (sqrt(1900) - -2*sqrt(1900))*-1 + -4 + -1)**2.\nAnswer: 200*sqrt(19) + 2005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 155, 6, -213, -508?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -2 + 104 + (-7 - 95)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + z - 4. Let c be f(0). Let i be ((-114)\/c)\/((-6)\/(-800)). What is i rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 5. Let t be q(-5). Suppose 2*h + 0*h + 18 = t. What are the prime factors of (-3)\/9 - 21\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5219, 5205, 5193, 5183, 5175?\n\"Answer: u**2 - 17*u + 5235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19125)\/20)\/(-15)*13\/((-312)\/(-32)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -905559*w**3 - 1005*w**2 - w - 172 wrt w?\nAnswer: -5433354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2\/5, -11\/4, -3, -16871?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 4 + (11 + 0 + 12)*(2 - 3 + 0))*(3*o + 1 - 1)*(-3 + 3 + 2)*(-4 + 2 + 7).\nAnswer: -780*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 46911191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*x + d, -x - 10 = 5*d - d. Suppose -g = -x - 13. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454 + 450. Let s be (g + 9)*(-6)\/435. Which is the closest to 2? (a) s (b) 0 (c) -1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12209 and 5887?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 12 = -11*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*-0.07.\nAnswer: -8.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22361 is divided by 1862?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69248.87 millilitres?\nAnswer: 69.24887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a + 30*a = 0. Let k = 12 - 10. Suppose -5*x + x - 2*y = -724, a = -k*y. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738090 is divided by 1118?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 249 + 82. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 545*c**4 - 59*c**3 - 2*c**5 + 59*c**3 + 5*c**5 - 3*c**5 - 3*c**5 + (-2*c**5 + 4*c**5 - 3*c**5)*(4 - 6 + 1) - 2 + 2*c**5 + 2 + c**2 + c**5 - c**2.\nAnswer: c**5 + 545*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkbq when four letters picked without replacement from bkzkzkqkkzbbkkbkkbb?\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -629.2 - -629. Suppose -4*c - 2*u + 6*u - 12 = 0, -3 = 3*u. Put a, 0, c in descending order.\nAnswer: 0, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/12*6*4\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7658, 5, -1.\nAnswer: -1, 4, 5, 7658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 52*u + 693. Let i be z(-11). Put -23, i, -10, 1, 4 in descending order.\nAnswer: 4, 1, i, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(-5)))*v\/v**(-1\/7))**(8\/9) assuming v is positive.\nAnswer: v**(-160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 (base 10) in base 15?\nAnswer: -c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 8804985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-279 + 279 - 2*l)*(-2*l**2 - 4*l**2 + 4*l**2)*(-1140 - 195*l + 1140) to u + p*l**3 + g*l**2 + r*l**4 + f*l and give r.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*y**3 - 396*y**2 - 1767*y\/2 - 1083\/2 = 0 for y.\nAnswer: -19\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(9\/4)*21\/(-42). Let m = -0.6 - -4.6. What is the closest to 0.2 in 3, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-7388\nAnswer: -3694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**7\/126 - 2*h**6\/45 - 2*h**5\/45 + 23*h**3\/3 + 20. Let i(z) be the third derivative of j(z). Let i(u) = 0. Calculate u.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-24)\/8 - -2. Factor -7*g**3 + 22*g**2 - 10*g**2 - g**4 + 18*g**o.\nAnswer: -g**2*(g - 12)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 233*d + 2. Let s(g) = 1508506*g**2. Calculate n(s(z)).\nAnswer: 351481898*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19632 + 0.00368. Which is the nearest to -0.3? (a) -4 (b) n (c) 5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(9\/(-81))\/(0 - 9\/(-6)). Suppose 4 = 4*g, 3*m - 4*g - 4 = 7. What is the nearest to l in -0.1, -0.07, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojo when three letters picked without replacement from {o: 11, j: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.684 - -3.684. Which is the closest to -4\/5? (a) u (b) 0.2 (c) 404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/152 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -66, -91, -116, -141?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96149438*s - 308142326 wrt s?\nAnswer: 96149438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/157230 and 19\/1458745.\nAnswer: 26257410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 5) to base 8\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 11*f**4 - 2*f**2 - 9*f + 11*f - 3*f in the form g*f**4 + r*f**2 + c + p*f**3 + w*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 less than -367548.47761?\nAnswer: -367512.47761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 24*a**2 - 13*a - 2. Give y(2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12692084, -25384201, -38076318?\n\"Answer: -12692117*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.28, -5, -162, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*y + 9. Let s be (y - 5)*11\/2. Let l = s + -28. Is l != 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s = -63*s - 1560. Suppose 128 + 32 = s*v. Solve -6 = 2*y, -2*y + y = v*w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -2 + -11 + 15 + (10 - 47) + -9?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -104 - 497 + 106. Let r(l) be the second derivative of 31\/6*l**3 + 0*l**2 + y*l + 11\/3*l**4 + 0. What is the second derivative of r(h) wrt h?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Suppose f*t - 5 - 4 = 0. Suppose 5*i - 43 = -t. What is the remainder when 15 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8166 - -5819?\nAnswer: 10982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21890 + 21889. Let n = 0.2 + 0.3. Which is the second smallest value? (a) 25 (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/7, 0.258, 6\/7, 2\/11, -9 in descending order.\nAnswer: 6\/7, 3\/7, 0.258, 2\/11, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**2 - 5*b + 3. Give k(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 178?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*x - 3*d, -5*d + 341 = -2*x + 358 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.164 + 4.836. Which is the closest to 1? (a) p (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.00495 - -0.99505. What is the second biggest value in 2, r, -9.67?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/3*(-3)\/6. Calculate the highest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/196 and 97\/22.\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 + 77*g**2 - 36*g + 120. Let y be j(-39). Let v(u) be the first derivative of 1 + 0*u - 1\/3*u**y + 0*u**2. Let f(b) = 2*b. Determine v(f(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.7 + 4.71. Let b = 4 - 1. Let i = b - 1. Is i smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from yumcmuammccucuc.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2007*y - 22. Is m(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-1)\/m)\/(m\/(m*m**(-3\/4)))*(m**(-10)*m)\/m**11)**(-21) assuming m is positive.\nAnswer: m**(1743\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -q**4\/12 - q**3\/2 - 5*q. Let v(s) = s**2 + 4*s. Calculate -4*d(u) - 3*v(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440 divided by 3?\nAnswer: 3440\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -308.09 + 314. What is i rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*j = 1299*j + 2353*j + 2386*j - 44856 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*a = -a + 49336638. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111101270.\nAnswer: 2, 5, 7, 23, 151, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1211 + 13?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4854, 8793, 12732, 16671, 20610?\n\"Answer: 3939*d + 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241 - 925.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154835116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(6\/(-25)) - 240\/288.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:39 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/15 and -26\/111.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 105, 143, 165, 165?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8914126 and 78156?\nAnswer: 4342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*20)\/(((-16)\/(-6))\/4). What is the second derivative of o*a + 15*a**4 + 12 - 12 wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 3. Let i(w) = 4*w + 3. Let c(n) = 2*i(n) + 3*q(n). Let a be c(-7). Suppose 0 = -a*r + r. Solve -5*o - 10 = r, -o = -2*j + o + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56000 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14615513, -29231020, -43846527, -58462034, -73077541?\nAnswer: -87693048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Suppose b*r = r - g + 15, 0 = -5*r + 2*g + 25. Solve -3*u = 2*u - r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/12 + n**3\/3 + 5*n**2\/2 + 2*n. What are the prime factors of v(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122791730 to the nearest integer?\nAnswer: 11081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*y**2 - 26*y - 14183 wrt y?\nAnswer: -134*y - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**3 - 2*r**2 + 2*r. Let o be y(-2). Let t = o - 13. Let q be (-22 - 0)*(-4 - t). What is the highest common divisor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*y + 113*y = 26884. What is the greatest common divisor of 176 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 35 = -5*c, 7*t - 9 = 4*t. Let g(o) = 9*o**3. Let f(k) = -280*k**3. Give c*f(w) - 126*g(w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.04 + 0.04. Let d = -301.5 + -60.6. Let k = d + 362. What is the fourth biggest value in k, q, -2\/5, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 10. Let a be l(2). Suppose z = -4*y - 0*y + 683, 0 = -a*z - 20. What is the remainder when y is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-30))\/(45\/(-240)*2).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 23546 (base 12) to base 5\nAnswer: 3004210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36526 divided by -37.\nAnswer: 36526\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18180 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159.0001224 + 159. Round n to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = -3*x. What is the second derivative of -60*i**3 + 1345*i + 20*i**x - 1385*i wrt i?\nAnswer: -240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 10 + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10823120 and 103390.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 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: Which is greater: -21502833 or -21502830?\nAnswer: -21502830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 38. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.179 rounded to one dp?\nAnswer: -39.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or 716\/7?\nAnswer: 716\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.4. Let r be 16\/35 - (-18)\/(-30). Sort f, 0.2, r in ascending order.\nAnswer: f, r, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/3)\/t)\/t**10)**(1\/48)\/((t\/(((t*t**(1\/3))\/t*t)\/t*t)*((t*t**(-5)*t)\/t)\/t*t)\/((t**2\/t)\/(t**(-1\/3)*t))) assuming t is positive.\nAnswer: t**(635\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let b(o) = 4*o + 29. Give z(b(l)).\nAnswer: -4*l - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlb when three letters picked without replacement from {f: 3, q: 7, l: 2, b: 3, x: 1, h: 3}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 380832 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -78, -62, -26, 36, 130?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2. Let t(c) = c - 1. Let s(y) = -y + 18. Let i(n) = s(n) + 3*t(n). What is i(z(x))?\nAnswer: 2*x**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 5, x: 3}. What is prob of sequence idx?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5042 greater than 5041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1268004*w + 1268897*w + 2 + 2*w**2 - 3.\nAnswer: 2*w**2 + 893*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z + 2. Suppose -5*s + 83 - 68 = 0. Let c(l) = -7*l + 3. Let i(j) = s*c(j) - 4*v(j). Let r(o) = -3*o - 1. Give -4*i(p) - 5*r(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (46 - 52 - (2 - -6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65824705 and 78989646?\nAnswer: 394948230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 968*f + 2900. Let d be v(-3). Sort 23, d, 53 in increasing order.\nAnswer: d, 23, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/18 and -149\/2208.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*z - 71147 = 868*z - 2807 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 25*p + 141. Let n be w(-5). Let v be (4 + 2\/(n\/(-36)))*0. Solve 0*u + u + 13 = -5*y, v = 3*y + 4*u + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/15)\/((-16)\/(-110)))\/(2\/8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*u + u - u)*(436 + 289 + 158) in the form g + k*u and give k.\nAnswer: 15011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24, 48, 72, 96?\n\"Answer: 24*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93.87 - -93.57. Let f = 33 + -27.8. What is the biggest value in f, z, 2, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 2*x**2 + 0*x - 4*x + 4*x - 2*x**2 + (0*x - x + 3*x)*(-1 - x + 1) + 2*x**2 - 7*x**2 - 3*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a - 8187 + 8187.\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, m: 5}. Give prob of picking 3 b and 1 m.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693382.6 months in centuries?\nAnswer: 2244.4855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 15.4174.\nAnswer: 61.6696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22041454 (base 6) in base 5?\nAnswer: -132040022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -522935*z + 1255818 with respect to z.\nAnswer: -522935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 829954536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4226079 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24149, 48299, 72449, 96599, 120749, 144899?\nAnswer: 169049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 732 and 24?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-40)\/(-6)*36\/(-24). Let q(t) = -t + 5. Give q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -109, -440, -1021, -1876, -3029?\n\"Answer: -4*r**3 - 101*r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 53 + 213 = 0 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 20, 69, 160, 305, 516?\n\"Answer: 2*f**3 + 3*f**2 - 4*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*sqrt(110)*1)\/(sqrt(160)*1).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(10\/2))\/((-1)\/(-115)*23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + -2.7. Let y = 7 + h. Let q be 2\/7 - 51\/(-42). Which is the biggest value? (a) y (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -71555.9 (b) -0.04 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-36))\/(-49 + 4466\/87). Which is the closest to -52\/9? (a) 5 (b) o (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 5*l + 8. Let c be y(-7). Calculate the greatest common divisor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w + 9. Let p(m) = -5*m - 5. Let c be 0 + 2\/(2 - 1). Let l = c + 1. Let o(n) = l*h(n) + 5*p(n). What is the derivative of o(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3110002 (base 4) to base 6.\nAnswer: -142454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 27*y + 30*y + 47*y. Let z(v) = -2*v. Determine z(w(x)).\nAnswer: -208*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t**3*t*(t\/(t\/t**(-3\/2))*t)\/t*t**(-2\/9))**(1\/7) assuming t is positive.\nAnswer: t**(113\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(468)\/(sqrt(9) - (-2*sqrt(108) + sqrt(108))\/sqrt(12)))\/((sqrt(400) - -1*sqrt(400)*2)*-3).\nAnswer: -sqrt(13)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n - 6. Let v be c(-6). Suppose -4*r + 3*r + v = 0. Let j(a) = 15*a - 12. Let g(b) = 6*b - 5. What is r*g(u) - 5*j(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 4*i**3 + 3*i**5 + (i + 0*i + 0*i)*(-11*i**4 + i**4 + 2*i**4) + (-i**4 + 0*i**4 + 0*i**4)*(i - i + i).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 162, 166, 170?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 87. Let h(w) = 1. Let a(z) = -12*h(z) + t(z). Let l be a(-24). Differentiate -10 - 1116*g**2 + l + 1150*g**2 wrt g.\nAnswer: 68*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55974883 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*y + 2*q, 19*q = 18*q. What is the remainder when 283 is divided by y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125\/250*((-2)\/(-4) + -1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**29)**24\/(z**6\/(z\/((z**(2\/9)\/z)\/z*z))*(z\/(z**0*z*z))**(-2)) assuming z is positive.\nAnswer: z**(12248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(48))\/(-2*sqrt(27)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - l - 1647000, -5*z - 3*l + 2745000 = -8*l. Round z to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**3\/6 - s**2\/2 - 55904*s. Suppose -4*u - 2 = -4*o + 26, 2*o + 2 = -2*u. Suppose -o*c = 13 - 1. Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60505541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51585 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88\/1327 or -1?\nAnswer: 88\/1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Solve 4*c - 11 = -m*x, -2*x - x + 8 = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2860 is divided by 44*36*5\/80?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -124*u + 125*u - 17, 3*u + 4*j + 47 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30944 and 466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(39) + 5*sqrt(195)\/sqrt(5) + sqrt(234)\/(sqrt(6)*-2))\/(sqrt(675) + (sqrt(18) - -2*sqrt(18))\/sqrt(6))*4)**2.\nAnswer: 3146\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 198, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 2*m - 26, 4735*m - 4733*m = -5*b - 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = -v + 2*v, 5*t + 28 = -4*v. Let y = v - -4. Let g be ((-8)\/6)\/(((-12)\/18)\/y). What is the third biggest value in -3, g, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1713203 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8606, 8988, 9370, 9752?\nAnswer: 10134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24397 = -6*d - 983. Is 17 a factor of d\/(-24) + (-9)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (8\/(-2) - -12). Suppose -h*a = -11*a + 35. Suppose 46 = a*v - 4. Solve -3*f + f + v = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4 = -4*t - 3*i, 0 = -4*t + i - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -3 - 90\/(-2). Let o = v - 224\/5. Factor -o*z**5 + 0*z**2 - 2\/5*z**4 - 1\/5*z**3 + 0*z + 0.\nAnswer: -z**3*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from weeeewwe.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 + 0.5. What is the closest to -1 in q, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -0.018, 2\/3, -2\/9, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 7*x**2 - 6*x - 1. Suppose 7*z - 48 = 3*z. Suppose 0 = -2*p - z - 0. Calculate a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -11*u - 6. Let b(y) = y + 1. Let q(r) = 18*b(r) + 2*p(r). What is the first derivative of q(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**2*y**3 + i**2*y**2 + 11*i**2 - 448*i*y**5 + 3*y**2 + 46 wrt y?\nAnswer: 18*i**2 - 26880*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7439.471 millilitres?\nAnswer: 7.439471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 329*m - 16510. What is j(51)?\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14741130, -14741132, -14741134?\n\"Answer: -2*z - 14741128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13752148.\nAnswer: 2, 29, 103, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 44915*t + 1713990.\nAnswer: -5*(t - 38)*(t + 9021)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 30, -3, 0.3, -0.02, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-4)\/(-4))*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1412 or -1406?\nAnswer: -1406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -8 - 12. Let y(b) = b**3 + 4*b**2 - 6*b - 7. Let q be y(l). Let x = 0.421 + -0.821. What is the closest to 1 in x, 9, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944194 is divided by 23604.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5520 - -5521. What is the nearest to 1\/2 in 0.15, -5, n?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**3 - f**2 - 3*f + 1. Let b be x(-2). Calculate the greatest common divisor of b and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -133380, -266772, -400192, -533640?\n\"Answer: -14*m**2 - 133350*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1836*x - 40392. What is m(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*x = -1937388*j + 1937385*j - 1983, 3*x + 2*j = 57 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 605?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4 - 3*d + 0*d**2 - d**2 + 0*d. Suppose 5*b - b - 5*a = 15, -2*a = 5*b - 27. Let u(y) = y - 2. Give b*u(m) + 2*g(m).\nAnswer: -2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 10283*q - 14 - 10316*q + 6.\nAnswer: -33*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -209 + 9*s - 14*s - 345 + 0*s - 4521*s**5 + 9*s wrt s?\nAnswer: -90420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 9*u. Let b be x(-8). Suppose -2*y = 2*y + b, 2*y + 24 = -5*d. Does 12 divide d*2\/(-4)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 + 13*w**3 - 23*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.0377\nAnswer: 0.01885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 + 92. Solve 0 = w*z - 12*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7761 > -1065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -145, -291, -449, -625, -825, -1055, -1321, -1629?\n\"Answer: -l**3 - 139*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2. Let z(g) = -3*g**2 - 6*g - 1. Give 3*w(f) - z(f).\nAnswer: -3*f**2 + 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 449 - 156235?\nAnswer: -155786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 52 - 98 = 5*w, -4*k + 80 = 4*w. Suppose -6*l + l = -k. Calculate the least common multiple of l and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15*5)\/(1*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.96 - 0.04. Let j be (-2)\/7 - 256\/(-2464). Put f, 0.5, j, 2 in ascending order.\nAnswer: f, j, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3 - (16\/(-14) + -2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/(-24) + 36\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*o - 1 - 1, 28 = m - 5*o. Suppose -24 = j + m. Let y = j + 25. What is the second smallest value in y, -12, 2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-33)*(-42)\/(-56)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17729.98712 + 17734. Let g = o - -32.99692. Let c = 37 - g. What is c rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-9 - -5) + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 3*g + 597, 3*o - 2*g = 1756. List the prime factors of o.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2413*n = 2416*n - 12, 4 = -2*j + n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 613 divide 31976532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -79424 divided by -1088\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1645\/14 - -1*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109437563?\nAnswer: 109437563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 3*p - 286 = 8*g, 0 = 4*g + p + 572. Let v be (g\/88)\/(-1) - 3\/(-8). What is the highest common factor of v and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**4 + 324*p**2 - 251 wrt p.\nAnswer: -4*p**3 + 648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -397*(-4*18\/(-24) - 2). Let k = -396 - l. Solve k + 9 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*m = -15*m + 321234. List the prime factors of m.\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 - (-2)\/(-3). Suppose 0 = -2*i - 3*x - 11, -2*i - 5*x - 17 = 2*i. Let c be (-6)\/(-33) + i\/(-11). Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1789\/7 + 255. Let s = -199\/43 - 4852\/559. Let r = 13 + s. Sort r, -0.3, t in decreasing order.\nAnswer: -0.3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446537102 to the power of 1\/2, to the nearest integer?\nAnswer: 21131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-1 + 24*z - 14*z - 15*z) + z - 4*z + z.\nAnswer: 13*z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g + g. Let t be (-7414)\/66*5\/(15\/(-9)). Suppose -3*k - k + 5*o = -t, g*k - 425 = 5*o. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27075.99 kilograms?\nAnswer: 27075990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*-3*(214\/22 - (-174 + 184))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/120 + a**5\/12 + 7*a**4\/24 - a**3\/6 - a**2 - 6. Let d be c(6). Solve 12 + 8 = d*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.64 and -698673203068.\nAnswer: -698673203060.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.120327918 and -2.\nAnswer: 0.240655836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13017244.\nAnswer: 2, 233, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-1)\/(3\/1 + -4)). Let c be -2 + 1 + r + (-288)\/(-18). Let z = -26 + c. Round z to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 21*o**2 - 39*o - 10. Let z be g(-19). Suppose -3*q + 15 = z. Solve -2*x = 6, -q*r + 0*r + 3*x = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-35))\/(2\/5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84408443.\nAnswer: 7, 31, 541, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 - 5 = -3*l, 2*v = l + 8. Suppose 4*w + l*w = 48. Let m = w + -5. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {y: 7, k: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 18*t = 15*t + 5, a + 4*t + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*j + 28, -2*m + 6*m + 3*j = -20. Let g = -65 - -94. What is the remainder when 854\/10 + m\/20 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (-4)\/((-16)\/(-44)). Suppose 59*w - 56*w = f. Solve c - 6*c + w = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjmmjjjj?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4420 by 884.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(5*sqrt(100) + sqrt(100)) + sqrt(100))\/sqrt(4))\/(sqrt(125)*-1*2 - sqrt(125)).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44a + 4382b?\nAnswer: 433a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/119*(-553)\/(-14) + 14.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043686.\nAnswer: 2, 41, 24923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 1325628.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 8) to base 6\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*v + 144371 - 151796 = 0 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 + -16 - (3 + -38).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 3:17 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -4b7?\nAnswer: -4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001214071 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 2. Let t be s(6). Suppose 3*i - 2*c - 2 = 0, -3 = 2*i - 5*c + 3. Suppose i - 14 = -t*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:13 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3965*n**3 - 7*n**2 + 399842 with respect to n.\nAnswer: 11895*n**2 - 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 11. Let f be y(6). Suppose -4*g + 2 = -f*x + 23, 5*g - 20 = -3*x. Solve -3*m + 9 = 0, x*k - 2*m + 4 = -2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 2*o + 30, -47*b - 5*o + 109 = -26*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7669 or -7671?\nAnswer: -7669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/((-25)\/10 + 3). Let b be (r\/(-3))\/((-1)\/((-3)\/6)). Suppose -5*y + 20 = 2*f - b*y, 0 = 2*y + 4. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 4*k - 6. Let t be p(6). Suppose 0*w - 3*w = -t. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4658 minus 1043.682?\nAnswer: 3614.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0624*-0.01\nAnswer: 0.000624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 14 - 21 + 4 - 2 - 3 + (-3 + 4 - 3)*(-3 + 4 + 0) - 2 + 3 - 2)*(3*c - 2*c + c)*(-2 + 0 + 1).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - sqrt(130)*-2*-6) + sqrt(130) - (sqrt(130) - 2*sqrt(130)*2 - sqrt(130)))\/(3*-1*sqrt(1210)*-1)*-2.\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6160 and (-17612)\/(-40) - (-279)\/(-930)?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -9. Suppose j*g + 280 = 4*k - 4*g, 0 = 3*g - 12. Let v = k - 38. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.5 + 144.5. Let u = -120.93 + r. Suppose 0 = -18*m + 23*m - 15. Which is the closest to u? (a) -5\/4 (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 18. Let s be w(20). Let o = -74 + s. Suppose -2*p - 108 = -o*j + 3*j, -p = 0. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(5\/(390\/9)). Let u = x + -39. Let c = u + 23. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus 0.041207?\nAnswer: 0.101207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*b + 216, -5*b = -5*r + 2*r - 262. Let m(t) = 5*t + 396. What is the tens digit of m(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 75*i - 300. Let n be x(0). Sort 1, n, 3 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*b - 22*b - 7*b + b)*(-65*b**3 - 9*b**3 - 18*b**3 + (0*b**2 - 2*b**2 + 0*b**2)*(0 + b + 0) - 2*b**3 + 0*b**3 + 0*b**3 + 2*b**3 + 3*b**3 - 6*b**3).\nAnswer: 5626*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - -21. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327807 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 2772*z + 283046. Calculate n(-1275).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 31480700 to the nearest 100000.\nAnswer: 31500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-187.97.\nAnswer: -93.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*g + 36*g - 88*g.\nAnswer: 309*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 813\/4 + -203. Which is the closest to 2? (a) -5 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23446, 22935, 22424, 21913, 21402?\n\"Answer: -511*j + 23957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5465 in 0.1, 2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.504 - 23. Let w = -0.50118 - m. Round w to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-480*s**2 + 19 + 480*s**2 + 2*s**3)*(-2 - s + 2).\nAnswer: -2*s**4 - 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g. Let x = 2 - g. Let r(o) = x*o**2 + 4*o - 3*o - o**3 + 2*o - 4. What is r(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*l**2 - 2485*l**3 - 1284*l**3 + 330*l**2 + 229*l**3.\nAnswer: -3540*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*c + 4*c + 90. Let w(b) = 2*b**2 - 6*b - 2. Let x(y) = 5*y**2 - 17*y - 6. Calculate c*x(v) - 17*w(v).\nAnswer: -4*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 155452 and -5.\nAnswer: -777260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 3081127\nAnswer: 61622.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -11210022?\nAnswer: -11210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1286739*n**2 - 15*n + 232221 wrt n.\nAnswer: 2573478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*b - 70*b + 131 - 31 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i = -2*d - 52, d = 0. Let t = -35 + 52. What is the remainder when i is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 + 5*m**5 + 12*m**5 + (2 - 2 + m)*(m**4 + 0*m**4 + m**4).\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.023688ml?\nAnswer: 0.009023688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 39*n**3 - n - 12*n**2 - 14*n**3 + 12*n**2.\nAnswer: 25*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -38. Put y, -0.3, 0.2 in descending order.\nAnswer: y, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355\/746 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*q**3 - q**2 + q**2.\nAnswer: 269*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*m + c - 2744, 5*c = m + 692. Let i be m\/18 + 80\/(-96). Let s(q) = -5*q**3 + 13*q - 13. Let g(j) = -j**3 + 2*j - 2. What is i*g(r) + 6*s(r)?\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1510 + 3?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 6*k**2 - 25*k - 74. What is p(-7)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3702891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 17 = 4*t, -h + 24 = 260*t - 257*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15716\/(-400758)*(2 + 0 + 1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 28*n + 5. Give f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 41 = -h, r + 2*r - 65 = -2*h. What is the remainder when -1 - (295\/(-5) - 2) is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(768)\/sqrt(6) + sqrt(8) + sqrt(8))*-6.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.82476 rounded to one dp?\nAnswer: -172.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 255*x + 41. Let j be y(0). Solve -j*z + 30 = -47*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5068*l**4 + 6625*l?\nAnswer: -60816*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 5*v**2 - 2*v**2)*(17*v - 10*v - 10*v) - 136*v + 10*v**3 + 136*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 3 (c) 1\/20 (d) -42\/15017\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 3*f**5 - 2*f**2 - 17. Let p(b) = -2*b**2. Calculate p(d(w)).\nAnswer: -64800*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38848 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 p(f) = -f**2 - 4*f - 1. Let k(s) = -s**2 + 7*s + 2. Let q be k(4). Suppose -5*z + q + 22 = -4*a, 2*a = -4*z + 8. Give p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -6 (c) -21\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(567) - (sqrt(567) - 3*(-1 + sqrt(567) + sqrt(567)))) - ((sqrt(567)*2*-4 - sqrt(567)) + 2*-1*sqrt(567))) + 1)**2.\nAnswer: -306*sqrt(7) + 163864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 117*t + 44. Does 59 divide w(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 6. Let w be f(6). Suppose -2*z - 798 = -5*s, -5*s - 5*z + 614 + 156 = w. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 10*a + 8. Let c be p(-10). Let z(d) = 5*d - c*d - 2*d - 11*d. Let q(b) = -2*b. Determine z(q(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1962*h - 1332192. Give w(679).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = 4. Suppose 5*l = -y + 86. Let w = 25 - l. Calculate the highest common divisor of w and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 189 and 889?\nAnswer: 24003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 595*l - 101465 = 2156*l for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -15.4871?\nAnswer: -15.4871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17.4 in 5, 2\/3, -112, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8)*1)\/(42\/24).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*u - 7*u - 2, -3*t + 2*u + 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 9*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -923, 2, 786 in increasing order.\nAnswer: -923, -0.3, 2, 786","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 4*g - g**2 + (-g + 4*g - g)*(-2*g + 3*g + 0*g) + 3*g**2 - 5*g**2 + 4*g**2 - 8*g**2 - 2*g**2 - 9*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, and 1 x when three letters picked without replacement from {t: 1, q: 1, x: 2, v: 1, b: 1, k: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-2 + -99)\/1. Calculate the common denominator of -7\/4 and c\/42 - 2\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-32))\/(2\/(12\/(-9)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2093457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (7 - 4) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695328 is divided by 57?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(-10*c + 3*c + 4*c) + (0*c - 4*c + c)*(-1 + 4 - 4).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {a: 1, o: 1, p: 1, y: 1, z: 1, j: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 8*f - 6. What is s(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -0.045?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/21*k**2 + 0 - 2\/7*k**3 + 2\/21*k**5 + 0*k + 0*k**4.\nAnswer: 2*k**2*(k - 1)**2*(k + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -511*d**5 - 298*d**2?\nAnswer: -30660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 3*j**2 + 12*j + 8. Determine q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-253*w**2 - 256*w**2 + 573*w**2)*(-2 + 2 + 44*w**2 + 29*w**2 - 2).\nAnswer: 4672*w**4 - 128*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + g + 2*g - g - 2*g + g + (-2 + 6 - 5)*(3*g - g - g) - g + g + 2*g + 3 + g - 3 + (0 - 1 + 3)*(2*g - g - 3*g) - 2*g - 1 + 1.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 35 = -2*b, -2*b - 38 = 7*c - 7*b for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9752 and 370001.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**1)\/r*(r\/(r**0\/r))\/r*r*r)\/((r**(-5\/2)*r)\/r**6) assuming r is positive.\nAnswer: r**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1317, 972, 627?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10*-12 - -5*2. Solve -3*f - 5*x - 4 - 1 = 0, 0 = 4*f + g*x - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-62)\/((-155)\/5)*5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*t - 3677 + 16837 = 0. Calculate the remainder when 1192 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 10*c**2 + 3*c**2 + 6*c**2 - 6 wrt c?\nAnswer: 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -26, -43, -86, -167, -298?\n\"Answer: -2*f**3 + 5*f**2 - 4*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**6\/60 + c**3\/3 - c**2 - c. Let b(m) be the first derivative of z(m). Differentiate b(p) wrt p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {c: 1, o: 1, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 335\/6. What is the second smallest value in -0.3, 5, -1\/14, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v - 5*v + 106 - 103.\nAnswer: -36*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(-10\/7))**(-1\/4)*(y\/((y**(2\/11)*y)\/y*y*y))\/(y**(-1\/4)*y*y)*y**(2\/5)*y**(2\/5) assuming y is positive.\nAnswer: y**(-9299\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -10395\nAnswer: -4\/945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**5 + 6201*y**3 - 286*y**2 - 172*y wrt y.\nAnswer: -420*y**2 + 37206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -21.27.\nAnswer: 85.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*y - 1481*y + 873*y.\nAnswer: -849*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + 2*p**3 + 2*p**3)*(76*p - 3 - 59*p - 38*p).\nAnswer: 21*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 176814?\nAnswer: 176814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + (-2 - -3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 33 - 10)*(60*v - 11*v + 13*v) in the form d + j*v and give j.\nAnswer: -2542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 5:43 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*g + c, -2*g + 1 = -3*c - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -727\/11952?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187) + (sqrt(187) + sqrt(187)*-2)*5 + sqrt(187))\/sqrt(11).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 347611264 by 286.\nAnswer: 1215424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + 28*x - 57.\nAnswer: (x - 2)*(x + 114)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0.3 (b) -0.7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.5 - 12.466. Let n = 4.966 + s. Is n equal to -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -2, 4.\nAnswer: -7, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 6*g + 21. Suppose -g*d + d + 2 = 0, -d - 753 = -2*z. Suppose -2*l = 11*l - z. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-20))\/((-4)\/(-10)). Suppose -f*d - 11 = 3. Let o = 12 + d. Let b(x) = x**3 - 5*x**2 - x - 1. Give b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2673413 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*t + 72 = 736*t - 367*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:17 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -22*q**2 + 7*q - 7. Let v(t) = 7*t**2 - 2*t + 2. Give 4*m(j) + 14*v(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 555035824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {w: 3, z: 17}.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3 - 1. Suppose y - 5*y + a - 140 = 0, -4*a = c*y + 52. Let f = 76 + y. What is the greatest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46509.\nAnswer: 3, 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**2 + 9*d + 9. Let y(j) = j**2 + j + 1. Let x(u) = 2*k(u) - 18*y(u). Let f(b) be the third derivative of b**5\/12 + 64*b**2. Determine x(f(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -3*f - 239. Let k = 2 - 7. Let r(j) = j**3 + 5*j**2 + 5*j + 6. Let s be r(-4). What is the closest to f in k, s, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16261 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3191881097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 134 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 208202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/13 + 70*s\/13 - 400\/13 = 0.\nAnswer: -40, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 66, 86, 106, 126, 146?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54527, 5, 4, 38.\nAnswer: 4, 5, 38, 54527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32544 divided by -72.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -2*g, -1 = 2*q + 3*g - 0. Let o be 0 + q - 10\/10. Solve o = 2*t + 5*z - 19, -2*z = -z - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.6. Let y = u + -0.2. Let h = -0.0633 - 4.9367. Which is the biggest value? (a) y (b) 1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3148 + 2?\nAnswer: 3151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + 2. Let h(t) = -t**2 + 8*t - 10. Let d be h(6). Let b = d + 14. What is the remainder when x is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**3 - 9*h**2 + 14*h - 6. Calculate the remainder when u(6) is divided by 54.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1351 to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 6*w + 2. Let q be k(-6). Suppose b + 14702 = -d, 5*b + 53235 = -q*d - 20269. Round b to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * 163278.\nAnswer: 6531.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5.6. Let y = -0.5792 - 9.4208. Which is the nearest to y? (a) -2\/9 (b) -2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 30 = -19*f. Let h = 4 - f. Solve 4*y = -3*v + y, 5*v = -2*y - h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6. Suppose -4*n - 5*g + 17 = k, 0*g = -n + 4*g - 1. Suppose -5*u = -n*c - 36, u + 2*c = -u + 24. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 276\/(-24)*(-4 + -40). Calculate the highest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 166021 and 166024 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.493 * -0.3201\nAnswer: 0.7980093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2. Let n(p) = -767*p**2 - 2*p. What is n(w(k))?\nAnswer: -6903*k**4 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-136)\/(-288)*116 + (-2)\/(-9). Suppose 55 = -o + l. Factor o - 8\/15*f**3 + 4\/15*f + 14\/15*f**2.\nAnswer: -2*f*(f - 2)*(4*f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + 4*w)*(4450*w - 4*w**2 - 8914*w + 4460*w + 84*w**3).\nAnswer: 84*w**4 - 4*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2681 and 34745760?\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*t - 24 = -0*x, -12 = -4*x - 2*t. Let k = 9496 - 9490. Solve -x*i - k = 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 60\/119?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 + 7086*m**4 - 85*m**3 + 23941*m**2 + 46*m wrt m?\nAnswer: -60*m**2 + 170064*m - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**5 - 4198*k**4 + 22*k**2 - 658263*k.\nAnswer: 20*k**3 - 50376*k**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305426 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4156.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 1, 4, -3, -5.\nAnswer: -5, -3, 1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -73. Let a be ((-7)\/((-14)\/y))\/((-27)\/6). Is -2 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -66*q + 86, 0 = -2*y - 5*q + 19 - 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-5*u**4 + 2*u**4 + 2*u**4)*(-4 + 7 + u - 2) + 2*u**5 - 5*u**5 + 2*u**5.\nAnswer: u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 14123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - (16 - 11) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 218900 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 748882341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*j - 34 + 17, 0 = 4*p - 2*j + 6. Let l(b) = -1. Let v(s) = s - 1. Calculate p*l(a) + v(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.2875554 to 1 decimal place.\nAnswer: -37.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/9 (b) -4 (c) -1\/15 (d) 0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513075462 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16626*c**3*d**3 + 2*c**3*d*p + 14*c**2*d**2*p - 11*c*d*p - c*p - 1924*d**3*p - 10217*d**2 wrt d.\nAnswer: -99756*c**3 - 11544*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -40.6 and 5.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3480 and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 917 and 16904279.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*j - 2. Suppose 5*v - 116 = -4*g + 36, -2*v - 152 = -j*g. Let o = -20 + g. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 185.\nAnswer: -3\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnhynknqnnnynyonnkh. What is prob of picking 1 h and 1 n?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -28625330\nAnswer: -28625327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -788601.9 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 585.678?\nAnswer: 580.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -18635*s - 10783*s + 5448*s as d*s + p and give d.\nAnswer: -23970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/34960 and -89\/1226?\nAnswer: 21430480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/6*112\/(-420))\/((-26)\/117).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351086.\nAnswer: 2, 175543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -3*j + z, -4*j + j + 150 = 3*z. Let m = 28 - 59. Let g = j + m. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 28, 49, 72, 97, 124?\n\"Answer: k**2 + 16*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttr when three letters picked without replacement from eedatereeatae?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -6, -3, 2, 9, 18, 29?\n\"Answer: d**2 - 2*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -652 + 657. What is the second smallest value in l, -31, -0.046?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186 - -176)*(-2 + 3\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -3 - 3\/(-9). Let r = s - 2. Let c be (2\/(-9))\/((-140)\/(-105)). What is the nearest to 0 in r, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.271 - -35.27. Let a = 6.07 + -0.07. Let m = a + o. What is m rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 64. Let s = 23 + b. Let k = -17 - s. What is the second biggest value in -1, 0.5, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = 17*s - 193. Calculate the greatest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*2433.115\nAnswer: 12165.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {g: 1, x: 4, y: 1, i: 3, b: 1, s: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -41\/2 (d) 1\/212 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i - 31. Let y(u) = -11*u + 63. Let m(h) = 7*a(h) + 4*y(h). Let w be m(16). Factor 6\/7*t + 2\/7 + 6\/7*t**2 + 2\/7*t**w.\nAnswer: 2*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9747673*w = 9747676*w - 6*y + 18, 3*w + 4*y + 36 = -w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3, -1.18, -15 in decreasing order.\nAnswer: -2\/9, -1.18, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y + y + (1 - 5 + 2)*(5*y - 3*y - 3*y))*((8 + 3 - 3)*(0*y + 4*y - 2*y) + 0*y + 2*y - 3*y - 15*y + 35*y + 17*y).\nAnswer: 156*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g + 3. Let u be m(-1). Suppose -3*k + 5*q + 86 = u, 3*k = -6*q + 4*q + 79. Suppose -h + k = 5*x, h - 2*h + 26 = 4*x. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.964806 millennia?\nAnswer: 119577.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1690063.95 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -262*(7 + (-34)\/4).\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/5*-5)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(19\/3))\/y*y*y*(y\/(y\/y**(-2\/25)))\/y assuming y is positive.\nAnswer: y**(-406\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672 + 619 = 226*h - 743. Solve 26 = 5*g - 4*m, 10*g - m - 6 = h*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/129096 and -73\/11736.\nAnswer: 129096","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/516971 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.6994526+-10\nAnswer: -10.6994526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1532 + 32133?\nAnswer: 30301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/105)\/(6\/10). Let p = 61\/69 - -18\/23. Sort p, 3, 0, i in decreasing order.\nAnswer: 3, p, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200 - 159. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:09 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6*n - 4*n, i = -3*n. Suppose y + 0*b - 2*b - 44 = 0, -5*b - 10 = i. Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 + 6*k**4 - k**4 - 22*k**3 - 6*k**4 - 4*k**2 + 20*k**3.\nAnswer: 2*k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20734776.5 and -241306.\nAnswer: -20976082.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyyk when four letters picked without replacement from huuyhukyuyyyuwyt.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 12190?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 837821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 0, p - 3*r + 2 = 3*p. What is the remainder when ((-6)\/(-15))\/(6\/15) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -635907 or -635909?\nAnswer: -635907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 67?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8804 and 868.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3424\/(-1408) - (-2)\/11. Let r = -4 + 1. Let p be (-6)\/9 + 7\/r. Which is greater: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**4\/24 - 8*r**2. Let z be o(0). Suppose p - 12 + 6 = z. Solve -3*v - p = -6*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3131 + 3200. What is the remainder when 604 is divided by c?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/19 in 4\/9, 8, 1, -0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109249*0.12.\nAnswer: -13109.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.2 + 72.9. Let t = -44.699319 + k. Round t to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176847*g = -176849*g - 4*t + 34, -3*g - 24*t + 15 = 0 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21868 + 3536*q + 21868 + (-2 + 2 - 2)*(2*q - q + q) to o + a*q and give a.\nAnswer: 3532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + sqrt(133)*-1 + sqrt(133)))\/sqrt(7)*6 - ((sqrt(2736) - sqrt(2736)*-1) + 5))**2.\nAnswer: 240*sqrt(19) + 10969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, r: 1, v: 1, x: 6}. What is prob of picking 2 w?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 2 + 17*c + 8)*(2*c - 4*c + 3*c) as l*c + z + q*c**2 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 831*f + 9 - 2 + 1024*f to the form w*f + y and give w.\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:18 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.784 - 1263.316. Round i to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:03 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*d**3 - 3*d**2 + 256\/5 - 96\/5*d.\nAnswer: -(d - 2)*(d + 16)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 9:22 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1031\/2 - 37213\/72. Calculate the common denominator of t and 2\/(-5) - (-9)\/((-2520)\/(-1352)).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 114284, 228566, 342848, 457130?\n\"Answer: 114282*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 3) + (0 - (2 + -242)). Let d = -239 + l. Solve d*k - 4*k = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 162, 325, 488, 651, 814?\n\"Answer: 163*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2\/265?\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1415 by 6.\nAnswer: 1415\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 119\/51*(-36)\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133*5.\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79 and 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.482045 hours to microseconds.\nAnswer: 19735362000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10. Let j = x - -5. Suppose -3*w - 87004 = h - 0*h, -j*h - 29020 = w. What is w rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -159, -320, -481?\n\"Answer: -161*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 169 (b) 0.33 (c) 0.3 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13855 and 652?\nAnswer: 55420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*w - 26, w + 2 + 4 = -3*i. What is the lowest common multiple of 3 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5577*q**2 - 9265*q wrt q?\nAnswer: -11154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -18\/31, 4, -1.33, 5, 10?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-447)\/(-4185) - (0 - 3). Let n = d + 4\/31. Let w(b) = b**2 - 6*b - 7. Let x be w(7). Are n and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20417 - -97504. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u\/(u\/(u*u**(1\/2))))\/u))**(2\/57)\/(u**(2\/15)*u**(-10\/3)) assuming u is positive.\nAnswer: u**(907\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from lkklk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 12*r + 14. Suppose -5*w - 41*g + 38*g - 9 = 0, 4*w + 15 = -5*g. What is x(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.516 or 6621?\nAnswer: 6621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 520 and 1360?\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-y + 3 - 3)*(0 - 2 + 3) - 2 + 5*y + 2 + 6*y - 2*y - y)*(-17 - 2*y + 8 + 14) to the form f + g*y + k*y**2 and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -138 in ascending order.\nAnswer: -138, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 41. Let v be b(16). Let i = 73 - v. Solve -x - 2*c - 1 = i, 3*c = x + 2*c - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 3. Let g be l(1). Let k = 0 - -35. Suppose k = 3*d + 2*d. What is the greatest common factor of g and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 11*y - 9*y. Calculate the common denominator of (y\/(-16))\/(12\/26) and -81\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, 7222, 19665, 37086?\nAnswer: 59485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuppupu. Give prob of sequence ppp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2268) + 2 - sqrt(2268)) + 1 + (sqrt(2268) + 0 + 0 - sqrt(2268)) + -5))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 47.96. Which is the third biggest value? (a) k (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*j = -122*j + 52. Sort j, 768, 5 in ascending order.\nAnswer: j, 5, 768","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 1, -3, 347\/5, 1\/2, -0.06?\nAnswer: 347\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 7*i - 6. Let u be f(-6). Solve 4 = 4*k - u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 67, 4 in decreasing order.\nAnswer: 67, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2744.2825 times 0.54?\nAnswer: -1481.91255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 269*b**2 - 5*b. Let h(y) = -54*y**2 + y. Let c(i) = -11*h(i) - 2*j(i). Does 19 divide c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 460516?\nAnswer: 460520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 298 = -118. Let a be (n\/21)\/((-540)\/(-280)). What is the biggest value in 0, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -3*i - 12*i. Suppose 68 = 7*m + i*m. Calculate the least common multiple of m and 130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(931) + -1 + sqrt(931) + sqrt(931) - (-2*sqrt(931) + sqrt(931))*5)*-1 - (-4 + 3*(1 + sqrt(931)) + 5))*4)**2 + -5.\nAnswer: 4928*sqrt(19) + 1802475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -364.9847878?\nAnswer: 365.2847878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5508 and 2376.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 9*w**2 - w + 5. Let l be r(9). Put 5, 2, l in descending order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*f**2*k - 27825*f**2 - 4*f + 4143251*k + 400 wrt k.\nAnswer: 31*f**2 + 4143251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amm when three letters picked without replacement from {m: 1, x: 3, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3792321 or 3792320?\nAnswer: 3792321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - w**5 - 3*w**5 + (6*w**2 - w**2 - 3*w**2)*(-2*w**3 + 3*w**3 - 2*w**3) + 0*w**2 + 3*w**5 + 0*w**2.\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2 - y - 13. Let s(u) = -5*u**2 - u - 12. Suppose 5*g = -0*n - 2*n - 2, 0 = 5*n - 4*g - 28. Let k(z) = n*f(z) - 5*s(z). Give k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 746 - 347. Suppose -6*b = -13*b + q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 440.29?\nAnswer: -880.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 6, s: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2947*n**2 - 13*n + 73. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y + 1. Let j(m) = -8*m**2 - 236*m + 232*m + 7*m**2 - 5. Calculate j(q) + 3*x(q).\nAnswer: 2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4, -2\/107, 0.2?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 7:41 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9682811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 85*q\/4 + 100.\nAnswer: (q - 80)*(q - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 192 + 2*y - 32 + (2*y + 3 - 3)*(-4 + 0 + 3) - y - 2 + 2 to o + x*y and give o.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/304552?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 48179.\nAnswer: -48178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 21 = -34. Let j be 0 + 4 + u + -3. What is the remainder when 48 is divided by 42\/j*(14\/(-3) - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let h(n) = -620*n. Calculate q(h(x)).\nAnswer: 1240*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61803 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.71372*-2348.\nAnswer: 4023.81456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.48 + 0.08. What is the second biggest value in 5, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 2, n: 1, a: 4}. Give prob of picking 3 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.939, -3, -828?\nAnswer: -0.939","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 60*z**3 - 116*z**2 - 102. Let k(a) = -21*a**3 + 39*a**2 + 36. What is -17*k(b) - 6*u(b)?\nAnswer: -3*b**3 + 33*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93095\/11 - 8463. What is the third biggest value in 0, 2\/73, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + m + 2*m + 2*m - 6*m + 3*m + ((0 + 0 - 1)*(-3 + 4 - 2) - 4 + 1 + 1)*(-30*m - 72343 + 72343).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 9:24 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*l**4 + (l**3 + l**2 - l**2)*(-4 + 4 - 2*l) + 3*l**2 + 8*l**4 - 9*l**4 + l**2.\nAnswer: -5*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82824 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -964, 471, 5 in descending order.\nAnswer: 471, 5, -964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*s**2 + 2*s**2 - 2*s**2 + 0*s**2 - 2*s**2 - s**2 + (0*s**2 - 3*s**2 + 2*s**2)*(-1 + 1 - 2).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + w = -187, 0*w = -3*x + 2*w + 115. Suppose -3*v - 2*v + 420 = -m, 0 = 5*m + 25. Let u = v + -63. What is the remainder when x is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -2*o**3 + 41*o**2\/2 - 77*o. Let p be m(3). Let f = -5 + 6. What is the nearest to -1 in p, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v**2 + v**2 - v**2)*(-2*v - 2*v - v)*(9008 - 18245 + 8799) in the form d + s*v**2 + u*v**3 + h*v and give u.\nAnswer: -13140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-3) - (3 - 1). Suppose -5*l - 19 = -c. Suppose 5*g = 4*n + 24, 19 = -4*n + 4*g - 1. Which is smaller: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3 - (-14)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 192*f + 33. Let n(p) = -12*p - 2. Let o(z) = 33*n(z) + 2*t(z). Let a(g) = -g**2. Calculate a(o(d)).\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36093 plus -1128?\nAnswer: -37221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16095, -16025, -15955, -15885?\n\"Answer: 70*q - 16165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(5\/(-166))*5. Suppose c - x - 30 = 0, -2*c + u = 3*c - x. Let f = 72 - c. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/(8\/12). Let l = 10.1 + -6.1. Which is the nearest to -2\/3? (a) 3 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.268 + -3.732. Which is the nearest to 0? (a) 0.8 (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 51 and 45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8749 + -8416. Calculate the remainder when 372 is divided by s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 19. Let g(r) = 5*r + 3*r + 3 - o*r + 5*r**2 + r**2. Let f(x) = -2*x**2 - 2*x - 1. Calculate -11*f(j) - 4*g(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.6, -1\/4, -50160?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, j: 3, z: 1, s: 2, b: 5}. What is prob of sequence zjs?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2628)\/24*(-20)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8645494261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*h**2 + 51*h**2 - 17*h**2 - 147*h**2 as j*h + a*h**2 + t and give a.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2\/7) + 436696\/(-734825).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -602*l + 176375. What is k(293)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (382 - 18)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547430314?\nAnswer: 2, 23, 673, 17683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + ((-23)\/(-1))\/(1\/25).\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 3 - 1 - 2*d + 5*d**3 in the form s*d**2 + p*d**3 + u*d + l and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/59321 or 1?\nAnswer: 16\/59321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 2*q**2 + 13*q - 4*q**2 + 12*q**2 - 16. What are the prime factors of z(11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -415\/8 (b) 3\/8 (c) 0 (d) -3\/5 (e) 5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -3. Let w(p) = 4*p. Let d be w(2). Let u = d + r. Solve 3*f - 5 = u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 4*i + 2. Let g be f(-5). Let q = -8 + g. Calculate the remainder when q\/((-3)\/15)*1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 4. Let m be b(4). Solve -2*i + w - 7 = m, 2*i + 0*w = 5*w - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 18*o**2 - 25*o - 9. Determine a(-16).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1334\/10 - 3)*(-36 + 1). Let c be (-3 - -2)\/((-4568)\/a + -1). What is c rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7046 + -7144. Sort -2, a, -4, 5 in descending order.\nAnswer: 5, -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/7)*(l*l**(2\/7))\/l*l assuming l is positive.\nAnswer: l**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 1. Let g(l) = -4*l**2 - 10*l - 3. Let i(p) = -g(p) + 5*j(p). Determine i(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1650 + 1653. Let z(s) = s**2 + 3*s + 2. Let i be z(-3). Suppose i = -2*b + 4. Sort c, -2, b in ascending order.\nAnswer: -2, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4916, 38511, 129696, 307265, 600012?\n\"Answer: 4799*s**3 + s**2 - s + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.376285 rounded to the nearest integer?\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56312 + -38010556\/675. What is the common denominator of v and -40\/297?\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 18*j**2 + 10*j - 13. What are the prime factors of l(-23)?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 o when three letters picked without replacement from lneinolfeeel?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l)*(158 - 158 - 112*l**2)*(-2 + 4 + 3)*(-2 + 1 - 1).\nAnswer: 2240*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*l - 32 = 5*s, -3*s + 5*l + 47 = 0. Solve 5*v - s = 2*y + 7, 5*v - 31 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46305295697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 3*w**2 + 41*w + 5. Let u be q(8). Suppose 3*z + 4*t - 14187 = 0, 7 - u = 2*t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -2. Suppose -3*c + n = 3*d, -4 - 6 = -2*c - 3*d. Let v be c*1\/(-2)*-2. Solve 0 = -4*j + v*o - 14, -j = o + 4 + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {f: 5, e: 3, s: 2, w: 3}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/11)*k*k\/(k\/(k**(-2\/9)\/k)) assuming k is positive.\nAnswer: k**(-31\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554*k = -556*k + 1824. What is the smallest common multiple of k and 96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/sqrt(640).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(-113 - 8*n - 232 + 3*n) in the form v*n + q and give q.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 970869143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + w**2 + 2*w**3 + 3*w**2 + 0*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-2002)\/(-7)))\/((-6)\/(-4))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/4)\/p)\/p)\/p*p**(-2\/7))\/(p*p**(-1)*p)**(4\/5)*(p**1)**(-50)\/(p*p**(2\/7)\/p*p**(4\/5)) assuming p is positive.\nAnswer: p**(-7759\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1667+-3297\nAnswer: -4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5182*a = 143293 + 132576 - 52937 - 15652 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/16*-1)\/((-42)\/28)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 5*r**2 + 4*r - 4. Let j be u(4). Let n = 8 + j. Suppose k - n*k - 5 = t, -2*t - 5*k = 5. What is the highest common divisor of t and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -227016740 from 0.\nAnswer: 227016740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -161. Suppose g = -0*h + 5*h. Suppose 5 - 5 = -2*u. Solve u*z = -5*z + h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -999*z + 994*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5747 is divided by 2868.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 + 4*z + 63 + 2*z**2 - 64. Let r be q(4). Suppose -18 = -6*l - 0. Put r, 4, l in increasing order.\nAnswer: r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*b**(2\/3))\/(b**(-1\/6)*b**(-4)))\/(b**(-38))**4 assuming b is positive.\nAnswer: b**(917\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47521659 is divided by 321092.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*x - 5*t - 9 = -469*x - 34, 0 = 2*x + 4*t - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -3. Suppose -2*h - 3*h = -20. Let z = v + h. Solve m - 3*p = 14, z = -4*m - 0*p - 2*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13. Solve f = -2*o + 1 + 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1780*d**4 - 343*d + 3.\nAnswer: 21360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 73080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5056812 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2 - 7*d + 5*d**2 + 4 - 18*d**3 - 8*d**2 + 12*d**3. Give u(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -1\/5, -2\/27, 62, -0.3?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13\/81, 0.1, -2\/11 in ascending order.\nAnswer: -5, -2\/11, -13\/81, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(34\/(-102))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Rearrange b**2 - 17*b**3 - 3*b + 2*b + 28*b**3 to the form f*b**2 + o*b + k + i*b**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2\/19)*r))\/r**7)**(-46)*(r*r**8*r**(-4))**15 assuming r is positive.\nAnswer: r**(7451\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*i + 48, -1173*x - 180 = -i - 1158*x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*t**2 + 14*t - 10*t**2 + 14*t**5 + 26*t**2 wrt t?\nAnswer: 280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-4))\/((-4)\/(1*-8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.2 (c) -5\/2 (d) -17845\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*m = 486*m + 20290 + 8102 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 864*l - 1869. Calculate r(4).\nAnswer: 1587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r - 70 = -64*r. Let z = 240 + -204. Solve -z = 4*n - 5*h, -2*n - 10 - 18 = -r*h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 30912.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*l + 33*l + 415*l - l**3 + 160*l + 133*l**4 + 63*l**4 wrt l.\nAnswer: 2352*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**5\/5 + 8*i**4\/5 - 8*i**2\/5 + 4*i\/5.\nAnswer: -4*i*(i - 1)**3*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1598.530946 and -2.\nAnswer: -3197.061892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.9 + -1.1. Let w = -6514\/11 + 592. Let t = -1 - -0.9. Which is the nearest to t? (a) w (b) v (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593 is divided by 2568?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (17 - 21 - (-4 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4836445*u**2 - 1169197 wrt u.\nAnswer: 9672890*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 5:46 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19708 and -89?\nAnswer: 19619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (162 - 104) + (-76 - -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/27453 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 102\/48 + (-2)\/1. Which is the biggest value? (a) 2 (b) -0.3 (c) 1\/6 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346930 times -4?\nAnswer: 1387720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 104. Is 3 a factor of q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u**3 + 2*u**2 - 5*u - 6. Let l be n(-1). Let h(c) = -c**2 + 22*c - 91. Let y be h(l). Solve -5*t = -y*d, -t + 3*t = -d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h**2 - 9*h + 13. Let l(r) = -r**2 - 2*r + 3. Calculate 9*l(t) - 2*s(t).\nAnswer: t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 88*h**2 - 2*h - 14. Let c(w) = -29*w**2 + w + 5. What is 11*c(y) + 4*v(y)?\nAnswer: 33*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*t**3\/15 - 784*t**2\/15 + 386*t\/15 - 16\/5.\nAnswer: 2*(t - 24)*(4*t - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -7. Let k(y) = -y**2 - 6*y - 4. Let h be k(b). Calculate the remainder when 16 is divided by 4 + 1 - (h - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430168953?\nAnswer: 3, 397, 361183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11147 and 4596332?\nAnswer: 326339572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 + 3 = 0. Let a be (z\/(-10))\/((-2)\/(-30)). Let m(n) = -n**3 - 7*n**2 + 11*n + 2. Is 12 a factor of m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (32 + -28 + -41)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288782?\nAnswer: 2, 13, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 189668011 to the power of 1\/2, to the nearest integer?\nAnswer: 13772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5015*b + 2452316. Determine h(-489).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -87. Calculate the remainder when z is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 105*b + 7. Let g(t) = -368*t - 23. Let v(l) = 2*g(l) + 7*p(l). Suppose 3*x + 0*z + 15 = -3*z, -5*x - z = 13. Let j be 5\/(15\/9) - x. What is v(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 56*d - 44 - 38 + 137.\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 602824233 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1264\/3 in 5, -4\/7, 3\/2, 2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8 = -t, -5*a - 4*t - 11924 = -11986 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n. Suppose -2*s + 71 - 15 = n. Suppose 4 = 5*h - 16. What is the highest common factor of s and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:47 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 390.7201 millilitres?\nAnswer: 0.3907201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f + 277 = 646 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1 - (-96)\/(-16). Let v = -5 - -2. Let h be v\/s - (-222)\/30. Solve -h = -q + 5*q - x, x = -3*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/397 or 5927?\nAnswer: -1\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 0.3, 2, -216 in increasing order.\nAnswer: -216, -4, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 0*q**2 + 0 + 1\/4*q**4 + 0*q**3 + 10*q. Let u(r) = -5*r**2. Give l(u(j)).\nAnswer: 75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29110000 rounded to the nearest 100000?\nAnswer: -29100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6695 + -6149. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 6*s**2 + 4*s + 2. Let c(a) = -2*a**3 - 21*a**2 - 8*a + 22. Let q be c(-10). Suppose 6 = q*t - t. Determine f(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 571242 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66283 - 0.2.\nAnswer: -66283.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 - 1733652*m - 136977231 = 0.\nAnswer: -79, 577963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4979337 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-3)\/((-309)\/(-101)). Let z = 212\/309 - n. Factor -2*h + 2*h**2 - z*h**3 + 2\/3.\nAnswer: -2*(h - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 + 54*q - 216 = 0. Calculate q.\nAnswer: 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6573, 13144, 19715, 26286, 32857, 39428?\nAnswer: 45999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:04 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*q**2 + 468*q**2 - 39 - 299*q**2 + 39.\nAnswer: -99*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -7 - 6) + -19 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/7 - 0)\/1)\/((-2424)\/(-56) - 46)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1000331404 (base 5) to base 6.\nAnswer: 110035220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 971190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/62))\/t)\/(t*t**(1\/2)*t*t)*(t*t*(t*t\/t**(-4\/11))\/t)\/(t**21\/t) assuming t is positive.\nAnswer: t**(-6861\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11612 or -11503?\nAnswer: -11503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*o + 622, -o = -11*h + 15*h - 502. Suppose -w + 8*w - h = 0. Calculate the highest common factor of 36 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 3*u**2 + 0*u**2)*(-1 - 2 + 6)*(-24 - 105 - 26).\nAnswer: -930*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248610645?\nAnswer: 3, 5, 5524681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaawvbez. Give prob of sequence bzw.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478188.\nAnswer: 2, 3, 37, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 757*l - 5264. Let s be a(-7). Solve -3*q + 12 = -4*k, 2*q = 85*k - s*k + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -791\/3 - -260. Which is bigger: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1976*r. Let o(s) = -s**2. What is o(j(k))?\nAnswer: -3904576*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121079050 a multiple of 3350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -19815*a - 99056. What is t(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.213 + 0.017. Let o = -1075916 - -1075915.7699935. Let x = j + o. What is x rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a meter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 0*g**3 - 12*g**2 - g**3 + g**3.\nAnswer: -3*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000715?\nAnswer: 5, 263, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*h = 20, z = 6*z - 2*h - 42. What is the tens digit of -5*z\/1*3\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -544739385806 + 69712478159895761\/127974. Let o = m + -1\/9141. Calculate the common denominator of o and 60\/(-8)*(-10)\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 106. What is i(38)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15010 is divided by 306.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 3 - 1 + 2*r**2 + 6*r. Let v(a) = -2*a**2 - 6*a + 3. Give -4*t(s) - 5*v(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-7))\/(1*13\/(-91))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(-31 + 19 - (-13 - -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5008 - 16771 + 6639)*(-3*r**3 + 0*r**3 + 5*r**3).\nAnswer: -30280*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681\/2 >= 840?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17989\/4697 - 5\/427. Let m = 48\/11 - f. Find the common denominator of -47\/56 and m.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - m**2 + 2*m + 3. Let s be -4*(1\/(-4))\/((-1)\/2). Give r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, m: 2, z: 1, y: 3, v: 2, p: 2}. What is prob of sequence pyv?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + (1 + sqrt(605))**2)*6*4 + -4 + 6*(-1 + sqrt(605) + -4 + -1).\nAnswer: 858*sqrt(5) + 14504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 12:37 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Suppose 2*x + 0*w + 4*w = -326, -171 = x - 2*w. Let q = x + 170. Solve 2*f - 2*v = -20, 2*f + 45 = -q*f + g*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by 16746?\nAnswer: -47\/5582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/8)*b*b*b*b**(2\/13))\/(b*b*b*(b\/b**1)\/b)**14 assuming b is positive.\nAnswer: b**(-2571\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2. Let g(c) = -5935358*c. Calculate g(l(s)).\nAnswer: 17806074*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(143)*-1 - sqrt(143)) + sqrt(143) - -2*(1*sqrt(143) + sqrt(143)))\/(-1*sqrt(44)*-5).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 2*k**2 + 0*k**3 + 0 - 1\/24*k**4 + 0*k. Let c(p) = -p**2. Give c(f(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -6842*b**3\/3 + 43*b**2 - b + 8007. What is the second derivative of k(p) wrt p?\nAnswer: -13684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*m**2 - 101*m + 198*m - 95*m as w*m**2 + t + q*m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 10*u - 728. What is the third derivative of u*x**2 - 21*x**2 - 14*x**3 - 3*x**3 wrt x?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*c - 91. Solve 15 = 3*v - 4*d, 5*d = v - 0*d - c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + (sqrt(17) + sqrt(272))**2) + 2.\nAnswer: -1698 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2070675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Find the second derivative of 4*o**4 + 15*o**4 + 3*o**d - 10*o + 0*o wrt o.\nAnswer: 264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (111 - 63) + (0 - -6) + -4 - 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.047473 at least as big as -2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.113 + 1.02. Let h = 0.03 + t. Round h to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c. Let z(s) = -11*s**2 + 2. Calculate z(p(a)).\nAnswer: -396*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 4. Let i be z(3). What is the first derivative of -3*d + 4*d + 12*d + i + d wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22726776337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25629, 51271, 76915, 102561, 128209?\nAnswer: 153859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 3*f**2 - 4*f + 3. Let d(i) = 6*i**3 + 57*i**2 - 349*i + 527. Let t(g) = -14*b(g) + 2*d(g). Factor t(k).\nAnswer: -2*(k - 23)*(k - 11)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*s = 1224, -2*q + 4*s - s + 587 = 0. List the prime factors of q.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 + 2213\/14. What is the third biggest value in u, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -2.9. Let q = n - 1.2. Is 28 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38.5 and 7664.\nAnswer: 7702.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3486, -3426, -3370, -3312, -3246, -3166, -3066?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 882 = 2*o, -23*u - 4*o + 878 = -24*u. Let v = 4431\/5 + u. Factor 0 + 2\/5*l**4 - 2\/5*l**2 + v*l - 1\/5*l**3.\nAnswer: l*(l - 1)*(l + 1)*(2*l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 4. Suppose -5*y = -5*k - 10, -4*k + k + 9 = 2*y. Let w be 1 + (-5 + y - 4). Is 16 a factor of a(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5286*c**2 + 144*c + 14 wrt c.\nAnswer: -10572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17556?\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3768723 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 + 24*l**2\/5 - 32*l\/5.\nAnswer: -2*l*(l - 2)**2*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67\/4 of a tonne?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (-4*1*sqrt(65) + sqrt(65)) - sqrt(65)))\/(sqrt(45)\/(sqrt(9)*-1)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w*w**(3\/8)*w))*w)**(-24)*(w*(w\/(w*w*w**(-4\/21)))\/w)\/(((w*w**(-28)\/w*w)\/w)\/w))**(-2\/85) assuming w is positive.\nAnswer: w**(3226\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8951341 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: Simplify ((i*i**(-6))\/(i*i\/(i\/(i**(-7)*i)*i)))\/(i**(3\/5)\/i**(-2))*(i**(-7)\/((i**(3\/10)*i)\/i))**(-39) assuming i is positive.\nAnswer: i**(2831\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = 9*w + b - 25, 3*w - 3*b = -30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 7 = -3*q - 2*q + 2*t, -57 = 2*q - 5*t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (4 - (26 + (5 - -7)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 612\/663*(-26)\/(-156)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -32, -1, -5 in descending order.\nAnswer: 3, -1, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/3 (b) -7 (c) -6\/271 (d) -94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Simplify (((i\/(i*i**(1\/6)*i))\/i)**41\/(i\/(i\/(i*i**(1\/14)*i*i)))**47)**(-2\/33) assuming i is positive.\nAnswer: i**(9794\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 176*m**3 + 2356*m**2 + 8664*m.\nAnswer: 4*m*(m + 6)*(m + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -372\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m + 139*m + 7210 = 32*m - 29*m for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2571855, 5143675, 7715491, 10287303?\n\"Answer: -2*l**2 + 2571826*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 - -115. Let q be 11237\/119 - (-6)\/f. Suppose 2*k = -y + q, 4*y - 4*k - 394 = -66. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 17253 = -3*m, -3*j - 3*m = -0*m - 10347. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = -0*q + 12692. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 take away -2929113089?\nAnswer: 2929112848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 825\/2 + -481. Let y = b + 227\/3. Calculate the common denominator of 62\/22 + (-5)\/(-5) and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:24 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -4*j**3\/3 + 2*j. Let t(w) be the second derivative of -1 - 50*w + 0*w**2 + 0*w**3 - 1\/3*w**4. What is v(t(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2)\/q**3)**(-24)*((q*q**(3\/11))\/q*q**3)**(-4) assuming q is positive.\nAnswer: q**(-144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/((-21)\/(441\/(-24))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3*(-12)\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107307?\nAnswer: 3, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2512 + -32035?\nAnswer: -34551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Let d(g) = -811*g**2 - 129765*g + 129765*g - 198*g**2. What is d(i(v))?\nAnswer: -1009*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 9) in base 3?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*d - 5, 4*o + 8 = -4. Let n(z) = 2*z - 25. Let g be n(13). Let p be ((-28)\/(-7))\/(g\/d). Solve 0 = p*b - 7*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -7*l**4\/12 + 9*l. Let n(s) = 3*s. What is h(n(x))?\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -9*q - 67. Sort -4, 5, 2, q in increasing order.\nAnswer: q, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/4*(-16)\/(-5). Suppose -4*q - 14 = 2*p, -4*q + 7*q = 3*p - o. Solve -p*x - 5*h = -19, -6*x + 2*x = h - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 + -12?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3539538.\nAnswer: 2, 3, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58571.9976499 - 58572. Round j to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (60\/(-804))\/((-2)\/6) and 31\/9?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41, 0, -0.1, 11, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*h = -52, 3*h + 1 = 2*g - 20. Suppose 4*u - 45 = -u. Let t = u - 7. Solve -4*c - 4*q = -g, 0 = -t*c - 6*q + 5*q + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -2*((sqrt(110) + (sqrt(110) - 1*sqrt(110) - sqrt(110)) - sqrt(110)) + sqrt(110)) - sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -558 + (-2 - (0 + -3)). Let i = q - -810. Suppose 5*k - i - 182 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -385*z**5 - 457*z**5 + 1304*z + 769*z + 148*z**5 - 755*z wrt z?\nAnswer: -13880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -105824042?\nAnswer: 105824060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 209*o - 208*o - 18053, 2*k = -8. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z + 62. Let g be p(-19). Let f(j) = 31*j**2 + 23*j + 59. Is f(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5. Let l(y) = -2*y + 2. Give -5*f(g) - l(g).\nAnswer: 2*g + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.077 (b) 151\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 22*b - 6. Let j be q(-12). Suppose -j = 7*x - 32. Solve 28 = x*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 18*c**4 - 4565*c**3\/2 - 34541*c**2\/2 - 11084*c + 3886 = 0.\nAnswer: -58\/9, -1, 1\/4, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 19*a + 17. Let q be r(-19). Suppose -2*y - q = -3*y + 5*u, 5*u = 4*y - 68. Solve -2*j + 7 = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 plus -895?\nAnswer: -894.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -434 - -448. Which is bigger: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + ((sqrt(343) + sqrt(343)*1)*-4 - sqrt(343))**2)*5*4 + (sqrt(343) + 6*sqrt(343)*3 + 1*-3*sqrt(343))**2)*-2.\nAnswer: -1286936 - 280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-9 + 2 - -3) + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3504 - -3511. Solve -4*u = 4*r - 32, 5*r - h*u - 19 = -5*u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3245, -6489, -9733, -12977?\nAnswer: -16221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*n - 85 = -437*n. Suppose 2*m + 13 = 101. What is the remainder when m is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -22. Let i be 18\/(-24) + n\/8. Let v = 9 + i. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:45 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 13. What is the derivative of 7 - 5 - 6*y**n + 0 wrt y?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 - 25*t**2 + 49*t**2 - 201*t**2)*((-7*t + 3*t + 2*t)*(1 - 1 + 2*t) - 3*t**2 - 2*t**2 + 4*t**2).\nAnswer: -10*t**5 + 885*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s + 6 - 9 + 1.\nAnswer: -15*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Let h(r) = -6114236*r. Give q(h(z)).\nAnswer: 37383881863696*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) -282 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 58 = -34. Sort 0, -14, t in decreasing order.\nAnswer: t, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138056, 138518, 138980, 139442?\nAnswer: 139904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-2 - -6) - (0 - -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 986202\/56 + 2\/24*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67150449 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -2\/43 (c) 0.2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 9. Let i be (-1 - -2 - -13)*n. Let z = -8 - i. Which is greater: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 581.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {f: 1, y: 1, u: 1, o: 1, e: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 2*s - 3*s)*(4 - 2 - 3) + 135*s - 348*s + 1 + 9*s.\nAnswer: -206*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -2 (c) -0.06 (d) -1\/3 (e) 1343\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 2)*(-5*h - h + 3*h)*(2*h**3 - 2*h**4 - 2*h**3).\nAnswer: 42*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.8 and 11168.\nAnswer: 11165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2219.3409 to the nearest integer.\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3728 - -3745.91. Let h = 18 - x. Round h to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7038 and 1564?\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 12*n**3 + 15*n**3 - 2*n**4 + 4*n**3 + 3*n - 6*n as x + c*n**4 + z*n**3 + h*n**2 + l*n and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*k + 64 = 0, 0 = k + 2 - 4. Let a(i) = -14*i**2 + 2*i. Let d(c) = -c**2. What is b*d(g) - a(g)?\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.64 - 0.6. Let v = -0.04 + n. Which is the nearest to v? (a) -5 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*h + 66*h - 2*h + 157*h**2.\nAnswer: 157*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1210104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.790701906 rounded to five decimal places?\nAnswer: -0.7907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 87726823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 31*r - 86. Let d be w(-18). Let k = d + -133. Is 14 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119\/232 + -4\/29. Let q(u) = -u**3 - 9*u**2 + 12*u + 19. Let n be q(-10). Let m be (((-9)\/6)\/n)\/((-15)\/10). Is p at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -14861.3, 30, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 8 + 6*y**2 + 5*y + y**2 + 2*y**3 - 2*y**3. Let s be (-21)\/(-9) + 12\/18. Suppose -5*l = f + 21, s*f + 42 = -2*f - 4*l. Calculate j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -120, -188, -274, -384, -524?\n\"Answer: -p**3 - 49*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/27, 2\/3, 0.3, 0.1, 8.57 in increasing order.\nAnswer: -1, -2\/27, 0.1, 0.3, 2\/3, 8.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 5*f**2 + f**2)*(5 - 2 - 4)*(768*f**3 - 206*f**3 - 1372*f**3).\nAnswer: -1620*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -17054*l - 289911. Determine c(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*a**3*m - a**3 + 110*a**2*m - 101316*m wrt a?\nAnswer: 48*a**2*m - 3*a**2 + 220*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -63*t**2 - t - 12. Is o(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 56*i**3 + 10621*i - 10621*i. Let k be -1*2 - (-6 + -2). Let b(j) = 5*j**3. Calculate k*w(m) - 68*b(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/3 + 288*t**4 + 1742*t**3\/3 - 2596*t**2\/3 - 1160*t + 3472\/3 = 0 for t.\nAnswer: -2, 1, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(15\/(-9) + (8 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102002 + 12?\nAnswer: -101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2267549640 to the power of 1\/2, to the nearest integer?\nAnswer: 47619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.303596 - 53525\nAnswer: -53525.303596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/43)\/(u*u*u**(2\/9)\/u)*(u**(-7))**18 assuming u is positive.\nAnswer: u**(-49253\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 632832 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 3 = -1299. Let c be 4\/((-32)\/m) - 7. What is the nearest to c in 0.4, 5, 0.26?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 9*x - 10. Suppose 0 = 3*l - 4*s - 5 - 4, 0 = 3*l - s - 18. Calculate w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-45)\/5*12\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1.5, -0.11, -1\/4 in ascending order.\nAnswer: -3, -1\/4, -0.11, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -17*z - 288. Let g = -55 + z. Let a be (-2 + (-20)\/g)\/(3\/168). What is the highest common factor of 24 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4487 - 4487.2. What is the nearest to -0.09 in r, 3, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 7 - 9. Let f be b\/15 - (-146)\/30. Let a(p) = 2*p + 13. What are the prime factors of a(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1238069906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3) + 32\/6. Let f = 9 - c. Solve 0 = w - f*i + 14, -7*w + 2*w = -5*i + 30 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-4\/3)\/r*r))\/((r*(r**(-2\/57)\/r)\/r*r)\/r)*(r\/(r\/r**1))**17 assuming r is positive.\nAnswer: r**(368\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/406 and 31\/3111178?\nAnswer: 3111178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 5:13 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.4904497s to hours.\nAnswer: 0.00235845825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 2*o - 6. Let m(t) = -2*t**2 + 3*t + 4. Calculate 6*m(h) + 5*q(h).\nAnswer: 3*h**2 + 8*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 110925 <= 461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let j(s) = s. Let u(f) = 26*f. Let z(c) = -4*j(c) + u(c). Calculate z(y(l)).\nAnswer: 44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/4 + 279*v**2\/4 - 17835*v\/4 - 231275\/4 = 0.\nAnswer: -11, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 40 = -0*n. Let q = 0 + n. What is the greatest common divisor of q and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - sqrt(77)*2)*2 - -1*2*sqrt(77))\/(-3*1*sqrt(63)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 69453080.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 910 and 8745695?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - 4 + u**2 - 2*u**2 + 4*u + 3. Let n(t) = -4*t**2 + 11*t - 8. Let x(r) = 3*d(r) - n(r). List the prime factors of x(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -249?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(1331)*5)*-4.\nAnswer: -4*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-742)\/(-5 - -3) + -3. Let t = 568 - q. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*f*o**4 - 12*f*o**3 - f*o**2 + 22*f*o - 9*o**3 + 2*o**2 - 24*o wrt o?\nAnswer: 2664*f*o - 72*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3\/4, -273, 1048?\nAnswer: 1048","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34261466 (base 7) in base 13?\nAnswer: -808b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1019895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 173726718 to the power of 1\/4, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -9)*1\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2 - 3*z + 10. Let y(p) = -11*p**2 - 4*p + 9. Determine -6*x(d) + 5*y(d).\nAnswer: -d**2 - 2*d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00295357296 rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + t - 5, -2*r - t + 6*t + 35 = 0. Suppose -r*y - 54 = 2*x - 1416, 4*y - 5*x = 1083. What is the greatest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/100 + 3*x**4\/20 - 4*x**3\/5 - 730*x**2. Factor v(z).\nAnswer: -3*(z - 4)*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 423549 and 11617344?\nAnswer: 81321408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*1)\/(248\/(-32)). Is 0 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1979921 and -0.59?\nAnswer: 1979921.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-28))\/(506\/(-308)). Let h = -0.3 + -0.2. Let s = 0.8 + h. What is the third smallest value in b, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 19*k**2 + 18*k - 17. Determine y(-18).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/63*(-4 + 9\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/9 - 60*g**4 + 8198*g**3\/9 + 67064*g**2\/9 - 263072*g\/3 + 1699456\/9 = 0?\nAnswer: -284, -11, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 696080580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 - 13215*p**2\/2.\nAnswer: p**2*(p - 13215)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1169 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50265 and 1530?\nAnswer: 1709010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/12 and (385\/(-25))\/(32\/10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)\/(x\/(((x*x**(-4)\/x)\/x)\/x)))\/(x*x*x**(1\/4)\/x*x*x**9) assuming x is positive.\nAnswer: x**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -42*c**2 - 5*c - 3. Let r(g) = g**3 + 128*g**2 + 15*g + 10. Determine 7*o(i) + 2*r(i).\nAnswer: 2*i**3 - 38*i**2 - 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 74*t + 77*t + 76*t - 292*t + 67*t. Let o(n) = 1571*n**2. What is k(o(f))?\nAnswer: 3142*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -16 - 14. Suppose 5*b - m + 5 = 0. Factor -2*r**3 - 2*r + 3*r + r**3 - r**b + r**4.\nAnswer: r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (81 + 15)\/4 - 47?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 7*v**4\/9 - 173*v**3\/9 + 706*v**2\/9 + 276*v + 72 = 0.\nAnswer: -2, -2\/7, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 0.2. Let f = 6 + -4. Let l = f - 1.9. Is l greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-15) - (-14)\/(-35))\/((-1)\/1). What is the second biggest value in 3, x, 2\/15, -0.5, 1\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 46044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 12, 21, -8902, 1 in descending order.\nAnswer: 21, 12, 1, -3, -5, -8902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 - -816\/5. Let z = -55 - -55. Suppose 4*v - 21 = -d, -3*d + 22 = -d + 3*v. What is the biggest value in p, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16*r. Let s(k) = -134 + 151*k - 152*k + 134. What is -2*q(t) + 56*s(t)?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15497, 14013, 11541, 8081?\nAnswer: 3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/4 - 4529*g\/2 = 0.\nAnswer: 0, 9058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 5*o**2 + 2*o + 4. Let y(k) = -2*k**3 - 6*k**2 - 4*k - 3. Let u(l) = l - 1. Let b(n) = -2*u(n) - y(n). Give -4*b(p) + 5*w(p).\nAnswer: 2*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10468, -10569, -10738, -10975, -11280?\nAnswer: -11653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 8880 = -15*r + 5*w, 7112 = -4*r - 4*w. Which is smaller: r or -1776?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3776, -7554, -11332?\nAnswer: -15110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**2 - 34*k - 4. Let r(i) = 10*i**2 - 31*i - 2. What is -12*r(o) + 11*w(o)?\nAnswer: -32*o**2 - 2*o - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(1 + -1 + 1). Let a(d) = -7*d + 51. Let b be a(7). Put 5, p, b in descending order.\nAnswer: 5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 18*w**2 - w - 23. Let s be x(-18). Let i be ((-1)\/3)\/((-3)\/(-36)). Put s, i, -22 in descending order.\nAnswer: i, s, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) + (3\/2 - 325\/30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/192*3*2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:25 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -329 - 0.2.\nAnswer: -329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 5*u**2\/2 + 10*u - 2. Let f(l) = l - 20 + 30 - 18 + 6 - 2*l + 0*l. Let r be 6\/33 + (-24)\/11. Calculate r*q(v) - 11*f(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 64750948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xnxe when four letters picked without replacement from {n: 6, x: 8, k: 1, e: 4}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 7. Let w be d(-5). Is 20 a factor of ((-52)\/w)\/(1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 8 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 7*d. Let v be n(3). Let f = -101 + v. Calculate the remainder when (-28)\/(-70) + f\/(-5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 0*u**5 - 3*u**5 + 718 - 718 + 480*u**5 + 2*u**5 - 4*u**3 + 4*u**3 + (-u + 2*u + u)*(u**4 - 2*u**4 + 3*u**4).\nAnswer: 484*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**6\/720 + 7*x**5\/60 - x**4\/4 + 2*x. Let p(i) be the third derivative of l(i). What are the prime factors of p(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/32*2*3)\/(380\/(-3040)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*x + 4\/5*x**5 + 0 + 0*x**4 + 0*x**2 - 8\/5*x**3.\nAnswer: 4*x*(x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 158\/(-553) - 55\/77. Let w be ((-1)\/(-30))\/(34\/18). Is r < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26, 5, -27\/7?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33416924 + 33416924 - 7*t + 3*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 620 + 380. Suppose 9*p - 548 = 82. Calculate the highest common factor of i and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*y - 24, 6*y = 2*y + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 16 + 1\/1. Suppose w = 5*s - 6. Suppose 0 = -s*r - 0 + 10. What is the third biggest value in r, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -1244033401?\nAnswer: -1244033342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68047 + -38671. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 2279*r + 2279*r - 4*r**3 - 168*r**2 + 3*r**3.\nAnswer: -3*r**3 - 168*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*n = -85, 4*w - 4*n - 51 = w. Suppose 5*b = w + 8. Suppose -b*x + 15 = -2*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 7*r**2 + 7*r + 5. Let w be v(6). Let y = 13 - w. Let z = 0.06 + -0.36. Which is the third smallest value? (a) y (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 829280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 16*g**2 + 5*g - 19. Determine c(-6).\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**6\/120 + 11*o**5\/30 + 11*o**4\/12 + 5*o**3 - 175*o**2. What is z(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 140266?\nAnswer: -140260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 2*k - 224. What is the second derivative of k*x**4 - 16*x**2 + 16*x**2 - 36*x wrt x?\nAnswer: 336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 5118*z**4 - 66934*z**3 + 159438*z**2 + 66932*z - 154320 = 0.\nAnswer: -15, -1, 1, 2, 2572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11 - 9)*6\/45*6)\/(301\/(-9030)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 467*p + 3331. Give n(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - 3*d**2 + 6*d**2)*(-d + 0*d + 4*d)*(23*d - 11*d - 7*d + 8).\nAnswer: 30*d**4 + 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(190) - (sqrt(190) + (-2*sqrt(190) - sqrt(190))))*-5*6)\/(5*4*(sqrt(10) + (sqrt(10) - sqrt(20)\/sqrt(2)))).\nAnswer: -9*sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/2 - 78*q**3 - 231*q**2 - 230*q + 8373. Factor s(u).\nAnswer: -2*(u + 1)**2*(u + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 22*q - 27. Calculate the least common multiple of 45 and k(9).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllflllffl. Give prob of sequence fl.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 61.4769 and -0.0124531.\nAnswer: 61.4644469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 3*s + 3*s)*(0 - 1 + 4) - s - s - 3*s in the form u*s + d and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 9*b + 3. Let w be i(9). Suppose q + 4 = 3*q. Find the first derivative of q + l**2 - w - 2*l**2 wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(23453\/2495)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -132 - (71 + -58 + 10)) + 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10 - 3 - 5*p + 12. Suppose 5*j + 4*f + 554 - 191 = 0, 5*j + 5*f + 365 = 0. Let w = -70 - j. Give g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/13, 0.11, 0.5, 3, -2, -252\/53?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -13, -42, -105, -214, -381?\n\"Answer: -2*k**3 + k**2 + 4*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 4:25 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -20, -6*s + 646 = -5*a + 607 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24260 + 24260.12. Is q equal to -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -13\/4. What is the third biggest value in -2\/43, 0.02, j?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59498 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9088.327t to grams.\nAnswer: 9088327000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -15*1*(-1 + -2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 68 (b) -3 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2360\/885 - (-316)\/12?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2524)\/(-54266)*((-2)\/(-3))\/((-4)\/6).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -55*f + 76. Let x(s) = -55*s + 75. Let o(i) = -4*g(i) + 5*x(i). Find the first derivative of o(r) wrt r.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19542511 divided by 3.\nAnswer: 19542511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 + 2*c + 1. Let l be q(-2). Let x be 42\/(18\/4 + l). Let u = 65 - x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*o - 69, 2*i - 12 = 6*i. Let x be (-1)\/(9\/o - 1). Factor -s**2 + 2 + s**2 + x*s + 2*s**2.\nAnswer: 2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 50 + 0*q - 42*q**2 + 0*q.\nAnswer: -42*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9114 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -25 + (22 - (-15 + 15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, p: 2, t: 12}. What is prob of picking 1 t and 2 p?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 322 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2215137 times 1\nAnswer: 2215137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 5*o - 1. Suppose 6*a - 9 = 3*a. Let t(v) = -7*v + 2 + 0*v**2 - 3 + 10*v - 7*v + 2*v**2. Determine a*t(f) - 2*x(f).\nAnswer: 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8836 and 138453493.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - y + 33, 5*z + 2*y - 34 = 48. What is the greatest common factor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*r**3 - 254*r**3 - 248*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2730 and 6643.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -113, 1.\nAnswer: -113, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -429 + 437. Calculate the remainder when 26 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y. Let b(s) = 1205*s. Determine b(h(p)).\nAnswer: 1205*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4596 - 4600. Let k = -0.78 - 0.02. Which is the smallest value? (a) k (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(2\/27))\/c)\/c**(-2\/45)*(c*c**11)\/(c*c*c*c\/(c*c*c**(-19\/2)\/c)) assuming c is positive.\nAnswer: c**(167\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/6*3\/2. Suppose 0 = -f - 0*f + c. Let l be 0\/(1 + 2\/f). Let m(x) = x - 3. Give m(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {t: 4, v: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -330, -1101, -2592, -5043, -8694?\nAnswer: -13785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97222207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74651 is divided by 7465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/8225 and 19\/70?\nAnswer: 16450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 112. Let y = -57 - r. Solve y = 2*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l. Suppose 0*b = 2*b. Suppose b*j - j - 1 = 0. Calculate m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 - 2916*a**4 + 1426780*a**3 - 238925200*a**2 + 2283695250*a - 5621877500 = 0.\nAnswer: 5, 478, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4*(-4)\/16 - 6) + 3001.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -860 - -1067. What are the prime factors of z?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132.8 + -140. Let o = v + 7.2. What is the smallest value in 7, o, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (-1)\/(-1) + 0. Let a(j) = -4*j + 0*j**2 - 3*j - j**2. Calculate a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 6. Suppose 2*f = 29 + 11. Suppose -36 - f = -7*a. Calculate the smallest common multiple of a and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 - 123*m - 535. Determine t(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, i: 3, k: 1, g: 4}. Give prob of picking 1 i and 2 t.\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 5620.\nAnswer: -5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 0 - (0 + -2). Let m(f) = f**3 + 2*f**2 - 12*f - 14. Let p be m(-4). What is the third derivative of 0*y - 2*y**4 + j*y + 5*y**4 + 5*y**p wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25601 + 1051?\nAnswer: 26652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 122\/17, -4\/7?\nAnswer: 122\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161437543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p + 5. Let a be u(-6). Let o be 1 - -1 - (a - 123). Suppose 0*q + 5*q = -i + o, -q + 5*i = -50. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35596297*d*g + 18498777*d wrt g.\nAnswer: -35596297*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 2*r - 5*r + 2*r. Let a be m(-5). Put a, 0, -3 in descending order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8072054.999953 + 8072069. Let t = -207.5 - -193.5. Let o = t + r. What is o rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 12*j + 8. Let k(q) = -q**3 - 7*q**2 - 3*q + 3. Let b be k(-6). Let v be w(b). Let f = v + -60. Are -9 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11*c + 1. Is t(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51202?\nAnswer: 2, 25601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11414 and 667654.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/3 - 85579*j**3\/3 + 3250919*j**2\/3 - 30880301*j\/3 = 0 for j.\nAnswer: 0, 19, 85541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -0.1, 111, 2 in descending order.\nAnswer: 111, 2, -0.1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 838 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -11*i**4\/24 - 31*i**2 + 3*i. Let q(f) = 10*f. Give a(q(v)).\nAnswer: -110*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 - 269.31. Let a = 0.59 - s. What is a rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -9. Let v = q + 7. Let z = v + -2.05. Round z to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894746720 divided by 55921670?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0 - 4 + 5*w)*(-2*w - 5*w + 5*w).\nAnswer: -6*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16\/12*(-21)\/(-98)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.4 + 4.4. Let c = 0.2 + -3.2. Let m = q - c. Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43623025*r**3 + 34856434*r wrt r.\nAnswer: -261738150*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 1, s: 1, n: 2}. What is prob of sequence nsi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 112683000 rounded to the nearest 100000?\nAnswer: 112700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 90, 91?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6785*u - 20 = 6788*u - q, 6*q - 30 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in -3\/4, 5, -1\/3, -0.017, -0.07?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 683683 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1672 and -1672 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u**2 + 2*u + 75. Let h(b) = -18*b**2 + 4*b + 150. Let r(l) = 2*h(l) - 5*j(l). Does 21 divide r(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 3151*i**2 + 7*i - 3151*i**2 + 2*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2463957, 2463958, 2463959, 2463960?\n\"Answer: v + 2463956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 18*y + 33. Let u be n(17). Solve -2*l = 2*l - u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2 + 3*p. Let q(w) = w**2 + w. Let u(t) = -j(t) + 3*q(t). Let z(f) = 6*f**2. Let d(y) = -5*u(y) + 6*z(y). Let x(s) = 14*s**2. Calculate d(x(n)).\nAnswer: 196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1081476540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13832636 is divided by 2203?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 69*t**2 - 394*t - 255. What is h(-6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 1 - 177*l**3 + 0 - 55*l + 54*l in the form a + w*l**3 + f*l**2 + y*l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g + 124*g = -108*g + 5172993. Are 32950 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 0 + 0*z**2 + 4*z - 1\/12*z**4 + 0*z**3. Let d(i) = -2*i**2. Determine d(q(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 15, m: 5}. Give prob of sequence lm.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(96)\/sqrt(4))\/(sqrt(24)\/(-6*sqrt(8)*-3)) + -5.\nAnswer: -5 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**6\/300 - 7*t**5\/150 + t**4\/4 - 3*t**3\/5 - 2*t**2 - 2*t. Let c(f) be the first derivative of i(f). Factor c(h).\nAnswer: 2*(h - 3)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15058.\nAnswer: 2, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 11. Let v(p) = 2*p - 6. Let l be v(4). Suppose l*j = 13 + c. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lssswsszwsl. What is prob of sequence wl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 57.3. What is the closest to 0 in u, -1\/6, 1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 1:34 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - -510810266?\nAnswer: 510810316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -919 minus -16.84?\nAnswer: -902.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*r + 3*h, 23*r + 4*h - 15 = 28*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*r + 6 = 4, -10 = 4*t - r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-25)\/5)\/(((-1136)\/88)\/71).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 - 4*n + 5. Let p(i) = -i**2 - 1. Let d(x) = -o(x) - 2*p(x). Let m(c) = 14*c**2 - 11*c + 9. Let f(g) = -17*d(g) - 6*m(g). Determine f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + (3 - (1 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220 - -60. Is -10*(y\/25 + 2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160356 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -0.1, 0.34, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 8*c - 9*c + 65 - 79 + 2*c.\nAnswer: -15*c - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/q**6)))**28 assuming q is positive.\nAnswer: q**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 - -117. Let q(z) = 2*z. Let t(k) = 2*k**2 - 10*k. Let l(v) = m*q(v) - 2*t(v). Let p(y) = -14*y**2. What is p(l(a))?\nAnswer: -224*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 441 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088077012 to the nearest integer?\nAnswer: 32986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 2*g - 2. Let m = -11643 - -11647. Let i(a) = -4*a**2 - a + 2. Calculate m*i(b) + 5*l(b).\nAnswer: 4*b**2 + 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 + 10*d**2 - 9*d + 2. Let v(p) = 3*p**3 + 7*p**2 - 6*p + 1. Suppose 1 - 16 = -3*s. Let z(w) = s*k(w) - 8*v(w). Let j = 2472 - 2467. Give z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1017, 3520, 10309, 23526, 45313, 77812, 123165, 183514?\n\"Answer: 357*b**3 + b**2 + b + 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-6)*6\/45\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-10) + (42\/(-15) - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 4*l**5 - 5*l**5 + (l**4 - 8*l**5 - l - 14*l**5 + 2*l)*(1 + 5 - 3).\nAnswer: -68*l**5 + 3*l**4 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4829\/(-11) - (3 + -14 + 3). Which is bigger: s or -447?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161596 and 52114.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((8 + -8)\/2)\/2. Let w(t) be the first derivative of t**3 - t**2\/2 + 12*t + 1. Let y be w(a). What is the highest common divisor of 36 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 < -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1642, -6756, -15340, -27388, -42894, -61852, -84256, -110100?\nAnswer: -139378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 411, 401, 387, 369, 347?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410843 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 63858765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**4\/42 - 220*r**3\/7 - 659*r**2\/7 - 8*r - 122. What is x in z(x) = 0?\nAnswer: -659, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54510, 54509, 54508?\nAnswer: 54507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1103578 divided by -551789.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2 + 627*l - 627. Calculate z(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33203.\nAnswer: 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*u**2 + 4 - 11 + 9 + 377*u**2.\nAnswer: 563*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*r + 161*r - 120 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 44*y + 308 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201201 (base 4) to base 11.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45 - 18.55. Let r = 63 - 79. Let s = p - r. Sort 0.1, -2\/7, s in descending order.\nAnswer: 0.1, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13738286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -8*u + 53. Let n be d(8). Which is smaller: -0.3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 23*g**2 - 23*g + 30. Give h(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15)*(-8)\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 914 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 117 = 4*i - k, 3*i - 2*k - 177 = 0. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1290 and 12?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:02 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598848 is divided by 299423.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 45053 - 31267 = 0. Does 55 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 194694769 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -5.087?\nAnswer: 25.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 21. Let y be 22\/8 + 2\/d. Find the third derivative of 0*p**3 + 3*p**3 + y*p**2 - 4*p**2 wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*o - 4. Suppose o*l + 2*u = -2*u - 8, u = -2*l - 5. Let h(t) = -3*t - 4. Let r be h(l). Which is the biggest value? (a) r (b) 3\/5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 2238704\/(-78089) + (-35)\/(-55)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -0.72, -1\/5?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1420358 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35013 + -12884797\/368. What is the common denominator of u and 64\/115?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 3*u + 5*u)*(5 - 5 - 2*u**2)*(-4 + 2 - 3) to q*u**3 + b + r*u + y*u**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**3 + o**2 + 8*o - 7. Let d(x) = -12*x**3 - 3*x**2 - 23*x + 19. What is 3*d(b) + 8*n(b)?\nAnswer: 4*b**3 - b**2 - 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 54, 41, -20, -147?\n\"Answer: -3*x**3 + 3*x**2 + 29*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 39 = -53. Calculate the remainder when 75 is divided by (18 + -19)\/(f - (-39)\/21).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/((-18)\/(-162)). Calculate the highest common factor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -14*s + s**3 - 3*s**2 + 7*s + 10*s**2 + s**2 + 9. Let y be x(-9). Let j(l) be the first derivative of -l**2\/2 - 13*l + 1. What is j(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 209 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41982172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20646.\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -63, -117, -179, -243, -303, -353?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-56)\/16*(-292)\/7. Let c = r - 81. Suppose 0 = 3*v + c - 212. Is 34 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*v**2 + 80 - 224 + 68 + 73.\nAnswer: 108*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 23948b8?\nAnswer: 23948b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 6:46 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 1. Let j be d(1). Let s(w) = j*w + 1 - 4 - 2 + 3. Let y(b) = 5*b - 6. Calculate -8*s(n) + 3*y(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l - 27. Let i = -240 + 254. Calculate the remainder when (l\/12)\/((-2)\/144) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:34 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -288515, -577083, -865697, -1154351, -1443039, -1731755, -2020493, -2309247?\n\"Answer: f**3 - 29*f**2 - 288488*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195621782 and 21865.\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.87 (b) -4 (c) 1 (d) 2 (e) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from {o: 11, q: 4, v: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1242 (b) -3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 3*g - 4*k, 9408*g - 9406*g - 35 = -3*k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4944 - -4943)\/(2\/(-32))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbuu when four letters picked without replacement from {b: 6, u: 4, r: 1, v: 1, e: 6}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6345 and 2200.\nAnswer: 2791800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 466*a**2. Let n(o) = 7*o. Determine n(f(u)).\nAnswer: 3262*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (159\/(-106))\/((-4)\/((-64)\/3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16055 is divided by 6829?\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 10*n**2 + 5*n + 31. Determine j(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-2))\/(420\/30)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1081993 + 2?\nAnswer: -1081991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/3 - 3*n**2 - n. Let r be q(7). Let s = r + -5. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -53. Calculate the greatest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-17 - (-3 + 2) - 38).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/118 and -65\/56.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 - 4*l + 11 - 7 - 6. Suppose 3*k - 2*o = -3*o - 1, k - 5*o + 27 = 0. What is b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 14*t**2 - 9*t - 1. Is 5 a factor of h(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 8\/11, 2816, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087292 to 7 dps.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*3)\/sqrt(12) + -1*sqrt(2) + -5 + (sqrt(720) + sqrt(720)*-1)\/(1*sqrt(1440) + sqrt(10)).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 13*h. Let i be z(1). What is the greatest common factor of i and 429?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 17*a**2 - 102*a + 161. Give u(8).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27545, 27519, 27475, 27413, 27333, 27235, 27119?\nAnswer: 26985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -24*p**2 - p**3 - 2*p + 10 - 1\/6*p**4. What is the first derivative of t(u) wrt u?\nAnswer: -4*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8 + 334104\/40110 + (-4)\/14 and -99\/4.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 18*r - 2\/3*r**7 + 0*r**6 + 0*r**4 + 0*r**2 - 13\/6*r**3 + 0 + 0*r**5. Find the second derivative of d(g) wrt g.\nAnswer: -560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2690*s + 2678*s + 36 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b + b)*(-705*b + 7 - 9 - 232*b).\nAnswer: -937*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (279\/5 + 1)\/(52\/(-130)). Let z be (-67)\/(-5)*(-1065)\/r. Is 100 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*s**5 + 1732*s**4 + 242*s**3 - 90*s**2 = 0. Calculate s.\nAnswer: -5, -9\/28, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.159 - -8.859. Let d = -9 + w. Let h = -62 - -61.8. Which is the nearest to h? (a) 1 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbq when three letters picked without replacement from {g: 4, q: 1, b: 4, c: 2, k: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 16*h + 18. Let a be j(15). Let t(w) = 2*w**3 + 5*w**2 - 9*w + 1. Let z(y) = y**3 + 3*y**2 - 5*y + 1. Calculate a*t(b) - 5*z(b).\nAnswer: b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0)*2\/(-10). Let w = 5427 - 168234\/31. Are z and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -17.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 3:48 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, g: 5}. Give prob of picking 2 g and 2 q.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 2*y - 5. Let p be i(4). Suppose 5*b - p = 4*b. Calculate the greatest common divisor of b and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3497886730 to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 8. Let f = h + -11. Let c(v) = -v**2 - 3*v + 3. Let t be c(f). Solve 3*j + 6 = 5*q - 8, -4*j - t*q - 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -45. Which is smaller: p or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, -2, -257, -0.039?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16238272723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5809.8554 + -0.8554. Which is smaller: k or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87873257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 1\/2*f**4 - f**6 - 47*f + 0*f**3 + 51 + 0*f**5 + 1\/2*f**2. Find the second derivative of x(o) wrt o.\nAnswer: -120*o**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99985782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 30. Suppose -2*c = -q*c + 20. Let j = -0.02 - 0.08. Put j, 0.5, c in increasing order.\nAnswer: j, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(144928\/(-9705))*(3\/(-170))\/((-9)\/24).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-105)\/(-4) - (-4)\/((-80)\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(-3*w + w + 0*w) + 4*w + 3*w + w)*(-w**2 - 3*w**2 + 11*w**2).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -773, -862, -951, -1040?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 52. Suppose -4*w - 4*k + 8 = -0*k, 2*w - 13 = k. Find the third derivative of 229*l**y + l**2 - 229*l**3 + w*l**6 wrt l.\nAnswer: 600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354 by -177270.\nAnswer: 59\/29545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157894 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**4 + b**3 - b**2 + 1. Let s(w) = 49*w**4 + 5*w**3 - 2*w**2 - 4. Let n(y) = s(y) - 2*v(y). Differentiate n(u) wrt u.\nAnswer: 188*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 - 23*k - 49. Determine y(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + 4 + (-8 - -149) + -114\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/5 - 28*q**4\/5 + 93*q**3\/5 + 86*q**2\/5 - 344*q\/5 + 192\/5 = 0. What is q?\nAnswer: -2, 1, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62663*z**4 + 94*z**3 - 64144096 wrt z.\nAnswer: -250652*z**3 + 282*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 124, 129, 134?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2879578 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -169878, -679541, -1528974, -2718177?\n\"Answer: -169885*a**2 - 8*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28767307861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 62*m**2 - 51*m - 511. Let x be r(61). Calculate the highest common factor of x and 360.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 + 18262*l\/9.\nAnswer: -2*l*(l - 9131)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:36 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 2. Let b be m(2). Suppose 6*v - v + 70 = 0. List the prime factors of (-24)\/(-42)*v\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnww when four letters picked without replacement from wnnnwwwwnwnwwwnnnhnw.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*b*l**2 + 13*a**2*b*s - a**2*l**2 - 11*a*l**2*s - 2*b*l**2 - 4*b*s - 2*l**2 wrt a?\nAnswer: -8*b*l**2 + 26*b*s - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 1097.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 26\/3. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:40 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 20 = 0, -2*p + 0*p + 12 = -257*z + 256*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 8*p + 2*p)*((4 + 0 - 2)*(6 - 3 - 4) - 6 - 4 - 7 + (1 - 4 + 2)*(4 - 4 - 1)).\nAnswer: -144*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 2. Let z(d) = 14*d + 7. Let g(r) = 4*l(r) + z(r). Let x(y) = 3*y. What is 4*g(a) - 3*x(a)?\nAnswer: -a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.2 - 99.2. Let p = -77.3 - h. Which is the second biggest value? (a) 0.1 (b) -2\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-2 - (-8 - -13)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3 - 4*y**2 + 8*y + 16 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u + 3. Let k be f(1). Solve 3*l + 2 + k = -3*b, 4*b = l - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 162 - 4*u - 2*u + 172 + 9*u.\nAnswer: 3*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1211 = -9*x - 4694. Let g = x - -3097\/8. Which is the second biggest value? (a) g (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -74*v**5 - 315*v**2 - 768. Find the second derivative of s(l) wrt l.\nAnswer: -4440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**37)**(-2\/7) assuming j is positive.\nAnswer: j**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 45 = 3*f + 5, -20 = 4*f. Suppose 4*k = -2*p + 38, -k + 4*k = -2*p + w. Calculate the remainder when p is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**0)\/q**2 assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose z = t - 7. Let a(y) be the third derivative of -y**5\/60 + 5*y**4\/24 + 7*y**3\/6 + 23*y**2 + y. What is a(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251 + 182*r + 251 + 881*r.\nAnswer: 1063*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**6\/120 - v**5\/60 - v**4\/24 - 3*v**2. Let d(t) = -2*t**2 - t + 1. Let n be 10 + -7 + (-1)\/1. Determine n*y(k) - 2*d(k).\nAnswer: 2*k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiy when three letters picked without replacement from {a: 2, y: 2, i: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.04, 0.3, -0.3, 11, -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 1511*x + 32168. What is b(-21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 278*d**2 + 8*d - 6. Let j(t) = 3*t**2. Calculate q(j(g)).\nAnswer: 2502*g**4 + 24*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 40, 77, 130, 199, 284, 385?\n\"Answer: 8*g**2 - 3*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {z: 1, p: 1, b: 2, m: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3 - 4*f**2 + 3*f - 7*f**3 - 2*f + 2*f**2 + 84*f**3. List the prime factors of l(2).\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5662026000 rounded to the nearest one million?\nAnswer: -5662000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12230111 - 3?\nAnswer: 12230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/45 - (-53)\/9. Suppose 2*u + g = c, -4*g - 20 = -9*g. Let z(a) = a**3 - a**2 + 2*a - 1. Let f be z(u). Solve 9 = 4*n + f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3454113429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 455.6 + -455.9. Let v = -0.6 - 0.4. Let z = -1.02 - -1. What is the fourth biggest value in 2\/9, v, r, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and 301892109.\nAnswer: 301892108.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -7441?\nAnswer: -2\/7441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2109 - 26*c - 90*c - 2111.\nAnswer: -116*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000375 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300757*d*y**5 - 518*d*y - 6*d + 4*y**5 + 13*y wrt y.\nAnswer: -6015140*d*y**3 + 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260484\/(-7088)*(-4)\/3?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10) + (-30 + 27 + -4 - (-1 - 87)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(sqrt(2) - 3*sqrt(2)))**2.\nAnswer: -80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 i when three letters picked without replacement from iirrsrsiilrrzs.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3575\/(-26)*(-624)\/10. Suppose 0*r = -3*r - a. Round r to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 26*m - 41*m + 26*m - 4*m + 6*m - 3*m + (-5 + 2*m + 5)*(2 + 3 - 3).\nAnswer: -38*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 157507141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/7 in -2, 0.03, 2\/71, 4\/7, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 1 (b) -3\/26 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 8. Let p(d) = -3. Let x(h) = -3*k(h) - 7*p(h). Let i be x(-2). What is the highest common factor of i and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26.8 and 162.\nAnswer: 135.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*x - 18, q + 456 = x + 459 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l - 24*l - 6*l + 497*l**2 + 355*l**2 - 228*l**2.\nAnswer: 624*l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150631452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 24 + v + 13 - 1.\nAnswer: v + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/31 (b) -42 (c) -0.1 (d) 0 (e) -5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -2. Let f(k) = 10*k - 4. Let u(p) = -p + 1. Let b(o) = m*f(o) + 3*u(o). Differentiate b(z) with respect to z.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/9 - 19306*z\/3 + 38604 = 0.\nAnswer: 6, 28953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1507*r + 4 - 1505*r + 6018*r - 1490*r - 1518*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a + 11*a + 2*a**2 - 4*a + 4*a - 5*a**2 in the form g + q*a**2 + n*a and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/507 and -19\/20?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545889 is divided by 171747?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14817085.92us?\nAnswer: 0.00002449915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 14*c + 56. Let p be j(6). Let g(b) be the second derivative of 1\/6*b**4 + 0*b**2 - p*b + 0 - 2\/3*b**3. Find t such that g(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*a - 12, -2*c + 6 = 2*a + a. Suppose -3*h = -h. Let z be (2 + -1)*h - 2. What is the closest to a in 1, z, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:37 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38\/8 - 10\/(-40). Let m be (h\/15)\/(1\/6). Solve -4*q + 8 = -m*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124 or -76?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 = -15. Suppose 0 = -2*x - 3*v + 16, -x = -4*x + 5*v - 14. Let d be x*1 - (14 - 15). Sort d, -2, y in ascending order.\nAnswer: -2, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1051 - 1070 - 2*b + 2118 - b. Let y(f) = -27*f. Give n(y(v)).\nAnswer: 81*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyqeyeeye. Give prob of sequence qq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -47*l + 31. Let p(r) = 23*r - 15. Let d(a) = 13*p(a) + 6*u(a). Let x(f) = -2*f + 0*f - 6*f + 4. Let i be 2\/2*(-3 + -10). What is i*x(q) - 6*d(q)?\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4 - 7) + -18?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 250067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 2.1.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46637, 46636, 46635?\n\"Answer: -n + 46638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-30) - ((-40)\/15 - 0)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 38577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-15)*((-350)\/6050)\/7?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78945 bigger than 79002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176*j = 1436*j + 60076 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3084979916?\nAnswer: 2, 19, 107, 349, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-646615)\/(-45) + 0 - 4\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 29 = 2*x, -144*f = -146*f - x + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-8))\/((-6)\/8). Let h = -163 + 20. Let o = -146 - h. Which is the nearest to -0.1? (a) 3 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25320)\/(-21) - (-7)\/(70\/(-40)). Which is smaller: 1202 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/3)\/(-16 - -15)*1164\/(-10670).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 4 (c) 2\/3 (d) 0.2 (e) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - n = 3, -7 = -2*d + 63*n - 68*n. Sort d, -231, -3\/8, 5 in decreasing order.\nAnswer: 5, d, -3\/8, -231","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92978 - 3.\nAnswer: -92981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, 5, -2, -7 in descending order.\nAnswer: 5, 0, -2, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 4. Calculate u(21).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 412*f + 408*f - 820*f + 2*f**2. Suppose 5*c = -2*g + 28, 4*c + 2*g = 4*g + 8. Let h(v) = -3*v + 2*v + c*v. Give h(q(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3808.151933 rounded to 1 dp?\nAnswer: -3808.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((75\/6)\/25)\/(2\/(-20)). What is the closest to 0.4 in d, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 7020.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 + 7*x - 11. Let y(z) = 5*z**2 + 6*z - 10. Let v(o) = 6*b(o) - 7*y(o). Let h be v(0). Let u = 60 + -43. Solve -h*m + u = -3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 3*o**2 + 2*o**2 - 2 - 2*o**4 + 4*o**2 - 3*o to the form l*o**3 + t*o + b*o**4 + g + p*o**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 - -2.04. Let t = -0.8 - j. Let u be 1*8\/(-3) + 2. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*b = -0*w + 15, -2*b = 10. Let d(j) = j**2 + 3 + w*j**2 + 8*j + 0*j**2. Let a be d(-8). What is the highest common divisor of 24 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0*w**2 + 0*w**2)*(w**2 + 3*w**2 - 2*w**2) + 1818 - 2115*w**5 + 6*w**3 - 1818 - 6*w**3.\nAnswer: -2111*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 707511533*p**2 - 945152477*p wrt p?\nAnswer: 1415023066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 36364.\nAnswer: 1090920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 76. Suppose 0*c + 5*c - 4*i = w, 5*c = 2*i + 19. Suppose -b - c*b - 2*z + 24 = 0, 0 = -5*b + 3*z + 41. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*y = 15, 0 = 3*d + 56*y - 57*y + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 5)*30\/8. Suppose 0 = 2*h - 3*r - 6, 4*h - r - 4*r - 10 = 0. Solve h*n = -3*n - d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 + 0?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sswe when four letters picked without replacement from eseeeeesyeeeysewese.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 - (-45)\/42. Let t(g) = g**2 - 15*g + 2. Let h be t(11). Let i = -40 - h. Is b at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-8109)*7718\/(-454)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 4*a - 43 = k, 2*k = -5*a + 7. What is the highest common factor of 363 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -853, 5 in decreasing order.\nAnswer: 5, 1, -853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**3 - 1403700*n**2 - 98521491840*n - 394063508480 = 0.\nAnswer: -140368, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4191221?\nAnswer: 23, 149, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/54*160263\/2. Suppose -3*f + 7*f - 101656 = 0. Let p = f + c. Round p to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12417*i**2. Let x(b) = -4*b - 49. Determine x(m(u)).\nAnswer: -49668*u**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33386027?\nAnswer: 47, 710341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let n(k) = -k**2 - 3*k + 2. Let p be n(g). Let x = p - -23. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -849 = 3*z - 12. Calculate the common denominator of -31\/8 and z\/48 - 6\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4128587 take away -4836?\nAnswer: 4835.5871413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - 111?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 10) to base 6\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t + 3*l + 9, -3*t = -3*l - 12. Is 1220\/6 - 1\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/18 + 1268\/36. Suppose 25 = r - t. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/8 - 2179*b**3\/4 - 41385*b**2 - 3087981*b\/4 + 6511401\/8 = 0?\nAnswer: -4281, -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2*f + 10*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 - 0?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (711\/102 + -7)*4\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 + 140.4. What is the closest to 1 in -1\/2, -0.02, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2\/3. Let a be 2\/4 + 2\/(-5). Let u = -0.5 + -4.5. What is the nearest to 0.2 in u, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-108)*(-1)\/(11\/(-3))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -279, -272, -263, -252, -239, -224?\n\"Answer: c**2 + 4*c - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*-1*(-3 + ((-3 + -1 + sqrt(425) - sqrt(425)) + (-2*(sqrt(425) + sqrt(425) + 1) - sqrt(425)))**2*-6).\nAnswer: 3600*sqrt(17) + 127935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:13 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 67*f - 92 = 26 + 86 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Divide -5936 by 5424.\nAnswer: -371\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*r - 434*r + 386*r + 577*r + 392*r.\nAnswer: 1092*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*l - 5*m, -6 = -2*l + 4*m - 6*m. Suppose l*i = 5*i + 2*i. Solve -h + 4*p + 20 = i, h = 3*p + 15 + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1101*l**2 + 2928 wrt l.\nAnswer: 2202*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 2*w**2 + 4*w - 1. Let p be j(-3). Let t = -0.62 + 1.12. Let h = t + -1.5. Which is the nearest to p? (a) 1 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -2*s - 241. Let a(x) = 8*x**2 - 1. What is a(s)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255424 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 895*w - 355*w - 2885*w as n*w + k and give n.\nAnswer: -2345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/4*-2 + 61?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 345730857 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37 + -1768?\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 6, 4, -35 in ascending order.\nAnswer: -35, 4, 6, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 0*y + 1\/60*y**5 + 1\/12*y**4 + 1\/3*y**3 - 2*y**2. Calculate w(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 3:37 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -508, -417, -312, -187, -36?\n\"Answer: j**3 + j**2 + 81*j - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 7. Let r be p(-9). Suppose 16499997 = 3*v + a, -a - a = -r*v + 11000006. Round v to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a meter in centimeters?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from zmvmvvvmvvmvffv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-51 - 9*p + 51 + (3 + 2 - 3)*(0*p + 2*p - p))*(1 + 4 - 6) + 4*p - 4*p + 2*p)*(1 + 1 + 0).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4682, 9360, 14038?\n\"Answer: 4678*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -228413 + y**2 - 3*y**2 + 228414. Let g(b) = 20*b + 25. Let o(q) = 5*q + 6. Let f(w) = 6*g(w) - 25*o(w). Give p(f(x)).\nAnswer: -50*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(162) + -2*sqrt(162))**2 - -5*1*sqrt(162).\nAnswer: 45*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 303911, 607819, 911727, 1215635?\n\"Answer: 303908*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 43. Is o at most as big as 1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 - 102 = 53*z. Let t(c) = c + 2. Let n be t(0). Solve 0 = -v + 2*v - n*d - 9, -z*v - d - 10 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 853, 852, 851, 850?\n\"Answer: -p + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -3) + -8 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v + 11. Let q(o) = o - 1. Let j(n) = -6*q(n) - w(n). Calculate the least common multiple of j(4) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 + 9*y**3 - 18*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 9*p**3 + 15*p**3 - 10*p**3 in the form n*p + a*p**2 + i*p**3 + w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1088 = 2*f + 952. Calculate the remainder when 744 - (18 - 10)\/(-4) is divided by f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(5\/26) + 0. Let g = p + 45. Suppose 0 = 4*y + 4*x - 4, 4*y - g = x. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1831742018 - 0.01?\nAnswer: -1831742018.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 77*i - 110*i + 36*i - 36. What is w(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -197*u - 20. Let c be f(3). Let v be 1 + 2 + c\/(-13). Calculate the highest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {s: 1, r: 1, p: 1, w: 2, d: 1, f: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 9 (c) -2\/169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 3*q**2 - 28*q + 1. Let v be t(-7). Calculate the highest common divisor of 3 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -30, 1.1 in increasing order.\nAnswer: -30, 0.11, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 115*(56\/30)\/(26\/(-39)). Let x = -303 - g. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 28*g + 135. Calculate m(15).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwsdwdldd. What is prob of sequence shd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126736*c**3\/5 + 772322064*c**2\/5 + 8677836*c + 121880 = 0. What is c?\nAnswer: -5\/178, 6094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8 = b - 2*k, 2*k = -4. Let d(f) = -f + f - 3*f + 2*f. Let o be d(-7). Solve o*t = b*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 569a53 + 4?\nAnswer: 569a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 - -173. Solve 5*h + 0*h + 2*f = 9, n = 5*h + 4*f - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -4*v**6\/9 + 16*v**5\/15 + 23*v**4\/6 - 38*v**3\/9 - 55*v**2\/3 - 50*v\/3 + 9. Factor u(g).\nAnswer: -2*(g + 1)**3*(2*g - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011668636423 to six dps.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 460?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*1)\/sqrt(10))\/sqrt(2).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, i: 3, k: 2}. Give prob of sequence izz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 140834, 140839, 140846, 140855?\n\"Answer: l**2 + 2*l + 140831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 0.0768 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/3107885 and 71\/242415030.\nAnswer: 242415030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, l: 3, m: 1, n: 2, x: 2, e: 6}. Give prob of picking 2 x.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -2329.\nAnswer: -74528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -274102*y**2 + 6*y - 9168900 wrt y?\nAnswer: -548204*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -93, 2, 6720 in decreasing order.\nAnswer: 6720, 6, 2, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 - 7*j**4 - 8556*j**3 - 739*j**2 + 9 wrt j.\nAnswer: 120*j**2 - 168*j - 51336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.956 + -0.044. Let v = 67 - 63. What is the smallest value in -4\/11, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r + 5*g = -47*r + 11, 2*r - 3*g + 11 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 114 + (-5 - -3) + -4. Suppose 5*b + d = 3*d + a, -d = 3*b - 62. Suppose -4*u + 15 + b = 0. Calculate the remainder when 43 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21448.\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513065572 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2471.2 * -1.3\nAnswer: -3212.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from crwyypppwwtt?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:53 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*a + 75 - 747, 5*a = r + 1656. What is the remainder when a is divided by 175?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34921 - 34909. Let x = 2 - 2. Solve x = f*d - 8*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhd when four letters picked without replacement from {h: 4, d: 7, p: 2}?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 62, 56, 32, -16, -94, -208, -364, -568?\n\"Answer: -d**3 - 3*d**2 + 10*d + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o**(-6)\/o)**(-1\/69))**(-16) assuming o is positive.\nAnswer: o**(-112\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 11 = -14. Let m(r) be the second derivative of -1\/60*r**4 + 0*r**2 + 0 - r + 0*r**z. Suppose m(t) = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + 7*n**2 + 2*n + 3. Let p(z) = z**3 - 3*z**2 - z - 1. Let j(k) = 5*p(k) + 2*t(k). Let u be j(-1). Solve r = 4 - 0, -14 = u*q - 2*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let v = -16 + 16.07. Sort y, 1\/3, v.\nAnswer: y, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-9)\/6*-2. Suppose 16 = i*n - 0*n - 2*s, 2*n + 3*s = -9. What is the second derivative of -2*k**3 + k - 3*k**3 + 4*k + 2*k**n wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**4 - 1457400*m**3 - 132769867348*m**2 - 3451277684400*m - 22431704108944 = 0?\nAnswer: -182162, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 56045499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.2. Let c = 0.91 - 0.11. Let i = c + t. What is the nearest to -3 in -2, i, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2849773\nAnswer: -11399092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -992682 + 992682 + 281*t.\nAnswer: 281*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/279?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 8*x**2 + 8*x + 2. Let k be d(-7). Let o(u) = -2*u**2 - 9*u - 10. Let z be o(-1). Sort 3, z, k, 2 in descending order.\nAnswer: 3, 2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 594*x**2 - 3*x - 5. Let r(m) = -892*m**2 + 4*m + 7. Let d(n) = 7*q(n) + 5*r(n). Let f(a) = 2*a**2. Determine d(f(j)).\nAnswer: -1208*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9959032 and 56?\nAnswer: 69713224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w + 0*w + w**2 - 6 + w. Let v(h) = -h**3 - 7*h**2 - 6*h - 6. Let l be v(-6). What is m(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -332 - -723\/2. Let w = -2577 - -17987\/7. Find the common denominator of w and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476979209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*i - 8 = 0, 0 = -4*f - 5*i + 7*i + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express s - s**2 - 7 - 8*s + 3*s**2 + 8 as x + v*s**2 + t*s and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Let b = 205669 + -205664. Suppose -5*u = 3*n - 55 - 17, -u - 24 = -n. Solve -4*d = -4*j - n, d - g*d - 6 = b*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + sqrt(20) + -2*sqrt(20) + -3))**2.\nAnswer: 28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(360) + sqrt(40))\/sqrt(8))*4.\nAnswer: 20 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 50*y**2 - 227*y - 4. What is g(4)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*u**3 - 4*u**3 + 2*u**3 + 2 - 14*u**3 in the form t*u**2 + q*u**3 + i*u + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96300 and 1829700.\nAnswer: 1829700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - z + 8, -13*z = 2*r - 10*z - 19. Let u = 23 + -16. Which is the biggest value? (a) 0 (b) u (c) -4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4422*f + 1230*f + 150358 = -79118 - 60996 for f.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29279? (a) -2 (b) -4 (c) 325\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**5\/10 - p**2\/2 + p. Let c(q) = -q + 3. Let g be c(2). Let y be f(g). Is -1\/3 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 + 166*k + 1148. What is h(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/48)\/((-2)\/(-4))*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1238 - 1240. Let d = -0.2 - 0.3. Which is the smallest value? (a) y (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 9:46 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.9 and -2949.4?\nAnswer: 2956.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-225175)\/(-255) - -2. Let d = -886 - w. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28362960 divided by -1296?\nAnswer: -21885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-15\/7))\/(w**14\/w*w*w) assuming w is positive.\nAnswer: w**(-83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-553*a + 132*a + 122*a)*(3*a - 4*a + 5*a)*(-4 + 4 - 2) as g*a**2 + u*a + n and give g.\nAnswer: 2392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89033*u - 24*u**2 + 88815*u - 11*u**2 - 177848*u.\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 33*i + 17. Let d be g(-22). Suppose 3*l - 637 = -5*x, 5*x + l = -114 + d. Suppose 9*o - 4*o - x = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12) - (-10)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 2*m + m)*(-3*m**2 - 2*m**2 + 2*m**2) + 4309*m**2 - 4309*m**2 + m**3 to the form t + c*m**2 + l*m**3 + v*m and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -75*f + 19*f + 28*f + 23*f. Let c(v) = 76*v**2. Determine o(c(z)).\nAnswer: -380*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/52 and -8\/55367.\nAnswer: 221468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 = 5. Suppose 3*n = -r + 3*r - 4, 0 = a*r - n - 10. Suppose -8*q = -4*q - 8. Does r = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10429 + -10429.3. What is the third biggest value in -2, n, 0.35, 3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5\/6, 5751\/239 in descending order.\nAnswer: 5751\/239, 4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-16)*(-888)\/370?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211642 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 is the closest to -2 in 471, -9261, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3689\nAnswer: 5\/3689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -75 - -2?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044168920.\nAnswer: 2, 5, 47, 199, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 219419 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 841*c**2*t + 2312*c**2 - 3*c*t - t - 1657292 wrt c?\nAnswer: 1682*t + 4624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 1) + (122 - 124) + 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4490 (base 10) in base 6?\nAnswer: -32442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2945 and 79135?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -5, 5, 3 in ascending order.\nAnswer: -8, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5725*h**5\/7 - 44755*h**4\/7 + 31237*h**3\/7 + 11147*h**2\/7 - 3410*h\/7 + 8 = 0. What is h?\nAnswer: -2\/5, 4\/229, 1\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiyiiyiyiiiyiyiii. What is prob of picking 3 y and 1 i?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbubbbbbbbbbbubbu. Give prob of picking 2 b and 1 u.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/5, 19, -0.3, 30.5, -5, -2, 0.29?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-21 - 24)) + -12 + 1 + 3 - -9.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.8, -884, -0.2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/6*18\/7. Solve 3*c - f = j, c - 4 = -5*j - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43504 by -5438.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.81 + -17.81. Is 207\/4 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*a - 7, -2*r = -6*r - 4*a. Let c be 54 + 3 + -6 + 4 + -1. Suppose 26*n - c = -n. Put r, -2, n in decreasing order.\nAnswer: n, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111101001 (base 2) to base 10.\nAnswer: -489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162.5 - -165.5. Let s = 5\/13 - 87\/260. Which is the third smallest value? (a) x (b) -5 (c) -0.3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -24.98. Let q = -0.12 - r. Let z = 0.466 - 1.466. What is the closest to q in 2, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 30 - 10. Let d(r) = -r**2 + r + 2. Give d(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1760, -919, -46, 847, 1748, 2645, 3526?\nAnswer: 4379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 29?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3046*i + i**2 + 806*i + 1422*i - 218*i in the form d*i**2 + w + k*i and give k.\nAnswer: 5056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 104, 119, 140, 167, 200?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 979359065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4773 is divided by 239?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 25.9. Round p to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2949401.\nAnswer: 3\/2949401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = 11*z - 1237. Let p(t) = -84 + 41 + z*t + 43 - 19*t. Let q(n) = -3*n. Determine q(p(j)).\nAnswer: -180*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607107, -606817, -606527, -606237?\nAnswer: -605947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 69?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -169, -154, -123, -70?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 23*v - 84. Determine h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - 111) + 62 + (28 - 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 - q + q)*(3 + 0 - 1) + 0*q + 2*q**2 + 0*q - 5*q**2 + 4*q**2 - 3*q**2 + (-3*q + 3*q + 2*q)*(q - 3*q + 3*q) to w*q + l + m*q**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646310821.\nAnswer: 13, 19, 2616643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 9 = 0. Suppose 0 = 7*y - k*y + 54. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830399393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21735 + -21717. Calculate the remainder when 2063 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560\/27 at least as big as -615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 29*y**2 + 38*y - 652. Calculate z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*h - 37*h**2 - 10*h**2 + h**2 - 3*h + 2*h + 277 wrt h?\nAnswer: -92*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s**2 - 40*s**2 + 182*s**2)*(-s - 3*s + 3*s).\nAnswer: -156*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305 + -285. Solve -3*l + 2 = -y, 5*y + 6*l = 11*l - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/441?\nAnswer: -11\/441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -308\/5?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Suppose 2*n + 3*n + 2*i = 6, 0 = g*n + 4*i. Let l = n + -1. Calculate the remainder when 3 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*g + 425*g + 156 = -4859 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 7:07 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6305 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p**2)\/p)\/p)\/p)\/p*p)**48*p\/(p*(p*p*p**(-4)\/p*p)\/p)*p*p**(-6\/7) assuming p is positive.\nAnswer: p**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 1765*i + 4726. Give v(-4).\nAnswer: -2334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/13)\/s*s*s*s**31)**40 assuming s is positive.\nAnswer: s**(16480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from abwfrabfabwbfewwbbw.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r - 1. Let n(f) = -12*f + 2 - 12*f - 11*f + 34*f. Give -2*n(o) - 5*s(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 7*b**3\/3 - 9*b**2\/2 + 1279*b + 2114. Differentiate c(p) wrt p.\nAnswer: 14*p - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*-4*(sqrt(2112) - (sqrt(2112)*2 + sqrt(2112))))\/(2*sqrt(21)\/((sqrt(7) - sqrt(252))*6)).\nAnswer: -960*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264454951?\nAnswer: 211, 463, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 25085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:25 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 3*o - 45, o = 1294*q - 564*q - 727*q - 17 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011010010 - -11101111110111100?\nAnswer: 11111100010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -29 + (-2 - -2) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.8 - 25. Which is the closest to 3? (a) t (b) 0.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + -1.5. What is the biggest value in b, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4*o = 620 - 240, 0 = o + 1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0211 times -0.0281003\nAnswer: 0.00059291633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -37*h**2 - 56*h + 5. What is l(-3)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60696 - -4370183\/72. Calculate the common denominator of y and 71\/342.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 87. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -354 + 400. Suppose -n*h = -53*h + 119. Calculate the greatest common divisor of 51 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) 2 (d) 31 (e) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3948)\/273)\/(-47))\/((-120)\/52)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + 279\/(-27))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667 = -k - 395. Let z = -551 - k. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + d - 3)*(2 + 2 - 1) + (3*d - 3*d + 2*d)*(-5 + 6 + 1) - 2*d + 3*d - 2*d to n*d + c and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -265, -291, -337, -409?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 36. Is (-42)\/((h\/9)\/7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 4. Let v be m(-4). Let o(f) be the first derivative of -f**3\/3 + 2*f + 6. Determine o(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-30)\/(-7) - -4. What is the biggest value in 1\/6, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240 and 45.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 83024?\nAnswer: 332096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1822*q - 6148 + 125827 = -3884*q + 7*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h - 50 = 0. Calculate the greatest common factor of 140 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 3*n + 4. Let b be j(-3). Solve 1 = b*d + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 5, u: 2}. Give prob of sequence mm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 110456, 110491, 110526, 110561?\n\"Answer: 35*h + 110421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -106ac?\nAnswer: -106b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.5, -9\/13, -5\/6, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**7)\/j)\/(j*j**(-26)*j))\/(((j\/(j\/(j**(-20)\/j)))\/j)\/j*j**(6\/7)*j) assuming j is positive.\nAnswer: j**(267\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 1. Let l(a) = -1. Let g(f) = -1. Let h(x) = 4*g(x) - 5*l(x). What is -2*h(s) + z(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14225 - 14815 = -15*y. Suppose 31*x + 2993 = -y. Is -157 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 6.11?\nAnswer: 6.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**13*u**(-10\/7))\/(u*u*(u\/(u**(1\/7)*u)*u)\/u*u\/(u*u**(-13))) assuming u is positive.\nAnswer: u**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2. Let c(w) be the first derivative of 19*w**6\/360 - 26*w**3\/3 + w**2\/2 + 56. Let r(h) be the third derivative of c(h). What is s(r(n))?\nAnswer: -1444*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*l - 1 - l + 1 + (2 - 2 - l)*(3 + 2 - 3) + (-6 + 8 + 1)*(7*l + 36 - 36).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a - 15*a + 65*a = 105616. List the prime factors of a.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-5) + 4\/10. Let t be (-1605)\/(-60)*(2 - 6). Let k = 109 + t. Solve -f - 4*c - 4 = -0, k*c = -z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26312 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaavalavalaa. What is prob of sequence vlvv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36 + 36 - 4*w**3)*(-372*w - 1370*w - 1472*w + 92*w + 445*w) to q*w**2 + p*w + r*w**3 + l + k*w**4 and give k.\nAnswer: 10708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 + 6*v - 4*v - 452.\nAnswer: 2*v - 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19607 is divided by 701?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/58 + 41\/812. Let l = 504 + -504. Let n be (0 + -1)\/2*l. Is z bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2, -443, 198, -4 in ascending order.\nAnswer: -443, -4, -3, 0, 2, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4 + 15. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from {e: 1, g: 3, w: 1, t: 2, u: 4, a: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:16 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9900\/19 - -521. Which is bigger: k or -15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -16, -21, -26, -31, -36?\n\"Answer: -5*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 5, j: 1, n: 1, m: 7}. Give prob of picking 1 m and 1 i.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-5 + -3 + sqrt(612) + sqrt(612) + (sqrt(612) + -4 + sqrt(612) - sqrt(612)) + 2 + -3)**2.\nAnswer: 192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5607 = -7*w - 0. Suppose 137*n = 128*n - w. Which is smaller: -90 or n?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 993*r + 991*r - 4680 = 0, -4*v - 4*r = -4680. Calculate the smallest common multiple of 936 and v.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - 3.8. Let n be (-10)\/(-6) - (0 + 1). Which is the closest to -1\/2? (a) -0.5 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -21. Let g(z) = -2*z**2 - 2*z - 3. Let f(a) = 7*a**2 + 8*a + 13. Let b(c) = 2*f(c) + 9*g(c). What is b(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 5*y + 6. Let h(a) be the first derivative of 4*a**3\/3 + 5*a**2\/2 + 5*a - 191. What is -3*g(m) + 4*h(m)?\nAnswer: m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w - 4. Let v(z) = -z**2 + 5*z + 3. Let c(y) = -5*k(y) - 7*v(y). Let l(u) = -7*u**2. Give c(l(i)).\nAnswer: 98*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, -0.04.\nAnswer: -0.04, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 5 - 1 + (0 + 1 + 0)*(-2 - 3 + 7) + (0 + 3 - 1)*(-1 - 1 - 3))*(z**3 - z + z) to s*z + g + f*z**3 + a*z**2 and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 + 7*f - 10. Let t(z) = z - 4. Let g be t(6). Suppose g = 2*c - 42. Calculate the lowest common multiple of i(4) and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6302160 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 1\/4*j - 1\/4*j**2 + 1\/12*j**3 + 2. Factor c(b).\nAnswer: (b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 25*o**2 - 23*o - 104. Determine g(26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffnusfufms. Give prob of sequence smnu.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcqdqodddddcocdd. What is prob of sequence cqcq?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 162, 490, 818, 1146?\n\"Answer: 328*b - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32118 + 52514. What are the prime factors of d?\nAnswer: 2, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*x + 41, -x - 3 = -4. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/14)\/(3\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:48 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -410.42 - -412. Round w to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 1\/3*j**3 - 1\/12*j**4 + 0 - 2*j - 1\/2*j**2. Factor s(v).\nAnswer: -(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let b be (9\/6 + 2)*-2. Let s = -11 - b. Let y be p(s). Solve 5*g - 3*n = 5, -4 = g - y*g - 5*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.639606621 * 0.1\nAnswer: -0.1639606621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -100c - 2?\nAnswer: -100e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.9 - 9.899925. Round o to 6 decimal places.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2109 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/8 and 40\/13591.\nAnswer: 108728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-3))\/5*(1 + -1). Solve -g + 3*g + 4*x = -18, 5*g + 4*x + 15 = s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 + 4*k + 1. Let l be h(-5). Let w = -21 - l. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91866?\nAnswer: 2, 3, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21a (base 11) to base 10\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -431 - -433. Suppose -z + b*m + 103 = 0, 0*z + 5*m + 530 = 5*z. Calculate the remainder when z is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and 0.003.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjrqjqjbjb. What is prob of sequence brj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6738*r**3 - 2*r**2 + 2*r - 1. Is v(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264, 0, 1 in descending order.\nAnswer: 264, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4075507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1006.81 - -1007. What is the third smallest value in 5, 1\/5, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -797 (base 13) to base 2.\nAnswer: -10100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 9.98?\nAnswer: 9.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-18)\/(-14) + -1). Let q be (-1)\/2 - (-34)\/4. Suppose -q - u = -5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2576369722?\nAnswer: 2, 1288184861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/24*3\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 19*p**2 + 17*p + 21. Let o be y(18). Let m be (o\/2)\/(9\/18). Which is the closest to 2\/27? (a) -0.4 (b) m (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 226 - -32. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*x - 120*x - 100*x = 364 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12855 - 8136. What are the prime factors of y?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 3*g + 2*g + 25*g to the form o + s*g and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0011 + -0.0535. Let n = -2.7644 - -2.337. Let y = x + n. Round y to 2 decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757096 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 67.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955690 is divided by 4209.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2220220111?\nAnswer: 2220220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 + 93*i**3 + 10035*i**2 - 10125*i = 0. What is i?\nAnswer: -45, 0, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.8 - -5.3. Which is the fourth biggest value? (a) -4 (b) 0.3 (c) g (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 - 6.94. Let z = 6 + o. Let w = z - -1.4. What is the closest to 0 in w, 2\/7, 1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1635 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 8*i - 7. Suppose 8 = -q - 1. Let w be p(q). Suppose 6*o = 5*o - w. Which is smaller: -4\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-6))\/a)**41\/((a\/a**(3\/8)*a*a)\/(a\/a**(-24))) assuming a is positive.\nAnswer: a**(-1789\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -7*o**4\/12 - 26*o. Let n(s) = -8*s. Determine g(n(u)).\nAnswer: -448*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*z - 37, 5*p = 339*z - 356*z - 26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(36\/(-10) - -4). Suppose -a*z - 20 = -30. Suppose -3*k + 162 + 203 = 2*j, -10 = z*j. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 5907347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 5, 2.\nAnswer: -4, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2 + 432*b - 15136 = 0. What is b?\nAnswer: 44, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0. Suppose -2*n - 2*n + 4*g = 188, 174 = -4*n - 3*g. Let s be (-32)\/36 + (-10)\/n. Which is the nearest to w? (a) 3 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3260287, 3260286, 3260285?\n\"Answer: -p + 3260288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51787*n + 51801*n + 933 = 2431 for n.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-15)*5\/(-3)*5. What is the nearest to 0 in -4, x, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuvvtej. Give prob of picking 1 t, 1 u, 1 v, and 1 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79634610*y - 112939965 with respect to y.\nAnswer: 79634610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 90226 (base 10) to base 9\nAnswer: 146681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1862600 rounded to the nearest 10000?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -2.44?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/43, 1, 0.1, 0.006?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/13 + 8462*i\/13 + 8464\/13.\nAnswer: -2*(i - 4232)*(i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15480 and 1656?\nAnswer: 356040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 422805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**4\/4 + 2*z**2 + 3*z - 11. Calculate y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2535*d + 10710 = 2558*d + 575*d + 152410 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 421902*p**2 - 472071 wrt p?\nAnswer: 843804*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 119\/(-21))\/(-407). Let w = l - -17\/111. Calculate the common denominator of w and 38\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 1:22 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-339)\/60 - (-2184)\/416.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 18. Let v = 16 - s. Let p(n) = -n - 2. Let z be p(-6). Solve 15 = z*h - v*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 = 36*a - 19*a. Let b = -11 - -13. What is the remainder when a is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018159504474 rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*b**3*w**2 - 180*b**3*w + 14*b**2*w + 2 wrt w.\nAnswer: -288*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 3*c - 4, 2*a + 3*c - 4*c = 2. Let d(i) = -a + 12*i + 0*i + 1. Calculate d(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/(-666))\/(7\/(-2)).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2649*a*o**2*q**2 - 2*a*o**2 + 3*a*q**2*x + 3*a*q - 3*a*x + 6*o*q + 2*o*x - 12*q wrt q.\nAnswer: 5298*a*o**2 + 6*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -26, -98, -244, -488, -854, -1366?\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-8))\/((-5)\/(-60)). Let h = 13 + o. Suppose a + 2*t - 2 = 2, h*t = 0. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26004335 is divided by 5200864?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 + -113 + 8 + -28 + 7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1101 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**11\/r*r))\/r*r*r**(-13\/4)*r)\/(r**(-10)*r**(-2\/59)) assuming r is positive.\nAnswer: r**(-523\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 7, -34, -101, -200?\n\"Answer: -c**3 - 4*c**2 - 2*c + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4718 less than 2948?\nAnswer: 2947.5282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -400 * -0.0844\nAnswer: 33.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 56*o**2 - 109*o - 19. Calculate d(-54).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 24 = o. Let k(x) = -x - 5. Let t be k(o). Solve 0 = -3*f - 4*g - 10 - 13, f + t*g = -16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -816508 or -816509?\nAnswer: -816509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3223 + -2?\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 - -153. Which is the second biggest value? (a) z (b) 3\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3 - 2)*6\/(-8). Suppose 2*p + d = -11. Let z(h) = 7*h - 19. Let y(v) = -3*v + 6. Let c(g) = 8*y(g) + 3*z(g). Determine c(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)\/q**(-6\/5) assuming q is positive.\nAnswer: q**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*t**2 + 290*d**2 + 12187*t**3 + 38 wrt t.\nAnswer: -2*d**2*t + 36561*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -24. Suppose -z = g*m + 2, -1 = 3*z - 4*m + 5. Sort z, 0, -5 in ascending order.\nAnswer: -5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 26*c = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 5*n**2 - 6*n + 6. Let y be m(-6). Suppose 83 = y*q + 551. Let v = -14 - q. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from wwxxxwtgxgxy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4261202, -4261197, -4261188, -4261175?\nAnswer: -4261158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1429 - 1366. Calculate the remainder when 179 is divided by g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 14. Let r = 18 + c. Let d(f) = -2*f + 3. Does 14 divide d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591, -2356, -5297, -9414, -14707, -21176, -28821?\nAnswer: -37642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 2*f**3\/15 + 52*f**2\/5 + 40*f + 4400. Let c(t) = 0. What is t?\nAnswer: -50, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 1. Let a(l) = -5*l + 8. Let s be 0\/(-1) - (8 - 7). Let o(g) = s*a(g) - 4*x(g). Give o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*b + 3*x, -8 + 32 = 3*b - 5*x. What is the second derivative of b*g**4 + 36*g**3 - 4*g - 36*g**3 wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 6*h - 3. Calculate f(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -24*v**2 + 551*v + 53. Let t be d(23). Let h = -77 + 122. Calculate the greatest common divisor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1659*f - 1624*f - 1546*f to m*f + i and give m.\nAnswer: -4829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -206, -207, -208, -209, -210?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -4467\nAnswer: -3\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 111*t**2 + 5*t + 5. Let f(n) = 166*n**2 + 7*n + 7. Calculate -5*f(s) + 7*l(s).\nAnswer: -53*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 741255904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 26*z**2 + 91*z + 39. What is the hundreds digit of u(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/1)\/(1 - 2). Suppose s = 6*n - 2*n. Suppose 3*f = n + 6. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in micrometers?\nAnswer: 62000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10012925891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2 - 224284416*q + 224284420 = 0.\nAnswer: -56071105, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2267812491 to the nearest integer?\nAnswer: 47622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -161? (a) -1\/6 (b) 2\/8453 (c) -0.5 (d) 1\/7 (e) 3 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 - 2*d - 1. What is k(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 19*r**3\/6 + 169*r**2 + 3*r + 4. Let j be t(-18). Let q(w) = 3*w - 1. What is q(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/4 + 30448*s**3 + 60897*s**2 = 0 for s.\nAnswer: -2, 0, 121794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from biiig.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 7, -2, 5, 1, 3 in descending order.\nAnswer: 7, 5, 3, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21.2 + 19. Let n = 1.2 - q. Let j = n - 0.4. Which is the third biggest value? (a) 5 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3799\nAnswer: 1\/3799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 16) to base 9\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 1)*(1 + 0). Let r(u) = 2*u + 4. Let p(l) = 2*l + 5. Determine o*p(k) + 3*r(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2, 0 = -3*h + x + 3*x + 947. What is the common denominator of (-5)\/15 + h\/(-150) and -47\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 14, w: 2}. Give prob of sequence wxl.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**3*t*t)\/t**6)\/(t**(-1\/22)\/((t**(-5\/4)*t)\/t)))**(-16\/11) assuming t is positive.\nAnswer: t**(1268\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 9*c**2 - 9*c + 12. Let i be q(8). Let h(g) = g - 4. Let f be h(i). Suppose -5*d - 20 = -k, 5*k + f*k = 5*d + 100. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -26009, -4, 17 in increasing order.\nAnswer: -26009, -8, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 455 - 454.8732. Let w = -0.107 + d. What is w rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 - -168. Let s = 108 - t. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.5693 + 49.68. Let f = q + -0.0107. What is the third smallest value in f, 0.4, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/4 (b) -1\/5 (c) -5 (d) 21\/17 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 6, t: 3, e: 1, v: 1, c: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 410, 577, 688, 725, 670, 505, 212?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*0*29*(-4)\/(-116) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06114722199 to five dps.\nAnswer: -0.06115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103*3\/(-30) - 3 and -32\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2792, 268 in descending order.\nAnswer: 2792, 268, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3054.214022 to 0 dps.\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**3\/3 - 4*j**2 - 6*j + 3. Suppose -8*g + 52 = -4*g. Let z = g - 18. Determine x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bffkekbyff. Give prob of sequence ky.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 - 67*c + 174. Determine v(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -c1b (base 14) to base 10\nAnswer: -2377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502195195 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.183069 meters in millimeters?\nAnswer: 9183.069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 r when four letters picked without replacement from {q: 8, u: 4, r: 5}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -3\/4, -512, 4, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 402*v**3 + 13*v**4 - 403*v**3 + 3*v**4 + v as q*v + l*v**3 + s*v**4 + b + t*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 114050 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + -1 + (-197 - -4659)?\nAnswer: 5, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b - 19*b - 66*b - 7*b**2 + 103*b + 21*b**2.\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-3))\/(-4))\/((2079\/99)\/441).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -28*o. Let k(s) be the third derivative of 3*s**5\/10 - 986*s**2. Calculate t(k(r)).\nAnswer: -504*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3679 * 29\nAnswer: 106691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16967 - -16967.5. Let x be ((-6)\/21)\/(9\/(-7)). What is the fourth smallest value in -0.5, 5, h, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/9, 3, -313, 1\/7, -3\/8, -9, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119593 is divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*l + 708, -d - 8*l + 216 = -13*l. Suppose 5*u = k - 57, -46 + 166 = 3*k + 2*u. Calculate the highest common factor of d and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -51\/5. Let r(n) = -n**2 - 7*n - 6. Let q be r(-5). Let u = 2 - 1. What is the nearest to u in o, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/3)*s*s**(-1\/10)\/s)\/(s*s**10*s*s**(3\/14)) assuming s is positive.\nAnswer: s**(-1468\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 438630.\nAnswer: 438630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*l + 100*l = 2718. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**7\/280 + n**6\/24 + 7*n**5\/40 + 3*n**4\/8 - 11*n**3\/6 - 13*n**2. Let w(u) be the first derivative of b(u). Factor w(x).\nAnswer: 3*(x + 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765249 is divided by 882565.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**3 + 2*a**2)*(1 - 1 - 2*a) + 4*a**4 - 2*a**4 + 0*a**4 - 4*a**4 - 3*a**3 - 2*a**4 + a**3.\nAnswer: -8*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5 = 0, -2*k - 13 = -5*q - 0. Let j(w) = q*w**2 - 2*w**2 + w**2. Let u(x) = -2. Let a(s) = -s + 5. Let d(z) = 4*a(z) + 10*u(z). Determine d(j(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*w + 18, -8*w + 22 = -4*w + r. Let z(y) = y**3 - y**2 - 12*y + 16. What is the smallest common multiple of z(w) and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1174, -1317, -3808?\nAnswer: -6299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-3)))\/z**2*(z**(1\/2))**27 assuming z is positive.\nAnswer: z**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**2 + 3*y + 0*y**4 - 9 - 2*y - 3*y**4 + 4*y**4 as r*y**2 + z*y**4 + u + k*y + j*y**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48127 and 298?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11535*j**3 + 12442*j**2?\nAnswer: -69210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 3617.\nAnswer: -3617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 2. Let z(n) = -3*n**3 - 9*n**2 - 9. Let h(m) = 2*m**3 + 5*m**2 + 5. Determine q*z(u) - 9*h(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3598056 and -111\/1144?\nAnswer: 46774728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 12*q**2 + 26*q - 11. Let o be d(2). Let j = -5 - -2. Sort o, j, 15 in increasing order.\nAnswer: j, o, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 11*p - 18. Let v(g) = -28*g + 13. Let h be v(p). Suppose 2*b - 5*n = h, 5*b - 463 = -n + 3*n. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -784, -769, -768, -787, -832, -909?\n\"Answer: -g**3 - g**2 + 25*g - 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8566 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p + 90. Let s(o) = -o**2 - 9*o + 11. Let y be s(-9). Let k be v(y). Solve -k*b - b = 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.935 + -1.935. Let i = -0.4 - -0.2. Let s = i - -0.1. Which is the closest to s? (a) 1\/6 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8189696162*r**2\/15 + 511928*r\/15 - 8\/15.\nAnswer: -2*(63991*r - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(1\/48*-4). Let c = -45 - h. Solve c*d = d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5277*i + 6528 = 5311*i. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 1. Determine t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11.5, -0.5 in decreasing order.\nAnswer: 2, -0.5, -11.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p*p**(1\/13))**(1\/11)\/(p*p\/(p*p**(3\/8)\/p*p)*p\/((p*p**10)\/p))**(-26) assuming p is positive.\nAnswer: p**(-124497\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 414244461?\nAnswer: -414244460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087544 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at most -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/497880 and -35\/6?\nAnswer: 497880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5344, 10227, 15110, 19993, 24876, 29759?\nAnswer: 34642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnndndnnnnndd. What is prob of picking 2 d and 1 n?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*k + 14458*f**2 - 174*f + 11696951*k + 2 wrt k.\nAnswer: 2*f**2 + 11696951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 = 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 o when four letters picked without replacement from ooopooppooooopopopo.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from errhhaaeeiaaae?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -142*w - 4*w - 41*w + 561. Calculate the smallest common multiple of 2394 and w.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 99 = 2*x, -2*x - 2*b + 2 + 30 = -32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**2 - 237318*k + 237318*k.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -13*k**9\/3 + 581*k**5\/60 + k**4\/12 - 3*k**2 + 147. What is the third derivative of h(p) wrt p?\nAnswer: -262080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -240*d**2 - 1680*d + 1665. Let c(w) = 17*w**2 + 120*w - 119. Let t(o) = -85*c(o) - 6*u(o). Solve t(v) = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let d(j) = -j - 1. Let t(x) = -4*x**2 + 2*x + 2. Let m(n) = -2*d(n) - t(n). Calculate m(i(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/45 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/r)\/(r*(r\/r**(2\/31))\/r*r)*r**(11\/2)\/(r\/(((r\/r**(14\/3))\/r)\/r)) assuming r is positive.\nAnswer: r**(-428\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}