diff --git "a/data/dm_maths/full_data/10217_11255.jsonl" "b/data/dm_maths/full_data/10217_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10217_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 4*l = -5 + 9. Let y be (-2)\/(-12)*3 - 15\/6. Sort l, y, -4, -5.\nAnswer: -5, -4, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t**2 + 7*t**2 + t**2 - 3*t**2 + 0*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.71387877 rounded to 3 dps?\nAnswer: 126.714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10648*0.011\nAnswer: 117.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/4 - n - 3. What is the derivative of s(r) wrt r?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 1. Find the second derivative of 33*x - 5*x**o + 2*x**5 - 3*x**5 - 27*x wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1738\/(-316)*576\/264\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 + 136. Is 1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0*f - 1 + 0*f)*((69 - 33*f - 69)*(2 + 2 - 2) + f + 0*f + 2*f + (4*f - 6*f + 0*f)*(3 - 1 - 1)).\nAnswer: -130*f**2 + 65*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(2) + 6*sqrt(10)\/sqrt(5)))\/((sqrt(16)*-2 + sqrt(4))*-5)*4*4.\nAnswer: 16*sqrt(11)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 28 + 2. Suppose 3*l + 2*u = 23, 0 = -y*l + 2*u + u + 3. Which is the nearest to -2\/3? (a) -3 (b) 0 (c) 4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a century?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -41943\/823 smaller than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -969.279 - -20.579. Round g to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 5*m**2 + 4*m + 4. Let n be t(6). What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 + (-15)\/(-3). Suppose -h*b - 960 = b. Let r be ((-4)\/(-6))\/((-8)\/b). Solve -3*c = -7*c + r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 15*r - 22. Let q be n(-13). Let o = 4 - 4. Suppose -5*l - 418 = -408. Which is the nearest to 4? (a) l (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202012 (base 3) in base 14?\nAnswer: -2ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + -0.5. Let d = -8.1 + 0.1. Let n = d + 13. Put g, 2, n in descending order.\nAnswer: n, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3300\/(-528)*16\/(-20). Let r(p) = 2*p**3 + 9*p**2 - 2*p + 5. Let m(o) = -o**3 - 4*o**2 + o - 2. Determine t*m(z) + 2*r(z).\nAnswer: -z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b + 20 - 20)*(1 - 4 + 1)*(1 - 1 + 3).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 19 = 3*d. Let b = 210 + -205. Suppose 0 = 3*x - 3*n - n - 26, -n + 28 = b*x. Solve 2*z + x*a + 10 = 2*a, -30 = -z + d*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(2448) + sqrt(2448)) + 5 + (sqrt(2448) + (-2*sqrt(2448) - sqrt(2448)) - sqrt(2448) - sqrt(2448) - (5 + sqrt(34)\/sqrt(2))))**2.\nAnswer: 159953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 10161 = 13*h. List the prime factors of h.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 65*n - 62*n - 15 = 0, 4*y = 5*n - 25. Solve 2*o + 8 = y, 5*c = -4*o - 38 + 32 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/369 and 50\/9.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + h + 6. Let b be a(3). Find the third derivative of 9*p**4 + b*p**4 - 2*p**4 + p**2 wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418723187.\nAnswer: 3, 7, 67558247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 25 = 2*d - 3, 4*d - 2*c - 32 = 0. Let h = d + -2. Suppose h*x = x + 18. What is the highest common divisor of x and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 82\/(-8) - 7\/(-28). Let i(r) = -r**2 - 7*r - 8. Let h be i(s). Let b be 5\/10 - h\/(-60). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3*m**3 - 598. Let h(t) = 8*t - 9*t - 2*t. Calculate h(p(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 67. Solve -3*k = 3*f + i, 0*f + 3*k = 5*f - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52707, -52725, -52743, -52761, -52779, -52797?\n\"Answer: -18*t - 52689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008038 rounded to 4 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112109336 to the nearest integer?\nAnswer: 10588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*p + 2*p + 173, -2*y - 2*p = -62. Suppose m = 28 + y. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 5*m + 6. Let w be y(-5). Let g(r) = -r**3 - 9*r**2 + 8. Let b be g(-9). Let k = b - w. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 635558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((-206)\/(-3090)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130239865 a multiple of 2095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 18 = -4*t - 7*k, 0 = -2*t - 5*k - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4 = -5*y, -23 = -4*g + 4*y - 3*y. Let u(d) = 2*d + 16. Is 5 a factor of u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from ggbbbbbbbbbb.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2650 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (75\/6)\/(1\/2). Suppose -2*p + 5 = 1. Suppose 0 = -y + 5, -3*a + 8*a - b = -p*y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 18*f**2. Let q(s) = -7*s**2 + 6*s + 6. Let b(u) = -15*u**2 + 13*u + 13. Let c(d) = 6*b(d) - 13*q(d). What is c(v(t))?\nAnswer: 324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**2 - 2*x + 2. Suppose h - 7 - 3 = i, 4*h - 3*i = 40. Let q(z) = 25*z**2 - 5 - 4*z + 17*z - 8*z - h*z**2. Calculate 5*c(d) + 2*q(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*z - 3*i, 3*z = -i + 3*i + 5. Solve l + 16 = z*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 32*o**2\/5 + 250769*o\/5 - 23511 = 0.\nAnswer: -7837, 15\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332110 - 3?\nAnswer: 332101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*m = 178*m - 120. What is the remainder when 1234 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1956 is divided by 578?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -2. Let v(w) = -11*w - 20. Let r be v(-12). Let u be 84\/r*(-2)\/(-3)*5. Which is the closest to 0.1? (a) d (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 63 = -7*h + y, -4*h = -5*y - 62. Let g = 21 - -2. Calculate the remainder when g is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljlz when four letters picked without replacement from {l: 4, z: 2, j: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 461, 683, 899, 1109?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 367*a + 34425 - 34423 + 3165*a.\nAnswer: 3532*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 7, o: 1}. What is prob of picking 1 b, 1 o, and 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2\/(-14) - (46161\/(-21) + (-135)\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1754 + 0.2754. What is the nearest to -1\/3 in b, 2\/59, -1\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j*s - 10157*j + 143*s**2*z**3 + 51088*s**2 - 2*z**3 + z + 11 wrt s?\nAnswer: 4*j + 286*s*z**3 + 102176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*g + 59 = -19, 5*g + 18 = 2*o. Does 7 divide (-7)\/o + (-58)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -123 + 3*h**2 - 30*h - 43*h + 193*h.\nAnswer: 3*(h - 1)*(h + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/9)\/((-2)\/(-90)). Let y = -31 + -61. Let t = r - y. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 - 8)*-1*11. Let h be (-134)\/g + (-24)\/132. Let o be 5 - 6 - h\/(-20). Which is the second biggest value? (a) -0.2 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose -a - g + 5 = 0. Find n such that -3*n**4 - 8*n**2 - 3*n - a*n**2 - 9*n**3 + 2*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 36*u**2 - 62*u - 4. Calculate f(3).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k + 4 = 3*v, 5*v - k = -2. Solve -4*t + 5*p - 41 = v, t = 6*t - 2*p + 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k**2 + 4*k**2 + k**2)*(-2*k + 2*k + 12*k - 4*k + 3*k + 3*k + (-1 - 1 + 0)*(-3*k - 5 + 5)).\nAnswer: 60*k**3 - 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.27, 2\/9, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3012230032 (base 4) to base 2.\nAnswer: -11000110101100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - -14. Let b = -34 + j. What is the second biggest value in 2, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*b + 10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8087033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -823*n**2 - 27 + 98 + 90 + 2738*n**2.\nAnswer: 1915*n**2 + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 13*a - 7 to the form n + o*a and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 21*o + 9. Let b(m) = 7*m + 3. Let q(f) = -11*b(f) + 4*h(f). Let r be q(7). Let z be -1*1*r\/(-4). What is the greatest common factor of 39 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 - c. Suppose 3*b = 4*g - b + 24, 0 = 3*b - 15. Let v be w(g). Solve 8 = 5*x - v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797411621.\nAnswer: 797411621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112703\/24588 - 2\/6147. Let t be 1 + (-1)\/(-132)*497. Let f = t - b. Is f greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8986, -18117, -27248, -36379, -45510, -54641?\nAnswer: -63772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -27*d - 10. Suppose 0 = -5*q - 3*c + 32, -356*q = -351*q - 5*c. Determine y(q).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -785\/3 + 257. Let c = 4176 - 45970\/11. Find the common denominator of o and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1679 + -1674. Which is the nearest to -1? (a) 0.05 (b) 17\/3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563 or 564?\nAnswer: 563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*y + 1, -5*m - 2*y - 4 = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - -1*sqrt(156))\/sqrt(12) + sqrt(13) - (sqrt(208))**2*3)*-1 - -2*((sqrt(156) - (sqrt(156) + 4*sqrt(156)))\/sqrt(12) + -3))*-6.\nAnswer: -3708 + 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -4.99999935. Round g to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 35*c + 60. Let f be 2*(-26)\/c + 9\/(-45). Find the second derivative of 1087*k**f - 48*k + 4*k - 1062*k**5 wrt k.\nAnswer: 500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3890109 is divided by 1478.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 287985 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 21*u - 45. Give r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 30. What is the nearest to -1\/3 in j, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/5 + 1962*i**3 + 19626*i**2\/5 + 9814*i\/5.\nAnswer: -2*i*(i - 4907)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from bgyyyyygmygygiy.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 52. Determine f(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-28)\/(-12)) - (-44)\/16. Suppose 2*u - 7*u = 10*u. What is the nearest to u in -3, 0.17, x, -0.5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 0 - 6 + 1. Let l(y) be the first derivative of -y + 3. What is -k(n) + 5*l(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f**2 + 2*f - 2. Let o(z) = 62*z**2 + 4*z - 3. Let g(c) = -5*b(c) + 3*o(c). Let v be g(-2). Let l = v + -2. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 6*w**3 + 40 + 6 + 2*w + 5.\nAnswer: -6*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*x - 51, -21 = -4*u - x + 30. Suppose 7*a + 25 = u*a. Solve a = 5*t - 3*k + 25, -2*t - 17 = -3*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.045*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**4 + 235*y**3\/6 + 249*y**2. List the prime factors of c(19).\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 192. Let m = 72 - u. Let z(c) = -c**3 - 19*c**2 - 4*c + 36. Let p be z(m). Calculate the highest common factor of p and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 155, 342, 601, 932, 1335?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14407633 and 922?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*f + 4*f. Suppose 7*l + 36 = 4*h + 2*l, 5*h - 40 = f*l. Let y be (-8)\/(-12) + 14\/6. Solve h = -t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -29*k**2 - 4*k + 25. Let q(i) = -5*i**2 + i. Let d(w) = j(w) - 6*q(w). Calculate d(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 38*w + 2. Let d be k(11). Let v = d - 277. Suppose 0 = -3*o + 2*f + v, -2*o + 90 = 6*f - 2*f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 2184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*j - j + 64 = 0, 0 = -4*j. Suppose 0 = 3*w - u + 7. Suppose 2*g + w*l = 40, -2*l = l. What is the greatest common factor of g and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 6*k = -i - 3*i + 2*i + 146, -16*k = 42*k + 1334 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 3. Let x be -3 + (-1 - -12) + (-3 - -2) + -4. Let q(r) = 2*r + 5. What is x*q(c) + 5*u(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 130266 (base 8) to base 12\nAnswer: 2221a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1014179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1520 + 1520 + -54 + 1?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 17*j**2 - 74*j + 39. Determine g(21).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -1 - 1\/2*v**2 + 3*v. Suppose q + 4*i - 13 = -0*i, 2*q + i = 12. Give u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + ((-3)\/9 - (-9)\/27). Solve 0 = p + x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 10188.2 weeks?\nAnswer: 6161823360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -1053?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5843, -5840, -5835, -5828?\nAnswer: -5819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.604 + 0.104. Which is the biggest value? (a) -4 (b) t (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1962, -3943, -5926, -7911?\nAnswer: -9898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71034931.\nAnswer: 11, 37, 174533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3590 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17b496 - 2?\nAnswer: -17b498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1765, 1, 26 in decreasing order.\nAnswer: 26, 1, -1765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1637 - 1628. Solve 4*w - 12 = q*w - 2*l, 4 = -2*w + l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (32\/12)\/((-16)\/(-456)). Suppose -b*a + 69*a = -1470. Calculate the highest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*-1*(sqrt(363)*-1 - sqrt(363)) - (-1 + (4 + (3*sqrt(363) - sqrt(363)) + sqrt(363) + sqrt(363) - sqrt(363) - sqrt(363))))**2.\nAnswer: 924*sqrt(3) + 71152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 493074183 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -265377, -534561, -803745, -1072929?\n\"Answer: -269184*u + 3807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 210744462 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 1433*m - 21683. What is f(301)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = 5*f + 6*f. Let d = f - -34. Suppose 3*w = -2*i + 150, -d*w + 100 = -3*w - i. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-5\/3)*v\/v**(3\/4))\/(v\/v**(1\/10))**(-19))**(-2\/27) assuming v is positive.\nAnswer: v**(-1001\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2574849?\nAnswer: 257484.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360937504.\nAnswer: 2, 233, 48409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = y. Let w = 14 - 11. Solve s = 3*m + w*s + 6, y*s + 8 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((2052\/486)\/38)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5993 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 2*h + 8. Let l be o(4). Suppose -3*c + 6*c - 2118 = l. Suppose -5*q - 870 = -5*y, 0 = -y + 5*y - 2*q - c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498682307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + (-108 - -115)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -23*m + 1. Let y = 451 + -415. What is the least common multiple of f(-1) and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2. Let x(c) = 2*c. Let a(p) = 6*p - 15. Let j(i) = i - 2. Let g(q) = -2*a(q) + 15*j(q). Let d(o) = -4*g(o) + 9*x(o). Give n(d(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 5*b - 2. Let z be (-10 - -10)*(-2)\/4. Suppose 4*d = 2*u - z*u + 16, -4*d + u = -14. Calculate h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2 = -n, 0 = -4*n - 679*q + 681*q + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-9 - -11) - -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/f**7))\/f**11)\/(f**21\/f**(2\/3)))**19 assuming f is positive.\nAnswer: f**(-1330\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 64160?\nAnswer: 64160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*p = 49, -5*k + 16 = p - 57. Solve 4*c + 2 = l - k, -3*c - 5*l = 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -6. Let f = h + 2. Suppose 5*v + 29 = w, 3*v = -3*w + 4*v + 17. Which is the nearest to f? (a) -0.4 (b) 1\/7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a day in minutes?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 + -443?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**6 - 19*s**4 + 426*s**3 + 3*s**2 + 2246*s.\nAnswer: 240*s**3 - 456*s + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 79132 (b) 0.2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3)**(2\/85))**(-1\/61) assuming k is positive.\nAnswer: k**(-8\/5185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(7 - 7 + 10*s).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386 + -251. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*p - 2 + (p - 4*p + 2*p - 1)*(7 + 12 - 1).\nAnswer: -20*p - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 2347368?\nAnswer: 4929472.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**5 + 25*y**4 - 45*y**3 + 35*y**2 - 10*y.\nAnswer: -5*y*(y - 2)*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 1, o: 6, e: 5, q: 3}. What is prob of sequence qgeo?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2139542229, -2139542230, -2139542231, -2139542232?\nAnswer: -2139542233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41 (b) -2 (c) -6 (d) -208 (e) 0.2 (f) -3\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.678 + 0.078. What is w rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110111 - 11?\nAnswer: -1100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 273 (b) -0.1 (c) 1\/3 (d) 0.0046 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 18\/4 + 2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 10*w - 13. Let o(k) = 90*k + 4 - 11 + 0 + 3. Is o(w) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13801535.\nAnswer: 5, 11, 17, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*h**3 + 9 - 9 + (-3 + 3 + 1)*(-3*h**3 + 0*h**3 + 2*h**3) in the form s*h**2 + m*h + x*h**3 + j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2385)\/(-318)*4*(-2)\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 11:18 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -128. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, s: 3, w: 2, t: 2, j: 1, u: 3}. What is prob of picking 1 s and 2 w?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8076*a**4 - 4270*a wrt a?\nAnswer: 96912*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12100.7256 + -12089. Let k = 11.7 - q. What is k rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.89545 - -3.52. Round m to three decimal places.\nAnswer: -0.375","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-54) - 272\/9. Let d be (24\/m)\/((-22)\/5). Which is smaller: -3\/2 or d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256060 and 20708?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12320647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 = -5*n. Let i(b) be the first derivative of -b**4\/4 - 2*b**3 + 9*b**2\/2 + 17*b - 2. Let j be i(n). Sort j, 5, 1 in descending order.\nAnswer: 5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17325 and 672.\nAnswer: 11642400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -14 - (1 - (1 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/5 + (-72)\/(-10). Suppose 5*i + 15 = 5*y, i = y + 2*y - a. Let b be 3 + y + -2 - -2. Solve b*l - 28 = -w, -3*w + 14 = 2*l - l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.191333+-168727051\nAnswer: -168727050.808667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 4*l + f + 4*f, -3*l = 4*f + 360. Let i = l - -435. Suppose 0 = -0*t + 3*t - i. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 81. Is r less than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in 2\/19, -2\/1899, 5, -0.5, -4, 5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1645235, 1645239, 1645245, 1645253, 1645263, 1645275?\nAnswer: 1645289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-4 - (4 + -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -19 - -1) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w**2 + 3*w - 3. Let l(y) = y**3 - 2*y**2 - 5*y + 3. Let j be l(3). Does 12 divide v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(4 + 48\/(-8) - (94 - 115))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9937354 and 5678488.\nAnswer: 39749416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from znnnnnnnnnnnnnnnnn.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52216890 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 - 10*a**4 - 45*a**3 + 70*a**2 + 100*a - 120 = 0. What is a?\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - v - 3148 = -931, 0 = -3*c + 3*v + 1335. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 29 + 2*q**3 + 7 + (q - q + 2*q**3)*(-5 - 1 + 4) as i + o*q**2 + z*q + r*q**3 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, e: 8, v: 2, d: 3}. Give prob of picking 2 e.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -29252906\nAnswer: 3\/29252906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 8:48 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -12 - 2) + 6*2. Let k be 95\/a + -6 - 30\/(-18). Solve 3*i - 20 = k*i + 5*t, -20 = -5*i + 5*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -608830.7 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3\/3 + n**2 - 2*n + 31. Let p be x(2). Suppose -p*t + 4185 = -1341. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -9. Let k = 12 + -9. Which is the second smallest value? (a) -4 (b) 0.1 (c) k (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/35)\/(18\/63) + (-736)\/372.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o + 8. Let z(g) = g + 1 - 1 + o - 3. Calculate z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 0.0538 (c) -2\/3 (d) 0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*x**3 + 0)*(-4*x + 9*x - 19*x) + (-2*x - 1 + 1)*(-7*x**3 + x**3 + 0*x**3) + 4*x**4 + 3*x**3 - 3*x**3.\nAnswer: -40*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, q: 3, n: 11}. Give prob of picking 1 y and 1 n.\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -47 - -100) + -36?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1159 - -1161. Solve 2 = -3*k - 5*r, 4*r - 3*r = -3*k + x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - v**2 - v - 6. Let b be w(0). Let r be (2\/3)\/((-1)\/b). Factor -1 + 0*z**3 + 4*z**3 - r*z**4 + 7*z + 3*z**4 - 6*z**2 - 3*z.\nAnswer: -(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 254\/((1*-4)\/2). Let x = 204 + i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 200\/9. Put 4, -5, -2\/9, f in increasing order.\nAnswer: -5, -2\/9, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(1\/2))*j*j*j*j**(-1))**(-12\/11) assuming j is positive.\nAnswer: j**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144158 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 1\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2900 is divided by 85.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*-3*sqrt(180) + 4*(sqrt(180) + 3))**2 + -5)*4.\nAnswer: -4608*sqrt(5) + 13744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 378295 to the power of 1\/2, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/51 + -292\/561. Let b be 2\/8 - (-196)\/(-16). Let f(s) = s**3 + 14*s**2 + 24*s - 1. Let c be f(b). Is p bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2 + 2 - d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 1246.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8750069 is divided by 1522?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + v**4 - 12*v**2 + 201*v**3 + 42*v - 140*v + 96*v in the form y*v**4 + c*v + p*v**2 + s*v**3 + l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -315.46*1\nAnswer: -315.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 + 1 = 0. Let s(o) = -o + 9. What is s(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:03 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - (-6 + 15 - 5)) + 10 - 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = b - 4*f - 57, -4*f = -4*b + 412. Calculate the remainder when 855 is divided by b.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1196601362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97, -132, -105, -16, 135, 348, 623?\n\"Answer: 31*y**2 - 128*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let w = 6 + -4. Suppose -4*q + 3*m - o = -13, -8 = -3*q + w*m. Solve 4*k + q*i = 5*k + 13, 0 = k - i + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.256703 rounded to 2 dps?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.737 + 13.7. Let r = j + -0.063. Which is the fourth smallest value? (a) 0 (b) 5 (c) -2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/5))\/(u\/u**2)*u**(-4)*u**(-1\/2))**(-35\/6) assuming u is positive.\nAnswer: u**(161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 j when two letters picked without replacement from {l: 8, j: 1, r: 2, t: 6, u: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 24. Suppose 8 + 8 = -m*d. Let r be 320\/(-4*d\/(-445000)). Round r to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -15.254?\nAnswer: 18.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d4e0e + 3f?\nAnswer: d4e4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5986, 11985, 17994, 24013?\nAnswer: 30042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -53, -174, 2 in descending order.\nAnswer: 2, -1, -4, -53, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 1 - (33 - 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186891 is divided by 1907.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 101*t - 1209. Let k be c(12). Solve 4*x + k*n = -0*x + 4, 0 = -5*x + n - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + ((-112)\/32 - (-360115)\/10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -z - 16 + 29, z - 23 = 5*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v - 16. Let c = -8 - v. Suppose c = -2*g + 53 - 1. What is the highest common factor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33700 - -49245. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**3 + 13162092*o**2 + 22227011?\nAnswer: -3*o**2 + 26324184*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/5 + 192*h**2\/5 - 38*h = 0. What is h?\nAnswer: 0, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 962*k**2 + 960*k**2 - 1920*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 20*a - 352. Let q be i(17). Let m be (q\/(-14))\/((-40)\/280). Let w = -1\/12 - 29\/4. Is m at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3, 4, -265, 1.4, 2\/3?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 2)\/6*0. Let y be (-10)\/(-8) + -1 + p. Factor 1\/4*r**3 + 0*r**2 - y*r + 0.\nAnswer: r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:26 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*b + 21, -32 = -2*h + 2*b - 38 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -118. Suppose 4 = a*x, x = -0*i + i - 10. Determine k so that i*k**2 + 15*k + 11*k**2 - 27*k**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 2\/5 (c) -5 (d) -3 (e) 1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 324.9332 millilitres?\nAnswer: 0.3249332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010467388 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/29)\/t*t\/(t*t\/(t*t\/(t*(t*t\/t**(25\/3)*t)\/t))))\/((t\/(t**(-2\/7)*t))\/t)**13 assuming t is positive.\nAnswer: t**(8861\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 4 + 1)*(4*i - 5*i + 3*i) + (-12*i - 5*i + 2*i)*(-1 + 4 - 1).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26625828 divided by -4.\nAnswer: -6656457","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*-1) - (5 + sqrt(76))**2.\nAnswer: -101 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*o - 5*o = 10, 0 = d + 3*o - 10. Let r be (3\/d)\/((-4)\/20). Let u(n) = n**3 - 3*n**2 - n + 4. Let b be u(r). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30744, 51819, 72880, 93921, 114936, 135919?\n\"Answer: -s**3 - s**2 + 21085*s + 9661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 - 28*f - 370\/3 = 0 for f.\nAnswer: -37, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, l: 5}. What is prob of sequence lklk?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + sqrt(20)\/(sqrt(10) - (sqrt(40) + sqrt(10)) - sqrt(10)).\nAnswer: -6 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/11 (b) -0.1 (c) -1 (d) 6 (e) -162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.9917km to nanometers.\nAnswer: 60991700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1363*j = 36957 - 12423 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/9*36\/(-15). Is ((-52)\/j)\/(3\/66) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 14) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*b - 1686 - 3514, 0 = -2*t + 4*b + 2056. Solve -1037*d = -t*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/9)\/8*((-819)\/494)\/21\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*a + 31755 + 18105. Calculate the remainder when a is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 3. Let t(u) = -u + 1. Calculate 4*k(b) + 11*t(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 994 divide 37760072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9486 divided by -1054\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2231 - -2235. What is the nearest to -18 in -1\/2, 5, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - 0.25. Let d = -0.34 - x. Let b = d - 1.96. Sort -3, 0.1, b in decreasing order.\nAnswer: 0.1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*h + 2380 = -75*h + 120*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1547*w**2 + 1214397*w + 1567. Determine z(-785).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -652, -747, -844, -943?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 7695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -17. Let x = -2 + 5. Let s be 0 + -2 + x + 3. Solve -s*k + 7*k = -a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215594733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452 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 g = 467\/10 - 1\/5. Let h = 162 + 335. What is the common denominator of g and (-4)\/(-5) - h\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 147 in -5, 0.16, -3, -1106?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 + -102. Let r = -6 - -6.3. What is the fourth biggest value in r, 0.1, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 563 in ascending order.\nAnswer: -7, -4, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 10. Suppose 0*n = 2*s - 3*n - 46, n = o. Suppose c - 24 = 4*h, -c + 2*h = 5*h + 4. Calculate the remainder when s is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 13*r - 2*l - 8, 4*r - 14 = 2*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409168?\nAnswer: 2, 107, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*166.5\nAnswer: -1.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 870 and 1878591?\nAnswer: 18785910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.9 and -1019.5.\nAnswer: 9073.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12792211?\nAnswer: 17, 752483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/9039294 and 61\/56232.\nAnswer: 36157176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (-6 - -3 - -7). Solve -j = -1 + p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3)*g)**39)**40 assuming g is positive.\nAnswer: g**520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 141490, 4, -3, 18.\nAnswer: -3, 3, 4, 18, 141490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36*p*q - 182818*p + 20*q**2 wrt q.\nAnswer: -36*p + 40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3930 in -0.1, -2, 1\/7, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3 = -4*b, 3*b = 5*a - 1. Suppose 42 = 4*t + 4*u - a, 2*t - 37 = 3*u. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 25*j = -5*j - 322 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-60)\/476)\/((-3756)\/17528)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 5}. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -4036305?\nAnswer: 4036312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*(84\/(-8) - -11)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 9 + 6. Suppose -2*q + 9 + 3 = -3*l, -4*q - b*l = 12. Suppose -5*n = q, n - 320 = 2*s - 6*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7774917 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: Solve -4*a = -14*v + 151 - 949, 4*a - v + 22 - 79 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i + 8 - 20 = 68*i + 2*f, -2*i - 4*f = -6*i + 44 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/30 - 11*c**4\/12 - 7*c**3\/6 - c**2 + 75. Is k(13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272, 4586, 4 in increasing order.\nAnswer: -272, 4, 4586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3 - 1. Let b = -46 + 46. Suppose 6 = 3*o, 0*o + o = -3*a - 7. What is the nearest to -0.1 in b, a, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2971 and 14855.\nAnswer: 14855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/210*2205\/3969)\/(-2).\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - d - 4*d + 2 + 2*d + 6*d. Calculate the common denominator of n(-5) and -77\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.936665026 + 18.\nAnswer: -18.936665026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 5, -0.284?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17757 is divided by 658.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125507960 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 5.48\nAnswer: 21.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5372 (base 14) to base 13.\nAnswer: 6734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17)*-2)**2 + ((sqrt(136) - (sqrt(136)*1 + sqrt(136)) - sqrt(136)) + sqrt(136) + sqrt(136) + sqrt(136))\/sqrt(8).\nAnswer: sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 - -393.55. Let i = n + -444.8. Let z = 51 + i. Which is the closest to -0.3? (a) -2\/3 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4081613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by (-2)\/(-3) + (-400)\/(-30) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35619, -71174, -106681, -142140, -177551, -212914, -248229?\n\"Answer: 24*n**2 - 35627*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 1:22 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 58056608?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**3*k**2*m - 522398*g**3*m + 240807*g**2*k**2*m - g**2*m - 2 wrt k.\nAnswer: 6*g**3*k*m + 481614*g**2*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -106?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1 - 16\/(-8). Suppose 5*x - 924 - 4041 = d. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-9)*n*n))**(-1\/4)\/((n\/(n*(n*n**14)\/n*n))\/(n\/n**(-7\/4))))**44 assuming n is positive.\nAnswer: n**693","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*k**3 + 18*k**2 - 17*k + 383008.\nAnswer: 204*k**2 + 36*k - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 + 51*y**2 - 51*y**2 + (-7*y + 4*y + 4*y + (-y + 0*y - y)*(1 - 3 + 4) - 634*y - 1902737 + 1902737)*(y**2 - 4*y + 4*y)*(y + y - y).\nAnswer: -642*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -491005, -981937, -1472869, -1963801, -2454733, -2945665?\nAnswer: -3436597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83584613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**6\/720 - x**4 + 20*x. Let y(f) be the third derivative of m(f). What is y(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let j be r(-4). Let w(l) = -3 + 2*l**2 - 69*l - l**2 + 28*l + 34*l. List the prime factors of w(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -652636 (base 7) in base 6?\nAnswer: -2235034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -4\/7 (c) 0.3 (d) 17\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*f = 116 + 5268, -5396 = -4*w - 5*f. Round w to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990 is divided by 331?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41460, -41463, -41466, -41469?\nAnswer: -41472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.9 + 0.1. Let s = j + -10. Let o = 30 + -20. What is the closest to s in -2\/13, -4, o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqxqxxqzqzxxqqxxx. Give prob of picking 2 z and 1 x.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 143*o**2 + 3617*o - 2228. What is m(-165)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 3, -7, 65, 1.1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 854914 to the power of 1\/2, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 c when four letters picked without replacement from {a: 1, o: 4, c: 9}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.26 + 1.26. What is the closest to -3 in i, -1, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68.64 + 68.54. Sort -0.2, 1\/5, -0.3, n, 1\/16.\nAnswer: -0.3, -0.2, n, 1\/16, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**3 + 2*r**2 + 2*r + 2. Let j be g(-2). Let t = 1693 - 1641. Let n = j - t. Calculate the remainder when 17 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 2. Calculate u(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 30*r = 0. Let d = 21 + r. What is the highest common divisor of d and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21059.86l?\nAnswer: 21059860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**2 - 4243. Let b(p) = 303*p**2. Determine b(u(f)).\nAnswer: 4848*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 16*o = -12*o - 13, 4*o - 4 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/((-21)\/(-484 + -20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10731330 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/9)\/((-416)\/(-24) - 18).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.121 - -0.021. Sort a, 1, 0.01 in increasing order.\nAnswer: a, 0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 - 27. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -403, -402, -401, -400, -399, -398?\n\"Answer: b - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:27 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -477\/14 - -242\/7. What is the second biggest value in x, 0.3, 9\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -6*n + 37. Suppose x + 10 + 8 = 3*q, 4*q - 2*x = n. Calculate the remainder when 9 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -1\/3, 60557.5.\nAnswer: -1\/3, -2\/17, 60557.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19802, 39371, 58940, 78509, 98078, 117647?\n\"Answer: 19569*w + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1164\/132 - 110\/(-605). What is the greatest common factor of c and 5814?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -1.3. Let j = 16 - 15. Let i be 2*(0 - (-3)\/33). Which is the closest to j? (a) 1\/5 (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 96. Let x be g(-20). Differentiate -3*j**2 + 6*j**2 + 134 - x*j**4 - 181 wrt j.\nAnswer: -16*j**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 2 - 3 - 4 + 8*p. Let j be q(6). Suppose -l = j*l. Which is the closest to -0.2? (a) 3 (b) l (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 - -1.4\nAnswer: 1.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4383 divided by 9\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111 - 10000?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5 + 178*q**4 + 176*q**3 = 0. What is q?\nAnswer: -88, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -25*f + 201. Let t be q(8). Solve 6*d = 5*d - t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j**5\/5 + 6764*j**4\/5 - 2048*j**3 - 64396*j**2\/5 - 20296*j\/5 + 27104\/5 = 0. What is j?\nAnswer: -847, -2, -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1600121 (base 9) to base 13\nAnswer: 250282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {a: 4, n: 8, p: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2020*a**3 + 4065*a**3 - 2033*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.443 rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -61420 (base 8) in base 10?\nAnswer: -25360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*k - 9423750451 + 9423750451.\nAnswer: -150*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 541433599*x - 688472610 wrt x.\nAnswer: 541433599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at least as big as -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5929 divided by 7\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/2 - 149231*a**2\/2 + 2782952792*a + 58474918698 = 0. What is a?\nAnswer: -21, 74626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*s + o, -1 = o - 5. Suppose 0*g = -3*g + s. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58.27 - 58.270003919. Round c to 7 dps.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 + (-326)\/9. Let u be 8 + (r\/3 - -6). Solve 5*t + 4*o - 28 = -6, u*o = -4*t + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 21 = 0. Suppose -3*v + 22 = 4*r - 3, -5*v + q = -2*r. Differentiate 0*d**v + d**3 - 2*d**3 + 7 - 3 wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 36*d = -13*d - 8*d + 15, 60 = c - 5*d for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 30*b = -29*b + 52, 4*u - 5*b = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/4560 and 55\/2394.\nAnswer: 95760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*1 + 3)**2.\nAnswer: -12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*7 + -3 + 5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.5 - -1.\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*p**2 + 4 + 7*p**3 - 116*p**2 - 2*p**3 to g + b*p + a*p**2 + v*p**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 0 (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*t - 37 - 30 = -s - 5, 0 = 5*s + 3*t - 182 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(588\/(-378))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00403464768 rounded to five dps?\nAnswer: -0.00403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/44)\/8*(-682)\/(-279)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133406 (base 7) in base 11?\nAnswer: -983a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/((-142)\/(-213))*1\/(-3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7))**(10\/7)*((j*j*j\/j**(-1\/19))\/j)\/(j\/(j\/((j\/j**(-1\/13))\/j))) assuming j is positive.\nAnswer: j**(18972\/12103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 2*f + 4, 4*y - 5*f = 8. Suppose 2*b + y*w = -0*w + 12, 10 = 5*w. Calculate the remainder when 9 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-153)*((-9)\/(-1))\/(-3)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.07 times -1783?\nAnswer: 37567.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 188277500 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**2 - 5. Let q(y) = 43*y**2 - 2. Give q(h(t)).\nAnswer: 6192*t**4 - 5160*t**2 + 1073","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -19 + 16 + (3 - -5648)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -0.4 (c) -0.1 (d) -56\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n - 911757*n**2 + 934631*n**2.\nAnswer: 22874*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 1933 = 635. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 16 - 182*o + 231*o + 1673*o to the form c + s*o and give s.\nAnswer: 1722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2066*t - 109*t**3 + 2066*t - 144*t**3.\nAnswer: -253*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4\/29, 0.5, -0.08 in decreasing order.\nAnswer: 3, 0.5, 4\/29, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -11. Suppose -1459 = -445*b - 93*b + 3921. What is the least common multiple of i and b?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3505250, 14020999, 31547244, 56083985?\n\"Answer: 3505248*u**2 + 5*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -5\/4*j**4 + 4 - j**3 + 0*j + 0*j**2. What is the third derivative of g(q) wrt q?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4171 (b) 361 (c) 4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k - 12. Let n(d) = -d + 9. Let v be n(6). Let q(a) = v*a + 6*a**2 + 2*a - 5*a**2 + 3. Give q(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1851632 millilitres in litres?\nAnswer: 0.0001851632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2531 and 0.2.\nAnswer: 506.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:21 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41 and 52.483.\nAnswer: 11.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12687*137.\nAnswer: 1738119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 1647817?\nAnswer: -1647813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154941 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 11*w = 4. Suppose w*n + 2*j - 2 = -0, -4*j - 12 = 0. Solve -n*u - 8 + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:34 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/18 + (-10)\/12. Let m be 18\/24 + (-1 - 1). Let f be 3\/(3\/6 - 2). Sort m, f, j in descending order.\nAnswer: j, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078048 rounded to four decimal places?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n + 8*n - 4*n)*(-8*n**3 - 9*n**3 - 3*n**3) to v*n**3 + m + i*n + z*n**4 + w*n**2 and give z.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -307, -2312, -7783, -18454, -36059, -62332?\n\"Answer: -289*t**3 + t**2 + 15*t - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(5 - 20 + 10)*(4 + 5*q - 4).\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.9. Let i be ((6 - 6992\/1152) + 3\/(-8))\/1. What is the second smallest value in -4, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - u**2)*(u + 0 + 0 + (3 - 4 + 2)*(2*u - 3*u + 2*u)).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15124227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*j - 405*j - 350*j - 4 to p + k*j and give k.\nAnswer: -627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 61*z**8\/42 + 491*z**5\/60 + 26*z**2 - 1. Find the third derivative of y(s) wrt s.\nAnswer: 29280*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 + 15*g - 16 = 0. Calculate g.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/5 - 1077*t**2\/5 - 67872*t\/5 + 1101708 = 0. What is t?\nAnswer: -202, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.085 - -0.585. Let g = -14 - -40. Let f = -26.2 + g. Which is the nearest to f? (a) m (b) 3\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/321 (b) -142 (c) 151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -41*m - 6. List the prime factors of k(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (23 - 8) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -1\/75*u**6 - 4 - 3\/50*u**5 - 1\/15*u**4 + u + 0*u**2 + 0*u**3. Suppose l(g) = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 0 - 13\/42*y**7 + 0*y**3 + 0*y**2 - 1\/2*y**4 + 0*y**5 + 13*y + 0*y**6. What is the third derivative of a(u) wrt u?\nAnswer: -780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59683386?\nAnswer: 2, 3, 7, 109, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 71686104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8543*a**2. Let j(r) = -3*r. Give j(s(i)).\nAnswer: 25629*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - 4*w)*(-4 + 4 - 2) + (53 + 47 + 15)*(-9*w - 22 + 22).\nAnswer: -1033*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 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: List the prime factors of 902559.\nAnswer: 3, 7, 42979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iirniffninufn. Give prob of sequence nrn.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 514455334 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-4)*(-11)\/((-165)\/(-12)). Let q(h) = 8*h**a + 12*h**2 + 64*h**2 + 17*h**2. Let s(z) = 2*z**2. Determine s(q(b)).\nAnswer: 20402*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2.06671 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190542 + 78042. What is b rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 17*g + 46 - 16*g + 13*g + 0*g - 4. Calculate the remainder when 96 is divided by a(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 3*d + 2. Let v(o) = -o. Let s(r) = q(r) + 6*v(r). Suppose 2*f = -2*x + 12, 6*x = 2*x + f + 4. Let c be s(x). Solve c*n + 1 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 988.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 0.4 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (sqrt(275) + 0 - sqrt(275)) + -3)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 47?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + 2*q - 7. Let b = 147 - 32. Let w(a) = -57 - 4*a - 62 + 3*a**2 + b + 5*a. Determine 3*j(l) - 5*w(l).\nAnswer: 6*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16359997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -18, -41, -66?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 13 = 4*w. What is the third derivative of 7*z**2 - 3 + 3 - 5*z**w + 12*z**6 wrt z?\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.226 - 4.836. Let w = 5 + o. Round w to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose 0 = c*l + 2 - 12. Solve -3*v = 4*o + 5, 0 = 3*v + 4 + l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a + 105. Let d be h(10). Solve 0 = -d*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/11, 3\/4, 4\/3, -3\/8?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by 258676?\nAnswer: 97\/129338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**4\/6 - 7*l**3\/2 + 16*l**2. Let s be g(6). Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 8. Let z = i + 4.4. What is the second smallest value in z, -1\/4, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3342095262.\nAnswer: 2, 3, 11, 617, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*r - 4*r + 8*r)*(3*r + r - r + 1) to the form o + k*r**2 + t*r and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5296.44 hours?\nAnswer: 19067184000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.296 + -0.004. Suppose -4*i - 5*g = -20, 2*i + 0*i - 10 = 5*g. Which is the nearest to -5? (a) o (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, t: 4}. Give prob of sequence twww.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28\/345 - 233\/1380. Which is the fifth biggest value? (a) 104 (b) r (c) -1 (d) 0.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-10) - 1268\/(-1585)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6095, -12325, -18845, -25799, -33331, -41585, -50705, -60835?\nAnswer: -72119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.03 + -0.03. Let o = -43\/91 - -17\/91. Which is the closest to o? (a) 1\/10 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4597, 4596, 4595, 4594?\n\"Answer: -c + 4598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let w(d) = -d - d - 3 + 0*d. Let h be w(-3). Let u(s) = 8*s - 22. Let k(a) = -66*a + 180. Let x(c) = 11*k(c) + 90*u(c). Give h*x(m) + 8*b(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*k + 128 + 96 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -714 + 718. Solve 8 = -2*o, 4*l = c*o + 1 + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.7. Let d = 1.5 - -0.5. Let b = -23\/21 - -2\/3. What is the nearest to 0.1 in g, b, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*14\/(-21)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -930*q + 102 - 920*q + 1851*q. Let k(i) = -2*i**2. What is c(k(d))?\nAnswer: -2*d**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2623 and 13822479?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i. Let x(t) = -2*t. Let y(b) = -2*d(b) + 6*x(b). Let s(a) = -107 - 113 + 220 + 2*a. Determine s(y(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s - 23. Calculate f(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i + 46 = -75 + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 1, i: 2, l: 1, p: 1, a: 1}. What is prob of sequence rdi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 265, 398, 533?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1485301 and 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(1*sqrt(450))\/(sqrt(160)*-4) + 0)**2.\nAnswer: -45\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 6*z**2 + 8*z - 7. Let s be p(7). Solve s = 3*c - 2*t + 3, -3*t = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 + -46. Let o be j\/(-9) + 96\/18. Suppose 0 = 4*h - 20, -o*c - 3*h + 47 + 148 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1566 and 1914.\nAnswer: 17226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, s: 7}. Give prob of sequence xs.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02071 to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 770720, 770691, 770660, 770627?\n\"Answer: -l**2 - 26*l + 770747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.93 in 1, 0, -0.2, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31702399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 25) + -1 + -1 + (24 - 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 + 0.373?\nAnswer: -176.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-1*((-24)\/9 - -2). Differentiate -4 + 0 + 17*h + r - 8 with respect to h.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 10 = -2*o, -4 = -3*w - 2*o - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 310?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -37. Let k(h) = h**2 + 5*h - 3. Let u be k(-7). What is the greatest common divisor of u and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 3*z**2 - z + 22. Let h be m(4). Suppose -2*u = -h*f + 556, f = 3*u - 14 + 296. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6736.518 - 6720. Let p = 3.292 + x. What is p rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 11. Let m be (-3 + 1 - i)*0. Suppose -j + 4*j = 4*b - 64, m = 5*b + 5*j - 80. What is the highest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y**2 - y**2 - 3*y**2)*(7*y + 7*y + 71*y) to the form h + l*y + d*y**2 + a*y**3 and give a.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 0*w - w + (4*w - 3*w + 2*w)*(2 + 2 - 1) to the form a*w + l and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1133 - -1138. Let m = 0.05 + -5.05. Let q = m + x. Put 0.3, q, -3\/4 in increasing order.\nAnswer: -3\/4, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -11288 + 0*d + 11299 + 7*d - d**2. What is m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 358861645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 47277706?\nAnswer: -47277707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 6:06 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - -262. Suppose -4*m = -x - 478. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 152726?\nAnswer: 15272a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 + 191240*c + 191238 = 0?\nAnswer: -95619, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -368*n**3\/3 + 3*n**2\/2 - n. Let s be r(-5). Let u = -9983 + s. Round u to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (134 - 676 - 352 - 31)*(-2 + p + 2).\nAnswer: -925*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-23 - -24) + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8136)\/565)\/(-36))\/(36\/(-5))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/15 + k**4\/6 + 4*k**3\/3 - 10*k**2. Factor i(w).\nAnswer: -4*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 9:59 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 0.09680808712024?\nAnswer: -0.19680808712024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10495871 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2462897 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*t**3 - 69 - 167*t**3 + 60*t**3)*(-5 - 3 + 7).\nAnswer: -t**3 + 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/9 + 49324*h\/9 - 608214244\/9 = 0 for h.\nAnswer: 24662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6131*a**2 + 6117*a**2 - 24486*a**2 + 6112*a**2 + 6125*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13869788 < -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/(-60) - 3\/(9\/1300). Does 6 divide ((-1)\/1)\/(9\/v*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(15)*3)\/(sqrt(245)*-2) - -3*(sqrt(108) - ((sqrt(108) + 0 - sqrt(108)) + -3) - (4 + sqrt(108) + -1 + sqrt(108))))**2.\nAnswer: 45387\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 4) to base 8.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - y - 8, y + 19 - 139 = 4*n - 68 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 64 - 27 = 0. Let i = -20 + t. What is the lowest common multiple of (66\/i)\/((-7)\/49) and 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9739611 divided by 22?\nAnswer: -9739611\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 4. Suppose -19 = -2*z - 15*k + 10*k, -4*k = 4*z - 20. Suppose z*x - 88 = -44. Calculate the lowest common multiple of h and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - -3.98. Let i be (-255)\/(-221) + (8\/2 - (-35)\/(-7)). Sort -0.2, i, l.\nAnswer: -0.2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from {n: 2, k: 1, c: 5, g: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 5*l + 7. Let r be i(-1). Solve r*o + 1 = 5*w + 11, 3*w + 6 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 + 28*y**2 - 1. Let j(h) = 8*h**3 - 42*h**2 + 1. Let c(s) = -5*j(s) - 7*t(s). Find the third derivative of c(q) wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-32)\/(1 + -3) - -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460 is divided by 69.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.54 - 47. Let y = 0.34 - d. Round y to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + v + 2*v + 30*v - 19 + 19 + (-1 + 0 + 2)*(0*v + 4*v - 2*v) - 5*v + v + 3*v)*(6*v - 4*v + 0*v) to c*v**2 + q*v + i and give c.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 3*h - 6*h to the form c + x*h and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*z + 2283 + 7430 = -2889 - 4598 for z.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-50))\/((-30)\/(-30))*(-2)\/8.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160197 - 160194. Find r such that 0*r + 3\/2 - n*r**2 + 3\/2*r**4 + 0*r**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -52.031.\nAnswer: -52.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or 36420?\nAnswer: 36420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**2 + 5*i + 8. Let a(l) = 2*l + 1. Give 4*a(d) - y(d).\nAnswer: -10*d**2 + 3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*19*4344\/2172?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -101113020?\nAnswer: -101113013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/4165 and -125\/6664?\nAnswer: 33320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41460 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5565\/(-245) + 23 - (-709)\/(-56)) + 12.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1021.945184 to the nearest ten.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*a = -2, 7*a + 28 = 2*j + 3*a. Let l = 23 + -10. Let f = j - l. Is f at least as big as 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/18454348 and -91\/32.\nAnswer: 147634784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086579 is divided by 411?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7906 and 80594.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13215, 2, 464 in decreasing order.\nAnswer: 464, 2, -13215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7253 - -7256. Solve 0 = -x*o - 73*r + 78*r - 35, -r = -3*o - 19 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 572*p**5 + 14720*p**4 - 4144*p**3 - 4992*p**2 = 0.\nAnswer: -26, -6\/13, 0, 8\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 14. Let y be t + 61 + -6*1\/2. What is the tens digit of y + 1 + 6\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 26*x**2 + 5*x + 59. Let k(c) = 13*c**2 + 3*c + 29. Let n(m) = 4*b(m) - 7*k(m). Is n(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 63551?\nAnswer: 63552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25100 and 1530716677.\nAnswer: 1530691577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103701 by 23.\nAnswer: 103701\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 8. Let m be a(4). Let p = -2 - -14. Suppose -m = -4*v + p. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46636*v + 7392 = -46482*v for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 11 + 23 = 3*x, -20*x - 17 = u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/20*((-298920)\/(-371))\/(-235).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -153 + 160. Suppose f + 4*a = -r + 115, 3*f + a - 346 = 0. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 0 + ((-21 - -3) + 17 - 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 = -h, 4*u + 4*h = 4. Determine v, given that -27*v**2 + 0*v**4 + 10*v - 3*v**u - 41 + 11*v + 35 + 15*v**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 + 5*r**2 + 29*r. Let j(f) be the second derivative of -f**5\/10 + f**4\/3 + 14*f**3\/3 + 770*f - 2. Determine -4*j(b) + 3*z(b).\nAnswer: -b**3 - b**2 - 25*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/((i\/i**(-3))\/i)))\/i)\/i**(6\/5))\/(i**(1\/3))**(-49))\/(i*i**(-4)*i*i*i*i*(i\/(i\/(i\/(i**(-2)*i)))*i)\/i*i*i**(-2\/17)*i**3*i) assuming i is positive.\nAnswer: i**(2359\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 75*r**3 - 255*r**2 - 75*r + 252 = 0. Calculate r.\nAnswer: -28, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -502 + 4516\/9. Let p = 0.24 + -0.44. Which is the biggest value? (a) y (b) -50 (c) -3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000128767205 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -75 in -14\/43, 0, 2\/7?\nAnswer: -14\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 864 = 4*o - r, 109 = 5*o + r - 971. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39824 rounded to 3 dps?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -32*s**3\/3 - 168*s**2 - 882*s - 1892. Factor y(v).\nAnswer: -2*(4*v + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 14294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37585 - 4289.\nAnswer: -41874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16392 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17444 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -3 (c) -0.4 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 55. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1904d (base 14) to base 3\nAnswer: 10012200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 67720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.7568 seconds in nanoseconds?\nAnswer: 39756800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -45, -3, -5, -126 in increasing order.\nAnswer: -126, -45, -5, -3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -0.1. Let u = -349.23 + 348.73. What is the nearest to u in 0.2, -3, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*h**4 - 400*h**2 wrt h.\nAnswer: 2856*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 4 + 2*w**3 - 4.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -98, -17, 0.3, 0.5.\nAnswer: -98, -17, 0, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -875, -2844, -6613, -12770, -21903, -34600, -51449?\nAnswer: -73038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 23. Suppose 0 = -4*a + 10 + d. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*h**2 - 1511*h**2 - 37*h**2 - 26*h.\nAnswer: -1296*h**2 - 26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y - 170. Let m be i(-13). Which is the third biggest value? (a) -3 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 1, b: 4}. Give prob of sequence spp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 15, 32*a - 36*a + 18958 = 2*o. Suppose 6*i - 765 = a. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3859718 is divided by 1286516.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 7*g - 24. Suppose -2 = -y, g*f - 3*f = -2*y + 55. Let c = 33 - f. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.1 + -35. Let f = 129 + -126. Which is the second smallest value? (a) -6\/11 (b) f (c) 2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x - 1. Let w be r(1). Suppose 0 = -3*s - 12, -j = -w*s + 5*s - 8. Suppose 4*o - 3*l = 6*o + 17606, j*o + 35210 = -5*l. Round o to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*o - 2 = 0, 114*d - 5*o + 8 = 115*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/(-24))\/((-2)\/6). Suppose -r - 3*t = 9, t + a = -0*t. Let j be -2 + (-57)\/(-9) - 11\/33. Solve j*m + 9 = o, 0*o + r = -m - o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2238932 and 1790?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x + x - 238. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003073 rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 116*k**4 - 2*k**3\/3 + 5*k**2\/2 - 4*k + 33. Is 58 a factor of y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 18 = 5*o. Suppose -2*c + o = 1. Suppose 0 = 4*z - 5*z + c. Solve 6 = -z*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 60, 51, 42?\n\"Answer: -9*q + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-6) + 10\/(-15). What is the least common multiple of -3*2\/(-1) - 2 and (g\/(-10))\/(4\/(-5))*32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.02, -0.5, -45?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 2*w - 4. Suppose -h + 20 = 4*h. Suppose 2*z + 2 = 4*x + 14, x + 3 = h*z. Let g(o) = o**2 + o - 1. Give x*g(j) + d(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/36 + 2\/9. Let h(w) be the first derivative of w**6 + 0*w + y*w**4 + 0*w**5 - 7\/3*w**3 + 8 + 0*w**2. What is the third derivative of h(c) wrt c?\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 3*u**3 + 4*u**3 - 5*u**3 + (3*u**2 - 2*u**2 + 0*u**2)*(0*u + u + 0*u) + u**3 + 2*u**3 - u**3.\nAnswer: 5*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 + 50304*h\/13 + 100616\/13.\nAnswer: -2*(h - 25154)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**2 + 2*b**2 + 2*b**2 + (-b - 4*b + 3*b)*(-2 + 2 + b) + (-3*b + 2*b + 3*b)*(15*b + 1341 - 1341).\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-144)\/(-3)*(-64)\/(-3). Suppose -5*w = i - t - 4851, -4714 = -4*w + 2*i. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c - 4*c - 25*c**2 + 5*c**2 - 36*c wrt c?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*(6 - (-108)\/(-15)))\/((-9)\/60). Let k = 113 + -108.12. Let m = k + 0.12. What is the second smallest value in f, m, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6008997?\nAnswer: 3, 19, 47, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1134 - -1168. Solve 31*w - q*w - 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -475 - -511. Which is the nearest to -2? (a) -3 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 359380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.5 (c) -5 (d) -2 (e) -12\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, e: 4, s: 3}. What is prob of sequence ebe?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 1413*g - 2823*g + 1408*g - 3. What is s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5 - (-112)\/(-24))*7509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/5 - 116502656*k + 8483043034408960.\nAnswer: 2*(k - 145628320)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16317724 to the power of 1\/2, to the nearest integer?\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 61*l**2 + 3*l - 53*l**2 - 3*l.\nAnswer: -114*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43933 is divided by 2584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6638 divided by 5\nAnswer: 6638\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5567.669 * -2\nAnswer: -11135.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 947*n - 5*n**2 - 27*n**3 + 83 - 942*n + 26*n**3 in the form f*n + a + w*n**2 + x*n**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*o + 100, -3*c - 5*o + 50 = -4*o. What is the remainder when c is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 25704.\nAnswer: 25704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 10. Let x be g(7). Let p(l) = -l**2 + 6*l + 10. Does 3 divide p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (222\/148)\/(6\/40)*(-4)\/5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -ecc?\nAnswer: -eca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 10. Let v(k) = -4*k - 9. Determine 3*r(a) - 4*v(a).\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**4*y**3 + 11*m**4*y + 135*m**2*y**3 wrt m?\nAnswer: -24*m*y**3 + 264*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14761909, -118095232, -398571401, -944761840, -1845237973, -3188571224, -5063333017, -7558094776?\nAnswer: -10761427925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39194*a + 600 = -39269*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 14*i**2 + 2*i - 3. What is the remainder when d(-2) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/73026 and 145\/36?\nAnswer: 146052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 + 0*x**5 + 0*x**5 - 4*x**3)*(-1 - 1 + 1)*(2 + 1 - 4) + 14*x**2 - x**5 - 14*x**2.\nAnswer: -3*x**5 - 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 25. Let c = 25 - 7. What is the remainder when c is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxuxlzx. Give prob of picking 1 z and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 14*a - 22. Calculate t(-5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*g = -94*g + 3*r - 21, -g + r = 0. Suppose 0 = g*y - 2*t - 1172, -978 = -3*y + t + 190. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s + 6. Let q(g) = 2*g - 8. Let j be q(s). Suppose f - j = -3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222223 + 321111?\nAnswer: 32222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/3 + 1130*q**3\/3 - 34213*q**2\/3 - 53677260*q - 6769320012 = 0. Calculate q.\nAnswer: -189, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3919 divided by 6\nAnswer: 3919\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -20. Let p = -13 - u. Which is the second smallest value? (a) p (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41635 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 120\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308708733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24426688 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*m - 805, -3*m = 2*m - 4*d - 780. What is m rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -17*j**2 + 334*j - 34. What is the units digit of b(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n - 9. Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avaavav. What is prob of picking 2 v and 1 a?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1236)\/(-7527) + (-11)\/2 + 30*8479\/47580?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 6*z**2 + z**2 + (1 + 1 - 3)*(-2*z**2 + 2*z**2 + 2*z**2) + 0*z**2 + z**2 + 0*z**2 + (122 - 122 + 33*z)*(-4*z + z + 2*z).\nAnswer: -37*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k - 17. Let u be (-9)\/((-18)\/(-4)) - 2. Let n be a(u). Suppose 3*c = -3*v + 42 - n, -c - 2*v + 13 = 0. Is c <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:00 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2906, -30652, -76894, -141632, -224866?\nAnswer: -326596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, e: 1, m: 2, a: 2, l: 7}. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -122\nAnswer: -8.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/7 (b) -2 (c) 5 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (0 - -3)\/(-3). Let t be (1 - 41)*(l - 205002). What is t rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) 1 (d) 14 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467*d + 180 = -957*d + 475*d. Suppose -4*i + 3*i = 11. Does i = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138*-5\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-29 + 24)) + -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1185 divided by -3.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10110110110100 (base 2) to base 12\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098 + 1 - (6 - -30)\/9 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.039 + 10\nAnswer: 9.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from orkmurm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 13*o**2 - 123*o + 889. Give r(8).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/8 of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -101*z**3\/6 - 4*z**2 + 32*z. Is o(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 86 = 53*p - 42*p, -4*p + 5 = i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 551 divide 692039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/3)\/(6\/18*18)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13 + 5*o**2 + 7*o**2 + 17 + 11 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*j + 2*v + 36, 0 = -5*j - 4*v. Suppose -j*b + 1551 = -b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 8 + 5 - 3)*(2*f - 3*f + 0*f).\nAnswer: -f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2 = 0, 3*g - 2023*h - 2 = -2028*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -11) + 9 + 6 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1217680 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 47 (b) 3 (c) 2 (d) -0.5 (e) 0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*2*6 - sqrt(65))\/((sqrt(45) - sqrt(180) - sqrt(45))\/sqrt(9)).\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 84*s**2 - 32. Give a(84).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 0)*(-2*l - l + 2*l) + 2*l - 1 + 1 + (-2*l + 2*l + 2*l)*(2 - 1 - 2) + 1 - l - 1 - 3*l + 4*l - 3*l + 0 + l + 0 as b*l + f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 - 7*q - 5. Let g be b(-6). Let j = g - -1. Suppose -8 = x - j*x. What is the highest common factor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -30.1 = 3.732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13271 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 12. Let f be d(5). Let n(i) = -i - 4. Let v be n(f). What is the units digit of (-536)\/(-24) - (-2)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - (-2 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97\/535 + -2\/107. Let i be 4 + (-1)\/1 - 1. Let r be 18 - (-2304)\/(-126) - 8\/21. What is the closest to r in 4, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/7 - 1006070*s\/7 - 2012144\/7.\nAnswer: (s - 1006072)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 859, 847, 813, 745, 631, 459?\n\"Answer: -2*u**3 + u**2 - u + 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + -13)\/((-10)\/6). Let v(i) = 6*i**2 + i - 6. Let x be v(-6). Suppose q*l + 63 = x. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -76. Calculate the remainder when n is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*w + 165*w - 297 = -162*w + 3*q, 4*q - 269 = 5*w for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 21 = -5*l - 5*v, -v + 7 = 3*l. Solve -4*g = -5*u + 26, -g + u = -l + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9938608 to the power of 1\/2, to the nearest integer?\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 x when two letters picked without replacement from rrxxrrr.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 5)\/(-6) + 5813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1048 times -4\nAnswer: -4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/2 + 0 + -1. Let g(q) = 9*q - 6. Let y be (-1 - 1)\/(4\/(-8)). Let l(v) = -3*v + 2. Calculate x*l(a) + y*g(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = -3*s - 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1206 and 1205 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(3*2\/(-108)). Let a(k) = -k**2 + 12*k + 1. Let d(x) = x**2 - 11*x - 1. Let y(p) = 5*a(p) + 6*d(p). What are the prime factors of y(v)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 70*c - 68*c - 8. What is the second derivative of -11*z - 2*z + 5*z**c + z**4 wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0 + 5*m - 1\/2*m**3 - m**2. Differentiate b(w) wrt w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 2\/9 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/55 - (-6)\/10. Let f be -4 + 2 + g*4. Solve 20 = -0*r + 5*r + 5*w, -w - f = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2608, 3, -43, -3 in increasing order.\nAnswer: -2608, -43, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929873?\nAnswer: 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r + 12. Let n(k) = 9*k + 14. Determine -4*n(o) + 5*s(o).\nAnswer: -o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*5 + sqrt(110) + sqrt(110) - 1*sqrt(110)*-6)\/(3*(sqrt(160) - sqrt(160)*2)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.345 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/25424582 and 47\/8.\nAnswer: 101698328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -272 - -1005. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**2*m - c**2*p - 199*c*p - 105*m*p - m - 1 wrt m?\nAnswer: 3*c**2 - 105*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 38*w + 1. Determine m(8).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + 2*p)*(-25 - 34 - 333 - 299).\nAnswer: 691*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 0*h - 2*h + h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -328\/21, 0.9, -11\/4, -21\/5?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 465400 = -68521. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2867*b = -2888*b - 252 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8890 and 24094.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256683248 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -43.8. Which is the closest to 2\/9? (a) i (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-17 - (-15 + -3 + 2) - (9 - 0))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 1, h: 4, p: 4, m: 1}. What is prob of sequence pm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, f: 1, v: 3, d: 8, p: 5, a: 1}. What is prob of picking 2 d and 1 a?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5, 5*u - 437 + 402 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8027.94 to the nearest one hundred.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.4 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 24*b + 88. Determine i(-13).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 2\/23, -12958, 21, 0.015 in decreasing order.\nAnswer: 21, 2, 2\/23, 0.015, -4, -12958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12911247 is divided by 516449?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 2*s - 465*r + 509*r, 2*r = 3 + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 46775041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (96\/(-4))\/(-4) - -1. Let t be (4 - (-84)\/(-20)) + 63\/15. Suppose 2*j + t = w, -w + 0*w = j - l. Let k(z) = -2*z + 1. Determine k(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by 329.\nAnswer: -36\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k - 7, -2*y + 164 = 4*k. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - j - 2. Let h(s) = -s**3 + 12*s**2 - 13*s - 23. Let g(r) = -h(r) + 12*o(r). Let y(a) = a**3 - a**2 + 4*a - 2. Determine -2*g(m) + y(m).\nAnswer: -m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4 - 1 - (1 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/44 (b) 0 (c) -0.7 (d) -1\/2 (e) 5\/11 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 138880 and 0.02.\nAnswer: 2777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5019161 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 9*b**2 + 14*b + 9. Let q be j(7). Let y(t) = -2 + 267*t - q - 253*t. What are the prime factors of y(18)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42087.\nAnswer: 3, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 8*h + 39. Calculate f(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/154 - (-570)\/1463?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46488, 185958, 418410, 743844, 1162260, 1673658?\nAnswer: 2278038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 6*l = 15*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 + 2.5. Let a = i - -1.9. Let w be ((-2)\/8)\/(1\/2). What is the third biggest value in w, a, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 113, -14, 28, -1, -5.\nAnswer: -14, -5, -1, 5, 28, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1834 and 9563393?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603158653 to the nearest integer?\nAnswer: 24559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1718*g - 103. Let l(i) = i + 20. Calculate 5*l(v) + t(v).\nAnswer: 1723*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 6*x - 88*x as t + k*x and give k.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43\/6555 + -2\/95. Let y = -62\/483 + u. What is the closest to -1\/3 in 0, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148577 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 1110024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)*3)\/(5*(-1*sqrt(8) - sqrt(8)) - sqrt(8)).\nAnswer: 3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 20\/373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 263, 988, 2179, 3836, 5959?\n\"Answer: 233*z**2 + 26*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 270 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -39 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 - 8 - 76 + 2*o - 13 to the form c + a*o and give c.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -2 (b) -6 (c) -9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 207172285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -437*s**3 + 115. Let r(p) = -23*p**3 + 6. What is 6*q(o) - 115*r(o)?\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 11.\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 5 (c) 1 (d) -33 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6970505 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-40)\/(-650) - (-17)\/(-15)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:54 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 7*m - 28. Give k(5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g + 59*g - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104.13 - -107.13. What is the closest to 1\/3 in l, 38, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(700) + 2 + -5)*-6)**2.\nAnswer: -480*sqrt(7) + 25216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69751091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -43.1. Sort 1, n, -4, 0.\nAnswer: -4, n, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/40*-8 - (2 - (0 + -3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/13350 and -191\/146850.\nAnswer: 146850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) - (-224)\/6. Let g = i - 54. Let y = -43 - g. Is -27 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - (-1 - -3)) + 52. Suppose j = 14*p + 31. Solve 5 = -2*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - 33\/(-15) - (-5854446)\/45. Round u to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -21*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199529696?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from hhqhqhqhqqhqhn.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17122745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -o, -m = 4*o - 5*m. Let t = -4984 - -4966. Sort o, -5, t in increasing order.\nAnswer: t, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 15*s**2 - 10*s - 7. Let o be r(-8). Solve -4*b + o = 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 1 + -11 + 10 + 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 539\/715 + (-3)\/5\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1, 1\/45, 3, 1.7314?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 7. Suppose -18 = -5*k + 4*k. Let s be (-9)\/(-2)*k\/(-27). Let c be n(s). Let q(g) = g**3 - 4*g**2 + g + 4. Give q(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*r + 6 = 0, -s + 5*r - 8 = r. Suppose s = 4*a - 489 - 183. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -7*j**4\/2 - 104*j**3 + 30*j**2 = 0.\nAnswer: -30, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, 0, -3 in increasing order.\nAnswer: -11, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*p = -35, 0 = 4*i - p + 3*p - 30. Let q(s) = -27 + 11 + 6*s + 7 - s**2 + 5. Give q(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*i**2*s**2 + i**2*s - 2*i*s**2 + 992 wrt s?\nAnswer: -348*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/3, 2.08, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5264719259 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 26. Let r be a(14). Let 0*n**r + 0 + 0*n + 2\/3*n**3 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395425 or 8303902\/21?\nAnswer: 8303902\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 19*k + 16*k**3 + 31*k + 50*k - 205*k.\nAnswer: 16*k**3 - 105*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 + 515*p**2 + 74*p + 1035. Give o(86).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*2*(-3 + 91\/14) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1818.00003438 - -1818. Round t to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000014113 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Let g = u + 4. Let k(c) = -c**2 - c + 2. Give k(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i - 13*i + 16*i + (-i + 2*i - 2*i)*(0 - 2 + 4)*(0 + 0 - 2) - 1 + 1 + 3*i - 2 + 2 + i + (1 + i - 1)*(2 - 3 - 1).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/99 and -58\/6897.\nAnswer: 20691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/28 - (-4)\/14. Suppose -q = -v*q. Let z = 6 - q. What is the smallest common multiple of 1 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171c2 (base 13) in base 9?\nAnswer: -66645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/351 and ((-51)\/8)\/(((-6)\/(-24))\/((-10)\/(-54)))?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1510 (base 12) to base 8.\nAnswer: -4634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5 = -2*x, -19 - 1 = -v - 5*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122184516*f**3 + 3*f + 55054652?\nAnswer: 733107096*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 132.7 (c) 2 (d) -2\/7 (e) -0.3 (f) -7 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158191659?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 172270 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1075.1 + -1075. Which is the second smallest value? (a) 11 (b) m (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 2, s: 8, r: 4, d: 2, x: 2}. Give prob of sequence xd.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11079, 44062, 98589, 174294, 270811, 387774, 524817?\nAnswer: 681574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-8)\/(-144)*(-96363)\/(-166)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39653797 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2. Let a = -16 - -26. Suppose -a = n + n. Let l = 13 - 12. Let y(b) = -3*b**2 + 2. Determine l*y(v) + n*p(v).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57\/10 - -26\/5. Let r = 29.5 + -184.5. Let k = -183 - r. Do g and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -2) + 2\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81277081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58252171 by -653.\nAnswer: 89207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 15. What is r(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -26. Suppose v + 2 = l, 3*l + 1 = -5*v - p. What is the units digit of ((-4)\/v)\/(2\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**0))**(25\/6)*(i\/((i*i\/i**2)\/i)*i*i)\/i**(-3\/4))**(-24\/7) assuming i is positive.\nAnswer: i**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - b**2 - 2*b - 1. Let k be d(-1). Solve k*i - 2 = 2*z, 7*z = i + 3*z - 11 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -15*k - 4. Calculate the remainder when 41 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 57*k + 54. Give l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 329*l*s**3 - 2*l*s**2 + 623*l*s - 17*s**3 - 8*s**2 + 560*s - 2 wrt l?\nAnswer: 329*s**3 - 2*s**2 + 623*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*n - 951721*d*o - 1727*d + 6*n*o**3 + 5*n*o - 11842 with respect to o.\nAnswer: -951721*d + 18*n*o**2 + 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/5)*w*w*w**5)\/((w**3\/w*w*w)\/w**(2\/3)) assuming w is positive.\nAnswer: w**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 129, 193?\n\"Answer: 64*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(81)*3 + sqrt(9)))**2 + (4 + (sqrt(50) - sqrt(800))\/sqrt(10))**2.\nAnswer: -24*sqrt(5) + 1221\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (108 - 79) - (-3 + -2)) + -24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 12*k - 25. Let f(v) = -7 + 5*v + 114*v**2 - 111*v**2 - 17 + 7*v. Let i(s) = 5*f(s) - 6*u(s). List the prime factors of i(8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 117, 98, 63, 6, -79, -198, -357?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (1 + (3*sqrt(1700) - sqrt(1700))))**2.\nAnswer: 20*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -31156 times -2\nAnswer: 62312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002447 rounded to 7 dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4823)\/106 + (1*2\/4)\/((-10)\/10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.282 (b) 11570 (c) 0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 168125 - 10?\nAnswer: 168115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 295 - 202. Is z a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 834 + -1389. Let k = z + 554. Which is the nearest to -0.1? (a) k (b) 2 (c) 1 (d) 45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 20*l**2 + 59*l + 600. Determine b(-13).\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by -5.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2\/6 + 45769*h\/6 - 18248776\/3 = 0.\nAnswer: -46553, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 72*v**2 - 69*v**2 - 2*v + 3*v as m*v**2 + q + h*v and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -24*g + 798 - 798 + 13*g + 16*g. Let m(v) = -5*v**2 - 3*v. What is a(m(n))?\nAnswer: -25*n**2 - 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12049000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**7\/4620 + x**5\/660 - 2*x**3\/3 - 6*x**2. Let j(k) be the first derivative of d(k). Solve j(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -178, -3, -0.152?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, 10, -8028, 1 in ascending order.\nAnswer: -8028, 1, 10, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h - 3 = 0. Let b be 8 + -2 + h - -3. Solve -b = -5*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-470240)\/(-180) - 4\/9. Suppose m = 5*d + 232. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + t + 12, -3*k = 3*t. Let m = 20 - -9. Suppose -5*j = 5*p - 35, 2*j + 0*p - p = m. Solve d - j = -k*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Suppose g = -0*w - w + 16. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Let r(z) = -3*z. Let l(d) = -8*d - 36. Let o be l(-4). Determine o*i(f) - 3*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 - 7*z + 7*z - 13*z**3 - z - 4*z**2 to j*z**2 + g*z**3 + u*z + y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b - 200. Let w(g) = -3*g + 93. Let k(z) = -13*w(z) - 6*x(z). Let c(o) = 5*o. Give c(k(y)).\nAnswer: 15*y - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -326 + -4?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w + 10*w + 5 - 4*w**3 + 5*w**3 + 7*w**2. Suppose -37*v + 34*v - 16 = 5*q, 0 = 2*q + v + 7. Calculate d(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -24*s - 42 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -1\/8 (c) 0.2 (d) -20\/9 (e) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from ebc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1797*u + 946*u + 1102*u - 3 - 724*u + 621*u. Let p(i) = -2*i**2. Calculate p(z(n)).\nAnswer: -28005128*n**2 + 44904*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*g + 23*g - 30*g)*(-4 + 2 - 3).\nAnswer: -260*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l - 4*q + 1, 2*q = 3*l - 3. Solve 3*x + 2*x = v + 11, 0 = x + v - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 212*w - 203*w - 45. Suppose -2*m + u + 9 = 0, -3*u + 13 = 3*m - w. Solve -4 = m*d + 3*r, -5*r - 4 = 3*d - 4*r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51650917?\nAnswer: 51650917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397688*t - 424368*t + 822057*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -2 - 3 - 379. Calculate the common denominator of 7\/21 - 574\/(-132) and 4\/(-6) + y\/(-60).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/40*6)\/(4 - 664\/160)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.958. What is the second biggest value in -2\/11, -2\/7, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/2 + (-1)\/2. Let q(h) be the third derivative of -h**4\/24 + h**3\/3 + 2966*h**2 - 6. Let n(i) = -6*i + 2*i + 3*i + 3. Determine j*n(p) + 7*q(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5))**(2\/9)*o**12*o**(-1\/14)\/o assuming o is positive.\nAnswer: o**(1237\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190 + -100. Suppose -2*c - 72 = -4*x - 4*c, -5*x + a = 2*c. Suppose u = 43 + 2. Calculate the highest common factor of x and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*b - 55*b - z + 26, -4*z + 3 = -9*z - 2 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, d: 3}. What is prob of sequence dp?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.59049 millimeters in micrometers?\nAnswer: 90590.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (13\/4)\/(1\/4). Suppose 0 = 3*y - 5 - p. Let f = y - 4. Solve f*b - 1 = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 288. Let f be j(0). What is the remainder when 27 is divided by f\/(-60)*20\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*r + 20, -3 + 23 = 5*r. What is the first derivative of 0 - j*u**2 - 1 - 2*u**2 wrt u?\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106452327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -76, -93, -114, -139?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.666?\nAnswer: -0.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/7, -2, -5, -0.086?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Suppose n*l + 3*l + 42 = 0. Let q = l + 24. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 43, 66, 99?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034377856 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/20*(-2)\/(((-16)\/(-14))\/(130\/91))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + -55 + 11 - ((-2 - -2) + 0).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, m: 12, e: 1}. What is prob of sequence mx?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i - 2. List the prime factors of b(5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -0*o + 3*o + 9, -4*o + 27*i + 65 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 18 - (-13446)\/(-747). Suppose 0*s + 5 = -s. Which is the nearest to -3? (a) v (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + k**2 + 12*k + 9. Determine j(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 2*p**2 + p - 1. Let j be l(1). What is the tens digit of -93*(j + (-20)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose -5*n - k + 23 = -4*k, 3*k + z = 0. List the prime factors of (n\/(-6))\/(4\/(-78)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1, 0.1405, -4\/3?\nAnswer: 0.1405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 12. Let s be p(9). Suppose w = -3*z - 2286, -w - z - 2266 = -s*z. What is the tens digit of w\/(-14) - 12\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2163\/206 - 1677\/78?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**3 - 1593*c**2 - 47700*c + 101796 = 0.\nAnswer: -499, -34, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/42819612 and 151\/15570768.\nAnswer: 171278448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/(-15) - (-9)\/(-15). Solve -u*c - 3 = 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/4 - 8*y**3\/3 - 9*y**2 - y - 6. What is the units digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*191769.\nAnswer: 76707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-716 - 778 - 406 + 266)*(t + 2*t**3 - t) - 9*t**3 + 5*t**3 - 11*t**3.\nAnswer: -3283*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -4\/3*p**3 - 7*p - 3*p**2 + 23 - 1\/4*p**4. Let r be m(-3). Calculate the highest common divisor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d**2 + 2057*d + 2673. Determine q(207).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 1. Let k(s) = -348*s**2 - 350*s**2 - 4*s + 4*s + 701*s**2 + 3. Give -12*a(z) - 5*k(z).\nAnswer: -3*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 - 29124*n**2 + 283955031*n\/2 - 5911792047.\nAnswer: 3*(n - 9687)**2*(n - 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, j: 12}. What is prob of sequence xxx?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 0)\/(2\/22). Let j = f - -20. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22237 greater than 22237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 8*l**2 - 11*l + 21. Let m be d(9). Solve -m*r = r + k - 5, k = -r + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:56 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 51. Calculate l(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7046605 and 2085.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 33 - 36*o**2 + 41 - 74. Let v = -5 + 7. Let b(y) = 319*y + 2*y**v - 319*y. Calculate b(n(f)).\nAnswer: 2592*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*h + a**3 + 1376652*a**2*h - 13*a*h + 3867498*a + h wrt a?\nAnswer: -6*a*h + 6*a + 2753304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l + 117*l = 728 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117512308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - -3) + 24 + (4 - -1). What is the greatest common factor of 69 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1443728 and 60576?\nAnswer: 8662368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 6 = 11*n + 71, 5 = 3*n + 4*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*l + 6. Let j be 3 - (l + 0)*-1. Let t be (26 - 11) + 4 - 16. Solve -t*p + 20 = j*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/540 and 191\/2280?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -48. Suppose 4*s + s = p. Calculate the smallest common multiple of s and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011011011100000000 - -101011?\nAnswer: -11011011011011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:39 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 3:08 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/17 - 231156*q\/17 + 231154\/17 = 0. Calculate q.\nAnswer: 1, 115577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2869218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14029 (base 11) to base 2\nAnswer: 100111000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9439 or 103824\/11?\nAnswer: 103824\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39569, 78952, 117985, 156494, 194305, 231244?\nAnswer: 267137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -458*f**3 + 8*f**2 + 4292 wrt f?\nAnswer: -1374*f**2 + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**(-47)\/(i*i**(-7)*i)**(-2\/19) assuming i is positive.\nAnswer: i**(-4475\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69491 is divided by 2618.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808 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: Calculate (1520\/(-60) - -25)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 182970.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1470033297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*c + 120*c = -24 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4590901\nAnswer: 4\/4590901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3541687m in kilometers?\nAnswer: 0.0003541687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 3:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g - 24. Give o(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2394\/56)\/(-3) - -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1335430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88637286 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22116, 0.5, 5\/4, -5.\nAnswer: -22116, -5, 0.5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -148*j*q**2*v + 3*q**2*v - 11*q*v with respect to j.\nAnswer: -148*q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 32 = -3*t, -4*l + 15 = -5*t + 75. Let c be 8\/5*l\/(-8). Suppose 2*h - h - c = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12411 divided by 1.\nAnswer: 12411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 126. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4431140 (base 6) to base 16.\nAnswer: 362c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -51 + 3. Let i = n - 16. Solve -5*y + 14 = 2*w, i*y + 7 = -w + y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847531711?\nAnswer: 13, 65194747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 168*q - 31. Let r = -65 + 73. Is s(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 4*b**2 - b**2 + (0*b + 3*b - b)*(4 - 4 - 1)*(-1942 + 253 + 1314*b - 1313*b).\nAnswer: -b**2 + 3378*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/(-10) - 21\/(-35). Calculate the common denominator of 42\/11 and (c\/(-20))\/(-6 - 4005\/(-666)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -34631 divided by -34631\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 168 = -11*j + 18*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*x - 12. Let k(f) = -16*f. What is the tens digit of k(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.163+-7.733\nAnswer: -7.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7\/2, 0, 0.04, 12.17, 3\/5?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171882 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 8158*y**2 - 4077*y**2 + 421 - 4080*y**2 as k*y**3 + z + f*y + c*y**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.15 - 0.15. Let o = s + -6.9. Let u = -110 + 114. Sort 0.2, o, u in descending order.\nAnswer: u, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46185616*x**3 - 92452784*x**2 - 163140*x - 72.\nAnswer: -4*(x + 2)*(3398*x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1892187 is divided by 4046.\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 18*n - 73. Calculate the remainder when 130 is divided by h(-22).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 1874?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081428 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/232)\/(35\/5320).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-2\/99)*((z\/(z**(-2\/11)*z*z*z))\/z*z)\/(z\/(z\/(z**(1\/16)\/z)))*(z**(-1\/2)*z\/(z**(-4)*z*z))\/(z**(-2\/9))**(-2\/3) assuming z is positive.\nAnswer: z**(6895\/4752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 12. Suppose 0 = 5*w - 4*k - 66, 2*w = 2*k + 17 + y. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(4\/2) + 5. Suppose -6*x = 5*y - m*x - 532, -4*x = -4*y + 404. Suppose -2*q + 4*q - 52 = 0. Calculate the greatest common divisor of y and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7671082 divided by -613?\nAnswer: 12514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**6\/180 - 17*z**5\/10 - 867*z**4\/4 + 4*z**3 + 172. Let n(o) be the third derivative of y(o). Factor n(s).\nAnswer: -2*(s + 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 5*a**2 - a - 1. Let h be f(-5). Suppose h*j - 2*o + 30 = 0, 0*j - 3 = j - 5*o. Let s = j + 11. Solve -s*v + 4 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*w = 10114*w + 184419 - 314384 - 388455 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -144*w**3 - 44211*w**2 - 12488960*w.\nAnswer: -864*w - 88422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11*n**2 + n - 3. Let l(y) = 32*y**2 - 4*y + 8. Calculate 8*d(m) + 3*l(m).\nAnswer: 8*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*l + 21530 - 21544, 0 = -w + 3*l + 2 - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802171447.\nAnswer: 7, 11, 941, 11071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3 - 2*c - 3*c - 12*c**2 + 13*c**2 + 0*c. Let d be q(6). Let g be 9 + 2 + 4 + -6. What is the greatest common divisor of d and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4299 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {j: 2, z: 9, u: 6}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4566768?\nAnswer: 2, 3, 89, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30526075 minus 960362?\nAnswer: -31486437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*3*sqrt(17) + sqrt(2057)*-2))**2.\nAnswer: 170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 41. Let v(q) = q - 11. Let y be v(m). Let w(t) = 9*t**3 - 5*t**2 - 3*t - 5. Let d(u) = -4*u**3 + 2*u**2 + u + 2. Determine y*d(l) - 2*w(l).\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 602 + -599. Suppose i*f - 2*b = 448, -10*b + 6*b = -4*f + 596. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36359, 41899, 47439?\nAnswer: 52979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20173473 and -0.3?\nAnswer: -6052041.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-6)*(-168)\/140. Let t(i) = -2 - 2 - 8*i + i**2 + 6. Let o be t(g). What is the fourth smallest value in -1\/4, o, 12, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/84 and -173\/120.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/3 + 2\/6. Let y = -2 - c. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2158*g + 3723*g - 1810*g + 0 - 3.\nAnswer: -245*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 7*j**2 - 4*j - 9. Let o be t(-3). Suppose 0 = 7*s - s + o. Let q be (-93)\/(-33) - 2 - 6\/(-33). Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z**2 + 3*z**2 + z**2. Let q(k) = 10*k**2. Give j(q(m)).\nAnswer: 400*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13338 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: Suppose -3*w = w - 8. Let f = -23 + 66. Suppose 6 = w*g + h - f, 5*h - 70 = -3*g. Solve v + 4*v = g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -a + 3*y, 20 = 22*y - 17*y. Put a, 69, -1 in increasing order.\nAnswer: a, -1, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -38. Suppose 0 = t + q - j*q - 21, 0 = -5*q - 5. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*sqrt(21)\/sqrt(3) + sqrt(847) + (3 + sqrt(847) + -3)**2.\nAnswer: 5*sqrt(7) + 844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3302284*k**4 - 2*k**2 + 10*k + 104 wrt k?\nAnswer: 79254816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*z + 4*z - 175*z - 167*z.\nAnswer: -37*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 - -98. What is the second biggest value in 0.01, n, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1914 * -2.\nAnswer: 0.3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -4) + 0\/(-2). Solve -4*w + 0*w - 12 = d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182141 + -182139. Find q such that 0 + 12\/5*q**2 - l*q = 0.\nAnswer: 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 59819?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81751, -81741, -81731, -81721, -81711?\nAnswer: -81701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/171)\/((-23)\/276)*(-33)\/22?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l - 238 = -14*u - 27*l, -4*l = -2*u + 34. Solve w + u = -4*n, 7 = -3*n - w - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 4*i**2 + i. Let g be n(-5). Let s be 168\/(-4410)*-25 - (-4)\/(-6). Let m = 0.36 - 0.06. Which is the nearest to g? (a) s (b) m (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*g - 16, 3*g = -l + 7 + 16. Let s(a) = -11*a + 6. Let w be s(-6). Suppose 0*f - w = -4*f. Calculate the smallest common multiple of l and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64755, -129480, -194195, -258900, -323595, -388280?\n\"Answer: 5*d**2 - 64740*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 520440 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 0*a**5 + 0*a**3 + 0*a + 3*a**2 + 1\/105*a**7 + 0*a**6 + 1\/8*a**4 + 0. Find the second derivative of l(q) wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:16 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 31*u**4\/24 - 7*u**3\/6 + 250*u**2. Let l(s) = 2*s**2. What is l(j(n))?\nAnswer: 1922*n**2 - 868*n + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 3*v - 18. Let k = -1 - v. Suppose 2*a = 63 + k. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -346, -273, -200?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -478 + -1624?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(126) + sqrt(126))*4 - sqrt(126)) + sqrt(126) - sqrt(126))\/(sqrt(847)*-1))\/(-5*sqrt(27)\/(sqrt(3)*2)*6).\nAnswer: -sqrt(2)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 660 + -647. Let k(i) = i**3 - 6*i**2 + 5*i + 3. Let h be k(5). Solve h*n - 6 = -3*r, -r - q = -n - 3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48505 is divided by 6057?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 2*o + 4, -3*k - 4 = o + k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10032 (base 6) in base 12?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23247 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12655 rounded to the nearest 100?\nAnswer: 12700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 125 - 41 = 0. Let p = m + -7. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218\/9 + 24. Let c = -37.95 + 33. Let b = -0.05 + c. What is the third smallest value in b, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 34. Suppose -4*j + 155 = j + h, 3*h + g = 2*j. What is the highest common factor of 150 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36\/1963 + -86791\/512343. Let h = -383 + 11108\/29. Let d = h - f. Which is the second biggest value? (a) d (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6929 = u, -563*u + 4157 = 3*p - 564*u. Is p a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220146 is divided by 4080.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m + 3*m - 5*m + (207 + 211 + 144)*(-3*m + m + 4*m).\nAnswer: 1128*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 3. Suppose -1 + 8 = 5*h - l*a, -3*a + 6 = 0. Solve -3*q + h = 2*x - 2, -x + 2*q - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1907*x + 9 - 7 - 2.\nAnswer: 1907*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-13)\/(182\/1225)*50\/(-125).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2 - (-11 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 10590.\nAnswer: -1\/1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqquqqqqqqqqquuqqwq. Give prob of sequence qq.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let x be (-2)\/(m\/((-2)\/(-26))). What is the smallest value in -0.2, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1641.5 - 1641.8. Which is the nearest to -1\/3? (a) 0.3 (b) 0.5 (c) m (d) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.1, -4, 209, 14 in decreasing order.\nAnswer: 209, 14, 3, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - -17) + 20 + -28?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -9.6. Let v = b - 4.2. Let w = v - 5. Put -4, w, 2 in increasing order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(6\/5))\/(t\/t**2))**(-1\/17) assuming t is positive.\nAnswer: t**(-4\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8620*w + 7264*w + 9492 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/11 and -28\/149044921?\nAnswer: 1639494131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(117) + 2*sqrt(117) - sqrt(117)) + sqrt(117))*-2)\/(sqrt(45)\/sqrt(5)*6))**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 15\nAnswer: -176\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-3)\/1)\/(-22 + 25 + 2040\/(-690))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1834?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8991 = 8411*w - 8744*w for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9535*2508\nAnswer: 23913780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/4)\/((-20)\/(-520)*13))\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*x = 2*q - 14, 5*q - 37 = -4*x. Suppose q + 3 = 4*f. Suppose -36 = -f*j - 2*j. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1095 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6497*k - 14769.\nAnswer: 6497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4477, 4586, 4765, 5014?\n\"Answer: 35*k**2 + 4*k + 4438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1 + sqrt(1100) + 1 + 2)*4 + (sqrt(1100) - (1 + sqrt(1100) - sqrt(1100))*-3) + sqrt(1100) + (-1 + sqrt(1100) - sqrt(1100)) + 2 + 3)**2.\nAnswer: 1800*sqrt(11) + 39822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12504306 * 2.\nAnswer: -25008612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 2\/29 (b) 3\/8 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 5*c**4\/24 + 2*c**3\/3 + c**2. Let p be f(-6). Let o be (0 + p\/(-5))*5. Solve -6 = 2*a - k, -k = 4*a + o - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 13) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(-27) assuming s is positive.\nAnswer: s**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 43 - 15 + 244*a**3.\nAnswer: 244*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 961, 960, 959, 958, 957?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 - 3*n - 2 + 2*n + 0*n + n**2 to m*n**3 + q*n**4 + z + i*n**2 + c*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.7 - -6.72. Let f = 89.0205 - 89. Let y = f - d. What is y rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*o**3 + 65*o**3 - 5*o**3 - 29*o**3.\nAnswer: 86*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -614 + 905. What is the remainder when n is divided by 57?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194 + -196. Let g = -3.6 - -4. Which is the nearest to v? (a) -5 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -20. Let b(w) = -w + 6. Let m = -18 + 11. Let c be b(m). Solve 4*s - n - c = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0263 + -2.0263. Suppose 4*m - 3 = 13. Suppose -4*p - m - 8 = 0. What is the closest to 0.1 in p, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (770\/(-40))\/((((-49)\/(-56))\/7*-2)\/1)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -267.516 and 1?\nAnswer: -267.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10337 - -16432. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g + 0*g + 7*g - 8*g to the form d + f*g and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/75 and -44\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -13, 2, -1\/215, 1\/7, 4\/7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082370 divided by -1?\nAnswer: -1082370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/5972753 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13220012303 - 1?\nAnswer: -13220012310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -112061\nAnswer: 2\/112061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -48 + 11\/55*65. Sort -2, -6, c, 4 in decreasing order.\nAnswer: 4, -2, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 3 - 1 - 835*s**3 + 0 + 836*s**3 - 2*s**4 - 2*s to p*s**2 + j*s**4 + w*s**3 + o*s + r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6)\/sqrt(3) - (sqrt(72) + sqrt(72)*2 + sqrt(2)) - 2*(2*sqrt(2) + 0))**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 741.9 - 742. What is the closest to 0 in m, 5, 14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 2. Let d(m) = 2*m**3 - 18*m**2 - 10*m - 23. Let x be d(9). Let c = 107 + x. Determine g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799036051 to the power of 1\/4, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q**2 + 1. Let v = 3 + -4. Let n be s(v). Let o = -118 - -108. Is o <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 1\/281929 (c) 4 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16346 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 862 + -852. Let v(d) = -d. Let c(x) = -x**2 + 8*x. Let m(i) = -c(i) + 2*v(i). Let q be m(u). Is q not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -5*x + 4*s, 137 = 2*x + 2*x + 5*s. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**2 + 5. Suppose 0 = 3*t + 4*r + 8, -4*r = -0 - 4. Let f(h) = 9*h**2 - 4. Let u(z) = t*g(z) - 5*f(z). Factor u(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 20\/7209 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3)*w)**(-1) assuming w is positive.\nAnswer: w**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1098\/72 - 1\/4. Solve 3*x + q = -3*a - 0*a, 0 = 4*a + 5*x + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -70.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**11*i**(-15))**(-4\/23) assuming i is positive.\nAnswer: i**(8\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.0185, 4, -37, 0.33?\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -641, -367, 321, 1435, 2987?\nAnswer: 4989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500073750 and 106920?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67362?\nAnswer: 2, 3, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -11. Let g(u) = -7*u**3 - 31729*u + 63463*u - 31729*u - 3*u**2 - 1. Is g(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67138 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. Suppose k = 5*f - 25 - 20. Solve 2*g + f = 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*r**5 - 5784*r**4 - 521281*r**3 + 261726*r**2 - 32761*r = 0. Calculate r.\nAnswer: -181, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106724*s + 117 = 106727*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 175 - 181. Suppose -2*t - 4*p + 16 = 0, -38 + 31 = -m*t + 5*p. What is the remainder when 370 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esaheese. What is prob of sequence esa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6876 (base 13) to base 5.\nAnswer: 132442114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z + 5*d - 55 = 0, -4*z + 3*d = 42. Let v(m) = -85*m - 4. Let p be v(-4). Is (-2)\/(-3) - p\/z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Sort j, 13, 1\/5 in increasing order.\nAnswer: 1\/5, j, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let f = -6121 + 6120.8. Sort 3, -1, f, l in descending order.\nAnswer: 3, l, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251923 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 943 + -1481. Let n = -535 - k. What is the remainder when 7 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**7\/525 - v**6\/150 + v**4\/30 - v**3\/15 + 11*v**2. Factor d(r).\nAnswer: 2*(r - 1)**3*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53604410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 152 = -i, 301 = 2*o - 3*i - 0*i. Let m = -147 + o. Let p(u) = -u**3 - 6*u**2 - 3*u - 6. What is the lowest common multiple of p(-6) and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1353*j**3 - 1092*j**3 + 2234*j**3)*(j**2 + 4*j**2 - 3*j**2) + (-2*j**2 - 4*j**2 + 4*j**2)*(j**2 - j**2 + 2*j**3).\nAnswer: -426*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.962 - 11. Is 0.1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53865375 or -161596127\/3?\nAnswer: -161596127\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:40 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-60)*6)\/(495\/(-18810))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 24, 1046*w + 76989 = 1051*w - v. Does 29 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7902 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 * -2.6.\nAnswer: 197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r**3 - 14*r**2 + 20*r - 56. List the prime factors of v(-14).\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/25)\/k**12 assuming k is positive.\nAnswer: k**(-298\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5615014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 28138 divided by 152\nAnswer: 14069\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -693 + 664. Let g = w - -32. Solve -13 = g*j + 2*t, -5*t + 3*t = 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3 - 2*t + 8 - 1 - 2. Let g be j(-6). Solve 0 = -3*l - 2 + g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29955.974 + -29919. Let k = 0.026 + o. Let h = k - 37.0264. What is h rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15172841 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 25178.\nAnswer: 25178.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35274 is divided by 5039.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(300) + 3)*6)**2.\nAnswer: 34560*sqrt(3) + 177984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -15*n**2 - 22*n + 1. Let q be m(4). Let c = q - -404. Is c a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v - 20*v + 105 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -33. Let h be p\/8 + (-1)\/2. What is the greatest common divisor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.717 rounded to two decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -305 + 489. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - y = -4*y. Solve 7*w - 11*w = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 17 = 2*c + 3*x, -2*c - 4 = -4*x. Let q = -6 + 6. Suppose -w - 5*d + 9 = -1, 4*w - 3*d + 29 = q. Sort -3, w, c in decreasing order.\nAnswer: c, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48846, -97694, -146542?\n\"Answer: -48848*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 571.\nAnswer: 20556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125*r**3*t**2 - 715*r*t**3 - 158095*t**3 with respect to r.\nAnswer: -375*r**2*t**2 - 715*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/2 - 21*a**2\/2 - 10*a = 0.\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q - 3\/4*q**2 - 3 = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/4 + 1149*j**3 + 449856*j**2 + 52481088*j.\nAnswer: 3*j*(j + 264)**2*(j + 1004)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 9 = -m, 14*m = 18*m - r + 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19599501 is divided by 2170?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let b(d) = 3*d**2 - 4*d - 3. Let h be b(o). Solve -3*i = 5*t - 4*t + h, 5*t - 2*i = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68182151?\nAnswer: 613, 111227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43393 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:50 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3 - (1 + (3 - 9))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnggggng. What is prob of picking 2 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(168)\/(sqrt(48)\/sqrt(4)))\/sqrt(7)*2 + 4 + sqrt(126)\/sqrt(7) + -5)**2.\nAnswer: -20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**2\/7 - 900*n + 2678208\/7 = 0.\nAnswer: 592, 1508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12152.7784 and -718?\nAnswer: 11434.7784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -15, -2*r + 359 = -6*r + 5*k. Calculate the common denominator of -67\/6 and (-3)\/6 + r\/(-22).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5769 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 - 41 = 0. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 bigger than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 36 = -2*u. Calculate the common denominator of (-417)\/(-18) - -2 - 2 and (1 - 10)*(-15)\/u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 greater than 139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/7 + 6*d**2\/7 + 282*d\/7 - 286\/7 = 0.\nAnswer: -11, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -699 and -686 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 16 = 0. Let r(q) = -2*q**2 - 4*q**2 + q**2 + m*q**2. Let p(u) = 2*u**2. Give p(r(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5461 + -229193\/42. Calculate the common denominator of 39\/70 and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1))**12*((d**(1\/6)*d)\/d)\/d*d**(-2\/27)\/d assuming d is positive.\nAnswer: d**(1193\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:29 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 15*u**2 - 58*u - 14. Let v be p(-6). Let i(s) = 2*s - 8. What is i(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 680 + -680.00000084. Round m to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -332041024?\nAnswer: 332041020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 384 = 106*c - 104*c, 3*z - 405 = -5*c. Calculate the remainder when 209 is divided by z.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2534 - 2452. What is the remainder when z is divided by 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27 + 28)\/((-2)\/(-82)). Suppose h - 2*p + 11 = 0, -4*p - l = 5*h - 0*p. What is the units digit of ((-10)\/(-6))\/(h\/(-297))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 2. Let v be g(-2). Let z(a) = -a + 3. Let r be z(-5). Solve -r = -4*c - v*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 9*h - 18. Let r(j) = -j + 2. Let x(p) = -2*i(p) - 18*r(p). Let d(a) = 13*a. Give x(d(v)).\nAnswer: 676*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126\/17 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7874.\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1630235217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, h: 4}. Give prob of sequence hhhh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 818, 0, -1, 5, -2 in decreasing order.\nAnswer: 818, 5, 3, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0.2, 3\/5, 0, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1280674 and 1280677 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1336 = -3*l - 2*l - 3*u, 0 = -3*l - 4*u - 806. Let t = -152 - l. Let z = 183 - t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 226, 250, 274, 298, 322, 346?\n\"Answer: 24*b + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3384938 and 67541.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/171 - (-4)\/(-38). Calculate the smallest common multiple of (i\/(-6) + -1)*-2 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 2784?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18003454 divided by -28898\nAnswer: -623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 5*b - 7. Let l(h) = -3*h**2 + 8*h + 11. Let w(o) = 7*c(o) + 5*l(o). Let y(k) = -k**2 - 32*k + 151. Let p be y(-36). What is w(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.8458302 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -8, -39, -106, -221, -396?\n\"Answer: -2*a**3 + 7*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.083 (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 25 = -p - 3*f, 4*p - f = -5. Suppose p = -a - 1 + 4. Let l(s) = s**2 + 19*s + 49. Let h be l(-16). Solve 5*x + 2 = -a*k, -k = -3*x + h - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-819)\/(-4))\/(-2 + 147\/72). Let h = r + 7786. Round h to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let w(i) = i**2 + 7*i + 9. Let r be w(-6). Suppose 0 = -n - r, 5*n = -5*g - 23 + 8. What is v(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(2)*-2)**2 - (-1*sqrt(32))**2)*6 - (4 + sqrt(24)\/(sqrt(1728) - -1*sqrt(1728)))**2) + 2.\nAnswer: -45505\/288 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i + 7. Suppose -5*s - 29 = 4*z, -i*z = -s - s - 7. Let g be (2 - 4)*(-1)\/2. Which is the smallest value? (a) z (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1898*s - 9711. Give n(-5).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20312 or -20306?\nAnswer: -20312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 22. Let j be v(24). Let t(o) = -27*o - 8. List the prime factors of t(j).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 8158\nAnswer: -4079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 51, 78, 105, 132?\n\"Answer: 27*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81738021134 plus -451?\nAnswer: 81738020683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/9)\/((-2)\/12). Let d be ((10\/4)\/((-105)\/(-252)))\/2. Suppose d*p - p = s. Solve 0 = 2*t - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*z**5 - 32*b**2 - 65*z**6 - 2*z**2 wrt z?\nAnswer: 60*b**2*z**2 - 7800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.01 + 5.01. Let d be (-56)\/(-175)*(-80)\/64. What is the nearest to 1 in 3, d, o, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**0)\/s**(-18\/5) assuming s is positive.\nAnswer: s**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqqqqqqssqs. What is prob of picking 3 q and 1 s?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 139*y**3 - 32*y**2 - 9*y - 12. Let x(w) = 69*w**3 - 16*w**2 - 5*w - 7. What is -4*l(g) + 7*x(g)?\nAnswer: -73*g**3 + 16*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-8) + (-3)\/(-12). Let s = i - -12. Let f = s - -6. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28642623 to the power of 1\/2, to the nearest integer?\nAnswer: 5352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f\/(f\/(f**41*f)*f*f)*f)\/f)*f)\/f**33 assuming f is positive.\nAnswer: f**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 0*i)*(36*i - 2190 + 2190)*(0*i - 2*i + 3*i).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 2*v**3)*(v**2 + v**2 - v**2) - 941790*v - 2364*v**5 + 941790*v.\nAnswer: -2362*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 10:27 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688762066 to the power of 1\/2, to the nearest integer?\nAnswer: 26244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31655 or -3?\nAnswer: 31655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 34197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 499*l**3 - l**2. Let j be r(1). Let u(x) = 237 - 1033329*x - j + 235. Let d be u(6). What is d rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -17. Let v = 16 + l. What is the third derivative of -18*y**v + 53*y**2 - 3*y**4 - 19*y**2 - 15*y**2 wrt y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**5\/20 - n**4\/3 - 5*n**3\/6 - 15*n**2\/2 + 5*n. Let q be m(6). Calculate the highest common divisor of q and 270.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {s: 4, d: 4, g: 3, j: 7}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 54 - 57\/2*t + 3\/4*t**2 = 0.\nAnswer: 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -3*u - 25*u - 408 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -5*y**6\/2 + 11*y**5 - 45*y**4\/4 - 35*y**3\/3 + 30*y**2 - 20*y + 23. Solve g(r) = 0 for r.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7572, 5898, 3124, -750, -5724?\nAnswer: -11798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/4 + 5*j**3\/3 - 7*j**2\/2 - 2*j + 2. Let v be w(-6). Suppose -s - v*s = -25. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*k**3 + 17*k**2 - 18617*k wrt k?\nAnswer: -102*k + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + -9 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(sqrt(112) + -1 + sqrt(112) + -5 + 1 + sqrt(112)*-1 + sqrt(112)))**2.\nAnswer: -1280*sqrt(7) + 7571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*j - 1294965*j**2 + 1294966*j**2 - 28*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*h**4 + 182*h**3 + 786*h**2 + 714*h + 98.\nAnswer: 2*(h + 1)*(h + 7)**2*(6*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**2 + 6*f + 6. Let p(x) = -4*x**2 - 94*x + 6*x**2 - 5 + 89*x + 5*x**2. Determine -5*g(q) - 6*p(q).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1210*d - 27803. Give y(-23).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/15)\/((-3)\/(-15)))\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (6\/9 - (-438)\/288)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-2)*(-1880)\/(-2256)*30\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/21*((-594)\/450)\/((27\/15)\/(-9)).\nAnswer: -88\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 + -1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4002, 5422, 7068, 9054, 11494?\n\"Answer: 19*i**3 - i**2 + 1290*i + 2694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11464438513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(66)\/sqrt(27))\/(sqrt(14)\/sqrt(28)))**2.\nAnswer: 4*sqrt(11) + 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 307 = 3*s, -154*x = -s - 159*x - 81. Suppose 3*c + 204 = c. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = 5*l, 3*l = -3*v + 8 + 1. Suppose 6 = -2*d - 2*g, 3*d + g = -d + l. Solve 2\/3*b + 1\/3 - 1\/3*b**4 + 0*b**d - 2\/3*b**3 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let b(t) = t - 6. Let x be b(6). Let v(h) be the first derivative of -4 + h**2 + x*h**2 + 1. Determine s(v(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244634 divided by -1698?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 - 11*w**3\/6 - 3*w**2\/2 - 2*w - 926. Let t = 69 - 81. Determine m(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -2\/3, -0.04, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1646, 1, -3, 620?\nAnswer: 620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54359443?\nAnswer: 54359443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - -1.14. Let s be 18*(1 - 10\/(-100)*-5). What is the nearest to r in s, -2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 221, 2, -2, -4 in descending order.\nAnswer: 221, 10, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 + 2 = 0. Suppose p = w*p - 84. Suppose q + 9*q = 70. Calculate the highest common factor of q and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 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: Simplify b**(7\/2)*(b\/(b\/(b\/b**(-4\/7))))\/b*b**14*b**(3\/5)\/b assuming b is positive.\nAnswer: b**(1237\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2508*y**3 + 2550*y**3 - 5067*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1240 + -1240.05963. Round m to 3 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 - 2*r**2 + r + 7*r**2 - 3*r. Let v be h(-1). What is the second derivative of 17*x - v*x + 325*x**5 - 321*x**5 wrt x?\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*f*l*q**2 + 2*f*l*v - 2*f*q*v**2 - 2*f*v - 7*l*q**2*v**2 + 66*q**2 wrt l?\nAnswer: 8*f*q**2 + 2*f*v - 7*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.31636 days to hours.\nAnswer: 1495.59264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1823 - 1820. Solve 16\/11*y + 2\/11*y**d - 8\/11 - 10\/11*y**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.395405 decades to years.\nAnswer: 33.95405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*f**4 - 4 + f - f**3 + f**2 + f**3 - 219*f**4 to p*f**2 + s*f**4 + x*f**3 + d + b*f and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 34*r + 74. Let z be k(-36). Does 6 divide 167 + (36\/(-6))\/(-3) + z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -153 + 51.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1520 - -1544. Calculate the greatest common divisor of 984 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 18*v + 902. Let t be f(-48). Calculate the highest common divisor of t and 1007.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*m - 2*m. Let f be 19090\/8*m\/(-20). Let a = -238 - f. What is the common denominator of a and 89\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 + 0)*(24 - 24 + 11*r) - 91 + 2*r + 178 + 0*r.\nAnswer: 68*r + 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 78 = -2*w. Let n(t) = -4*t + 55. Let l be n(w). Solve 24 - l = -s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 1 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20589.5411 - 0.\nAnswer: -20589.5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 5*u**2 - 8*u - 4. Let b be j(-6). Let a = b + -4. What is the greatest common divisor of a and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44282.68 nanometers in kilometers?\nAnswer: 0.00000004428268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/10*(-10)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-29 + 34)) + (-4 - -7) + -7 + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 303*m + 1531. Determine o(156).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 17*i**2 - 6*i - 11. Let s(y) = 11*y**2 - 4*y - 7. Determine 5*a(t) - 8*s(t).\nAnswer: -3*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2 + 3)) + -2 + 1 + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7434966 and 142443?\nAnswer: 2793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (7 - 10)) + -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14121 + 14113 = v, 3*a = -5*v - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*(-3)\/(-30)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45211*q**2 - 2*q**3 + 340*q + 45211*q**2.\nAnswer: -2*q**3 + 340*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 61? (a) 3 (b) -0.076 (c) -2 (d) 0.2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 equal to -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n*n*n**(-1\/4)*n*n)))**(6\/23)\/(n\/n**(-5)*n*n\/(n\/(n\/n**5)))*((n*n**1)**(-1\/5))**44 assuming n is positive.\nAnswer: n**(-4573\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 3)*(4 - 6 + 1)*(21 - 103 - 72)*(p + p - 5*p) as a*p + s and give a.\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 0 + 8 - (64 + -73)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 2428*m\/5 + 7302\/5.\nAnswer: -2*(m - 3)*(m + 1217)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 4*v - 4*v)*(4*v - v**2 + 3*v**2 + 0*v**2).\nAnswer: 4*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85\/3 + -80\/3. What is the third biggest value in 0.1, -4, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**3*q**2 + 164*n**3 + 129*n*q**4 - q with respect to q.\nAnswer: 2*n**3*q + 516*n*q**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082845 + 3.3?\nAnswer: 3.217155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24999 + -2418?\nAnswer: -27417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.8 + 0.5. Let p = 16 - w. What is the third biggest value in -5, -0.07, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 2. Let j(q) = 3*q - 4. Let f = -57 - -54. Give f*j(k) - 5*l(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/20 - 2*n**2 - 9*n. Let x(o) = -36*o**2. Calculate x(g(m)).\nAnswer: -324*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 2036*g - 1632.\nAnswer: (g + 408)*(5*g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-40)\/(-180)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -30) + -8 + 62 + -50?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.149, -5, 2\/3, 0.1, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/8 + (-3)\/(-6). Let j = f + 2. Calculate the remainder when 53 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36385 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -46, 151, 460?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-281159)\/60 + (-38)\/(-95) + -3. Let v be (-124)\/(-6)*(-453)\/(-2). Let p = j + v. Find the common denominator of 93\/50 and p.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 - 4*n - 15. Let h be m(-8). Let o be h\/2*96\/40. Suppose 0 = 3*j - 603 - o. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.3 (b) 0.3 (c) -6 (d) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28\/1909 or 5271?\nAnswer: 5271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i + 0*i - 3*i)*(-20 + 15 + 23)*(-4*i + 2*i + 3*i)*(-41 + 44 - 16) in the form g*i + f + n*i**2 and give n.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssmw when four letters picked without replacement from sswmmmmwwsm.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from uxuuxuuxix?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let f = -17.9819 + 5.9819. Sort c, -0.3, f in descending order.\nAnswer: c, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17) + sqrt(68)\/(-3*sqrt(4)))**2 - sqrt(68)\/(sqrt(24)\/(sqrt(6)*-3)).\nAnswer: 95\/9 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1793599429 - 0.18\nAnswer: -1793599429.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.377, 5, -2, 0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:41 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q**3 - 16*q + 4*q**3 + 13*q + 24*q**2 - 33*q = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:24 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhv when three letters picked without replacement from ffjnnvnnvfnanhfv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let z be p(3). Suppose -z = q - 6. Suppose 1\/2 - 19\/4*t**q + 7\/4*t - 5\/4*t**2 + 15\/4*t**4 = 0. What is t?\nAnswer: -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253868 is divided by 363.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 155726985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 43074 - 43074 + 5568*x in the form r + m*x and give m.\nAnswer: 5568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.811 + 0.531. Let z = j + 12.6. Round z to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 1334*q**2 - 94926*q - 1791738.\nAnswer: -2*(q + 39)**2*(q + 589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3609, -27772, -93371, -221124, -431749?\n\"Answer: -3453*u**3 + 8*u - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(363) + -1)**2.\nAnswer: -66*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**6\/1260 + p**5\/21 - 25*p**4\/21 - 40*p**3\/3 - 2*p - 37. Let t(s) be the second derivative of u(s). Factor t(w).\nAnswer: -2*(w - 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 10*l**2 + 29*l + 9. Let j be u(-4). Let r(t) = t**2 + 10*t + 7. Determine r(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290539 is divided by 182?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 105.9777.\nAnswer: 529.8885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -65. Suppose w*i - 504 = 158. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 18*m**2 - 16*m - 8. Let c be y(17). Sort c, 0, -5 in ascending order.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -1.56706.\nAnswer: -6.56706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 15334\/9 and 1703 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -32276?\nAnswer: -32286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/((6\/64)\/((-29)\/116))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let y = 1.73 + -2.13. What is the closest to 0 in 3\/8, y, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -153?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -38. Calculate the least common multiple of 16 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((-274)\/(-959))*5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 1 + 5. Let r = k + -3\/4. Let j = -8 + 5. Sort j, 4\/3, r in ascending order.\nAnswer: j, r, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Suppose -5*a + 15 = 0, -2*h - 3*a = -5*h - 12. Is h at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + r + 4)*(524 + r**3 - 3489539*r + 3489539*r).\nAnswer: r**4 + 524*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*x**2 - x**2 - 4*x**2 + 2 wrt x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12522*(2\/(-7))\/((-24)\/42). Suppose -3*y = 3*c - 7812, 4*y = -2*c + b - 1063. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 297947*r**2. Let a(j) = 428*j**2. Give a(g(s)).\nAnswer: 37994593538252*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:20 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -6*o**5\/5 - 226*o**4\/5 + 7994*o**3\/5 - 22566*o**2\/5 + 22084*o\/5 - 1456 = 0.\nAnswer: -182\/3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*x**3 - g**3*x + 18*g**2 - 3*g*x**3 - 2*g + 15 wrt g?\nAnswer: -12*g*x**3 - 6*g*x + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-2 - -47) + -50\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (72\/(-10))\/((-12584)\/(-520)). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 0*p**3 + 929 - 929 + 0*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1 - 13*k - 3*k**2 + 3 - 3*k**2 + 12*k**2 - 5*k**2. Let g be p(13). Solve -g*n - 5*a + 6 = 1, -5*n = -4*a + 37 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.017 and 880619.\nAnswer: -14970.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 36 = 5*h. Let j be 30 + 5 + -1*h. Let q = j + 6. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*z = 0, -27 = -3*h + 14*z - 9*z. Solve -2*m = -6 + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6054687 (base 10) in base 8?\nAnswer: -27061437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -350.7 and 0.4.\nAnswer: -350.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/(-60) - 54\/(-60)*16\/(-144)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-2 - -5) + -5 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 119, 2, 4 in descending order.\nAnswer: 119, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 174*u**2 + 7*u - 7. Let h(t) = 116*t**2 + 5*t - 5. Let q = -18022 - -18027. What is q*v(z) - 7*h(z)?\nAnswer: 58*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -275, -265, -249, -227, -199?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**3 + 4*x**3 + x**3 - 3*x**3 + x**3 + 3*x**3 + 2*x**3 - 4*x**3 + x**3 + (-3*x - x**2 + 3*x)*(2*x + 2 - 2) - 1 - 3*x**3 + 1.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158 a factor of 5154738276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 3*q - 4612656. Suppose -3*g - q = -44676. Let u = 730504 - g. What is u rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*z = 11 - 3, 11 = d + 5*z. Let i be (6\/12)\/(d\/(-2)). Let a be (-3)\/i*32\/(-12). Let t(q) = 9*q - 8. Let b(r) = -6*r + 5. What is a*b(n) - 5*t(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 + 8*j**2 - 6*j**2)*(12*j + 10*j - 8*j)*(-2 - 3 + 6) to the form m*j**3 + t*j**2 + c + b*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 5*d + 5*g, 5*d - 224 = 4*g + 92. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 25*q + 238. What is the remainder when 415 is divided by f(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let o be 20\/(-50) - j\/(-45). Which is the biggest value? (a) o (b) -0.6 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407964441 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*o = 38*o - 18348848. Let h = o - 858368. What is h rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/2623 and -47\/2752?\nAnswer: 167872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*c**2\/7 - 9500*c\/7 + 2376\/7.\nAnswer: -4*(c + 594)*(4*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 140a - 683?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {j: 4, t: 1, b: 5, e: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 8*w - 7. Let y be u(-6). Suppose -15 = 3*a, -5 + 27 = 3*i - y*a. Suppose -3*b - 9 = -0. Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -638827, -639672, -640517, -641362, -642207?\n\"Answer: -845*u - 637982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24530392?\nAnswer: 2, 107, 28657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(-467*h**5 - 296*h**5 + 12 - 12).\nAnswer: 2289*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*n - n. Suppose 0 = -n*f + 136 - 6. Is (1 + 1)\/(f\/6227) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5382\/672 - (-585)\/(-65520).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/((-8)\/(-1))*252\/(-726)\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 36 = -y. Suppose 5*z + 3*o - 2*o + 60 = 0, 0 = 3*z + 3*o + y. What are the prime factors of z\/(-8)*528\/18?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -19b187?\nAnswer: -19b183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*u + 424*u - 5*d - 25 = 0, -7 = 3*u + 5*d for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 582562?\nAnswer: 47770084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, -1, 26, 22 in descending order.\nAnswer: 26, 22, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.72084um to meters.\nAnswer: 0.00001072084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -1680, 12, -1\/4, 1 in descending order.\nAnswer: 12, 1, -1\/4, -2\/5, -1680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 57838*l - 404867. Determine a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -51 - 46 - 54 + 150 + 22*m. Let n(c) = -2*c. Give v(n(h)).\nAnswer: -44*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*((-38304)\/(-190))\/(-56)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 8*m**2 - 2*m + 19. Let q be g(8). Solve w + q = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 19*v - 8*v + 5.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/15 + 2281414*v**2\/5 + 4562826*v\/5 + 6844238\/15.\nAnswer: 2*(v + 1)**2*(v + 3422119)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 5132 (c) 15 (d) -5 (e) -3 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 - 169. Calculate the smallest common multiple of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (242 - 229) + 0 + -2 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*k - 113, 29 - 105 = -2*k - 2*f. Let u = k - 36. Put u, 0, 4 in descending order.\nAnswer: 4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 156*f - 162*f = 43, -3*q = f - 35 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642012.\nAnswer: 2, 3, 7, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368155 + 688256. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -78*r - 2808. Let s be o(-36). Solve s = -27*a + 51*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26941*b - 1446856 = 26902*b + 574085. Is 69 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 23*j**2 - 11*j - 974. Let g be b(25). Let p(x) be the first derivative of 2*x**3 + x**2 - x - 1. Determine p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116455 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-72 + 67 - (-1 - 11)) + (-8 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.045 from -388377.\nAnswer: -388376.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + -3 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uun when three letters picked without replacement from {l: 1, c: 1, r: 2, u: 6, n: 10}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:34 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -532 + -30?\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-17)\/l)**(3\/4))**(-35) assuming l is positive.\nAnswer: l**(945\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*y + 3 = -4, 0 = 2*y + 8. Let c(q) = q**2 + q + 1. Let w be c(z). Let b(o) = 10*o. Let n be b(w). Solve -j = k - n, -3*j + 2*k = -k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**29*b)\/b)\/(b\/b**(10\/9)))\/(b**9*b**(2\/19)) assuming b is positive.\nAnswer: b**(3592\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (1 + -2 - 2) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 10*c**3 - 122*c**2 + 110*c.\nAnswer: 2*c*(c - 5)*(c - 1)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 23*t - 29*t. Suppose -t*h = -5*c + 1 + 21, 2*c = -h. Let r = 12 + h. What is the remainder when 31 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 11566616618.\nAnswer: 11566616623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34653?\nAnswer: 3, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 67.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1004001143 - 22?\nAnswer: -1004001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 1. Suppose -n - n = 0. Let r(y) = -6 - 5 + 12 + n - y. Let z(l) = 1. Calculate x*r(o) + 3*z(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ppppppuuuuups.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10683 and 361504411?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542566?\nAnswer: 2, 67, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5148806648 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*l**3 + l**2*u**2 - 2*l**2*u + 199*l - u**2 wrt l.\nAnswer: -186*l + 2*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38052659?\nAnswer: 101, 376759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12*y = 10*y - 20, 0 = -4*g - 2*y + 20. Solve -g*t = 2*s + 12, 4*s = -3*t + 7*s - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 35 = y. Suppose -12 = -y*v + 4*v. Let o(k) = 2*k - 3*k - v*k + 3*k. Let r(p) = -2*p**2. Give o(r(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2 + 3) - 0. Let r = 11 + v. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-1) - 2 - 0. Suppose 0 = i + 1 + n. Let v be (-9)\/i*(-32)\/(-6). Calculate the greatest common divisor of 16 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, -1, 5, 3 in increasing order.\nAnswer: -2, -1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/4)\/(2\/(-4)). Let y be 2 + -2 + (-2)\/2. Let o be 1\/(1\/(-1))*y. Calculate the highest common divisor of o and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 3*y - 68 = 0, 2*y - y = 5*w - 23*y - 154 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u - 3*h - 1854 = -52*u, u + 5*h = 606. Is u > 615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-48))\/(3\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 k when four letters picked without replacement from {z: 2, o: 3, k: 5, m: 3}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - (-14)\/(-4). List the prime factors of 105\/(i\/(-1)) - 2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v + 87. Let d be c(17). Let w be ((-3)\/1 - -3) + d. Which is smaller: 21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133220, 266411, 399614, 532835, 666080, 799355?\nAnswer: 932666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 0 = -7. Let r = j - 0. Let h be r*3\/(-12)*4. Is h at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 15*p - 72. Suppose 6*d + 17 = 5*x + 8*d, 3*x - 35 = 5*d. Let k be o(x). Let g be (10\/(-3) + 2)*-18. Calculate the greatest common factor of g and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 29 = 3*b, 5*g + 0 + 1 = -b. Let u = b - -58. What is the remainder when u is divided by (12\/(-5))\/(3\/(-20))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(5\/(-20)))\/(19*-2).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/1829 (b) 79 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1013243*h**3 - 515235 wrt h?\nAnswer: 3039729*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -29*h**2. Let v(t) be the first derivative of 15 + 0*t**2 + 0*t - 1\/3*t**3. What is v(g(k))?\nAnswer: -841*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2 + 218855\/(-142450).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4\/4 - 3183*h**3\/4 + 86967*h**2\/2 - 698328*h + 2796768 = 0.\nAnswer: -3237, 6, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 76*d**2 - 19*d - 612. Let q be p(-76). What is the greatest common divisor of q and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/27)\/((-1)\/(-345)). Let v = d - -89. Let h be 1*(6\/(-54) + v\/9). Put h, -12, -2 in ascending order.\nAnswer: -12, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1089.9431 + 1090. Let f = -0.6904 + c. Let q = f - -0.65. What is q rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -879*f**2 + 87*f + 111. Let g(s) = -251*s**2 + 25*s + 32. Let l(x) = -18*g(x) + 5*y(x). Calculate the remainder when l(-2) is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -107, 3, -2 in descending order.\nAnswer: 3, -2, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 6 - 3)*(3*d - 5*d + 0*d) - d + 0*d - d)*(-1 + 1 + 3)*(3 - 11 - 6) to the form j + n*d and give n.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let m(l) = -3*l + 1. Let f(c) = m(c) - 2*o(c). Let t = 0 + 1. Let g(b) = -7*b + 7. Calculate t*g(y) - 6*f(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 14*r - 47. Let j(g) = 28*g - 98. What is 3*j(i) - 5*s(i)?\nAnswer: 14*i - 59","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 42\/(-4)*(-12)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897.7104 kilograms to tonnes.\nAnswer: 0.8977104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1293849 divided by -9\nAnswer: -143761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 times 3.1595?\nAnswer: 0.347545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) 0.1 (c) 4 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 - 47*d + 29. Let y be l(21). Suppose -4*b - 320 = 3*c, -3*b - b = -c - 128. Let f = y - c. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -242, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*-3*(sqrt(88) + sqrt(88) + (sqrt(88) - -2*sqrt(88)))*-1)\/(6*(sqrt(512) + sqrt(512) + 4*(sqrt(512) + (sqrt(512) - 2*sqrt(512))))).\nAnswer: 45*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.4729km in micrometers?\nAnswer: 317472900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*u + 114*u - 117 = 99*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1741*w + 302*w + 4053*w + 1026*w = 341856 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -43. Suppose k - 18 = -c*k. What is the derivative of -23*p**2 - k*p**3 + 10 + 23*p**2 wrt p?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 5. Let u(s) = s - 3. Let p = -4 - -4. Suppose -3*a = -o - a + 3, -5*o - 4*a - 41 = p. Determine o*u(b) - 3*m(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3113 - -3104.055. What is o rounded to one dp?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 37. Does 11 divide ((-20)\/(-50))\/(v\/(-165))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43164689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -417e + -1?\nAnswer: -4180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*i - 8, 26 = -5*i + 1. Let c(j) be the third derivative of 0 + 0*j - 1\/90*j**5 - 1\/36*j**4 + 2\/9*j**3 - j**g. Solve c(y) = 0 for y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 33*y**2 - 26*y - 191. Determine s(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:14 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19964\/18 - 110\/990 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(-1 + 1 + sqrt(171) + (-2 + sqrt(171))*6)*1)**2.\nAnswer: -12600*sqrt(19) + 213079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnxnnvnsxvnsnsx. What is prob of sequence vv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 k when three letters picked without replacement from gkgng.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5540692 by -2.\nAnswer: -2770346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 575745, 2303090, 5182009, 9212502, 14394569, 20728210?\n\"Answer: 575787*v**2 - 16*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**4 - 51*p**3 + 38*p**2 wrt p.\nAnswer: 48*p - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -440 divided by -220\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let r be (4 - -2)*v\/(-8). Let l = 2 - 6. What is the nearest to 2 in l, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1769)\/(-11) - (-10 - -7). Let l = r + -164. Let n = 0.3 - 0.6. Which is the third smallest value? (a) n (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - 5196 + 21*a**3 + 18*a**3 + 6*a + 5196.\nAnswer: 39*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 44*i + 3. Let s(z) = -133*z - 9. Let b(d) = 8*p(d) + 3*s(d). Let r be b(-2). Let x = r - 41. Is 25 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 7, t: 1, m: 10}. Give prob of picking 1 p and 2 h.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/3)\/f)*f*f*f**(9\/7)*f)\/(f*((f*f**(-4\/7)*f*f*f)\/f)\/f)**(-16\/3) assuming f is positive.\nAnswer: f**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4683.70975 minus -10?\nAnswer: 4693.70975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1057 (b) -2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -8.2. Let m = -6 + 5.6. Let s = 0.5 + m. Which is the second biggest value? (a) s (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21783.6 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 15, -152, -28, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 158 = -5*n. Suppose -5*r + n = -2*r. Calculate the remainder when 27 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/120 - p**5\/10 + p**4\/8 + p**3 - p**2. Let g be i(5). List the prime factors of (-1 + 2)\/(g\/(-72)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252052 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838 = -4*m - 854 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.4339 rounded to the nearest integer?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286176183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -3*r**4\/4 + 102*r**3 + 621*r**2\/2 + 312*r + 434. Factor y(h).\nAnswer: -3*(h - 104)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10*g + 6. Let d(o) = 11*o - 8. Let c(x) = -3*d(x) - 4*r(x). Let y(z) = -7*z**2. Determine c(y(b)).\nAnswer: -49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, -2*z + 4*l = -l. Suppose 4*v + 2*d - 24 = -z*d, v + 5*d = 15. Suppose 4 = -o - 3*o. Which is the closest to v? (a) 3\/4 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82993.59023 - -82994. Round h to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/10)\/((-7)\/2). Let u = 1.6 + -5.6. Which is the smallest value? (a) u (b) -0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*m**5 + 15*m + 313 - 313 wrt m?\nAnswer: -300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195666209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -1. Let j be y*-1 + 4 + 113. What is the highest common divisor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 75, -2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -2 (c) -0.2 (d) -2\/21 (e) -149873\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2856 - -3271. What is the remainder when w is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/2 - 30*z**4 - 475*z**3 - 640*z**2 + 5655*z\/2 - 1682 = 0.\nAnswer: -29, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 5 (c) 17 (d) -4 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 + 8*r**2 + 3. Let c(y) = 3*y**3 + 7*y**2 + 2. Let m(x) = -3*c(x) + 2*h(x). What is the third derivative of m(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29390 - -1146137\/39. Let d = -1837\/42 - -26\/21. Calculate the common denominator of d and u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58428 in 12, 0.5, -1, -4\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10844 is divided by 103?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**9\/432 - q**8\/840 - 8*q**3\/3 - 1. Let a(t) be the third derivative of u(t). Factor a(b).\nAnswer: -b**4*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10600 and -10599 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*((-18)\/4 - -4). Solve 0 = 4*g - k + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 344*n - 186*n - n**2 + 426*n as m*n + a*n**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Let u(r) = 90*r**2 + 9*r + 3. Give w(u(p)).\nAnswer: 90*p**2 + 9*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 582129271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 + 12*v**2 - 4*v - 12. Calculate f(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/4 - 5*f**3\/3 - 3*f**2\/2 + 4*f - 3. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 12:01 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -0.1, -4, -3, 0.354, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-2)\/10 - ((-144)\/80 - -1). Let b(n) = n + 5. Let z be b(0). Let p be 2\/z + (-6)\/(-10). Put p, -3, f in descending order.\nAnswer: p, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 14. Let o = -28 + 37. Let y be k(o). Suppose y*n + 4*s = 220 + 80, 0 = -2*n - 4*s + 150. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 2. Suppose -2*j + 15 = 5*i - 5, -5*i + j = -5. Put 3, s, i in increasing order.\nAnswer: s, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5 + 20*s**4 - 135*s**3 - 170*s**2 + 280*s = 0.\nAnswer: -7, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.06 - 6. Let z = 15777\/52 + 1025\/13. Let g = 382 - z. What is the nearest to 1\/3 in q, 3\/4, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -476 and 2408.\nAnswer: -1146208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Find the third derivative of -8*t**a + 5*t**6 + 4*t**4 - 14*t**2 + 4*t**4 wrt t.\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + v - 61, -326*p + 5*v - 17 = -324*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k**3 + 67*k**3 - 27*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1731.075 nanograms in micrograms?\nAnswer: 1.731075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*d + 1 + (-3*d + 0*d + 2*d)*(-2 - 1 + 5) - 3*d + 0*d + 2*d)*(4 - 24 - 4)*(-3 + 4 + 9) to the form l*d + c and give l.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + 2 + -2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s**2. Let q be (-1)\/((-1)\/(-3 + 14)). Suppose -q = v - 39. Let f(o) = -25*o + 52*o - v*o. What is w(f(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663554341.\nAnswer: 3, 7, 269, 471509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -13. Let r(j) = -26*j**3 + 20*j - 1 - n*j - 25*j**3. What is the units digit of r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u - 60 = -20*u. Sort u, 3, -4, 5 in descending order.\nAnswer: 5, 3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -v + 1, 8*v - 12*v = -j + 1. Which is the second biggest value? (a) 228 (b) j (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 5*s - 15, -2 = 2*p - 5*s - 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 3*b**2 + 3*b**2 + (518*b - 23*b**2 - 518*b)*(1 - 5 + 3).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 0*i = 6, p + 14*i + 297 + 19 = 112*i - 269 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1.2, -65, 17.926, 4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:12 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5174.322 to the nearest ten.\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 330*y**3 - 657*y**3 + 341*y**3.\nAnswer: 14*y**3 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 212*i + 9 - 4*i - 23 + 23.\nAnswer: 208*i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 40. Find the common denominator of (-15)\/(-6)*v\/(-20) and -41\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54*-2*6\/20*(-445)\/534?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 187936\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 10504.\nAnswer: 10504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64706.\nAnswer: 2, 32353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1209 - -1210. What is the highest common divisor of 218 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 59?\nAnswer: 129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41462933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/4 + i**3 - i**2 - 5*i - 284. Determine r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88434.0000106846 - -88434. What is h rounded to seven dps?\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152 and 374592?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888379?\nAnswer: 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mys when three letters picked without replacement from {s: 2, y: 3, p: 4, m: 3, j: 4}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/70 - 449\/210. Let f = 64\/9 - 238\/9. Let a = 19 + f. What is the common denominator of a and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000115446476 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**5\/60 + 5*p**4\/24 + 8*p**3\/3 + 6*p**2. Let u be h(7). Suppose -u*d - 18 = -42. Solve -3*k + d = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*0.00007.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26511104*l*x**3 - 12165287*x**3 wrt l.\nAnswer: -26511104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -20 and 124.2.\nAnswer: 104.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 10*g + 5*g**2 - 6*g**2 + 2*g**2 - 40. Is r(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/538 (b) 0.4 (c) 1 (d) -7\/6 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 112?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Let j = -3054 + 51945\/17. Let v = -165\/136 + j. Put u, -1, v in descending order.\nAnswer: v, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 32\/5 of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -632804*l**2. Let i(r) = -14*r**2. Determine i(c(g)).\nAnswer: -5606172633824*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222187269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316283, -632578, -948871, -1265162, -1581451, -1897738, -2214023?\nAnswer: -2530306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/310 and -73\/60.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -2*o + 3\/2*o**2 - 3 + 2\/3*o**3 - 5\/4*o**4. Let i(w) = 14*w**3 - 5*w**2 - 8*w + 5. Give -8*g(p) - 3*i(p).\nAnswer: -2*p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v - 3*k + 1194 = 0, -k = -4*v - 1595. Let p be 3\/(-12) + v\/(-12). Is p less than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(5 + 446\/(-4)). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 830 and 2490?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47 - 38?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 263? (a) 4 (b) 3\/4 (c) -7 (d) 38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303691272*b - 303691272*b + 375*b**2.\nAnswer: 375*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) -0.2 (c) 4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370411 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -225*q + 7322. Determine m(28).\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -12*l - 54 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j - 13*j - 18*j + 58*j - 11*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + l - 7 = 4, 2*g = -5*l - 14. Solve -7 = -2*z - g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 378*u**2. Let g(a) = -9*a + a + 11*a - 3*a - 8*a**2. Give z(g(v)).\nAnswer: 24192*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/6*-2*(-1 + -7). Suppose -4*d + d - 27 = 0. Is r >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 14 - (1 + -9)) + -4 + -18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 3360.\nAnswer: 5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -114522666985 less than -1934?\nAnswer: 114522665051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2. Let u(j) = -355*j**2 + 4. Give p(u(w)).\nAnswer: -126025*w**4 + 2840*w**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261 is divided by 494?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -929 times -24?\nAnswer: 22296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 21*q - 1104 = 0. Let m be q\/(-36) - 2\/(-3). Sort 0, m, 0.4, -4 in decreasing order.\nAnswer: 0.4, 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 44*f**3. Let d be g(1). What is the highest common divisor of 44 and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -21*b**2 + 8*b**2 + 11*b**2 + 2*b - 2*b. Let p(c) = 2*c**2 + 47*c. Calculate p(i(v)).\nAnswer: 8*v**4 - 94*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 236053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 98?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914397462.\nAnswer: 2, 3, 11, 17, 271657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 76246.68 millennia?\nAnswer: 762466.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5\/5 - 4542*u**4\/5 + 5152893*u**3\/5 + 2067520*u**2 - 15485952*u\/5 = 0.\nAnswer: -3, 0, 1, 2272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4536 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -253300181.\nAnswer: 3\/253300181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(8\/5)\/u)\/u**(12\/13))\/(u*u**(-11)*u*u*u)**33 assuming u is positive.\nAnswer: u**(14994\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 70 - 70)*(-4 - 2*k + 4).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 9314?\nAnswer: 9311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1624171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -263 + 305. What is the smallest common multiple of n and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - (-2)\/(-4). Let k = 2 - p. Does 5 divide (-2)\/k*24\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/r**(-3))*r))\/r*r**(-1))\/(r\/r**(-1\/5)*r)**(-50) assuming r is positive.\nAnswer: r**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 102*w**2 - 133*w + 59. Calculate l(36).\nAnswer: 3047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-4*(sqrt(187) + (2*sqrt(187) - sqrt(187))))\/(-2*sqrt(11)*5) + (sqrt(153)*-1*-2)\/((sqrt(99)*-1 - sqrt(99))\/sqrt(11)))*-5*-2)**2.\nAnswer: -4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 1 + 11*j - 9*j - 3 - 4*j as s*j + q + a*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*4*(sqrt(114) - (sqrt(114) - (2*sqrt(114) + sqrt(114))))*4)\/((sqrt(120)\/(sqrt(2)*-1))\/(2*sqrt(640))) + -1)**2.\nAnswer: 6144*sqrt(19) + 179306497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9061 - 9066. Let l(u) = -u**3 + u**2 + u. Let w(h) = 6*h**3 - 3*h**2 - 6*h - 9. Determine j*l(a) - w(a).\nAnswer: -a**3 - 2*a**2 + a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. Which is the nearest to y? (a) -0.3 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 428\/18 - (-10)\/45. Suppose -4*c + h = -72. Suppose 0 = 3*a - 0*a - c. Calculate the highest common factor of 20 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 2, n: 2, z: 4, u: 1, t: 3}. Give prob of sequence nnd.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -2, 8, 13, 5 in decreasing order.\nAnswer: 13, 11, 8, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 + c**4 - 5*c**4 + (2*c**3 - 7*c**3 + 3*c**3)*(-c + 2*c + c) - 4*c**4 + 0*c**4 + 2*c**4 + (c**2 - c**2 - c**2)*(14*c**2 + 3*c**2 - 27*c**2).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/9 (c) 3.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -67. Let o(a) = a**2 + 12*a + 14. Suppose -46 = 5*v + g - 0, v + 4*g + 13 = 0. Let c be o(v). Is q smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 + 3de8?\nAnswer: 3da7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 24\/19, -4, -2\/5?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -95283\nAnswer: 2\/95283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*w = -c + 3, w + 5 = -2*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**3\/6 - a**2 - 101*a. Let q(k) = k**2 - 3*k + 3. Let s be q(3). What is d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 + 122 + 12 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence katk when four letters picked without replacement from ttkkaaaattt?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -944 + 174. Let f = j - -1350. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 0, -p + 2*p - 3*x = 218. List the prime factors of p.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -327, -670, -1005, -1332, -1651, -1962?\n\"Answer: 4*s**2 - 355*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 502 + 1548. Let l = u + -121. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcwwwwwcccczwcccwwc. What is prob of sequence ccz?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247159 + -2708846\/11. Suppose 24*d + 12628 = 38*d. Let z = d - j. Calculate the common denominator of -34\/3 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 7 = -28. Suppose b*l - 5*h + 150 = 0, 0 = -4*l + h - 122 + 17. Which is smaller: l or -23?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.06 - 4. Suppose 3*i = -2*o + 2, -185 = -5*i - 2*o - 183. Which is the smallest value? (a) 3 (b) -0.5 (c) i (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23766?\nAnswer: 2, 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggjjgggg. Give prob of picking 4 g.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) - (-14)\/(-4). Let u = 6 + o. Let r = u - 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -26*v - 3024. Let b = -247 - v. Solve 0 = -3*u + b*y - y + 4, y - 4 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16726, 16615, 16430, 16171?\nAnswer: 15838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*(y\/y**(-1\/2)*y)\/y*y\/(y*y**5))**20 assuming y is positive.\nAnswer: y**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Suppose -4*d + 15 = -p*m + 57, 3*m = 3. Let x(n) = n**3 + 9*n**2 - 10*n + 10. Let i be x(d). Solve i = -3*g + g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((0\/10)\/(-13))\/2. Let h(p) be the second derivative of 0*p**2 - 1\/6*p**3 + c + 2*p. Let o(q) = 6*q**2. Give o(h(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1982966319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 - 6*k**2 + 6*k - 1. List the prime factors of z(-5).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbfbbfbxuuubub. Give prob of sequence ub.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116986?\nAnswer: 2, 29, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 7380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + 0. Suppose -23*o + i*o - 9 = 0. Let p(h) = 72*h**2 - 5*h + 2. Is p(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1430*q + 712*q + 32 - 32 + 717*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7a (base 14) to base 15.\nAnswer: -a0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1285979 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.63 and -2521.\nAnswer: -2517.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4))**(-24))**(-1\/9)*k**(-5)\/k*k**1*(k*k*k**(-3)*k)\/(k**(2\/9)\/k) assuming k is positive.\nAnswer: k**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 285 = 210. Solve 4*g = -l - 10, -6*l = -2*l - h*g - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(-26)*-1*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 310027141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39102653767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6813? (a) 12 (b) 4 (c) 1 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 35*i**2 + i**3 + 3*i**2 - 15*i**2.\nAnswer: i**3 - 46*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2. Let s(i) = -135072*i**2. Let h(b) = -41*b**2. Let l(f) = 13132*h(f) - 4*s(f). Give l(u(o)).\nAnswer: 7504*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1764 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -591, -953, -1659, -2823?\nAnswer: -4559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/5270 and 103\/584290?\nAnswer: 18112990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11250590.\nAnswer: 2, 5, 13, 37, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1 + 0 + 21*p - 5 + 17*p. Let w be f(6). What is the greatest common factor of 37 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -58*t**2. Let q(c) = -24*c + 43*c - 13*c + 12 - 12. Give q(i(j)).\nAnswer: -348*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11010326333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1557001 (base 8) to base 2.\nAnswer: 1101101111000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/11))**(1\/29))**(-50)*((o\/(o**1\/o*o))**(-6))**(-5\/2) assuming o is positive.\nAnswer: o**(-650\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/270*15\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -32.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 23 - 7 = 0. Let k(n) = n + c - 8. Let p(j) = -2*j. Calculate p(k(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)\/(r\/r**(-7\/2)) assuming r is positive.\nAnswer: r**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nfhnnfffffffnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-4)\/(-12))*-1. Let s(g) = -7*g - 1. Let u be s(h). Let z = 36 + u. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)\/h*h**3*h)**(-42) assuming h is positive.\nAnswer: h**(-1554\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:37 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**2 - 991*n - 15418. Calculate v(-18).\nAnswer: 476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + 27. Suppose 2*q + 2*j + 2*j = 80, -s = -2*q - j. Let z = 39 - q. What is the highest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/275 + 4 + 740\/(-125))*6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 618 = 933. Suppose 0 = -2*d - 3*w + 81, -d + 45 = -0*d + 3*w. What is the remainder when c is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316.735 rounded to the nearest integer?\nAnswer: -1317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1425)*1)\/(sqrt(3) + sqrt(432)*1) + -5*(2 + sqrt(1539))**2 + -4.\nAnswer: -7719 - 2335*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -203 or -2247\/11?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p - 8229. Let b(g) = -8*g - 4115. Give -9*b(y) + 5*l(y).\nAnswer: 2*y - 4110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 46*s - 42*s = -41, 5*s = 2*t - 46. Which is the fourth smallest value? (a) -2 (b) -0.054 (c) t (d) -0.05 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/9, 0.2, 5, 0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 109.\nAnswer: -54.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.12, -18\/7, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:24 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:52 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1 - (-29 - -23)\/(10\/5). Which is the third biggest value? (a) v (b) -3 (c) -6 (d) -0.86 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 2*u**3 - 195*u + 363*u + 111 - 178*u - u**4 in the form c*u**3 + h*u + g*u**2 + d*u**4 + y and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22684063 - -142\nAnswer: -22683921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33118325 less than -0.68?\nAnswer: 33118324.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12237 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13))**(-2\/197)\/((h*h*h**(1\/67))\/(h*h**(-21)*h*h)))**(-24\/7) assuming h is positive.\nAnswer: h**(82416792\/1201109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -170464, 16 in decreasing order.\nAnswer: 16, 4, -170464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -4, 12565, 13\/5, -0.3.\nAnswer: -4, -3\/8, -0.3, 13\/5, 12565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1186805 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*n**3 - 66*n**3 - 355*n**3)*(6*n + 2*n - 3*n) + 2*n + 2*n**4 - 2*n.\nAnswer: -2713*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**3 + 427*u**2 - 650*u wrt u.\nAnswer: 6*u + 854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 24*k + 2*k + 7*k to the form m + u*k and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - ((-98)\/28)\/(1\/166). What is the greatest common divisor of 46 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-3)\/3 - 0. Suppose -8 = -3*w + 2*j, -s*w + 5*j + 15 = 2*w. Solve 4*v = 6 + w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*x + 15, -3*u - 5 = u + x. Let f = 29 - 27. Suppose 4*s - 8 = -0. Solve -j - 2*k - 10 = u, -j + s*k + f = -0*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*c**2 - 197*c**2 + 48*c**2 + 50*c**2 - 7*c**3 - 8*c - 23*c**4 + 44*c**2 to z + d*c**2 + x*c + i*c**3 + o*c**4 and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y. What is the units digit of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 398\/3 in 0.2, -0.4, 10, -1, -46\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)*k**3)\/(k**(-11)\/k**(-3\/10)) assuming k is positive.\nAnswer: k**(533\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (0 + 4)) + 17 + 0 + -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/30 - 5*s**2. Let q(p) = -16*p**2. Give q(i(y)).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173148 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 11, f: 5}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 - 1 = 7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -911.78 rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2911.947 grams?\nAnswer: 0.002911947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2612*10.\nAnswer: 26120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314133?\nAnswer: 3, 104711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 347401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 14*v**2 - v + 13. Suppose -837*c - 196 = -851*c. What is a(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 22. Calculate the greatest common divisor of z and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 15. Let r(f) = f + 2. Let p be r(2). What is the highest common divisor of m and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 20 - 18 + 12*y - 9*y. Suppose -4*b + 12 = -h, 0 = b + 3*h - 3. Let u = -289 - -291. Let d(i) = -3*i - 3. Determine b*x(q) + u*d(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-44)*n\/((n**11*n)\/n)*n)\/(n**(1\/14)\/(n\/n**(-29)*n)))**(-15) assuming n is positive.\nAnswer: n**(4635\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46449 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 40 = -4*t, 0 = -2*t + 3*j + 10 - 4. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*d - 0*d - 2*d. Solve -d = -2*h + 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203263 divided by -20\nAnswer: 203263\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a milligram in micrograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*c**3 - 2*c**4 - 2*c - 3*c**3 + 36 - 75 + 41 to s*c**4 + z*c + g*c**3 + f*c**2 + w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5355, -397, -9991, -23433, -40729, -61885, -86907, -115801?\nAnswer: -148573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*k**5 - 49*k**4 + k**3 - 4*k**2 + 6521*k + 3 wrt k.\nAnswer: -3960*k**2 - 1176*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*o + 0)*(o**2 + 4*o - 4*o) + (-1 - 2*o**3 + 1)*(-2 - 2 + 2) + 5*o**3 - 6*o**3 - 5*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -983\/8 less than 13.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify p**16*p**(-20)\/p*p*p\/(p**(1\/38)\/p)*p**16\/p assuming p is positive.\nAnswer: p**(493\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24504342 to the nearest integer?\nAnswer: 4950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219 or -433?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 11974423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 189030.4 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 0.74, 3\/7, 2 in descending order.\nAnswer: 2, 0.74, 3\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-144)\/42)\/(3\/21). What is the units digit of (d\/5)\/(18\/(-2520))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + -80 + -7 + (14 - (-2 - 0))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 209, -413, -1451, -2905, -4775, -7061, -9763?\n\"Answer: -208*n**2 + 2*n + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**2\/4 + 3*a\/4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.7 - -0.3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5853 take away -85367.226?\nAnswer: 79514.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16071 + 16165 + 16167 - 48403 + 409*v**3.\nAnswer: 409*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*f**2 + 23*f**4 + 12*f**4 + 3*f**4 + 7*f + 13*f**2 in the form y*f**4 + r + o*f + g*f**3 + z*f**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9184822 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143448 by -5977.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 28 (b) -2\/5 (c) 0 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.28703, -3, -1, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5544983294, -5544983295, -5544983296, -5544983297, -5544983298, -5544983299?\n\"Answer: -b - 5544983293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2954061 and 21?\nAnswer: 20678427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 10. Let o(t) = t**2 + 14*t + 3. Let p be o(-13). Calculate the least common multiple of w and (p - -4)*(-3)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -312, -334, -356, -372, -376, -362, -324?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-20)*(-1086)\/(-1267)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 13*r**6\/30 - 43*r**4\/12 + 1277*r**2 - 1955*r. Differentiate i(w) with respect to w.\nAnswer: 52*w**3 - 86*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -9.8. Let u = y - 5.4. Round u to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316482186191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3453 + 1a9c?\nAnswer: -18a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*m + 45*m - 87*m.\nAnswer: -119*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-575)\/(-1320) - (-20)\/(-330)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2412 and 6231?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/2*-1 - 40338\/3486.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23)\/(897\/(-26)) + 20\/6. Put -16, b, 5 in decreasing order.\nAnswer: 5, b, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-5)*(-88)\/33*2001\/1104\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/(-6) + (-8)\/12. Let w = y + 8. What is the third derivative of -c + c**2 + c - w*c**5 + 0*c wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -31*q - 19*q + 31*q. Let d(y) = y. Determine d(p(n)).\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/2733306?\nAnswer: 1\/2733306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80256 by -836.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*s - 3, -40 = -3*s - 2*s + 5*j. Let l(m) = m**2 + 2*m - 1. Let a(b) = 5*b**2 + 11*b - 5. Let y(p) = 2*a(p) - 11*l(p). Determine y(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8639+1\nAnswer: 1.8639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 9. Let m = 27 - c. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**9\/42 - 7*t**5\/30 + 9*t**2. Find the third derivative of b(i) wrt i.\nAnswer: 1440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47601.\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 26324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 335999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f + 2*f)*(-32 + 3*f + 32) + 2*f**2 + f**2 + f**2 + (-4*f - 4*f + 2*f)*(-1 + 2*f + 1).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48770 is divided by 323.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from {e: 1, z: 3, h: 1, g: 3, l: 7, i: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 856, 3355, 9208, 20095, 37696, 63691?\nAnswer: 99760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*g**4*w + f*g**3*w**3 - 441*f*g*w**3 + 3*f*w**3 + f*w**2 + 20070*g**4 - 4*g**2*w**2 + 8*w wrt g.\nAnswer: 48*f*g*w + 6*f*w**3 + 481680*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j + 25. Let u be w(-5). Put -7, u, 1 in decreasing order.\nAnswer: 1, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8)\/n)**(-1\/13)\/(n**(-3))**(-19\/2) assuming n is positive.\nAnswer: n**(-2959\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -4, 46.\nAnswer: -4, -1, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10734983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5246152 (base 7) in base 2?\nAnswer: 10011010101100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 267743685 and 11820.\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04423191 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 5 - 10 - 2*a**2)*(8*a**2 - a**2 - 6*a**2) in the form k*a**4 + j*a**3 + g*a + y*a**2 + s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o - 129*o + 48*o - 947 = -221 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2477, -9802, -21973, -38990, -60853?\nAnswer: -87562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6352 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88879230?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 810 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -143*d - 696. Is u(-12) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49491 divided by -39?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, e: 6}. Give prob of sequence eq.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8\/9)*r**10 assuming r is positive.\nAnswer: r**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98.85 - -0.15. Let d = -99.2 + u. What is the closest to 6 in -0.5, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3336*n = 3410*n - 1553334. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 81\/45 + -1 + (-64)\/(-20). Solve -2*j - g = 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249662 is divided by 35666.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9913259.\nAnswer: 263, 37693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Let f = 14 - 9. Suppose o = f*v - 0*v. Solve 0 = -i + 3*a + 11, v*a + 12 = 2*i - a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/21*630\/90?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/12)\/(-8*2\/32)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -0.4, 0.57, 4, 2\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-5))\/(13282\/(-1660) - -8)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1842169 is divided by 340?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174817 and 15.\nAnswer: 2622255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33590?\nAnswer: 2, 5, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:38 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16086371 - -18.167\nAnswer: -16086352.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81559 divided by 16.\nAnswer: 81559\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1007 - -18049\/18. Calculate the common denominator of 55\/276 and m.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 3703\nAnswer: -22218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7003000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 divided by -9?\nAnswer: -1033\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 116\/8 + (-245)\/98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = 65. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55555*k**2 - 69918*k.\nAnswer: 111110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782802087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 + 4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.85 + 1. Let i = r - 0.55. Suppose -5*x + 0 = 2*u - 19, 0 = -x + u + 8. Sort i, 0, x in increasing order.\nAnswer: i, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1638873\/40 + 40969. Is 1\/2 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1735617 and 1006188.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - n + 1. Let s(a) = 35*a**4 + 275*a**3 + 580*a**2 + 115*a + 25. Let v(x) = -25*g(x) + s(x). Factor v(c).\nAnswer: 5*c*(c + 2)*(c + 7)*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 6 - 4 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -654 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27304 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 9. Suppose 0*x + 2*x = -o*z + 22, -5*x - 2*z + 61 = 0. What is the remainder when 24 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/12 (b) 0.17 (c) 6 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70511243 (base 8) to base 5.\nAnswer: -12300124200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 33*g**2 - 58*g + 7. Calculate v(18).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728 divided by -4545.\nAnswer: 728\/4545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = 0, 2*y - y + 17 = 4*g. Solve -8*p = -g*p - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 71 = -j + 89, -7*j = -2*a + 34 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111034*v**6 + 88*v**2 + 20*v + 3.\nAnswer: -13324080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*k - 1228*k + 626*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 2239*z**2\/2 + 6348*z - 643. What is the derivative of h(t) wrt t?\nAnswer: 2239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*b**3*q**3 + 11*b**3*q**2 + 2*b*q**3*u**2 + 4*b*q**2*u**2 + 26*b*q**2*u wrt q.\nAnswer: 444*b**3 + 12*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -18. Solve 2*c + p - 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -0*q - 3*q. Let p be (-5)\/(q\/(-3))*-2. Solve 2*n = -5*f - 6, -5*f + n + p = -0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Suppose -12 = 2*s - 38. Let m(o) = 14*o**2 + 6*o. Let g(z) = -28*z**2 - 13*z. Let y(f) = s*m(f) + 6*g(f). Calculate y(u(v)).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + 3. Let s = -40 - -35. Let c(d) = -d**2 + 5*d + 5. Determine s*j(n) + 3*c(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7293310, 14586566, 21879822, 29173078, 36466334, 43759590?\nAnswer: 51052846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, j: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 25 = 24*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1818 - 2*y**2 + 1818 - 9*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = -2. Suppose -3*t - 10 = -4*x + 2, 0 = 5*t + 20. Let r be 28\/21 + h + x. Which is greater: -2\/17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23529848 + -0.05657?\nAnswer: 23529847.94343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 - -345. Sort 0.5, y, 16.\nAnswer: 0.5, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llallllallalaalaall?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 57 = 5*a, 89*a = -2*g + 86*a + 33 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*n = -75*n + 10575. Suppose -1698 = -4*p + 2*i, -57*p + 62*p + 5*i - n = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888090711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-15 - 14 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*n + 37 = 0, 2*j + 0*j + 44 = -4*n. Is j\/(-2) + 2\/1 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -12. Let s(d) = 2*d**2 + 3*d + 1. Let a be s(r). Suppose -2*b = -2, a = 3*o - 7*o - b. Sort o, 1, -1.\nAnswer: o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 122. Let a = x + -76. Suppose 1409996 = -h + 4*c, -5*h + a*h = c + 7050001. What is h rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-250 - -268) + (-1 - 3 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3084 - -13.3181.\nAnswer: 3097.3181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/21*3780\/84?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50680612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (28\/12)\/(1\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2 - 702138*n + 11234720 = 0?\nAnswer: -351085, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43636, 44206, 45182, 46558, 48328, 50486?\nAnswer: 53026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 7432653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, d: 1, c: 2, k: 3, b: 6}. What is prob of sequence coc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1681878 and 340.\nAnswer: 16818780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, -18, -73, -138, -207, -274, -333?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 14531883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6715393 by 94583.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26643244011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9*j - 38*j + 3478 = 30*j for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 323 + -148. What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u + 1. Let k(b) = b. Let n(f) = 4*k(f) + v(f). Let g be n(2). Sort 6, g, 4 in increasing order.\nAnswer: g, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*s = -286*s + 231*s + 3066 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*m*r*u**3*w + 2*m*r*u**2*w + 2*m*u**3 - 661*m*u*w + 122*r*u**3 + 3*r*u*w - u**2*w + 10*u**2 wrt u?\nAnswer: 216*m*r*w + 12*m + 732*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 3*j + 8*y + 17, 4*j = y - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2205*0.09\nAnswer: 198.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g - 1. Let r be 2 - 4 - (-1)\/(3\/15). Let o(i) = 3*i**2 + 5*i. Let w(v) = r*o(v) + 15*f(v). Differentiate w(y) with respect to y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 1 - p**3 + 5 + 1 - 4 + 4*p**2. Let h be m(4). Let f = 14 + h. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/60 + p**4\/24 + 2*p**2. Let z be o(-1). What is the smallest value in 1, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c)*(5*c - c - 2*c) + (-2*c + 7*c - 4*c)*(63*c + 65*c - 155*c) + (1 + c - 1)*(3*c + 0*c - 5*c).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 302190 divided by -105\nAnswer: -2878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -42d (base 16) in base 9?\nAnswer: -1417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from ujuujiujyjujiijujjj?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68 - (-97 + -63)) + -105?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105426 (base 7) to base 13.\nAnswer: -86b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -3*c - 5*u - 7992, -3*u = 2*c + 5311. Let l = c + 3851. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 - 0.1. Sort -0.4, -5\/6, t in decreasing order.\nAnswer: t, -0.4, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w - 108 = -4 + 120 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 91 + 31 + 30 - 2*u**2 - 109*u as c*u + r + g*u**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 4*c + 21*c)*(2 - 1 + 1).\nAnswer: 46*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 149 = -4*x - 16, -x = 2*m - 36. Suppose 4*r + 0*o - x = 2*o, 4 = -4*o. Round r to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 28\/9 of a hour?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42279822 divided by 50154?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*k - 1741 - 291 = 396*k. Let b(i) = 10*i + 63. What is b(k)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/7 + (-528)\/(-56). Let i = 12 - m. Is (i - -3)*13\/3 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, -2\/3, -2\/19 in ascending order.\nAnswer: -9, -4, -2\/3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/((-21)\/9). Suppose 3*a + 21 = -5*f + 14, -5*a - 5*f - 5 = 0. Let c = -2.2 - -2. What is the nearest to 1\/4 in m, a, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y = 62*w + 193, 59 = 4*y - 7*w + 34 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/217 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 + 4*q + 6. Let y be j(-3). Let c(u) = 8*u + 3*u**2 - 5*u**2 - 2 + y*u**2. Calculate c(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.92801 millilitres in litres?\nAnswer: 0.03092801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i + 12 = 0. What is the remainder when 27 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*u**2 - 54*u**2 - 23*u**2 - 26*u**2 - 235*u**2.\nAnswer: -629*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r + 89*r + 3*x + 12 = 0, -2*x = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 3*o**2 - o - 1. Let r be a(-3). Suppose r*w + 18 = 18. Let t = 4 - w. Solve j + 15 = t*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9285 and 8697.\nAnswer: 26917215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxe when three letters picked without replacement from veevnemeemxoonmx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8638 is divided by 776.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 194*q**2 - 1438*q + 21. Give w(104).\nAnswer: 1893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*q + 42, -2 = 4*q + 14. Suppose 0 = 5*f - y*f + 25. Which is the nearest to 2? (a) 3\/7 (b) f (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2 + 8 - 7 + n**3 + 14*n**2 - 7. What is the tens digit of b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.5 - -28.499998588. Round p to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0777 less than or equal to 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1717, 1697, 1677, 1657, 1637, 1617?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72731, 72710, 72687, 72662?\n\"Answer: -t**2 - 18*t + 72750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/10)\/((-18)\/60). Suppose -3*r = -o + f - 14, 50 = 5*r + 5*o. Solve 6*d**5 - 2*d**r - 2*d**5 + 2*d**3 + 4*d**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 0.02870738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/16 + (-2)\/((-4)\/6).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 6746*h**2 - 20264*h + 27008.\nAnswer: 2*(h - 3376)*(h - 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/100 and -67\/30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttatttatttt. What is prob of sequence tt?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49610 or -49520?\nAnswer: -49520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 778616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(11)*-1))**2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 43 - 2 - 13 = -3*s, -2*s = -5*r - 6*s - 34 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)\/z*z\/z**(2\/17)*z**(3\/20)*z*z\/z**(5\/6))**(3\/28) assuming z is positive.\nAnswer: z**(407\/9520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310292929?\nAnswer: 4999, 62071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 3 = 4*k. Suppose 11*i - 25 = k*i. What is the third derivative of -8*d**5 - d**5 + 7*d**i - d**2 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 24*o + 32 as l*o + z and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -457, -1037, -1859, -2929, -4253, -5837, -7687?\nAnswer: -9809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -90, -234, -424, -654?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**5 - 863*r**4 + 19*r**3 - 935353*r**2.\nAnswer: -240*r**2 - 20712*r + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 61421.91 micrograms?\nAnswer: 0.00000006142191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82\/235 - -12\/235. Let b(m) = -3*m + 2*m + m**2 - 1 - m**3 + 2*m. Let y be b(0). Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v - 3*v**2 + 0 + 5\/6*v**3. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/2)\/v**(1\/6))**(-2\/11))**32 assuming v is positive.\nAnswer: v**(-256\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 357 + -254. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64.317 * 5.\nAnswer: 321.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (4 + (6 - (9 - 2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -36. Suppose z = -13*k + 73 + 330. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 543 + -542. Solve 2*y - r = 6*y - 5, -n = -r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 - 5*j + 6*j - 3*j + j**2 - 2*j**2 + 0*j**2 + (-13*j + 5*j - 4*j)*(j - 2*j + 3*j) as h*j + l + s*j**2 and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0848 times 0.5\nAnswer: -0.0424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70856 + 23136 - 115 = 1434*u + 82659 for u.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*q**4 - 6*q**3 - 30*q**2 - 1 wrt q?\nAnswer: -288*q - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 1. Let u be a(4). Let g be ((-4)\/(-12))\/(1\/15). Suppose -g = -2*v + u*v. Is v equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v - 1. Let r(n) = -1. What is -q(o) + 2*r(o)?\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Let i be m(-25). Let w(k) = k**3 + 2*k**2 + 2*k. Let y be w(0). Solve -2*x + i - 26 = y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12851 = 43*b - 15873. What is the third derivative of b*z - 624*z + 4*z**2 - 129*z**4 - 5*z**2 wrt z?\nAnswer: -3096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567*l = 128*l + 15916823. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2)\/((-7)\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53718, 107447, 161176?\n\"Answer: 53729*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:34 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -73. Let r be (-6)\/a*(176\/6)\/(-1). What is the greatest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 29*o**2 - 4*o - 73. Let z be a(-12). Suppose q = 2*m + 493, -2*q = 37*m - 38*m - z. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 5*o + 6*o)*(-39 + 39 + 6*o**4) + 48*o**5 - 82*o**5 - 66*o**5.\nAnswer: -112*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2)*44\/(-33). Find the second derivative of -19*r**2 + 35*r**t - 52*r + 0*r wrt r.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovvvnqvovoqqvovqno. Give prob of picking 1 q, 1 v, and 1 n.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {e: 1, b: 1, p: 1, c: 1, v: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*a = 318*a - 135 - 45. What is the highest common factor of 645 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56085963331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwggq. Give prob of sequence wg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 3. Let k(m) be the third derivative of -m**5\/60 + 5*m**4\/3 + 35*m**3\/6 + 42*m**2. Let c be k(41). Determine v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - (-21675)\/340)*(-7)\/(-2).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -116, -273, -496, -785, -1140?\n\"Answer: -33*o**2 + 8*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bus when three letters picked without replacement from buhuosoubhoo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 54911624.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30114 and 51624?\nAnswer: 361368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxt when three letters picked without replacement from {u: 1, v: 4, x: 2, z: 1, t: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -117160 (base 8) in base 11?\nAnswer: -28523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(51\/(-6) + 3 + 1). Let g be 12\/j*(-3)\/(-4). Let k be 4\/(-12)*(g - 25)\/4. Solve 3*y = k*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783573?\nAnswer: 3, 7, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5445) - (1 + sqrt(5445))) + -5 + 1 - (1*(-2 + sqrt(5445)) + 4))*-3 + -1)**2.\nAnswer: 3960*sqrt(5) + 49405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (104\/(-20) - -1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - b + 6)*(-34*b**3 + 19*b**3 - 6*b**3) + (-2*b**3 - 4*b + 4*b)*(-6 + 3 + b + 4).\nAnswer: 19*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 + 4*x. Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(0 + 1 + 0 + (-5 + 2 + 4)*(0 - 1 - 1) + 3 + 0 - 1 + 0 + 3 - 5)*(-2*p + 3*p + 4*p) + p + 2*p + 8*p.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 + 71046*m + 1261883529 = 0. What is m?\nAnswer: -35523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 7:19 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -23*m**2 - 3202*m - 35449. Let o(u) = 8*u**2 + 1067*u + 11808. Let z(l) = 3*c(l) + 8*o(l). What is the first derivative of z(a) wrt a?\nAnswer: -10*a - 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 3, -8, 5, 2, 128 in increasing order.\nAnswer: -8, 2, 3, 5, 16, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.2, -1, -102, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 9. Suppose -646 = -2*h - 2*w, h + 3*w = -b*h + 1288. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, s: 3, a: 1}. Give prob of picking 1 a and 2 s.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from zzazzzzazaz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*v + 76*v - 39*v + (-v + v + 2*v)*(-3 - 1 - 1).\nAnswer: 75*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3*h - 3 - 11 + 20.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -34.8117?\nAnswer: 32.8117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 6 + 3. Let l(o) = -o - 1. Let u be l(c). Suppose 0 = -5*q - 2*k + 434, -q + 3*k + 103 = -u*k. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5762913955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (54\/270)\/((-9)\/(-2283885)) a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1006 + 1008. What is the biggest value in -186, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 685081753 divided by -1974299\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*h - 1 + 1029*h + 0 + 10 - 516*h.\nAnswer: -4*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 313271.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4*(-39)\/(-26))\/(-16). Let c = -1.5 + 2. Put u, -0.3, c in ascending order.\nAnswer: -0.3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(550) + (sqrt(550) - 2*sqrt(550)))\/(sqrt(288) + sqrt(2)) - (-2 + sqrt(396)*-2 - sqrt(396) - (-1 + sqrt(396)*2))**2*-5.\nAnswer: 300*sqrt(11) + 49505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221.727 + -221.727. Let a = 16\/15 - 53\/45. What is the third smallest value in a, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:20 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -14*s**3\/3 + 3*s**2\/2 - 2*s + 22. Let i(a) = 5*a**2 - a + 1. Determine -3*g(v) - 8*i(v).\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*i*i)**(-19) assuming i is positive.\nAnswer: i**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 42340010?\nAnswer: -42337770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50.999997854 - -51. What is l rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o - 4. Let d(h) be the third derivative of h**5\/30 - 25*h**2 + 2. What is w(d(k))?\nAnswer: -22*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90389 is divided by 328.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -151799299015 + 2.\nAnswer: -151799299013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215998 at least as big as 1215961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -1\/3*x**3 + 13*x**2 + 0 + 1\/12*x**4 + 0*x. Let f(y) = 3*y - 3. Calculate -7*b(c) + 5*f(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 + 9075*v**4 + 5761095*v**3 + 847695405*v**2 + 3321939120*v + 3299040084 = 0. Calculate v.\nAnswer: -277, -2, 3583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1037.8 + -1026.782. Let i = -11 + f. Round i to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3662191506 to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 87421488 and 88.\nAnswer: 87421488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 (base 14) in base 9?\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*v**3 - 170*j**2*v**2 + 50*v**3 wrt v.\nAnswer: 12*j**2 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 428454?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 525284304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 7. Let u be w(6). Let z be u*(2 + 1)*1. Suppose 0 = 3*d + 6, 0 = 2*s + z*s - 3*d - 21. Solve 0*b = -4*f + 2*b - 16, b = f + s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/480 + 17*n**3\/6 - 9*n**2. Let s(y) be the first derivative of g(y). Find h such that s(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -569*c = -604*c + 175. Put -2, c, -3, 2176 in descending order.\nAnswer: 2176, c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 - 430*f**2 - 4275*f.\nAnswer: 5*f*(f - 95)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -420)\/34 + -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by 6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 15 = -3*k, -2*k - 324 + 322 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(1\/3*-2). Suppose -12*k - c = -14*k. Solve -5 = -k*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 100*g**2 + 504*g - 3. Give r(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + (19 - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 88. Let n be (h\/3 + 0)*(-27)\/(-126). What is y in n*y**2 + 0 + 2\/7*y = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**0)\/z)**49\/(z**0)**(-34))**13 assuming z is positive.\nAnswer: z**637","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**4\/4 + 3*i**3 + 5*i**2\/2 - 21*i - 3807. Determine z(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2923 = -g + 13093. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 21*h**2 - 14*h - 28. Let l be s(-11). Solve l*c - 12 = 9*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3\/7 - 39*q**2\/7 + 38*q\/7 = 0?\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06591 plus -11.8?\nAnswer: -11.73409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 16 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-120) + 9\/54. Is -223\/3 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y**2 - 39*y + 43. Let f(d) = -321*d**2 - 624*d + 687. Let x(s) = 2*f(s) - 33*p(s). Solve x(j) = 0.\nAnswer: -3, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b + 8. Let a(r) = r**3 + 10*r**2 - 4*r + 10. Is a(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/3, -2\/17, -2, 170, -6484?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 1\/3, 3, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 + 71. What is the tens digit of (-2912)\/8*(y + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19274275211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -18) + -26 + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100100001010 (base 2) in base 14?\nAnswer: 9b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.8 + 14. Let n = m - -3. Let f = 1.5 - n. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51683949, -51683953, -51683957, -51683961, -51683965, -51683969?\nAnswer: -51683973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9086?\nAnswer: 2, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 + 274. Solve -93*d - z = -78*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1253*m. Let z = -25 + 26. Is l(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - -7.86. Let m = u + -12. Let j = m - -4.3. What is the nearest to -0.2 in 1\/9, j, 2\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2040233447460 - 2*i + 6*i + 2040233447460.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 2249291.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/12082125 and 179\/166650.\nAnswer: 24164250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-429*g + 207*g + 38*g)*(-5*g + 0*g + 3*g).\nAnswer: 368*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 2\/21, -2, -3, 5\/183, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 26. Suppose u = -2*a - 2*a + 28. Calculate the remainder when 19 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r + 9*r + 15*r + 13*r. Let c(w) = -w**2. Calculate c(h(f)).\nAnswer: -784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5*((-8736)\/80)\/(-13))\/((-40)\/(-5 - 0))\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnin when four letters picked without replacement from {p: 1, i: 1, c: 2, g: 4, n: 2}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 2. Let i be (-4)\/7 - (414\/(-63) + 4). Let k(m) = 8. Determine i*k(j) - 8*o(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/127548 and 79\/148806.\nAnswer: 892836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 33*b + 1710. Determine q(-59).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/120 - i**4\/24 + i**3\/6 + i**2 + i + 7. Let d(p) = -3*p**3 - p**2 - p + 4. Give d(r) - 5*o(r).\nAnswer: 2*r**3 - r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.10762? (a) -0.07 (b) -0.48 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3283 in -0.4, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1951432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 17, -389 in decreasing order.\nAnswer: 17, -4, -11, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -580*d - 50. Let b be x(-1). Let i be (320\/3)\/((-1)\/3). Let o = i + b. Round o to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 w when three letters picked without replacement from {i: 4, w: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1128, 4441, 9932, 17595, 27424, 39413, 53556, 69847?\nAnswer: 88280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - d**3 - d - 1 - d + d**4 + 3 in the form o*d**3 + k*d + x + v*d**2 + u*d**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 218602 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = -12. Let s(l) be the first derivative of 7*l**2\/2 + 6*l - 230. Let y(n) = -n - 1. Determine i*y(u) - s(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1155150 divided by -510\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 4*f + 3. Let t be c(-1). Suppose -4*z - 40 = t*j - 15, -5*j - 25 = 2*z. Is 32\/(-3)*((-6)\/4 + z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 - 8435*m + 620204. Give g(1328).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 5*k - 10 = -5*w, 2*k - 4*w - 22 = 0. Suppose s + 18 = 4*h, 3*h - 19 + k = s. Sort 0.2, s, -9.\nAnswer: -9, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 841434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 18, -5, -60, -159, -314, -537?\n\"Answer: -2*w**3 + 2*w**2 + 5*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.176679t to micrograms.\nAnswer: 2176679000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211 (base 3) to base 5.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*b - 3 - 2, -b - d = -3. Suppose -b*y + 2 = -0*y. Let x(s) be the second derivative of s**4\/3 + 97*s. Let j(g) = -g**2. Determine y*x(p) + 5*j(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840 and 1608?\nAnswer: 56280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -150621?\nAnswer: -5\/150621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/12 - 5*a**3\/2 - 21*a**2\/2 + 9*a + 4. Let k(b) be the first derivative of z(b). Let g be k(-14). Is -7 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + 0 + 5 + sqrt(700) + sqrt(700))**2.\nAnswer: 400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 203 = -31*a - 400 - 131, d + a + 50 = 0 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10b1 + 163a6?\nAnswer: 152c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -420*v**2. Let z(n) = 583*n. Determine p(z(h)).\nAnswer: -142753380*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(245) - (0 + sqrt(245))*6)**2).\nAnswer: 24508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*y - 15, 5*b = 3*y + b - 21. Put -5, y, -2, -4 in descending order.\nAnswer: y, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 179482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2. Let a(l) = -7*l**2 - 3*l + 154. Let t(g) = 9*g**2 + 4*g - 153. Let v(h) = 4*a(h) + 3*t(h). Determine v(o(d)).\nAnswer: -49*d**4 + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18990690 to the power of 1\/2, to the nearest integer?\nAnswer: 4358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8391*z - 8441*z = 100 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/(-12)*(-3)\/26?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 + 9 + 17*m**2 - 17*m**2 - 2*m**3.\nAnswer: -2*m**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.1, -899?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/2, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82755443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = -0. Let y = -5 + 8. Suppose -3*m = -2*m - y. Solve n*k - 13 = 3*k - m*u, 4*k + u + 13 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 11. Let x(b) = -19*b + 91. Let u be x(4). Let f(p) = u*p + 16*p + 5 - 28*p. What is f(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 76. Calculate the remainder when 23 is divided by a\/((-2)\/6) - -3 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -490016 to the nearest 1000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 59?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1398?\nAnswer: 2796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118072 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -752 + 753. Which is the closest to y? (a) -4\/3 (b) 4 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10e (base 16) to base 2\nAnswer: 100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 182\/3033 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 76963832 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1 + 0) + 103. Let p be (-3808)\/(-49) - 2\/(-7). Let x be 80\/(-120)*p\/(-4). Calculate the greatest common factor of x and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6659.\nAnswer: 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f5c4 - -1?\nAnswer: 1f5c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031522?\nAnswer: 2, 515761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 70 = 7*z. Suppose 4 = 4*t + 4*h, 3*t - 7*t + 31 = -5*h. What is the remainder when (106\/t)\/((-4)\/(-8)) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 9*s**4 - 3*s**4 + 8 - 5 wrt s?\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - l**2 - 18 - 119.\nAnswer: -6*l**2 - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**2 + 3*l**2 - l**2.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2115 and 684621.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1338*j - 1335*j + 30 = 3*p, 87*p - 1040 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11000110110100011111001 (base 2) to base 16\nAnswer: -6368f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11454 plus 1.6275546785?\nAnswer: 11455.6275546785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70024245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/15 + 23414*i\/15 - 149440\/3 = 0.\nAnswer: 32, 11675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-4))\/(24*215\/1548).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 2 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79\/990 + 2\/99. Let w(f) = f**2 + 7*f. Let q be w(-7). Which is bigger: k or q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -11*k + 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 4, u: 1, p: 5, i: 5, r: 3}. Give prob of sequence ixra.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 3*z - 9, 0 = -3*z. Suppose y*r - 4*f = 149, r - 240 = -3*r - 5*f. Calculate the remainder when r is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, v: 15, w: 2}. Give prob of picking 2 p and 2 w.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**2 - 55*s - 19. What is b(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65259301.713799773 - 65259929.7138. Let b = k + 628. Round b to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 8. Let l be n(-6). Let r(q) = q**3 + 6*q**2 - 6*q + 6. Let u be r(-7). Sort l, u, 3 in descending order.\nAnswer: 3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 2*u**3\/3 + 54*u. Let s(h) = 4*h**2 - h**2 - 4*h**2 - 5*h**2. Calculate s(x(z)).\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1023 - -96225\/94. Calculate the common denominator of t and 5 + -108*(-2)\/(-64).\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(637))**2 + -3 - (sqrt(1300) + -3 + sqrt(1300) - ((1 + sqrt(1573))**2 + sqrt(1573) + sqrt(13))).\nAnswer: 14*sqrt(13) + 2207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283803 - 283801. Factor -16\/5*b**s - 1\/5*b**3 - 69\/5*b - 18.\nAnswer: -(b + 3)**2*(b + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-15))\/(1\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-9)\/2*(-64)\/1056.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5425, -10849, -16271, -21691?\nAnswer: -27109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 270 + 180512?\nAnswer: 180782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.21 - -0.77795690665\nAnswer: 2.98795690665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s - 3*s**2 - 7*s + (2 - s - 2)*(2*s - s + s) + 22*s**2 + 119*s**2 + 112*s**2.\nAnswer: 248*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11094267 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1.1, 1.3, 0 in decreasing order.\nAnswer: 1.3, 1.1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.025 and 4.\nAnswer: 3.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3475\/18, -37, -2\/9?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q**2 - 192 + 195 + 40*q + 22*q.\nAnswer: 53*q**2 + 62*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -10*p + 34, 0 = p + 4*y - 2 - 26. What is the nearest to 142\/13 in 2, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(9324\/740)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -2*q + 30. Solve -7*t = q - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -40. Let n = 36 - z. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803555127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 704936316 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -6*q**3 - 4589*q. Let x(g) = 22*g**2. Calculate c(x(l)).\nAnswer: -792*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64634879*t**3 + 2*t**2 + 111622461 with respect to t.\nAnswer: 193904637*t**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1227 divide 750070784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (31 - (25 - 29)) - -119?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 3\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 88553.99 decades?\nAnswer: 885.5399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -1967, -6627, -15699, -30653, -52959?\nAnswer: -84087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -3*j + 251. Let w = 17 + j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000011001 (base 2) to base 4.\nAnswer: -2100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*u + 192153 - 68172 = 0, -2*u - 74389 = -3*z. Let q be z\/8 + (1 - 1). Let b = q - 3109. What is the common denominator of -95\/16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqoofqqoyqyffqyy. Give prob of picking 1 y and 2 q.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25425 + 11030*b - 27312*b + 25425.\nAnswer: -16282*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.53 + 0.09. Let y = c + 0.38. Put 4, 1, y, -0.3 in descending order.\nAnswer: 4, y, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -51*b + 123. Determine r(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 4216584*h - 63247860.\nAnswer: -4*(h + 15)*(h + 1054131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1735 divided by 8?\nAnswer: -1735\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.654 + -35. Let h = x + -0.62. Round h to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 6*y + y + 17*y - y + 19*y + 0*y - 2.\nAnswer: 30*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 34*y + 1623. What is t(-35)?\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8003 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4779 (base 11) to base 12\nAnswer: -3755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-72) - 3801\/(-27). Calculate the highest common factor of 47 and t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312128754137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, 986, 4.\nAnswer: -20, -5, 4, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32252.\nAnswer: 2, 11, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -0.013 (c) 18 (d) 1\/4 (e) 1\/7 (f) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - n - 7 = 0, -l = 3*n - 5*n - 4. Solve 0 = l*b + 3*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101110000111 + 101000101111?\nAnswer: 1101010110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 81, 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5 = -2*u, -5*u + 18 = 32*k - 34*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (320796\/98 - 12) + (-3)\/7. Is (60\/36)\/(1\/q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*d - 240 = 279, 2*d = -g + 177. Is (3 - 0)*-1 + g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 279723a8?\nAnswer: 27972404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1056624 or 3?\nAnswer: -1056624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**5 - 63*h**4 - 348*h**3 - 816*h**2 - 864*h - 336.\nAnswer: -3*(h + 1)*(h + 2)**3*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32 (b) -2\/3 (c) -3 (d) -0.8 (e) -298\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h + 200. Suppose 0 = -3*f + 5*f - h. Suppose -f = -5*q + 20. Solve 5*a = -4*w - 1 - q, -31 = -3*a + 5*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/12)\/((-128)\/2976).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 154, 159, 164, 169, 174?\n\"Answer: 5*w + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26978738 times -4\nAnswer: -107914952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1260 and -1262 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*x - 90. Let v(a) = a**3 + 8*a**2 - 6*a + 17. Let y be v(x). Let s be (-2)\/y + (78\/(-10))\/(-1). Which is smaller: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*g - 5*z, 3*g = -z + 6*z + 10. Suppose -6*y + 2*y - 104 = g. Let w = 31 + y. Solve 4*k - 3 = w*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/(4 - (-4 - (-65)\/10)). Which is the closest to 1? (a) 5\/11 (b) -0.5 (c) 1\/5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -186, -337, -478, -603, -706, -781, -822?\n\"Answer: t**3 - t**2 - 155*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = 3*t - 4*d - 10, -5*t + 4*d + 42 - 21 - 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 31. Let j(g) = g**3 - 10*g**2 + 10*g - 10. Let f be j(p). Let x(q) = 12*q**2. Let y(s) = 49*s**2. Let u(b) = -21*x(b) + 5*y(b). Calculate u(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/8*8\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-15)*3650\/(-584)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/68 - 166\/(-34). Solve 4*z + 9 + 3 = y*t, 0 = -5*t - z + 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 bigger than 1314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 246333 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.259444464 - -5.\nAnswer: 46.259444464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1*38\/(-76))\/(-7). Suppose 0*v = 2*v - 8. Suppose 5*o - v*w - 1 = 11, -10 = -5*w. Solve 5*t - o*t + 1 = j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24e (base 15) in base 4?\nAnswer: 20030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-899)\/(-2))\/((-20)\/(-120)) is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rriirrr. Give prob of sequence rrir.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 7. Let f(y) = 8*y - 14. Calculate -6*f(m) - 11*r(m).\nAnswer: -4*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-4)\/(-2) - 0). Let z(u) = -u**2 + 6*u - 7. Let t be (-24)\/(-9)*(-18)\/12*-1. Let i be z(t). Calculate the highest common divisor of n and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22301 - 100003?\nAnswer: -122310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2343 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**4\/5 - 3*j**3 + 2184*j**2\/5 - 19404*j\/5 = 0.\nAnswer: -33, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + t. Let n(l) = 9*l. Give n(x(j)).\nAnswer: 9*j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 20, -2*d = -3*j + j. Suppose s + 0*s = 3*w - 204, -2*s = -d*w + 340. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 45 = -12*m. Let l be (6\/2)\/(m\/15). Suppose v - 19 = 5*h, -h + l*h - 211 = -5*v. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/4))\/i)\/((i*i*i\/(i\/i**(2\/23))*i)\/i)*(i*i**7*i*i)\/i**(-6))\/(i\/i**(-7)*i**4)**(-44) assuming i is positive.\nAnswer: i**(49879\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 19*p - 224. Let g be i(12). Let s(t) = t - 22. Let f be s(17). Put f, -17, g, 2 in decreasing order.\nAnswer: g, 2, f, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -25, -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6926, 6921, 6916, 6911?\n\"Answer: -5*r + 6931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 203*i**2 + 7. Give p(-2).\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(512)*-1).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*i + 19 + 8 = 0, 4*i = 3*p - 107. Let u be (-1 + -2)\/(6\/(-448)). Let y = u - p. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 143 = d, -2*a = -2*d - 0*a + 284. Is d at most 141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 v, and 2 s when four letters picked without replacement from {s: 5, v: 2, j: 2, y: 2, g: 2}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*b**4 - 3543*b**2 - 5158*b + 3 wrt b?\nAnswer: 924*b**2 - 7086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 152012\/11748 + (-4)\/(-66). Calculate the greatest common factor of w and 16939.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*6*((sqrt(2) + sqrt(2) + sqrt(300)\/sqrt(6) - sqrt(2)) + sqrt(2) - sqrt(8)\/(sqrt(20)\/sqrt(5))))**2*2.\nAnswer: 518400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -2*d. Suppose -d = 3*r + 32. Let p = 12 + r. Solve p = -0*l + l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 4 + 5*j**2 - 4. Let y(a) be the first derivative of a**4\/6 + 49*a + 20. Let v(o) be the first derivative of y(o). What is s(v(l))?\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m - 84. Let d(x) = -3*x + 21. Let h(g) = 9*d(g) + 2*j(g). What are the prime factors of h(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**3 + 28*q**2 + 365*q wrt q.\nAnswer: 18*q + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 8*x - 10*x + 10, -t - 13 = -5*x. Let v = -0.21 - -0.61. Put v, 1, -0.5, t in decreasing order.\nAnswer: 1, v, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51d + 1?\nAnswer: -51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-8)\/(-84)*-3)\/((-25)\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 4. Suppose 0 = -n + 4. Let y(a) = 24*a + 33. Let r(v) = n*y(v) - 33*m(v). Let b(h) = h - 5*h + h. What is b(r(p))?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*f - 321*f + 86*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*s + o - 12, -4*s + 8 = -2*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -13, -3, 5, -2, 63 in increasing order.\nAnswer: -13, -6, -3, -2, 4, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 43 - 57 = 0. Suppose 0 = -s - 5*g - 20, -2*s + z = s - 5*g. Suppose 3*q + 156 = -x + 889, -x + 4*q + 705 = s. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10170, 40651, 91430, 162501, 253858, 365495?\n\"Answer: -u**3 + 10155*u**2 + 23*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5, 4, -196 in increasing order.\nAnswer: -196, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0206088825 rounded to 5 decimal places?\nAnswer: -0.02061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 458*o - 457*o. Let k(a) = 5*a**3 - a**2 - 5*a + 1. Let q(m) = -2*m**3 + 2*m. Let h(l) = 3*k(l) + 7*q(l). Determine h(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 7*h - 2*k = -36514, 5*k + 182555 = 5*h. Let b = -13242 + h. What is b rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 - 18*x**2 - 111*x - 90 = 0.\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 6. Let w be d(2). Let j be (w*24\/32)\/((-6)\/20). Solve -j*n + 2*n = 4*g - 12, 3*n - 12 = 5*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 + 4*t**2 - 2*t - 2. Let n be w(2). Let u be n\/(-12) - 2*1. Let i be (-2)\/90 - (-1)\/(-5). Put u, i, -0.1 in descending order.\nAnswer: -0.1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/8*m**2 + 85\/2 - 341\/8*m = 0. What is m?\nAnswer: 1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r*r)\/r*r**(-1\/3))\/(r**(1\/3))**(-1\/4) assuming r is positive.\nAnswer: r**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12329060 and 319580?\nAnswer: 234252140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45 - (-7 + -48)) + -39.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/164336 and 89\/48.\nAnswer: 493008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000569314088 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/297 and -133\/198.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-3)\/(-81)*15)\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44104240 (base 6) to base 16.\nAnswer: 141120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1042 + -1046. Sort -5, -0.1, z, -1.\nAnswer: -5, z, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 15*o + 14. What are the prime factors of y(-13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + t - 3 = 0, -f = -t - 7 + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*s + 18 + 60, 3*s - 5*n - 110 = 0. Solve 6 = -4*d + s for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4061 and 235538?\nAnswer: 235538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1276 and 423?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmzggwzzgz. What is prob of sequence wgg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(12\/16 - (-6)\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162428448 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**4\/24 + 250*r**2 + 7. Let f(n) = 45*n**2 - 9. Let u(x) = -11*x**2 + 2. Let y(i) = -4*f(i) - 18*u(i). Give b(y(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 1156*k**3 - 2752946*k**2 + 6533899905*k\/4 + 6578021025 = 0. Calculate k.\nAnswer: -4, 81105\/68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24*2)\/(2 + -3). Suppose 2 = z - g. Suppose -z = t - 6*t. What is the smallest common multiple of t and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.84418008 less than 0.49044?\nAnswer: -2.35374008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2539176 and 13496?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*v - s + 616, -4*v + 823 = 5*s. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17279489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -445032507.6 rounded to the nearest 1000000?\nAnswer: -445000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/1330 (b) 35\/3 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y - y. Suppose y = 3*j + j - t - 6, -18 = -5*j - 4*t. Solve m + j*m + 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**(-1\/4))\/v)**(-49)*(v**(-1))**(2\/19))\/(v**(-1\/6)*v\/(v\/((v*v**1*v)\/v)*v)*v*v**2\/v**4) assuming v is positive.\nAnswer: v**(-8365\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 + ((-4730)\/86 - 31).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (4 + 0 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:41 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/9 + 604*j**3\/9 + 602*j**2\/3 - 4181*j. Factor w(g).\nAnswer: 4*(g + 1)*(g + 301)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h + 1. Let y(l) = -7*l - 2. Let d(o) = 62*o**2 - 618*o - 26. Let a be d(10). Give a*v(t) - 5*y(t).\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 3, 3\/118, -1, -0.042?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 2*f + 4 + f + 0. Let s(y) = -y**3 - 2*y**2 + 4*y - 1. Let q be s(-3). What is the remainder when 45 is divided by d(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k - 50 = -5*t, -2*k + 3*t = 26. Suppose 5*q + 39 = -y, -4*y + 8 + 11 = -5*q. Is q less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600037 a multiple of 734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = -2*l. Let m = 19 + l. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1\/(-3)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(0\/2 + 1). Suppose -2*i = c*i - 15. Suppose -i*b - 2*b = 4*k - 152, b - 39 = -k. Find the common denominator of 40\/11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1095726 and -2688.994?\nAnswer: 1093037.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 295610213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + y**2 + 19*y - 2 + y**3 - 3*y**3 - 19*y in the form t*y**2 + h*y + f*y**3 + v*y**4 + b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936*p + 5231 = 816 - 1201 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233160 divided by -67.\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -4768543?\nAnswer: -4768539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (703647\/4380 + -161)*(-150)\/28?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, u: 1, i: 3, b: 5, j: 1, k: 1}. What is prob of picking 1 j, 1 u, and 2 s?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898.562 weeks in microseconds?\nAnswer: 2357850297600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 189 (b) -0.0236 (c) -1 (d) 2\/5 (e) -42 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - w - 25 = 0, -6*g - 43 + 13 = -4*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xnxxnvnlxnvxxnnnvn. What is prob of picking 1 n, 2 v, and 1 l?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.4 less than -96858735?\nAnswer: -96858761.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478571*g = -478596*g + 75. Let -3 - 1\/4*h**g - 5*h - 9\/4*h**2 = 0. What is h?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -14. Suppose u = 2*x + x. What is the first derivative of -4*o**4 - 2*o**4 - x + 3*o**4 wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 31. Suppose -f*b + 4*z = -b - 40, -3*z - 9 = 0. What is the least common multiple of (20\/(-14))\/(2\/(-14)) and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) - 928\/(-80). Suppose w*z - 768 = 4*z. What is the greatest common factor of z and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/((d*d*(d\/((d*d**(-2))\/d))\/d*d)\/d)))**(2\/61))**(-50) assuming d is positive.\nAnswer: d**(-400\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 14*h**2 - 2*h - 1. Let w(q) = q**2 - q. Calculate -2*w(l) + y(l).\nAnswer: 2*l**3 - 16*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjyhjyjsjjjjyy. Give prob of sequence sy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*q - 44 = -3*k, -72 = -3*k - q. Suppose -2*d + 5*c - 56 = -255, -4*d = -2*c - 390. Calculate the remainder when d is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17943462 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from {i: 2, o: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2 + 2 + -3 - -455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3 - 188\/(-273). Let c = -1294.248 + 1290. Let p = c + 0.248. Which is greater: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edyyeyyyfneddnydff. What is prob of picking 1 y, 1 d, and 2 e?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-20))\/(1*8\/(-48)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9697*r + 44805 = -736*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6268 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, t: 1, z: 1, h: 2, f: 3, b: 3}. What is prob of sequence hbz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251637 - -157144. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2 - (-8 - (-8)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*x**4 - x**3 + 27*x**2 - 37*x**4 - 7*x**2 + 13 - 17*x**2 to q*x**4 + s*x + j*x**3 + y + w*x**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 12 = 12*g. Let j(f) = -f + 5 - 2*f + 5*f. Is 9 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 27*n**2 + 19*n - 55. Let q(m) = -56*m**2 - 37*m + 110. Let y(z) = -4*q(z) - 7*v(z). Calculate the remainder when y(3) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*q + 961 + 1104 = 881 - 1936 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 5:14 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6200.735054 to the nearest ten.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 2*y + 3*u + 38278 - 38328 = 0, 5*y + 47 = 4*u - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5925 and 711?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55, -52, -47, -40, -31, -20, -7?\n\"Answer: k**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1370.972 - 1368. Let l = 3 - g. Round l to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, -7, -1, -4, 6, -10 in decreasing order.\nAnswer: 6, -1, -4, -7, -10, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 16857.58 to the nearest 100.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 358310 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 117 + 138. Let p be (7 - 6)\/(1\/y). Suppose 5*o = -h + 128, 2*o + 2*o - p = 5*h. What is the remainder when 97 is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3223100221 (base 5) in base 2?\nAnswer: -11010000111100111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 6*b. Let p be u(4). Let m be (p\/30)\/(2\/9). Suppose -s + k + 4 = 0, 5*s - 4*k + 1 = 21. Which is greater: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 12. Solve -15 = -q*v + 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2315 - 2315 - 208*z.\nAnswer: -208*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4284, -8610, -12976, -17382, -21828, -26314?\nAnswer: -30840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1292 times 391\nAnswer: 505172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23328 + 209950\/9. What is the closest to 2 in 0.4, -0.41, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 129*u**3 + 9*u**2 - 19*u + 122. Is 103 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 3*p + 14. Suppose 0 = -p*t + 3*t - 44. Suppose 5*x = -5*r + 200, -r = -2*x + 4*x - t. Calculate the highest common factor of r and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000856722 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:27 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 greater than -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.1, 2316, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 37*r**2 + 3*r - 64. What is the remainder when g(37) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11252 (base 6) to base 13\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.07 + 1.09. Is h >= -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*r - 16 = 0, 0*r - 20 = 2*f + 4*r. Let i be (-1)\/((-78)\/(-40) + f). Solve -5*y = -0*y + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 2*r - 4*r. Suppose 0 = -j + 2*k + 18, -2*j - 5*k + r = 0. Solve -6 = -2*i + 2*z, j = 5*i - 3*z + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43536, -87090, -130646, -174204, -217764?\n\"Answer: -b**2 - 43551*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y - 2. Let r be n(3). Let c = -6 + r. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from bdaadddaaba?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16464 divided by -3\nAnswer: -5488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 30 - 21 - 20*y.\nAnswer: -20*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5445, -2818, -183, 2466, 5135, 7830, 10557?\nAnswer: 13322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1600183424*z. Let w(g) = 12349*g. Give -2*f(u) - 259161*w(u).\nAnswer: -12341*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*i - 2279 = -30*i - 711 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.09137085 to four dps.\nAnswer: 17.0914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 30*o**3 + 11*o**3 + 15*o**3)*(-2 + 1 + 3).\nAnswer: -8*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 70 = 2*o. Let w = o + 24. Let h be 209998\/(-3) - w\/15. What is h rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -494*m**3 - 388*m**2 - 194*m**5 + 494*m**3 wrt m.\nAnswer: -11640*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 8*w - 46. Suppose -m - 1 - 14 = r, m = -4*r - 51. Give c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 106. What is the hundreds digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 4, t: 7}. Give prob of sequence tuu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12534, -12979, -13424?\nAnswer: -13869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -4204?\nAnswer: 840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-890.8\nAnswer: -356.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -240332 (base 5) to base 16\nAnswer: -228a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2999801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29816 is divided by 9935?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 31*v**2 - 65*v + 95. Let t be o(29). Let h = t - -150. What is the remainder when 161 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*sqrt(143)*-2*4)\/(-2*(sqrt(396) + sqrt(396)*-2)*-6).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbcwbyewyycecedw. What is prob of picking 1 c, 1 d, and 1 b?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + 2)*-3)*2 + (-5*(sqrt(99) - (sqrt(99) + 1)) - 3*(1 + sqrt(99))).\nAnswer: 14 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -21 + 33 - 25 + 66*f. Is h(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*p**5 + 36*p**4 + 272*p**3 - 192*p**2 - 640*p + 192 = 0. What is p?\nAnswer: -2, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/39 greater than 630.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (-90)\/25)\/((-3)\/(-15)). Let t be 2\/(-5) + 16\/(-10). Sort 1, a, t.\nAnswer: a, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0042747779 to five decimal places.\nAnswer: -0.00427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 11 = 5*k, -q + 3 = 4*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*z - 7128, -3*p - 4*z + 1064 + 4275 = 0. What are the prime factors of p?\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 31 = 7*v - 6*v + 3*q + 3*q, -53 = 6*q + 43 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030060 a multiple of 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -4)*(-2)\/(-4). Let c(p) = -32*p - 23. Let d be c(-9). Suppose 2*h - 3*o = 145, -5*o = h + k*h - d. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*u + 0*u + 2 = 0, 12 = -2*i - 4*u. Let g be 4\/12 - i\/(-6). Suppose -6*s + 4*s + 60 = g. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-8)*(-8)\/6. Suppose q*g - 51 = -g. Suppose g = -u - 4*b, 2*b = 4*u - b - 27. Solve 0 = 5*y - 4*h + h + 9, -u*y = -3*h + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 248*j - 79. Let f(u) = u**2 + 124*u + 34. What is 7*f(o) + 3*i(o)?\nAnswer: 4*o**2 + 124*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4 + 8. Suppose -74 = -4*k - f*o + o, -k + 4*o = -29. Suppose -3*d - 2*d = 0. Solve -3*j + d - 2 = 2*m, -j = 5*m - k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - 2*w - 2*w + 2. Let y(s) = s + 0 + 0 - 3. Let j(f) = -3*k(f) - 2*y(f). Let n(p) = -20*p. Determine j(n(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 smaller than 473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 964 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -1501?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbbb when four letters picked without replacement from hhhhhhbbhhhhhhbh?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3130779003?\nAnswer: 3, 11, 94872091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/23 - -467\/69. Let s = 13466\/9 - 1496. Which is the nearest to 2\/3? (a) -5\/4 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*n + 10 + 12, 4*n = -2*f - 28. Let z = 3 + n. Is z\/10 + (-532)\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 108 = 11*f. Let t(b) be the second derivative of 0 + 2*b**2 + 0*b**3 + 2*b - 1\/4*b**f. Differentiate t(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 2*s**4 - 8*s**4 + 3*s**4 - 11*s**2 + 5*s**4 as i + w*s**4 + k*s + g*s**2 + x*s**3 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -7 + 9 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 8*a - 3 + 2. Let z(m) = -m**3 + 5*m**2 + 4*m + 7. Let k be z(6). What is the tens digit of p(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41478 and 5267706.\nAnswer: 5267706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72.6 or -2997?\nAnswer: -72.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1848 + 1848.5. Sort -112, t, 1\/5 in descending order.\nAnswer: t, 1\/5, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = -3*s - 8, -5*s - 12 = n. Is (-3)\/(-3)*s*-16 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.85 + 0.75. Sort g, 4, -5 in increasing order.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 7*k + 29. Suppose -7 - 1 = -2*q. Suppose z - 6*z - 5*y + 60 = 0, -q*z + 66 = -k*y. What is the highest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 42002.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25438 - 11555. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 173406583 and -4?\nAnswer: -693626332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18\/4*(-18)\/(-27)*(-273)\/1638*118\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162253520 to the nearest integer?\nAnswer: 12738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/(-3)*(13 + -10). Suppose -45 = -3*j + i, -2*j + 8 = 5*i - 22. Suppose -12*s = -j*s. Solve s = 4*a + c - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 251 + 21*u + u + 48*u + 2 + 36*u wrt u.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85, 162, 191, 148, 9?\n\"Answer: -4*w**3 + 105*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1307, 2599, 3889, 5177, 6463, 7747?\n\"Answer: -v**2 + 1295*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 22*q**2 - 82*q - 390.\nAnswer: 2*(q - 5)*(q + 3)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/89076465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -32*d**2. Let n(l) be the second derivative of 2*l**3\/3 + 198*l. What is y(n(t))?\nAnswer: -512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 11*y**2 + 237*y + 422. What is k(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 24*n**2 - 275*n - 4113. Determine u(-20).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*0.68.\nAnswer: -26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*2\/9 + 16\/24. Suppose -3*h + 2*g - 8 = 0, -5*h + 2*g - 12 = -g. Solve f = -l - h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 2*f)*(-2*f**3 + 0*f**3 + 0*f**3) + 0*f**4 + 2*f**4 + 0*f**4.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6131 - 6124. Solve -2*u = -u + c for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/1014 and ((-23)\/(-897))\/(-7*(-2)\/366).\nAnswer: 7098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -60*b**2 + 361*b + 2. What is the remainder when 1454 is divided by k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 14*o + 6. Let z(t) = -t**2 - 10*t + 1. Let l be z(-9). Let w be v(l). Let d = w + 36. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*t - 40 - 8*t - 5*t**2 + 77 + 143.\nAnswer: -5*(t - 12)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -5 - -1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 10. Let w = 1784\/9 - 198. Which is the nearest to -0.3? (a) w (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + o**2 + 14*o**2 to the form t + z*o**2 + w*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c. Let m(s) = -2*s - 11. Suppose 3*q - 36 = 5*o, 2*o - 29 = 8*q - 13*q. Let z(n) = n + 3*n - 4 - 5*n - 3. Let t(w) = q*z(w) - 5*m(w). Give h(t(i)).\nAnswer: 6*i + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4581?\nAnswer: -4580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 40 = -11. Let r = 57 + n. What is the highest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**2 - 32423210*z - 8105802.\nAnswer: -2*(z + 4052901)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 25*c = 28. Suppose c*t - 4*t = 3*t. Are t and 2\/201 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 44 = -10*s. Let z(y) = -y**3 - 6*y**2 - 6*y - 5. Let u be z(-5). What are the prime factors of u*(-2)\/6 - s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948493.\nAnswer: 7, 13, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1632 and 3?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 1. Let o be d(1). Suppose z - 2*z = 2, 4*z - 4 = -j. Solve -3*s + 3 + 9 = -o*i, 0 = 4*i - 2*s + j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h + 2*h**2 + (-2 + 0 - 1)*(5*h**2 - 4*h**2 + 0*h**2).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 14, 1\/2, -1\/41?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6 - -6.60000047. Round r to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 2*y**2 + 18*y - 5. Calculate the lowest common multiple of 184 and a(5).\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 292, 455, 636, 841, 1076, 1347?\nAnswer: 1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1165a8 + 112?\nAnswer: -116496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 160*n**2 + 2920*n + 8302. Give x(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11307583.\nAnswer: 7, 230767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21310563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39635.999872 - -39638. Let r = y - 2. What is r rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4160 > -4163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 116*s + 375. Determine z(61).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1906 is divided by 949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.94 + 0.06. Let l = -5 + k. Let t = 0.029 + 0.171. Which is the second smallest value? (a) t (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(11)*-1) + -5)**2 + -1.\nAnswer: -20*sqrt(11) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.83 + -1.93. Which is the closest to 1? (a) 0.4 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/61)*r*r)**(9\/10)\/((r*r\/(r*r**(-4\/17))*r)\/(r\/(r*(r**(-19)\/r)\/r*r))) assuming r is positive.\nAnswer: r**(42505\/2074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158328 (base 9) to base 6.\nAnswer: -2033255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 + i. Let c be w(-2). Let v(n) = 5*n**2 + 64 - 62 - c*n + 4*n**3 - 3*n**3. Let r be v(-6). Solve 5*a = r*k - 13, 0 = -a - 3*k + k - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 45453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.949 + -12.948994121. Round b to 7 decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 47*d**2 + 116*d - 586. What is h(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142303 by -4.\nAnswer: 142303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -479089 + -4?\nAnswer: -479093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.206 + -0.146. Which is the biggest value? (a) 0.5 (b) q (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -5*d**4\/24 + 5*d**3\/6 + 154*d**2. Let h(i) = 7*i - 6. Let u(b) = -4*h(b) - 6*p(b). Calculate u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29350719 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*w**5 - 15*w + 27*w**5 + w wrt w.\nAnswer: 400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46608*v + 7348*v - 8251*v.\nAnswer: 45705*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 134?\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 51*l + 410. Give c(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16 + 16\/12*45\/12. Let d(b) = -b**3 - 11*b**2 - 19*b - 20. Let t be d(x). What is the highest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4193 and 153.\nAnswer: -641529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*x + 40, -2*x - 5 = -4*c + x. Suppose 2*t + 8 = -2*w, 0 = 2*t + 5*w + c + 6. What are the prime factors of -5*(-6)\/(-15)*t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*o**2)*(o**2 - 1 + 1) - 32*o**4 - 9*o**4 - 11*o**4 to c*o**3 + t + n*o**4 + w*o**2 + f*o and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 5*j**3 - 4*j**3)*(5 + 38 + 20 + 9).\nAnswer: 72*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2987*v + 3. Let q(d) = -19*d**2 - 10*d + 20. Let c(p) = 21*p**2 + 11*p - 22. Let l(t) = 10*c(t) + 11*q(t). What is b(l(k))?\nAnswer: -2987*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -25444 <= -25444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Let u = -2.2 + l. Let y = -18\/5 + 49\/15. What is the third biggest value in u, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-2)\/2 + -13 + -1769987. What is l rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -56. Let a = -17.98 - y. Round a to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**2 + 3 - 3)*(3*a + 8*a + a) - 536*a**2 + 536*a**2 + 82*a**3 to the form t*a**3 + h + n*a + d*a**2 and give t.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:33 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -85785822 and 211620.\nAnswer: -85574202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3*v + 133*i**3 - 50*i**2*j*v + 2*j wrt v?\nAnswer: -i**3 - 50*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/1343 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 14910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -553752.94 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2 + 11 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -28*r**4 - 63848*r**3 - 22024364*r**2 - 28229776*r - 6269232 = 0?\nAnswer: -1857, -422, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -9. Suppose 2*n - 7*n = -k. Factor -2*t**2 + 2*t**3 + 0*t**n - 2*t**2 - 6*t**3.\nAnswer: -4*t**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -12*c + 18*c. What is the smallest common multiple of 27 and c?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 44?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 24621366?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 69 = -22*k. Let r be k - 1 - (5 + -4). What is the smallest value in -1\/6, r, 164?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-2 + sqrt(1377))*3*-1.\nAnswer: -120 + 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52.8? (a) 25\/3 (b) 1 (c) -5 (d) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.64 - 0.36. Let f = 16.1 + z. Which is smaller: -2\/5 or f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(2)*1 + sqrt(2) + -5)*4 - ((-2*sqrt(18))\/sqrt(3))\/sqrt(3)).\nAnswer: -100 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -95414683 divided by -236761?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 3096.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 987, -5, 4, -4, 1 in decreasing order.\nAnswer: 987, 6, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(7 - -5) + 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302962362?\nAnswer: 2, 3, 29, 1741163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 12. Let a(d) = 3*d**2 - 7*d - 946. Let x be a(19). Solve 3 + c = -x*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + 3*h - 3*h)*(-1 + 1 - 4*h) + 5*h**3 - 10*h**3 - 3*h**3 as u*h + d + q*h**3 + o*h**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, a: 13}. What is prob of picking 4 l?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzvzvhzzshzvszshh. What is prob of sequence hvv?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -22)*((-60)\/(20\/(-5)) + -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(-v**2 - 2*v**2 + v**2)*(0 - 3*v + 0).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*q - 3*n + 14 = -72*q, 0 = -4*q + 16*n - 56 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 3, v: 1, q: 4, b: 1, j: 6}. Give prob of sequence bz.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(11) - (-2 + (sqrt(33)\/sqrt(3) + sqrt(11))**2)) + sqrt(11)).\nAnswer: -8*sqrt(11) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/(l\/(l*l*l*l**(-14)*l)*l))\/l)\/l)**(1\/3) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 345777 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24348.8675*-0.3.\nAnswer: 7304.66025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 23 (c) 3.38 (d) 0.4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 2}. What is prob of picking 1 r and 3 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s - 46*s + 28*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 63*v**2 - 27*v. Let f(l) = -9*l**2 + 4*l. Give 27*f(k) + 4*m(k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-13 + -2 + 15)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -1\/7, -1, -8\/13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m - 2. Let z be k(5). Suppose 36 = 5*v + 7*v. Let p(b) = v - 6*b**2 - 12*b - 17 + 13*b + 16. Determine p(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4760941 by 2.\nAnswer: -4760941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 e when four letters picked without replacement from bbbebueeubebbbuub?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 + 6*n**4 - 14*n**3 - 54*n**2 - 36*n = 0. Calculate n.\nAnswer: -3, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31963\/9 - 3546. Calculate the common denominator of 1\/1 + 166\/20 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 1 + 2*y - 2*y)*(y - 2*y + 5*y) - 1 - y**2 + 1 + (-y + 3 - 3)*(-5*y + 92*y - 4*y) + y**2 - 3*y**2 + 0*y**2.\nAnswer: -94*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgygrnnghgcng. What is prob of picking 1 g and 2 n?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 2*m**4 + 3*m**4 + 3*m**4)*(-1 + 4*m + 1).\nAnswer: 16*m**5 - 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*u + 54. Suppose 2*k - u = -27. Let f = 12 + k. Solve f = -s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 3943*c - 109 + 88 in the form w + q*c and give q.\nAnswer: 3943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2796*a + 15361. Calculate n(-5).\nAnswer: 1381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 2*j**2 - 3*j**2 + (42*j - 35*j + 55*j)*(4*j - 2*j + 1 - 3*j) to the form n + s*j**2 + x*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -2*o + 8, 369*s = 5*o + 364*s + 30 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78770254 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 24*j**2 - 110*j - 11. Let x be d(-6). Suppose -10 = -0*l - 2*l. Put -5, l, x, -4 in ascending order.\nAnswer: -5, -4, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k. Suppose k = -2*y + 7*y. Solve 4*w = p - 20, 4*w + y*w + 20 = -5*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = 7, 4*d = -v + 170. Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329607 and 72875?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 285454 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28545 - 25924. Which is bigger: -1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3) + 5 - -2 - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 5*r**4\/2 + 14*r**3\/3 + 11. What is the third derivative of o(t) wrt t?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + k**4 + 4*k**4 + (2*k**3 - 4*k**3 + 4*k**3)*(-19 - 5*k + 19).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7813654.\nAnswer: 2, 3906827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + ((-143)\/201 - -1). Let v = c + 3\/67. What is the biggest value in -3, v, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10031892 is divided by 436?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, y: 1, z: 1, p: 2, n: 3, j: 9}. What is prob of sequence pyn?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 6*w**2 - 2*w - 4. Let g(h) = h**3 - 6*h**2 - h. Let a be g(6). Is 3 a factor of l(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-3))\/((-3872)\/3630)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -209722+0.278188\nAnswer: -209721.721812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08900219842 to five decimal places.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n)\/n**17)\/(n**(-1))**17 assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4329*l - 7516. Determine t(2).\nAnswer: 1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2010 and 2814.\nAnswer: 14070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 3*g + 2. Let d = -694 - -693. Determine c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 175\/55 - (-4)\/(-22). Let h be (-5)\/15*w + (0 - -3). Is 18 a factor of 5\/(-75)*-12*90\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014549145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7478 times -5?\nAnswer: -37390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 17*m - m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.4, -0.14, -4\/7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 1\/12*n**4 - 1\/18*n**6 - 1\/15*n**5 + 1\/9*n**3 + 6 + 0*n + 0*n**2. Find m such that s(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 382 - 382 + 218*y in the form m*y + v and give m.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 + v**5 - 2*v**4 + (-4*v**4 + 4*v**4 + 5*v**5)*(0 - 3 + 5) + v**5 - 2*v**5 + 2*v**5.\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 34 = -67. Let k = 1 + 5. Find b such that -a*b**4 + 2*b**2 + 0*b**5 - 4*b**5 - k*b**3 + b**4 + 2*b = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -17*c**2 - 154*c + 12. Let z be h(-9). Sort -1, -3, z, -4 in descending order.\nAnswer: z, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*397 - (-2)\/(-2). Suppose 9*j = o + 12*j - 46, -5*o + j = -54. Calculate the highest common factor of b and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 888?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031 less than 0.299?\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 548, 980, 1518?\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 - 12*q + 8. Let k(v) = -v**3 + 3*v**2 + 5*v. Let o be k(4). Let d(s) = -s**2 - s. Let f(c) = o*d(c) - y(c). What is the units digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10939 + -15213?\nAnswer: -25b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from ieeieeeeeiieee.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1322 and 812369.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-49)*245\/50?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2778 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 817, -4, 4 in descending order.\nAnswer: 817, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 883922519 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 5)*(3 - 3 + h**3).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50435791 is divided by 1945.\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + ((sqrt(22) + sqrt(44)\/sqrt(2))\/sqrt(11))**2 + sqrt(24)\/sqrt(3) + -4.\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4))\/sqrt(3)*-6)\/((2*1*sqrt(110) + sqrt(110) + sqrt(110))\/sqrt(11)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4\/2 + 35*b**3 - 36*b**2 - 35*b + 71\/2 = 0.\nAnswer: -71, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4608 - 4613. Suppose 4*h - 3*v = -25, 5*h + 23 = 3*v - 12. Let w be (-26)\/h + -4 + 2. What is the biggest value in t, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 2, i: 3, q: 2, o: 2, c: 2}. What is prob of sequence cion?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4564607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 56*v + 258 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566, 820, 1104, 1436, 1834, 2316, 2900?\nAnswer: 3604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l + l**2 - 9*l)*(36*l**2 - 50*l**2 - 37*l**2 + 2*l**2 + 3*l**2 - 4*l**2 + (0*l + 0*l + l)*(0 + 0 - l) + 4 - 4 - 2*l**2 - 2*l**2 + l - l).\nAnswer: -55*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1665*z**3 + z**4 - z - z + 2 - 10*z**2 - 21*z**2 + 1672*z**3 in the form b*z**2 + l*z + k + d*z**4 + j*z**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:06 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -6, -32, -1, -259 in decreasing order.\nAnswer: 14, -1, -6, -32, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + 1 + -9 + 30672\/(-1096) + 37.\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151626, -151611, -151582, -151533, -151458?\nAnswer: -151351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - e2?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 8)*(-55 + 34 - 44)*(3*p**4 - 48*p**3 + 48*p**3) + (p - 2*p + 0*p)*(-p**3 + 0*p**3 + 2*p**3).\nAnswer: -976*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10824154 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: What is -1550.283 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.13 + -53.787366?\nAnswer: -59.917366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*j**3*x**4 + 3114*j**3 - j*x**2 + 43*x**4 wrt x?\nAnswer: 3312*j**3*x + 1032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 732 + -1136. Let k = 600 + o. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:58 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 945485 or 945484?\nAnswer: 945484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 2, c: 1, s: 2, w: 1, g: 1}. What is prob of picking 1 g and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 27*z**2 + 12*z - 122. Calculate the lowest common multiple of 11 and v(8).\nAnswer: 18722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 498 and 3531318?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**4 - 7*b**3 - 2047658*b + 3*b**2 + 2047658*b to the form u*b**2 + t*b**4 + a*b**3 + r*b + i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 23, 30?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 - 5*z - 7. Let h(a) = a**2 - 2*a - 4. Suppose 27 + 209 = 133*y - 163. Give y*u(t) - 5*h(t).\nAnswer: 4*t**2 - 5*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:29 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - l + 9*l + 14*l - 42*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1, -219 in decreasing order.\nAnswer: 15, 1, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*x - 10504 = 10450 + 16766 for x.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -33, -53, -73?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 + 226. Let o(a) = 6*a**3 - 2*a**2 + 13*a + 9. Let h be o(l). What is h rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23*w**2 - 3*w**2 + 22*w**2 - 16*w**2 - 83*w**2. Let m(a) = 4*a**2. What is j(m(k))?\nAnswer: -912*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -14*p**2 - 82*p - 269. Determine i(-5).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let u(m) be the third derivative of -m**7\/1680 - m**5\/10 - 29*m**2. Let o(a) be the third derivative of u(a). Give o(q(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3 = -0*s. Suppose g = -2*o + 7, 0 = o + 3*g - 0*g - 11. Sort 18, o, s in ascending order.\nAnswer: s, o, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365907 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Let c = k + 1. Let q = c - -5. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 15*r**2. Let s(b) = 1165*b - 3488*b + 1165*b + 1159*b - 83 + 25. Determine q(s(t)).\nAnswer: 15*t**2 - 1740*t + 50460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d. What is c(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1. Let x(i) = -321*i - 6. Let q(m) = -6*u(m) + x(m). Let k be q(2). Let b = -39164\/61 - k. Is b greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.3. Let o = p - 0.2. Suppose -l - 6 = l. What is the third biggest value in -1\/10, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23.000004. What is h rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 33792.\nAnswer: 2, 4, 33792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106515 + -13?\nAnswer: 106502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7*3\/(-1 + 4). Let z(j) = -j - 12. Let o be z(p). Let u = 0 - 0.4. What is the third smallest value in u, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -4\/7, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f**3\/21 + 5*f**2\/7 + 4*f + 204. Determine q, given that m(q) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -2*i**4 + 7*i**3\/3 - 29*i. Find the second derivative of u(x) wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = k + 3. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (160 - 91389\/615)\/(6\/(-40))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -7\/453729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94889.\nAnswer: 94889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 9. Let z be d(0). Suppose -5*g + z*g = 12. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5308499 weeks to days.\nAnswer: 3.7159493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - m + 0*m)*(-1 + 3 - 3)*(-9273 + 7813 + 5871) to the form r*m + z and give r.\nAnswer: -8822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 4 - (14 + 1 + (1 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 0 - (-5)\/5. Factor o**2 - o**s - 1\/2*o**5 + 0*o**3 + 1\/2*o + 0.\nAnswer: -o*(o - 1)*(o + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**4\/5 - 29*n**3 + 5183*n**2\/5 + 5329*n\/5 = 0.\nAnswer: -1, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/21 - 88\/(-110). Let j = -8 - -13. Let a = j - 5.3. Put a, f, 2\/5 in decreasing order.\nAnswer: 2\/5, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)\/((-5)\/45). Let u be k\/(-2) - (-4)\/8. Solve -u*y - 28 + 3 = 0, 4*m = -2*y + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 154288*h - 154288*h - 1382*h**4 + (0*h + 3*h - 2*h)*(-2*h**3 + 4*h**3 - h**3).\nAnswer: -1381*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 8:05 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1148 and 16933.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 632 = -2*b - 236, -5*q = 20. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 4:05 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 70.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 807 = -3*s, 2*s = -3*p - 2*p + 1026. What is the remainder when p is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*(j\/j**(-7))\/j)*j*j**(1\/3)\/j*(j**(-1\/4))**(-1\/33))**(8\/5) assuming j is positive.\nAnswer: j**(-498\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/6084 and 31\/273.\nAnswer: 42588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-31 - -5) - 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 35*x - 4. Let p(m) = -m + 2. Let k(v) = o(v) + 2*p(v). Let c(g) = -2*g. Give c(k(u)).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 1. Let z(o) = 11*o**2 - 10*o - 6. Let h be ((-8)\/12)\/((-2)\/3). Let r(w) = h*z(w) - 6*m(w). What is the second derivative of r(x) wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = -m - 4, 4*f - 27 = -5*m. Suppose m*r = b + 41, 15 = -2*b - b. Solve -4*t + r = -7*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/28 + (-6 - -764*6\/756). Which is the nearest to -3\/8? (a) -5 (b) -7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -46*g + 45*g + 26, 0 = g - 4*k - 2 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -3380, -2, -3.\nAnswer: -3380, -10, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/9)*b**(2\/3)*b**(-8)*((b**(-1)*b)\/b)\/b)**(-3\/16) assuming b is positive.\nAnswer: b**(83\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 23*m + 67. Let k(u) = -8*u - 22. Let x(q) = 17*k(q) + 6*p(q). Let d be x(-12). Is 10 a factor of 415\/20 - 3\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h + h + 3*h)*(1 - 2 + 2) + 0*h + 0*h + h)*(-3*h**2 - h**2 + 5*h**2) - 25*h**3 + 35*h**3 + 65*h**3.\nAnswer: 77*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x + 22*x**3 - x**2 + 44 - 44 + 26*x.\nAnswer: 22*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3*(-1)\/20*484\/(-12) and -6 - 64\/(-10) - 59\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 14. Let k(a) = -a - 3. Let x(j) = -j**2 - 4*j - 13. Suppose 3*r - 2 = 2*r. Determine c*k(n) + r*x(n).\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10309 - -3037. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4129, -4\/5, -4 in decreasing order.\nAnswer: -4\/5, -4, -4129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/(-35)*(-10)\/(-4). Let d be 119 - j*(-9)\/6. Suppose w - d = -3*w + v, 0 = -5*v. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b = 82*b. Suppose 4*o - t - 6175 = -0*o, 5*o - 2*t - 7721 = b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 7, a: 9, o: 3}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 3*q + 6, 4*q = o - 2. What is the second derivative of o*j - 2*j - 24*j**5 - 3*j + 10*j**5 wrt j?\nAnswer: -280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11\/4 (b) 1\/4 (c) -0.10741 (d) 3 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-190))\/(703954\/(-17461)).\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2133 - 2067. Calculate the remainder when 380 is divided by n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - t + 1. Let y(v) = -4*v**3 - 4*v + 2. Let l = 432 + -433. Calculate l*y(a) + 2*x(a).\nAnswer: 2*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9556, -19116, -28678, -38242, -47808?\n\"Answer: -u**2 - 9557*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 597*d + 577 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 1915 = -3*q - 1886, 0 = 5*q + 5*z - 45 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12441)\/3828*8\/(-15)?\nAnswer: 26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 8. Let t be b(8). Suppose 61*x - 30*x - 2697 = 0. Let k = x + t. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 6*q - 6. Let o(n) = 7*n**2 - 3 - 17*n - 10 - 4 + 8*n**2. Suppose 4*m - 45 = -4*u - 21, 0 = 4*m - 4*u - 24. Determine m*o(v) - 17*c(v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -416 - -624. Is 16 a factor of l*(5 + 0 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1) + (1 - -1). Suppose -12*u + 110 + 106 = j. Solve 22 = 5*f - 0*q - q, 3*f - u = 3*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 350171*d**4 - 45*d**3 - 111767087 wrt d.\nAnswer: 1400684*d**3 - 135*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 4. Suppose 5*s - 6*s + 5 = i. Suppose -y + 3 = -n, s*y + 2*n + n = 39. Let g(p) = p**3 - 6*p**2 - 3*p + 9. Determine g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80761.98mg to kilograms.\nAnswer: 0.08076198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 477 divided by -77605\nAnswer: -477\/77605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14057 is divided by 6759?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 251*c**3 - 143*c**3 + c**2 - 141*c**3 - 6*c as x*c + q*c**3 + s + o*c**2 and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*z = -102, 0*c + 2*z = 3*c - 114. Let g = 1532 + -1537. Let y = c + g. What is the remainder when y is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 35, 446, -1, -8, -3 in increasing order.\nAnswer: -8, -3, -1, 4, 35, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(2) + sqrt(6)\/sqrt(3)))\/((sqrt(42)*2)\/sqrt(6) + sqrt(7)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 733136 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -35*i - 15. Let j be (2\/8 - -1)*12. Let z(h) = 9*h + 4. Let n(k) = j*z(k) + 4*u(k). Let l(w) = -3*w**2. Give n(l(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/20 + 5*q**4\/4 - 231*q**3\/2 - 3*q**2 + 19. Factor o(f).\nAnswer: 3*(f - 11)*(f + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*b - 1 = 0, -14*g + 27*g - 122 = -b for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 20*k**2 - 47*k + 70. Let u be y(-17). Solve 5*d - 89*r + 92*r = -22, -3*d + u*r + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 12716*t + 2759378. What is x(-217)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 449\/6 (b) -1 (c) -5 (d) -2\/3 (e) 1\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1512.8 + 1579. What is x rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**2 + 0*i**2 - 103*i**2.\nAnswer: -141*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 623*h + 230516. Calculate q(-370).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 62 = -14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1279408 by -24604.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/85*105\/462*11.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2689 take away -103034369.25?\nAnswer: 103037058.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 432572, 432576, 432584, 432596, 432612?\n\"Answer: 2*b**2 - 2*b + 432572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 667999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -16\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 + d + 1. Let q be o(-1). Let c be (-6 - q)\/((-1)\/(-2)). Suppose 2*f + 0*f + c = 0. Is 1\/3 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:34 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -531, -836, -1141, -1446, -1751?\nAnswer: -2056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 4287*z + 25842. Determine m(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*p**2*t*y**2 + p**2*t*y + 5831828*p**2*t + 1261*p*t*y**2 - p*t*y - 2*p*y**2 - 32879*t*y wrt p?\nAnswer: 20*t*y**2 + 2*t*y + 11663656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/4)\/((-22)\/264). Which is the nearest to k? (a) -2\/5 (b) 2\/13 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412873 + 9.8?\nAnswer: 412882.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 22 = 4*n, 5*r - 3*n = -0*r + 19. Calculate the lowest common multiple of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**5 + 2*v - 2*v + (0 - 4 + 3)*(-13*v**5 - v**5 - v**5).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/6 + 4593*i\/2 + 667359.\nAnswer: (i + 297)*(i + 13482)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15b45e + -a?\nAnswer: 15b454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8784, -8483, -8184, -7887, -7592?\n\"Answer: -r**2 + 304*r - 9087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) - sqrt(176) - sqrt(11))**2*6*4.\nAnswer: -12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 4*x - 13. What is v(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + 6*r**5 + 0*r**5 + 5*r**5 - 3*r**5 - r**5 + (0 - r + 0)*(-3*r**4 + 3*r**4 - r**4) - 25*r**4 + 0*r**5 - 3*r**5 + 26*r**4.\nAnswer: r**5 + r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -161*p + 5632. Let i be v(32). What is the greatest common factor of 525 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/22 + (-136)\/(-22). Calculate the remainder when 104 is divided by (3\/(m\/(-4)))\/((-12)\/162).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19030 or -19028?\nAnswer: -19030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*b = 9, h - 3*b - 1 = 2. Suppose -f - 4 = -h*f. Let k be 1\/(-4) - (-3)\/(-4). Put k, f, 1 in decreasing order.\nAnswer: f, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d + 1. Let w(k) be the first derivative of 0*k**2 - 8 + 0*k**3 - 6*k + 1\/12*k**4. Let p(y) be the first derivative of w(y). What is p(v(g))?\nAnswer: 100*g**2 + 20*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q*w**3*y**3 - 34*q*w**3*y**2 - 2*q*w**2 - 9*q*w*y - 1764*q*w - 2*w**3 - 2*w*y**3 - y**3 wrt w.\nAnswer: -36*q*y**3 - 204*q*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513*y = 518*y + 1335. Let h = y - -267. Let l(r) = r - 14. Give l(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 81?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -130, -124?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 5}. What is prob of picking 3 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -1)\/((-2)\/61 + (-40132)\/(-48190)).\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-2)\/2 + -2. Let y = 7 + i. Suppose y = -4*h + 40 - 8. What is the least common multiple of 2 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m + 8. Let f(p) = 2*p + 0*p - 4 - 2. Let v be f(4). Are m and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 10) in base 9?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 53. Let c(l) = l + 31. Let i be c(-6). Let z = 76 - i. What is the remainder when z is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.4889 and 0.1414?\nAnswer: 8.6303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -5*b**7\/3 + 23*b**3\/3 + b**2 - 5*b - 4. Find the second derivative of d(j) wrt j.\nAnswer: -1400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139881286241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384322 is divided by 11302?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349213, -698415, -1047617?\nAnswer: -1396819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 0.1804?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97 - 73. Calculate the remainder when 166 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9392456 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -162 - -154. Let l(a) = a + 10. What is l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 4*w**2 + 5*w**2 - 31*w**3 - 10*w**2 as b*w + s + x*w**3 + u*w**2 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 4. Let i be h(-6). Suppose i*d - 27 = 5*s + 10, -4*s = -d + 29. Let v be 2\/s + 92\/28. Solve -v*a = -2*l - 7*a + 12, 2*l + 28 = 4*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5232 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -459 - -2?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 74. Solve 0 = -4*y - 2*o + 8, 30*y = 35*y - i*o - 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cby when three letters picked without replacement from rcriylyricbiicrciliy?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8144, 32585, 73318, 130343, 203660, 293269, 399170?\nAnswer: 521363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 8 + 8. Let v = -204 - -353. Let p = 152 - v. Sort -3, 4, i, p in descending order.\nAnswer: 4, p, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:41 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 2:35 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*z - 6*z. What is the remainder when 12 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**6\/420 - 59*l**5\/210 - 899*l**4\/84 - 841*l**3\/21 - 543*l**2. Determine z, given that g(z) = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n*v**2 + 19*n*v - 59728*v**2 with respect to n.\nAnswer: -4*v**2 + 19*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -88, -128, -176, -238, -320, -428, -568?\nAnswer: -746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 160867979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*b + 58*b + 54*b - 3654. Solve -118*y = -139*y - b for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = -47. Let q = -48 - -73. Calculate the greatest common divisor of q and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 + -158.1. Let y = 12 - 21. Let w = o - y. Is w bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -7*f + 24. Suppose -5*i = -i + f. Let u = 258 - 519\/2. Is u equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = 44. Let s = o - -18. Suppose 2*m - 6 = m - n, -3*m = -2*n - s. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3556 - 5041 = -2*a - 2179. Calculate the remainder when a is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(5\/3)\/z*z)\/(z\/z**(-22)))\/(z**(-2\/3)*z*z**20*z) assuming z is positive.\nAnswer: z**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 8. Suppose -3*d - 12 = 0, v = -v + d + 12. Let t = v + u. Calculate the lowest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4.\nAnswer: -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2515920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/((-3)\/(6 + -3)). Let w be 15\/d + (-10)\/(-85). Let i be -4 - (4 + (-18)\/w). Solve 5*l = 3*l - i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.78 * -689063.\nAnswer: -3293721.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - -1 - -1) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45887 (base 10) to base 4\nAnswer: -23030333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187694829107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/22 + 12*c**3\/11 + 39*c**2\/11 + 40*c\/11 + 113. Determine s so that j(s) = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78694 divided by 511\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-572)\/858*(-14 - 1650\/12).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 3*h - 10, b - 51*h = -56*h + 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 - 495\/(-90).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 66 = 30*d. Suppose 44*p = d*f + 39*p - 26, 0 = 5*f + 3*p - 3. Solve f*y - 14 = -5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*s - 1312 = -6*p, -5*p = -s - 3326. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/16 and -67\/432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 51*s**2 - 50*s - 9. Determine f(-50).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-2 - -14) + (-16 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -443966 = -443967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*k - 797*k + 246*k**2 + 927*k**2 - 631*k wrt k.\nAnswer: 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 0. What is the remainder when 82 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = 2*w, -32 = -4*w - 3*q + 28. Calculate the lowest common multiple of 14 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16501 - 16494. Solve -5*v = -3*c - 2, -10*c + 4*v - 1 = -a*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2098387, -4196775, -6295161, -8393545, -10491927?\nAnswer: -12590307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -14)\/((-18)\/(-492)). Suppose -3*c + 1137 = 2*r, -t + 2557 = 4*r - 3*c. What are the prime factors of r?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - n**2 - n + 1. Let d be (-15)\/(-9) + (-1)\/(-3). Let m(g) = -5*g**3 + 2*g**2 + 2*g - 3. Calculate d*y(u) + m(u).\nAnswer: -3*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.908 - -0.982. Let p = -0.11 - m. Let a = p - -9. What is the nearest to 0.1 in 3, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t + 14*t**2 - 9*t + 23*t + 18*t**2 + 4*t**2 to l + d*t**2 + x*t and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f, -5*w + 217 = 3*f - 7*f. What is the remainder when w is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13*s**2 - 11*s + 9. Let f = -9 + 9. Let v be f + -2 + 27\/(-3). Let r(w) = -7*w**2 + 6*w - 5. Give v*r(j) - 6*t(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 842311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -37*r - 623. Calculate o(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2110230 (base 5) to base 11\nAnswer: 24388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 54*b**3 - 72*b**2 + 37*b - 4. Let f(j) = j**3 + 0*j**3 + j**2 - 16 + 16 + j. Suppose 0 = 4*r - 9 + 29. Let p(q) = r*f(q) + m(q). Factor p(u).\nAnswer: (u - 1)*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.5? (a) 0.1 (b) -2847 (c) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28611.0006 - 28622. Let h = 0.9 - -10.1. Let b = l + h. What is b rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6534) + 4*sqrt(6534) + sqrt(6534))\/(sqrt(20)\/(sqrt(10) + (2*sqrt(160) - sqrt(160)))))**2.\nAnswer: 2940300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122301 - 131103?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -152326 + -2?\nAnswer: -152328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6) - (-74)\/4884. Sort l, 1\/4, 2, 45 in decreasing order.\nAnswer: 45, 2, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370336?\nAnswer: 2, 11, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 187696.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/4 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 13. Give w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 2 + 2)*(101*u**2 - 149*u**2 - 410*u**2) - 4*u + 4*u + u**4.\nAnswer: -2289*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Which is the closest to 0.1? (a) l (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(48) - ((2*sqrt(24))\/sqrt(8))**2)*-1.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -h + 5*n - 2*n, -49 = -2*h - n. Let m be h*2*(-2)\/4. Let z = m - -33. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:46 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 + 1922*v**3 + 121044*v**2 + 2620376*v + 19059920.\nAnswer: 2*(v + 22)**3*(v + 895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k - 3*i + 34, -6 = 3*k + 3*i. Suppose 0 = -3*s + 7*s - 32. Let a(w) = 2*w - s*w + 5*w. Calculate a(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -23. Let b be w\/6 - 62\/6. Let p be (3 - (-4 - b)) + 10. Solve 2*k = -k + p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrv when three letters picked without replacement from {r: 4, v: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -382.4 + 382.45. Let v(f) = -f**3 + 3*f**2 + 4*f + 1. Let m be v(4). Let t be 9\/(-12) - -1 - m. Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30420 - -33111?\nAnswer: 2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(-207 + 285 + 591).\nAnswer: -669*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -74 from -137.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*z - 141*z + 273*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 2)) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(4\/(-3)))\/((-408)\/2992).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1674*u**2 + 25 + 1370*u**2 - 1201*u**2 + 515*u**2.\nAnswer: 2358*u**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 2*n + 1, g - 4*n = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 3*p + 2*p)*(-2 + 1 + 2*p**2 - 8*p - 2*p) as l*p**3 + h*p**2 + s + v*p and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 1. Suppose -7 = u - 4*l, 3*u + 2*l = 4*u + h. Let k = u + 4. Let n(g) = -6*g**2 + g. Let z(a) = 11*a**2 - 2*a. Give k*n(j) - 4*z(j).\nAnswer: -2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**2 - 576706630*v + 16629526854297845 = 0.\nAnswer: 57670663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 46*l - 5458. Calculate u(36).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25 + 9 + 8\/(-2). What is the units digit of 3838\/342 + (t\/9 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r - 4780. Let x = r + 36029\/30. Let g = x + -6. Is -1 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.15 and -37.4?\nAnswer: 304.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 14*c + 17*c = -4, 3*c = f - 2. Let t be -3 + 3 + (15 - (f + 0)). Calculate the highest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7914 - 0.7914. Sort -3, -1, -0.3, 0.9, a in descending order.\nAnswer: a, 0.9, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184583 to the power of 1\/2, to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 - 618492375?\nAnswer: -618492374.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12745\/858 + -335\/26. Let p = -782\/3 + 2887\/11. Find the common denominator of p and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 87. Suppose -17*k = -u*k - 65. Solve 4 + 11 = -k*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/9)*y))**(-13)*(y**7)**11 assuming y is positive.\nAnswer: y**(667\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/30348 and 85\/45522?\nAnswer: 91044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -110*x + 280. List the prime factors of h(-20).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2424*n - 1335*n - 1 - 1611*n.\nAnswer: -522*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-19))\/((y\/(((y*y*y**(-2\/45)\/y)\/y)\/y))\/y))\/((y*(y*y\/y**(2\/19)*y)\/y)\/(y*y*y*y**(-19)*y*y*y*y)) assuming y is positive.\nAnswer: y**(-29018\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -23. Suppose -4*y = 5*j - 21 - 12, -2*y - d*j + 18 = 0. Solve -5*s = 4*b - 15, -y*s + 3*s + 11 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*t + t. Calculate the highest common factor of t and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8327870 to the nearest 100000.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**3 - 451*i**2 + 115*i + 230. What is b(-113)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 1293*q + 1294*q + 118, -2*s = -0*q - 3*q - 74 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 12, -431, -1104, -2007?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010347158 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192241 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 47 = 13. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d)**11\/((d*d\/(d\/(d**10*d)))\/(d\/d**(2\/11))) assuming d is positive.\nAnswer: d**(119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52223, 53074, 53929, 54788?\n\"Answer: 2*x**2 + 845*x + 51376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 = f, 4*w - 773 = f. What is the remainder when w is divided by 1\/(12\/(-64))*294\/(-56)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:17 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/5, -2\/7, -0.01, -2, 19761, -5\/7, -0.3?\nAnswer: 19761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 41, 29, 3, 4, 5 in ascending order.\nAnswer: 2, 3, 4, 5, 29, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 + -213. Suppose 91 = -5*f + g. Suppose -5*l = -3*o + 324, 3*o = f*o - 3*l - 324. 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: b\"What is the cth term of 42045, 84087, 126129, 168171?\n\"Answer: 42042*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 296.008 + -301. Let n = f + -0.008. Sort -0.4, 10, n, -2 in decreasing order.\nAnswer: 10, -0.4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Let r = -1.9 - g. Let n = 0.4 + r. Sort 3, n, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)\/(j**(3\/5)\/j)*(j\/(((j\/j**4)\/j*j)\/j))**3)**(-46) assuming j is positive.\nAnswer: j**(-1242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*z + 11 = -4*z, 5*z = -10. Let p(j) = 3*j - 8. What are the prime factors of p(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 704 - 848 = -4*g. Suppose 0 = -231*x + 229*x + g. Solve 14*s + 8 = x*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**2 - 13745*n - 13. Determine z(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22149 is divided by 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 29742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + y**3 + 0*y**2)*(5 - 3 - 3) + 179*y - 179*y - 72*y**3 + (4*y**2 - 3*y**2 - 2*y**2)*(3 + 2*y - 3).\nAnswer: -75*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*r - 312*r - 3420 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1000011001000000110100000?\nAnswer: -1000011001000000110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.556 - -1.6. Let y = -0.17771 - -0.221765. Let m = n - y. Round m to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.178431 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2. Let f = -62 + 62. Let b(p) be the second derivative of 0*p**3 + f - 1\/6*p**4 + 0*p**2 - p. What is u(b(w))?\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150 - 247. Let j(i) = 30*i**3 - 6*i + 17. Let p be j(4). Suppose -458 = -15*q - p. Is l not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*m - 34*m + 45. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-one fifths of a millennium?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 621683.2 years?\nAnswer: 621.6832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8596075 divided by -19?\nAnswer: -452425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -265\/132 + 23\/11. Let i(r) be the first derivative of 1\/18*r**3 - 6 + k*r**2 + 0*r. Factor i(a).\nAnswer: a*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - 142. Let s be (-276)\/(-360) - z\/10. Let r = -29 - -59\/2. Which is the nearest to r? (a) s (b) 8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741404841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 s, and 1 y when four letters picked without replacement from syyysyssssssmm.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17, -30, -61, -116, -201?\n\"Answer: -q**3 - 3*q**2 + 3*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 67, 0, 14, 5 in ascending order.\nAnswer: 0, 2, 5, 14, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p - 5*c - 20, 39 = 7*p - 4*c + 82 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - 5 - 9*i + 1. Let b be d(-3). Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1088210 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 - -10210220022?\nAnswer: 10210212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-30) + (-2)\/3 - -2. Suppose -18 = 4*z + 46. Let l be (-2)\/z*(-4 + 3). Is f greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (20 - 21 - 2) - ((-2 - -4) + -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 32*j**2 - 274*j\/3 + 60.\nAnswer: -2*(j - 45)*(j - 2)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67 in 35, -5, 8.9, 4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1633 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + q**2 - 2*q + 1. Let z(m) = -18*m**3 + 4*m**2 - 5*m + 44. Let r(d) = 4*f(d) - z(d). Differentiate r(v) wrt v.\nAnswer: 66*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1116*f + 19563 = -9453 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10 + 0 + (-2 + 2 - 2)*(3 - 1 - 1) - 1 + 2 - 2 + 2 - 1 + 1 + 1 + 1 - 3)*(-b**3 + 2*b**5 + b**3).\nAnswer: -44*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -44*h**3 + 50*h**2 - 93*h - 18. Let k(m) = 7*m**3 - 8*m**2 + 15*m + 3. Let z(q) = 25*k(q) + 4*v(q). What is z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**5 + 0*p + 0*p**4 + 0 - 251\/6*p**3 + 136*p**2 - 13\/24*p**6. Differentiate d(o) wrt o.\nAnswer: -195*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3, z: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 17\/3?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - (42 + 28) - 101.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 1. Suppose -k = 3*u - 15. What is the biggest value in -0.1, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 13*x**7\/6 + 235*x**4\/12 + x**2\/2 - 149*x. What is the third derivative of c(d) wrt d?\nAnswer: 5460*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7436377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 345, 1170, 2771, 5406?\n\"Answer: 43*a**3 + a**2 + 3*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**3 + 37906*c**2 - 75806*c + 37902 = 0.\nAnswer: 1, 18951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 6*p = 24*m + 208, -23*p + 20*p = m - 34 for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/65)\/(1\/1*12\/60).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15883?\nAnswer: 7, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11430, -45676, -102708, -182502, -285034, -410280?\n\"Answer: 4*v**3 - 11417*v**2 - 23*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from battwbtkvwta?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/24 - 15\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/8 and -109\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**7\/105 - u**5\/15 - 5*u**2\/2 - 6*u. Let z(n) be the first derivative of h(n). Find the third derivative of z(l) wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 70*o**2 - 290*o - 104. What are the prime factors of i(-73)?\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(21)\/((sqrt(12)*2)\/sqrt(4) - sqrt(3)).\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 18) + 4\/(0 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -0*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i**3 - 60*i**3 - 339*i**3 + 987 - 987.\nAnswer: -435*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558028 = 3137*n + 4518*n + 29833 for n.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lggl when four letters picked without replacement from ggllllggglgll.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*z - 30, 5*l + 4 = 7*l - 2*z. Suppose -l*g + 4*c - 107 = -7*g, 10 = 5*c. Calculate the lowest common multiple of 12 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 4175 + 1005 - l**3 - 2378.\nAnswer: 5*l**3 - 5548","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 285 = 28*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, h: 3, m: 3, w: 8}. Give prob of picking 3 m and 1 w.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 64. Let m be t(-16). Solve 2*y + m*y + 4 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 27 = -22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -6\/23 (b) -48 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53609993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -922, -1844, -2766, -3688, -4610?\n\"Answer: -922*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + 2 + (-5 - -45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20 - 25) + 1 + 6. Factor 2\/5*m**2 + f - 12\/5*m.\nAnswer: 2*(m - 5)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 + -289. Let u = d + 195. Let z = -4.88 + -0.12. What is the nearest to u in -4, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*v - 90*v = -461*v - 416*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 1. Let w be q(-1). Suppose 0 = -4*c - 3*j + 5 + w, j = 4. Let k be (3 - (c - -6)) + -6998. What is k rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 1520?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -2 (b) -52.5 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38533 and 124.\nAnswer: 154132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 999 and 28860?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -123. Put f, 2, 24 in decreasing order.\nAnswer: 24, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 8. Let c(v) = -v - 8. Let q(w) = 4*c(w) + 5*x(w). Let t be q(-6). Solve -5*g + 2 + 1 = 3*u, -4*g = -t*u - 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 + -101000111110110111100?\nAnswer: -101000111110110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/1254*55*2\/(-40).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 74 = 44. Let t(r) be the first derivative of 0*r**2 - h + 5\/3*r**3 + r. Differentiate t(j) with respect to j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(162)\/sqrt(6)*5) + -2*(sqrt(243) + 2 + sqrt(243) + 3 + -5)**2.\nAnswer: -1953 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3591*c + 22871 + 23812 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4667*z**2 + 4*z - 15. Let n be o(-15). What is n rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2902*d**2*t**3 - d**2*t + 24*d*t - 21636*d - 276*t**5 wrt t.\nAnswer: 17412*d**2*t - 5520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-25))\/(42\/70)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 52. Suppose -x + z = x - 2*i, 0 = 2*x + 3*i - 27. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0252333473 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-4)\/(n\/((n*n*n*n\/(n\/(n**1*n)))\/n)*n*n))**(-41))**(-9\/14))**(-33) assuming n is positive.\nAnswer: n**(36531\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -43, -5474\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Let p = 156 + -784\/5. Let q = 0.9 - -4.1. Which is the closest to d? (a) p (b) q (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-418)\/(-270) + (110 - 34017\/306)*12\/10\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107220 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h - 3*h + h**3 + (h - 2*h + 0*h)*(-h**2 - h**2 + h**2).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*i + 80. Let c = i - 15. Let s be -5*(9\/15 - c). Solve -s*v - 15 = 3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/5 - f**3\/2 + 127*f**2 - 2*f. Let q(o) = 264*o**3 + 32. Give 3*q(w) + 32*s(w).\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 5*x**2 - 5*x + 8. Let o be l(4). Let q(u) = 2*u**2 - 6*u + 6. Give q(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46\/63 - 92\/21. Let q = 41\/9 - x. Calculate the common denominator of q and 27\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = m + 4*s, 3*m + s = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*n - 20, 2*n = 2*g + 15 + 15. Suppose 15*r = n*r + 100. Let k = 15 - r. Let s(x) = x + 3. Give s(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 90\/480*39\/18*-4?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 31. Let c be (51 - 1)\/((-765)\/(-760) - p). Suppose a - c = -3*a. What is a rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2254667126653 - -0.171?\nAnswer: -2254667126652.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*2*sqrt(13) + -5.\nAnswer: -5 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.011464391 - 484?\nAnswer: -406.988535609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 40 - 3*h**3 + 2*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 13*l**2 - 43*l**2 - 39*l**2.\nAnswer: -88*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1047 - 155.\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n + 7*n**2 - 5\/3*n**3 + 0*n**4 + 0 - 1\/12*n**5. What is the derivative of c(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2243b5 - 108?\nAnswer: 2242a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(4)*-2 + sqrt(42) + 2*sqrt(378))\/(sqrt(30)\/(sqrt(5) + (sqrt(605) - sqrt(605)*1))).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200 (base 3) in base 5?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 602 (base 8) to base 13\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5 + 1. Suppose 60 = t + z*t - 5*y, -4*t = 3*y - 55. Suppose 0 = -2*r + 277 - 43. Calculate the highest common divisor of t and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 14. Let j be c(-4). What is the units digit of 93 - (-1 - (j + 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 5, 26, 75, 4, 9.\nAnswer: 0, 4, 5, 9, 10, 26, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + 0.65. Let w = -0.17 - g. Let y = w + 0.7. Which is the closest to 1? (a) y (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 6*k**2 - 2*k - 2. Let h be 82\/(-6) + (-2)\/6. Let a = 8 + h. What is the tens digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/22)\/(1\/(-56)*44\/(-22))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 19*f**2 - f + 5. Let q(d) = -3*d**2 - 1. Let t(p) = 6*q(p) + v(p). Factor t(k).\nAnswer: (k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.219 + -18.219. Which is the nearest to o? (a) -1\/5 (b) 0.1 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26.6, -41\/9, -2\/11?\nAnswer: 26.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23193622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1382, -0.013, -2 in ascending order.\nAnswer: -1382, -2, -0.013, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 375.996548 + -376. Round y to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*d = 315, f + 2*f - 4*d = 294. Is 34 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2387 and -81\/198338?\nAnswer: 2181718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238391, 476782, 715173, 953564?\nAnswer: 1191955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 + 1200?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2727.43552 rounded to one decimal place?\nAnswer: -2727.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101004 - -2323212?\nAnswer: 2424221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341138 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -1 + -2 - 4*sqrt(252)*1)**2.\nAnswer: 108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 8:28 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5757 divided by 3225?\nAnswer: -1919\/1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 144 + -141. Solve -h = 5*w + 5 + 13, -4*h + 5*w + a = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 12*s**2 - 14*s - 6. Let p be j(-13). Let c be 12\/(-42) + 107\/p. Suppose 0 = 2*i + i - 12. Solve -i*f + 0 + 3 = 5*x, c = -2*f + 3*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 27*x - 34 = 29*x, 5*a + 3*x = -19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29340383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319289707?\nAnswer: 11, 29026337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 11) in base 3?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiooqqqqioio. Give prob of sequence oi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgumumummmmmmm. What is prob of picking 1 u and 3 m?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-112)\/(-7)))\/((-22)\/(-198)*-3)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*i = -13, 150 = -9*b + 2*i + 162 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/120)\/((-12)\/32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -85. Let g = 9 + 4. Suppose -4*p + q*a + 3*a = -147, -p + g = 4*a. Is p a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01548 to four decimal places.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s*y**2 - 12819*s - 142723*y**2 - 2*y with respect to s.\nAnswer: 8*y**2 - 12819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 2*g + 1. Let q(u) = 3*u**3 + 5*u - 2. Let k(m) = 2*h(m) + q(m). Let d(x) = -8*x**3 + 3*x. What is -5*d(p) + 15*k(p)?\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 485742*f**3 - 242*f + 242*f.\nAnswer: 485742*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 0.12 (c) -0.5 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13151923.\nAnswer: 13151923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.93119ml in litres?\nAnswer: 0.02993119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -36 * -6.3\nAnswer: 226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56881.\nAnswer: 11, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 4. Let m(p) = -p**3 - 2*p**2 - p + 7. Let z be m(0). Let n be x(z). Solve -n*l - 15 = -0*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 5*n**2 + 4*n + 2. Let z be q(-4). Suppose 8 = 4*m - z*m. Suppose -3*f + 0*f = 0. Solve 0 = 4*h - f - m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5882, 4 in ascending order.\nAnswer: -2, 4, 5882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.878179 less than 0.3?\nAnswer: -2.578179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2daaa (base 15) in base 7?\nAnswer: 1153063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.36686 weeks to days.\nAnswer: 366.56802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1339, -0.07, 0, 214, 2.\nAnswer: -1339, -0.07, 0, 0.2, 2, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10923?\nAnswer: 3, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-594)\/(-176)*8\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*z + 1. Let r(t) = -1 + 0*t + t - 3*t - t. Give r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 230 - 229. What is the units digit of 47 + -51 + 27 + v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u - 2*m, -m - 1 = 3*u - 7. Determine k so that -9\/2*k**5 - 3 - 6*k**4 + 6*k**3 + 9*k**u - 3\/2*k = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*c**2*f**3*j + 6718*c**2*f**2 - c*f**3 - 3637*c*f**2*j - 11*c*f wrt j?\nAnswer: 31*c**2*f**3 - 3637*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9*j = -4*j + 657, 5*j + 448 = 2*g. Solve -6*i - 233 + g = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:01 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*z**3 - 2*z**3 - 5*z**3)*(0 + 0 - 2*z) + 21*z**4 + 145*z**4 - 56*z**4)*(0 - 3 + 2)*(2 - 3 + 3).\nAnswer: -236*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9206391 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5818612*z**4 - 2*z**2 + 24*z + 2156 wrt z.\nAnswer: 139646688*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/240*-4)\/((-126)\/35)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 10625*c - 159605. What is w(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 29*n - 252. Give r(11).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -8*v**3\/3 + 7*v**2\/2 - 61*v - 8. Let y(j) = -1. What is -o(p) - 5*y(p)?\nAnswer: 16*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -790000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 1. Let i(b) = 4*b - 3. Let o(u) = 3*d(u) - i(u). Let c(q) = -q**2 + q. Let k be (-51)\/(12852\/(-56)) + 16\/9. Determine k*c(f) + 2*o(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20534520 (base 6) to base 3\nAnswer: -1010200010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + 6*((sqrt(12) + sqrt(300))\/sqrt(4) + (sqrt(3) + -1 + sqrt(3))*2))**2*-6.\nAnswer: -66744 + 12960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 424442 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.200001385 - 64.2. What is o rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2459748852*p - 2459748852*p + 201*p**2.\nAnswer: 201*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 - 2599 = -77*m. What is the least common multiple of 11092 and m?\nAnswer: 99828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18987\/(-4)*10*76\/57. What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41623.\nAnswer: 107, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 65*f. Let g(b) be the third derivative of 0*b + 1\/24*b**4 + 0*b**3 + 2 - 9*b**2. Determine t(g(o)).\nAnswer: 65*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 66 = 5*j - 203137*t + 203139*t, t - 3 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/(-6) - 31)\/(1\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -125 - 83*d + 234*d - 66*d - 80*d. Give g(28).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 7*k - 2. Let b = 12 - 6. Give o(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**3 - 2*i + 5. Let g(z) = -2*z**3 - z. Calculate 2*g(w) - m(w).\nAnswer: -11*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2458 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u*u\/u**(2\/9))**(19\/3) assuming u is positive.\nAnswer: u**(304\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -133806, -267167, -400528, -533889, -667250, -800611?\n\"Answer: -133361*t - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*h - 3 = 0, 9 = 26*m - 27*m + 4*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 791 = 5*o + 4*t, 3*o + t = 474. What are the prime factors of o?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 - 2*n - 5)*(0*n**4 - 12*n**4 - 4*n**4).\nAnswer: 32*n**5 + 256*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6519531 by -129.\nAnswer: 50539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzddzkzazzzzaaaaa. What is prob of picking 2 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in 4, -10, -4\/4901?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*h**2 - 5*h - 6*h + 14*h - 307*h**2 + 2 - 4*h.\nAnswer: -423*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-4)\/110*-2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -156, -202, -264, -330, -388?\n\"Answer: 2*g**3 - 20*g**2 - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(156)\/sqrt(432).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*g - 7*g. Suppose -g = 4*s - 10. Solve q + 6*m + 3 = s*m, -3*m = -2*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5903036 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5 + 304*w**4 + 604*w**3 - 20624*w**2 - 55040*w + 74752 = 0. What is w?\nAnswer: -73, -8, -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c1 - 4?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -117, -120?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + b + 2*b)*(171*b**3 - 42*b + 171*b**3 + 173*b**3 - 505*b**3).\nAnswer: -30*b**4 + 126*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936900979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 704, 1304, 1896, 2468, 3008?\nAnswer: 3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.582745 nanometers to millimeters.\nAnswer: 0.000002582745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 76 = -g - 59, -g - 10 = -5*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328874 by 139.\nAnswer: -2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2 + (-14)\/(-4)). Let f(x) = x**3 - 4*x**2 + 3*x - 2. Calculate the remainder when 26 is divided by f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*a - 28 = 0, -5*n + 0 = 5*a - 5. Suppose 0 = -n*t - 4. What is the tens digit of 4\/((-6)\/15*t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:15 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 104. Suppose 7*v = 11*v - y. Calculate the remainder when 21 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6831, -13358, -19465, -24942, -29579, -33166, -35493?\nAnswer: -36350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3\/8 + 5*l**2 + 83*l\/8 + 21\/4 = 0.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 30 = -5*f, -559422*o - 125 = 5*f - 559400*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 2*y + 37. Let v = 743 - 743.1. Is v equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 418344*m**2 + 418312*m**2 + 418348*m**2 - 1255007*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 15*x**3 - 29*x**2 - 21*x - 5 = 0. What is x?\nAnswer: -5, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -90?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1406345, 2812647, 4218949, 5625251, 7031553, 8437855?\n\"Answer: 1406302*b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 183 = s, -185 = -s - 4*j - 0*j. Let f = s - 380. Let k = 282 + f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 15 + 4 + 0 - 2 + 0 - 3 + 2 + (0 + 2 - 4)*(-4 + 1 + 5) - 1 - 1 + 1)*(-f**5 + 3*f**5 - f**5).\nAnswer: -19*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4) + -9 + 6 + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40762374 divided by 6793729\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 10, -6430, 2 in descending order.\nAnswer: 12, 10, 4, 2, -6430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -16*y**4\/5 + 2617228*y**3\/5 - 1962812*y**2\/5 - 16357576*y\/5 - 3925824\/5 = 0.\nAnswer: -2, -1\/4, 3, 163576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -4\/17 (c) 2\/13 (d) 306.67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 384*o + 1049. Determine f(-4).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30508 is divided by 4341.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35840*g**3 + 101292*g.\nAnswer: 215040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 56 - 38 = -4*i, 3*i + 2*y = 65. Let h be (1 - 4)*(56\/(-12) - 3). Let r = h - i. Solve r = 5*g + 3*f - 28, 4*g - 3*g - 3*f = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 261 - 636 = 0. Let l be ((-24)\/(-20))\/(15\/h). Solve 0 = -6*i - l - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m = 78*m + 10. Put m, -5, -4 in increasing order.\nAnswer: m, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) 1.3 (c) 3\/4 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:28 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29223317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27307830 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 351\/555)*((-63)\/(-72) - 1) and 28\/11.\nAnswer: 16280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*g*l**3*m**3 + 231*a*g*l*m**3 + 3*a*g*l + 2*a*g*m - 2*a*m**2 - g*l**3*m wrt m.\nAnswer: -12*a*g*l**3 + 1386*a*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*w**2 - 552\/7 - 554\/7*w = 0. Calculate w.\nAnswer: -276, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 divided by -226?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334530 + 100211?\nAnswer: -234315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((-5428)\/(-295))*(-132)\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10*c - 205 = 0. Suppose 3*s = -2*p + 250, s - c = -p + 44. Does 28 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/130*(1 - 15\/9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -5\/6 (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000919 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 12*g + 16. Let i be l(-13). Suppose i*x = 7 - 10. Let h(c) = -29*c**3 - 2*c**2 + 1. Give h(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 22 = -2. Suppose -4*b - 110 = -d*m, 4*m + 2*b + b = 119. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*h - 2*h**3 - 59*h + h**2 - 1 - 2*h**2 in the form x + n*h**3 + f*h + l*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3557, 7842, 12877, 18662, 25197, 32482?\nAnswer: 40517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.31? (a) -5 (b) 1\/9 (c) -3 (d) -1 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 11\/(-1) - 3. Suppose u*w = 6*w - 10. Calculate the lowest common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:40 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 1\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -90641, -90620, -90577, -90506, -90401, -90256?\n\"Answer: c**3 + 5*c**2 - c - 90646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (40 - (-8 - (17 + -8 + -6))).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -14*j**2 + 136*j + 35. Calculate l(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32211*f + 3*p = 32212*f - 11, 20*f - 15 = 2*p + 379 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3 + -5 + 0. Let x(q) = q + 7. Let a be x(w). Solve a = -u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75*t + 1592*t**4 - 733*t - 502*t - 97*t**4 - 596*t wrt t.\nAnswer: 17940*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5617005 to the power of 1\/2, to the nearest integer?\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*o - 3*b + 9, -2*o - 4*b = 2. Let q be 6\/21 - 33\/o. Is (-9)\/((45\/(-24))\/q) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 + 112 = 23*r. What is the remainder when 1879 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 235 = v - 195, 3*f + v - 24 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133119, 133111, 133103?\nAnswer: 133095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187012?\nAnswer: 2, 7, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42\/12*(-8)\/28\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, j: 1, x: 3, c: 1, u: 1, p: 3}. Give prob of picking 1 p and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2352878.\nAnswer: 941151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27\/40 - -42271\/62920. Let r = 121081\/12584 - n. Let s = 1985 + -15933\/8. What is the common denominator of s and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205322 and 127097?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4214))\/(24\/344).\nAnswer: 2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4403.\nAnswer: 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -521 divided by 3079\nAnswer: -521\/3079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(288) - (sqrt(288) + -1*sqrt(288) + -4))**2 + (-5*sqrt(6)\/sqrt(3)*-1)**2 + -4.\nAnswer: -384*sqrt(2) + 4670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(190) - sqrt(190) - sqrt(190))\/sqrt(10)*3 + 4*(sqrt(2299) + 5 + sqrt(2299)*1))**2.\nAnswer: 3520*sqrt(19) + 147536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 555 = 5*q, 2*v - 6*v + 5*q - 447 = 0. Let s = 287 + v. List the prime factors of s.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -633420324 - 5?\nAnswer: -633420332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 406*r**2\/3 - 1703*r.\nAnswer: -r*(r + 13)*(r + 393)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/2 - 867*w + 163916 = 0 for w.\nAnswer: -1906, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 121 = -3*h - 2996, -3*q = 3*h - 8673. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1596.1 * 1.\nAnswer: -1596.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2204*k + 357455. Determine v(162).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 5*z, -4*y + 3*z = -0*z + 55 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-42696)\/(-628) - (-3177 + 3245)\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5 + 32 = 5*p, 2 = -4*k - 2*p. Let c(h) = h**3 + 2*h**2 - 3*h + 2. Let f be c(k). Solve 3*z = f*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4 - 13 - 798*s + 776*s. Let q be p(-18). Is q at least as big as 386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*f**3 - 205*f wrt f?\nAnswer: -1008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x + 12. Suppose q - 17 + 3 = 0. Calculate the remainder when i(-2) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/92 + 101\/828. Let f be (-1)\/(((-9)\/(-5))\/3). Put 0.1, f, z in decreasing order.\nAnswer: z, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2065 = 2*z, -5*z + 2*q = -z + 4118. Let n = 1754 + z. Calculate the highest common divisor of n and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.878889 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Suppose -5*i = -p - 44, x*p - 11 = -i + p. Let f = i - 2. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827243393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 18 (b) 6\/7 (c) 16 (d) 0 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = -0*t. Suppose 3*v = t*c - 4 - 44, 0 = 4*c + 2*v - 46. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60861.\nAnswer: 3, 20287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3074836 - 1.633?\nAnswer: 3074834.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 14671301*n + 215247073032601.\nAnswer: (n + 29342602)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*t + 40*t + 87*t - 25*t + 1 to the form n + x*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n**2 + n**2)*(47 - 85 - 69)*(3 - 8 + 1) - 4*n**2 - n**2 + 6*n**2.\nAnswer: 857*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l - 1. Let h(b) = 11269*b. What is h(j(n))?\nAnswer: -67614*n - 11269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -2 (b) 689 (c) -4 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k**2 - k**2 - k**2)*(1 - 1 - 3*k) - 70*k**2 + 94*k**3 + 70*k**2)*(3 + 4 - 5)*(15 + 3 - 4).\nAnswer: 2716*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4182*t + 1571*t + 988*t + 1550*t.\nAnswer: -73*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let o(h) = 612716680*h**2. What is o(g(b))?\nAnswer: 612716680*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -541 (base 8) to base 10\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000012064382 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7975 - 95*q - 4090 + 94*q as l + o*q and give l.\nAnswer: -12065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1190cbb (base 14) to base 6\nAnswer: -500213113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -2)*(-1 + -5). Let o = -9 - a. Calculate the highest common factor of o and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 7889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -10415, -3, -12 in decreasing order.\nAnswer: 3, -3, -12, -10415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9723073 + -9723073.41999884. Let h = 0.42 + m. What is h rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4247.6422 to the nearest ten.\nAnswer: -4250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100111010000001000110 (base 2) to base 14\nAnswer: 256a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9*c**2 - 3*c - 12. Let w be l(-4). Suppose 5*h + 105 = -o - 79, h = -2*o - 404. Let d = w - o. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11463462.3 to the nearest one hundred thousand.\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101000010100 + 10111100?\nAnswer: 10110101011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + s - 2 - 15, 0 = -5*w - 4*s + 13. What is the lowest common multiple of w and 1\/(-2)*-2*9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -642 and -132.04173.\nAnswer: -774.04173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 4:22 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 8103*y**3 - 4037*y**3 - 3972*y**3 + (0*y - 2*y**2 + 0*y)*(-2*y + 4*y - 3*y).\nAnswer: 96*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6144765*m = -6144688*m - 1694 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and 14941.\nAnswer: 14941.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 10:35 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*s - 23*s - 50*s - 5*q = -134, 4*s - 139 = -5*q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177 - 174. Suppose a - 5*j + 6 = 23, 0 = x*a + 5*j - 31. Solve 3*r + a = -0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 515\/388 + 7\/1164. What is the smallest value in d, 0.3, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -61, -91, -123, -157?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 2 + 7*y + 3*y**2 + 2 - y. Let m be g(-4). Calculate the lowest common multiple of m\/(-10)*20\/(-3) and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0065423 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/28878933?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 8. Let f(z) be the first derivative of -135 - 19 + 1 - 24 + 2*z**3. Give c(f(t)).\nAnswer: -18*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w - 1. Let x be m(-5). Let i(u) = -u**2. Suppose a - 13 = 3*b, 9*b + 3*a + 0 = -15. Let n(f) = -3*f**3 - 3*f**2. Give b*n(s) + x*i(s).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/5*25\/10. Calculate the highest common divisor of 22 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1695 + 171 = 127*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 12112?\nAnswer: 12114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/27 - 40\/(-18). Suppose -b*p + 160 + 162 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152503, 305155, 457807?\n\"Answer: 152652*t - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l - 2. Let b be (0 - 12\/(-9))*6\/(-4). Let w(p) = 3*p - 5. Let h(z) = z - 2. Let i(y) = b*w(y) + 5*h(y). Give -12*i(n) + u(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 335391763 to the power of 1\/3, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3250 - -3255. Calculate the least common multiple of p and 251.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o. Let v be i(-1). Suppose 0*p + 4 = -p. Let h = p + 8. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1377535077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 26978*a**2. Let o(n) = -15*n**2. What is o(v(z))?\nAnswer: -10917187260*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -v - 221, 3*v + 47 = f. Let u = 53 - f. What is the common denominator of ((-10)\/u - -1) + 37380\/(-8640) and 45\/52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 1193*y**4\/6 + y**3\/3 + 17*y**2\/2 - y - 1372. What is the second derivative of w(c) wrt c?\nAnswer: 4772","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1420800038?\nAnswer: 2, 7, 101485717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18078.08623 - 18078. What is q rounded to 3 dps?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118201 divided by 6953?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 7:02 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p + 409 - 109 + 240 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4189, 16861, 38015, 67651, 105769, 152369?\n\"Answer: 4241*o**2 - 51*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**4 + 13*a**3 + 5*a**2 - 3*a. Let o(y) = y**3 + y**2 + y. Let i(p) = 5*o(p) - x(p). What is the second derivative of i(z) wrt z?\nAnswer: -12*z**2 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-three fifths of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((2 + sqrt(432)*2 - ((sqrt(432) + 2)**2 + -2)) + (2*(-2 + sqrt(432))*5)**2).\nAnswer: -9648*sqrt(3) + 86340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 30 + 27 = -5*v - 15 - 28, 2*j - 41 = -3*v for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -107133 = -107105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b = 68*b - 23*b - 4*q - 10, 7*b = -2*q + 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.01. What is the smallest value in p, -2\/3, 2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1363*i**4 + 3527*i**2 + 6*i + 3. Let c(s) = 1360*s**4 + 3527*s**2 + 4*s + 2. Let j(y) = -2*b(y) + 3*c(y). What is the third derivative of j(w) wrt w?\nAnswer: 32496*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1943*g + 1945*g - 77548 = 0. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2294)\/111*(-6)\/(-4). Let v be 39 - (1 - 2)*-1. Let p = o + v. Which is smaller: p or 23\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5, -0.1, -71 in increasing order.\nAnswer: -71, -7, -5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(931)*5)**2 - sqrt(133)\/(sqrt(28) + sqrt(28)*1 + sqrt(28)).\nAnswer: -sqrt(19)\/6 + 23275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2101448 is divided by 610?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -29) + -142 + 134\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.4 + 15. What is the second biggest value in 2\/7, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -294*y**4 + 467*y**2 + 3*y - 9. Let s(r) = -r**4 + r**2 - r + 3. Let a(n) = -q(n) - 3*s(n). Find the third derivative of a(c) wrt c.\nAnswer: 7128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1926 and 1136 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7491, -15045, -22599?\nAnswer: -30153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-1 - 24 - (-261 - -249)) + (10 - 2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*13146\/17199 - 38 - -22?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14039 - 14036. Solve t = 111*f - 107*f - 12, -v*f + 9 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15981818 to the power of 1\/2, to the nearest integer?\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 60*t**2 + 241*t + 6. Let h be l(-4). Put h, 1, 4, 3, 11 in ascending order.\nAnswer: 1, h, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(1\/2)*s))**(-27))**30 assuming s is positive.\nAnswer: s**1215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -1 + (-3)\/1. Suppose 3*x - 4*f - 1 = 0, -4*x - f - 5 + 0 = 0. Let g be x\/(-2)*n + -2. Put 3, 0, g in descending order.\nAnswer: 3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 3*m - 3*m)*(4*m**3 + 3*m**3 - 6*m**3) - m**5 + 0*m**5 + 2*m**5 + m + 2*m**5 - m - 5*m**5 + 5*m**5 + 2*m**5 - 74 + 96 + 38 - 2*m**5.\nAnswer: 4*m**5 + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -l - 2*g, 0 = -4*l + 4*g - 0*g + 28. Suppose 5*x + 47 - 12 = 0. What is the tens digit of (l + x - 0)*-19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 0, 64*u + 32 = 4*n + 173*u - 61*u - 63*u for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*m - 1618 + 6438 = -52*m - 5383 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1868, -7448, -16556, -29036, -44732?\n\"Answer: 26*u**3 - 1920*u**2 - 2*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6153446 + 17*m**2 - 24*m - 6153446)*(40*m - 5*m - m).\nAnswer: 578*m**3 - 816*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41\/4 at most as big as 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3725 + 3464.68. Let k = -253 - c. Let b = 7.3517 - k. What is b rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.25 - 12.25. What is the closest to b in -2, 2\/5, -26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*4012\/(-94). Let y = -827 - -116606\/141. Let q = y - p. Find the common denominator of q and 53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/(-8) - -6)*(-26)\/(-4). Suppose 2*w + 3729 = v*w. Suppose 233 + w = 4*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)\/(sqrt(7) + sqrt(7)*-4))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*((-6)\/(-1))\/12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 324, 480, 636?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-11856)\/(-3306))\/(-8)*-29\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2967? (a) -0.6 (b) 9 (c) -2\/11 (d) 4 (e) -42\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.099 - 0.099. Let h = 233 + -289. Let x = h + m. Which is the closest to -0.1? (a) -1\/9 (b) x (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31132 + -112?\nAnswer: 31020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 18900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 13 + 0*y + 1\/10*y**5 - 1\/6*y**3 + 3\/4*y**4 - 3\/2*y**2. Suppose w(n) = 0. Calculate n.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1.5 (b) 3 (c) -5 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. Suppose 2*c + p*c = 0. Put 5, 4, c in ascending order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 583 + -582.759. Let k = a + -0.197. Put 5, k, -0.4, 0 in decreasing order.\nAnswer: 5, k, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, 57, 491, 1099?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 10*f**2 - 14*f + 11. Calculate the least common multiple of s(7) and 410.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - 3*u**3 + 5*u**2 + 2*u**3 - 3*u**3 + 3. Let o be d(4). Solve -c - 5*r = c - o, -r = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852 = 37*u + 815 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2832 - -2877. What is the greatest common divisor of g and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149030109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)\/n*n)**(-5\/13)*n**(2\/7)\/(n\/n**(-1\/6)*n) assuming n is positive.\nAnswer: n**(-1055\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 128*z**2 - 13320*z + 453600.\nAnswer: -2*(z - 140)*(z - 90)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -35*r + 33*r. Solve f - r*y = -2*y + 4, -4*f - 5*y = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6\/(-2) - -13. Let l be (-5)\/((-20)\/o) + -1. Suppose b = -t + 21, 3*b + 2*b + 3*t - 105 = 0. Calculate the greatest common divisor of l and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*i + 3*n = 106*i + 10809, 2*i - 10804 = 2*n. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 13*a**3 - 49*a + 8*a**3 - 17*a**3.\nAnswer: 4*a**3 - 3*a**2 - 49*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5775, -11040, -16305, -21570?\n\"Answer: -5265*s - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 2*w**6\/75 + 4*w**5\/25 + 4*w**4\/15 + 11*w. What is p in z(p) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8112\/11 - -738. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 570 - 554. What is the closest to 0 in -5, 0, w, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25479 is divided by 25438?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049 to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327 >= 74581\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 94. Calculate the smallest common multiple of 42 and v(22).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -464 divided by -4.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**4 - 3*f**4 + 4*f**4)*((2*f + 0*f - 4*f)*(1 - 1 + 2) - 2*f + 5*f - 4*f - 2*f - 2*f + 2*f + 4*f + 0*f - 3*f - 5*f - 2 + 2 + 41*f + 47 - 47).\nAnswer: -120*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 - d**2)*(3 - 3 - 2)*(-9*d + 21*d + 14*d)*(-2 - 2 + 3).\nAnswer: -156*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - sqrt(130)*2)*6 + ((3*(sqrt(130) - sqrt(130)*3) - sqrt(130)) + sqrt(130) - sqrt(130)))\/((sqrt(70)*1*-6)\/(sqrt(847)*-1)).\nAnswer: -143*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 9 - 12*m + 3*m - 3*m + 3*m**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aslcffcfcfffc. Give prob of picking 1 c, 1 f, and 1 l.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 671677603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 282\/94 + (-8)\/(-1) - 31\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70\/67 or 2?\nAnswer: 70\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806660 is divided by 201057?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.845*-0.038\nAnswer: 0.07011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - (-60)\/(-8))\/((-3549)\/442 + 8). Let j be ((-1)\/(1\/(-4)))\/(-1). Sort 3, j, c in decreasing order.\nAnswer: c, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 484*z**2 + 275 - 455 - 326*z**2 wrt z.\nAnswer: 316*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -7*p + 3. Let x be (-1 - (p + 0))\/2*-6. Solve -6*s = -x*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -15. Let q be 6*25*(-6)\/(-7). Let x = q - 129. Is x smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/747 and 31\/200196.\nAnswer: 200196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + u - 216 = 5*a - 256, 3*a = 62*u + 89 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**7\/105 - 127*j**4\/24 + 29*j**3\/3 - 57*j**2 + 4. Find the first derivative of a(z) wrt z.\nAnswer: 8*z**3 - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492944462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-7 - 6 - -5) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5172*i - 21462 = -4878*i for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.15 (b) -2 (c) 1\/5 (d) 66 (e) -1\/10 (f) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 25. Calculate the remainder when 49 is divided by c(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12\/13 (b) 33 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 9:19 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1138425889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(4*sqrt(9)) + (-2*sqrt(12) + sqrt(12))\/sqrt(6))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -381 - 440. Let w = k - -683.9. Round w to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 38. Let j(z) = -z**3 + 3*z**2 + 4*z - 1. Calculate j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/12 + t**3\/6 + t**2\/2 - 2*t. Let u be x(1). Suppose 6 = -2*j, y + y + 3*j = -5. Solve z - u - y = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 - -2dbd?\nAnswer: 2d5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11261 - 11258. Let w be 2*2\/(-4)*-1. Solve g - w = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 75168240.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4951*p + 6241*p = 25800 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, -97, -380, -879, -1666, -2813, -4392, -6475?\nAnswer: -9134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -39039.\nAnswer: 5\/39039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -13*x - 7, -5*s + 15*s - 9*s = 2*x - 4 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -12, g - 4*m - 12 = -3*g. Suppose -f = g*c - 2*c - 241, c = 5*f + 43. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -778*y - y**2 - 31*y**3 + 778*y + 10*y**2 in the form z + v*y**2 + p*y + u*y**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((8 + 4 - 0) + -3) - -42?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9255746?\nAnswer: 2, 4627873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 16. Let k(r) = r**2 - 6. Let l(p) = -3*j(p) + 8*k(p). Let x(f) be the third derivative of -7*f**4\/8 - 3*f**2. Calculate l(x(s)).\nAnswer: 882*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 109*m**7\/42 + m**3\/2 - m**2 + 48*m. What is the second derivative of d(j) wrt j?\nAnswer: 2180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**3 + 12*v**2 + 4*v + 2. Let m(y) = 6*y**3 - 12*y**2 - 5*y - 2. Determine -4*m(h) - 5*w(h).\nAnswer: h**3 - 12*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((30013 - 817*a - 30013)*(3 - 4 + 0) - a - 3 + 3)*(-1 + 1 - a**3) - 3 + 4 - 2*a**4 - 2*a**3 - a**4 to d*a**4 + n + w*a**2 + h*a**3 + b*a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + -0.14. Let p = n + 0.0000046. Round p to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 2867.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 5*n**2 - 6*n - 5. Let b = -191 - -192. Let c(x) = x + x**2 + 1 + x + 0*x**2 - x. What is b*k(o) + 6*c(o)?\nAnswer: -o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74115 + -37021. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, -58, -2, -5, 5 in ascending order.\nAnswer: -58, -5, -3, -2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 511, 556, 631, 736, 871?\n\"Answer: 15*v**2 + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 a factor of 22258434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/12 - 2*i**3\/3 - i**2 + 2*i. What is the smallest common multiple of 6 and w(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p + 2*p**3 - 462*p**4 - 9*p + 461*p**4 to a*p**3 + w*p + o*p**2 + c*p**4 + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:14 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**7\/84 + n**6\/120 + n**5\/30 - n**4\/12 - 5*n**3\/3 - 1. Let d(t) be the third derivative of g(t). Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/7 - (42 + -70)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(112)\/(sqrt(2) - sqrt(2)*-1))\/(sqrt(84)\/(sqrt(1728) + -2*sqrt(1728) - sqrt(12))) + 2.\nAnswer: -13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 19*z**2 + 48*z - 9. What is the tens digit of o(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from yemiyi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**2 + 147*p + 75.\nAnswer: -3*(p - 25)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12699202441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - 50.2806518?\nAnswer: -115.2806518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550769454 to the nearest integer?\nAnswer: 23468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/8)\/(2265\/604)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = 11*t - 29715. What is the remainder when t is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 20 = -0*v + v, -4*v + 3*r - 12 = 0. Is v > -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/4)*o*o)\/(o**(1\/5)*o*o))\/((o**(-5)*o)\/o**(-15)) assuming o is positive.\nAnswer: o**(-199\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 7. Does 3 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 358949 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t - 958 = 19*t - 28*t - 778 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 7*m = 2*m + 113, -3*t = -5*m - 68 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s**2 + 72*s + 127. Let k(l) = -2*l**2 - 18*l - 31. Let n = 227 - 221. Let r(p) = n*h(p) + 22*k(p). Suppose r(w) = 0. Calculate w.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 - -218. Factor j**4 - 2*j**2 + 0*j**4 + 6*j + 5*j**2 - i*j**3 - 4*j**2.\nAnswer: j*(j - 6)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1003 - 993. Solve 30*t - 25*t = -a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + (-236)\/40)*(-193)\/(-2). Let u = -63\/10 + y. Find the common denominator of u and ((-9)\/30)\/((-36)\/1065).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t - 8 + 5*t + t - 6. Calculate the smallest common multiple of 4 and n(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12594 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -17*d - 13138506. Let u(y) = y**2. Determine x(u(f)).\nAnswer: -17*f**2 - 13138506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2)\/(k**(-3)*k))**(-3\/2))**(-1\/36))**(-19) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 7*u + 7. Let r be l(5). Let q be r\/(-4 - -1)*4. Suppose q*m - 6*m = -20. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 8. Suppose 5*c - 3*c = -3*f + 6, -f - 26 = -4*c. What is the tens digit of s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 36 + 6. Let l(a) = 0*a + 2 - 8 + 3*a - 5*a + 3*a**2. Let j(c) = 1. Let m(h) = p*j(h) + l(h). Find the second derivative of m(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((56 - 75) + (0 - (-8 - -3)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - 3*x)*(3*x - 2*x + 3*x)*(2 - 4 + 0).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -318 - -317.994978. What is t rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86*f**3*j + 27247740*f**3 + 448287*f**2*j**2 wrt j?\nAnswer: -86*f**3 + 896574*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8 = -5403*j + 5402*j, 4*z + 3*j + 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 27*q**2 + 88. Let h be s(26). Let x(w) = 219*w**2 - 5*w + 2. Let c be x(3). Suppose -c = -2*p + h. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-17)*r**(-19)*r*(r**(-4\/3))**(-46) assuming r is positive.\nAnswer: r**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5811*q**4 + 125*q + 5.\nAnswer: 69732*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -11*f - 6. Let c(a) = 1040 + 1056 - 2095. What is 4*c(t) + n(t)?\nAnswer: -11*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*2\/6 + 1. Suppose 0 = k - 4*n - 28, d*k - 8 = 3*k + 5*n. Calculate the greatest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 2 (c) -187.1 (d) -2\/13 (e) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*v + 8*v. Suppose -5*p = -0*p - 50. Is 8\/p*(-25)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 102.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 153905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -720, -1522, -2324, -3126?\nAnswer: -3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753 = 35*i - 128 - 30 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3657405 and 236037?\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5928818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -758\nAnswer: -4\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (117\/(-12))\/((-132)\/176)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 5. Let f = v - -9. Suppose f*h - 5196 = -j, 3*h + h + j - 10396 = 0. What is h rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 28. Let h = 11 + t. Let a(l) = -15*l - 3. Does 21 divide a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) -2\/11 (c) 0.7 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:27 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 22 = -4*k - 153, -4*x = k + 30. Round k to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1100 + 1100 + 2*g**3 + 114*g**4 - g**2 + (g + 2 - 2)*(0 + g**3 + 0).\nAnswer: 115*g**4 + 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338862 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 4*m**2 + 4*m**2)*(2 - 3 - 1) + 113*m**2 + 1457*m**2 + 317*m**2 + 455*m**2.\nAnswer: 2346*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12031124 - -5422?\nAnswer: -12021302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = b - 109, -47 = -5*s + b + 96. Suppose -4*r - 12 = -c, -5*r = -0*c + 2*c + s. Sort c, -0.06, -6 in descending order.\nAnswer: -0.06, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90.18+16063\nAnswer: 15972.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 4276*w + 1519679. Give i(676).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrswtrieesr. What is prob of sequence iew?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1226 - -1374. Let f = -5 - -8. Let j(u) = 3*u**2 + 3. Calculate the remainder when v is divided by j(f).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -45300.9 to the nearest 100.\nAnswer: -45300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 7:58 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 157*k**3 - 8*k**2 - 4*k + 3. Let b(j) = 314*j**3 - 14*j**2 - 7*j + 5. Determine 4*b(y) - 7*u(y).\nAnswer: 157*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -849.49 and -0.2.\nAnswer: 169.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81860 is divided by 6293.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w. Let a(u) = -28712191*u. What is a(i(n))?\nAnswer: -488107247*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o = 34*o + 24. Let s be (-6)\/(-9)*(8 - 2). Suppose 2*w = o*w + i + 71199999, s*w = 3*i - 71200003. What is w rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 487\/1298 + -1\/5192. What is the closest to o in 1, 0.1, -7, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3))**(-28)\/(m**(-2\/5)\/m*m)**(3\/20) assuming m is positive.\nAnswer: m**(-1391\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.6 in -6, -1\/4, 15\/4, 0, -130?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*g - 11*d**3*g + 14*d**2*g - 275*d**2 - g wrt d.\nAnswer: -48*d*g - 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l - 2*l. Let x = 90.09 + -85.09. Which is the closest to l? (a) x (b) -6\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-10) + (-12)\/(-60))\/1. Solve 4*k - 5*u = -11, r = 5*k - u + 2 - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.484, -2\/5?\nAnswer: 0.484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3147 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21416 + -4554?\nAnswer: 13532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.9? (a) 3 (b) 20 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b - 1. Let u(h) = -7*h + 1. What is 4*j(i) + 3*u(i)?\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k + 72*k - 26*k)*(-5 + 1 + 2).\nAnswer: -112*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -988 - -1000. What is the hundreds digit of 3818\/y - (-5)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 3*w**2 - 2*w + 5*w - 12. Does 27 divide h(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 9*q**2 + 7*q + 3. Let a be j(-8). Let v = -39 - -72. Calculate the highest common factor of a and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**3\/3 + 7*b**2\/2 + 3*b + 2097. What is f(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 42678.\nAnswer: 1\/7113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*x - 32*x - 4 + 46*x + 4.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**3 + 4*h**2 + 13*h - 38. What is the smallest common multiple of 4 and z(3)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x + 12*x + 0*x**2 - 6*x**2 + 23*x + 15*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 46, -1396, -5, 7, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -35*h**2 + 37*h**2 - 3*h + 3*h. Let d be (-44)\/(-4 - (-3 + 0\/(-5))). Let g(m) = 2*m**2 - d*m**2 + 7*m - 7*m. Give g(r(v)).\nAnswer: -168*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*r - d + 2*d, -3*r - 20 = -5*d. Let l be 8*-1 - (r - 3). Sort 1, -2, l in decreasing order.\nAnswer: 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2998*i - 2995. What is s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-585)\/(-75))\/(18\/30).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345654.6 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -80*60928\nAnswer: -4874240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-6))\/((-140)\/252).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -630 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xck when three letters picked without replacement from {m: 3, c: 4, x: 5, t: 1, a: 2, k: 5}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 20*z + 24*z + 295 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13371048 by -1854.\nAnswer: 7212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 12*l**2 + 65*l + 21. Let g be h(-16). Solve -t + 7 = -c, g*c - 1 = 2*t - 6*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**6\/30 - f**5\/20 - 3*f**2. Find the third derivative of a(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 225 = -0*s + 5*l, 3*l + 89 = 2*s. Calculate the remainder when 90 is divided by s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4 + 378*w**3 + 4227*w**2 + 14148*w + 14364 = 0. What is w?\nAnswer: -114, -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-12) - (-46)\/6. Let o be (1696\/6)\/(j\/(-1500)). What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4102*f**2. Let x(k) be the second derivative of k**3\/3 + 9*k - 248. Determine x(b(l)).\nAnswer: -8204*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3\/3 + 14836*v**2 - 3000832*v\/3 - 3134320 = 0.\nAnswer: -11194, -3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2484 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 61\/(-3)*27\/(-9). Suppose -5*r + s = 4*n, 4*r - 42 = r + 3*n. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13248153 by -9.\nAnswer: 1472017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -90, 0.5, -0.3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4281, 4117, 3953, 3789?\n\"Answer: -164*h + 4445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123219 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644255681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1511 at most -1446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 + -172. Suppose 0 = 3*u + 5*i + 10 - 53, -2*i + 14 = u. Is u greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330867202 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and 379.\nAnswer: 379.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2*a)\/a**(-5))\/(a\/(((a\/(a**(-2\/9)*a))\/a)\/a*a))**(3\/5) assuming a is positive.\nAnswer: a**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + d = -0*d - 21, 2*m + 14 = 5*d. Suppose 4*r - t - 6 + 21 = 0, -4*r + 3*t = 5. Let z(k) = -10*k + 6. Let o(c) = 7*c - 4. Calculate m*o(s) + r*z(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/21)\/((-2)\/(-3)). Let o(p) = p**3 - 5*p**2 - 6*p + 4. Let r be o(6). Put m, r, 3 in descending order.\nAnswer: r, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - 0.39. Let j = 1312067\/12 - 109339. Sort j, -2, a in ascending order.\nAnswer: -2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15)\/(-13*7\/273).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15538 divided by 3\nAnswer: -15538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20803.\nAnswer: 71, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3 + 4 + 1)*(1 - 1 - 2*h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -178.4?\nAnswer: -17.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i*k**3 - 3*i*k**2*y + 115*i*y - 269*k**3*y + 2*k**2*y + y + 2 wrt k.\nAnswer: 18*i - 1614*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6423270 (base 8) to base 9\nAnswer: -3201855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + -2 + sqrt(567) + sqrt(567) + 1 + (sqrt(567)*-2)**2 + 4 - (0 + (1*sqrt(567))**2 + 0 + sqrt(567)).\nAnswer: 18*sqrt(7) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2781608, 2781472, 2781336?\nAnswer: 2781200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:35 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 142 + 52)*(2*y**2 - 2*y**4 - 2*y**2) to c*y**4 + w*y**2 + f*y**3 + h + t*y and give c.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/117 and 59\/2080?\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67966 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38204635?\nAnswer: 5, 7, 1091561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u + 5 + u**3 - 6*u**2 + 3*u**2 - 3. Let z(y) be the first derivative of -3*y**4\/4 + 8*y**3\/3 + 4*y**2 - 6*y - 1. Determine 8*f(j) + 3*z(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 2*l + 2. Let c be o(-2). Let i be 49\/3 - (-8)\/(-6). Solve h - i = c*f, 0 = -h - 2*f - 2 - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1798*o - 160128 + 63036 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 5 + (-4 + 1 + 5)*(-3 + 1 + 0) - 2 + 2 + 2 - 1 + 3 - 3 + 5 - 3 + 1 - 192 - 199 + 165)*(-10 + 5*s + 15 - 6*s) to the form j*s + a and give j.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1123553\/9 - -124984. Let d = 145 - r. Let a be ((-4)\/(-2) + -3)*-1. Are a and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3737, -44, 5.\nAnswer: -44, 2, 5, 3737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 2. Let z(h) = h. Let i be 2*2\/(-5 + 1). Let s(u) = -6*u + 3. Let w(k) = i*s(k) - 5*z(k). Let p be w(-3). What is f(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 15 + 19*d**2 - 26 + d**3 + 21. Is r(-19) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 36, -41, -1003\/21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -198923*i. Let c(h) = 190*h**2. Determine c(p(t)).\nAnswer: 7518368386510*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -738 divided by -9.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3435 + -2044. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 2\/5, 44, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 - -7283?\nAnswer: 72b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-765)\/(-60) + -13)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 + 252*o**4 - 244*o**3 - 752*o**2 + 246*o + 500 = 0.\nAnswer: -1, 1, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 139, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 72, 577, 1910, 4479, 8692, 14957, 23682?\n\"Answer: 68*f**3 + 6*f**2 + 11*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9361585 divided by 5.\nAnswer: 1872317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 + 63*c**2 + 309*c\/2 - 990.\nAnswer: -3*(c - 44)*(c - 3)*(c + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let d be 4*(-15)\/24*80\/(-4). Let k(a) = 24738 - 24738 - d*a**2. What is t(k(n))?\nAnswer: -5000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48185160.\nAnswer: 2, 3, 5, 31, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(2755\/38))\/((-4)\/(-90)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u + 0*u)*(-834*u + 834*u + 6*u**3) + u**4 + 0*u**4 + 8*u**4.\nAnswer: 21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 164886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-25)\/20 + 1)\/1. Which is the nearest to 3? (a) -2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 at least 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5707164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4414030 (base 6) to base 4\nAnswer: -311230002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.33 - 0.26312636.\nAnswer: -0.59312636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -85\/2. What is the second smallest value in t, -4, 5, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*(-9)\/1 - 1. Suppose u*k = -2*w + 12, -w = 5*k + w - 42. Suppose -632 = -k*t - 32. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -27*o**2 + 20*o - 49. Let q be x(4). Let p = -386 - q. Solve -5*g + g + 14 = 5*b, -5*g = 5*b - p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 486409661 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72012 is divided by 23977.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*b + 47, -b - 25 = 4*p + 3. Let w(m) = -m**2 - 6*m + 8. Let r be w(b). Let o = r - -19. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgjjcjgggo. What is prob of picking 3 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**6\/180 + f**3 - 24. Let i(y) be the third derivative of o(y). Let m(z) = -2*z. Calculate i(m(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5177376 is divided by 1035418.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5 = 0, -25 = -2*u + 2*c - 5*c. Suppose -4*g + 97 = 3*y, g - u*y + 10*y - 20 = 0. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -z, 4943*w + 4*z = 4946*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89010 and 70739214?\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, x: 2, r: 1, c: 2}. What is prob of sequence xccx?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1242c + f?\nAnswer: 1243b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123417 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/5*6\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -55 - ((120 - 90) + -82)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 11296070*c**2 + 6379913020800*c - 165885374772000.\nAnswer: 5*(c - 26)*(c + 1129620)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 585\/117*(-14)\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*a = 296, 2*o = -a - 3*a + 224. Let j = o - 48. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21763335 equal to 21763332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**10\/240 - a**6\/90 + 28*a**3\/3 - 23. Let g(t) be the third derivative of m(t). What is the third derivative of g(r) wrt r?\nAnswer: -2520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-361)\/(-11) + (-26)\/(-143). Calculate the highest common divisor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3583.34173 rounded to the nearest integer?\nAnswer: 3583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607, 1202, 1785, 2350, 2891?\nAnswer: 3402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692371.3 centuries to months.\nAnswer: 830845560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.88248ml to litres.\nAnswer: 0.03288248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-21 + 14) - (-4 + 1 + 7 - -53)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2603\/17810 - 1\/1 and 91\/128?\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/30 - g**4\/8 - 2*g**3\/3 + 22*g**2. Suppose t + 2 = -4. Let o = t + 9. Give f(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80990 at most -80990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255 or -525?\nAnswer: -525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 4*f**3 + 2*f**3)*(3*f**2 + 2 - 2).\nAnswer: 21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**3 - 5*a**2 + 5*a. Suppose 3*o + 0*o - 23 = 4*l, 4*o = 4*l + 24. Let x(k) = 4*k**3 + 4*k**2 - 4*k. Give l*x(w) - 4*g(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(sqrt(300)*-2 - sqrt(300))**2.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2972*a - 99. Let i be q(27). Let x be (i\/(-156))\/(6\/16). Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148892 * -0.2653\nAnswer: -39501.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42173 and 543.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 5, y: 2}. Give prob of picking 1 y and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + d = 50, -5*d - 7 + 14 = a. Let c be (-1 + (-13)\/(-4))*36\/a. What is the third derivative of 21*f**6 - c*f**2 + 3*f**6 + 19*f**2 wrt f?\nAnswer: 2880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -133 (c) -242 (d) -6 (e) 3 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146272*f**3 + 74409*f**3 - 35656*f**3.\nAnswer: 185025*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s - 68 = 0. Let f(l) = l**2 + l + 3. Let m be f(-7). Calculate the remainder when -11*-1*m\/5 is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 26. Let q be o(12). Factor 7 - 11*a - 8 + q*a**2 - 5*a + 33.\nAnswer: 2*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-44)\/6)\/((-4)\/18) is divided by ((-3534)\/124)\/(6\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 88606654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/304000*80*5\/(-3).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/3)\/((-21320)\/120 - -178).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnhn when four letters picked without replacement from {n: 9, h: 11}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 19*y + 6. What is d(-14)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -63*d - 24755. Determine o(-393).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 5*t + 16. Let z(h) = 2*h - 24. Let w be z(12). Let n be m(w). Solve -2*i - 4*q - n = -0*q, -4*i = 5*q + 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -34*f**3 - f**2\/2 - 2*f + 1. What is the second derivative of o(m) wrt m?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 927 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 20*b**2 + 996*b + 158. Calculate l(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.06 - 6.86. Let l = 0.3 - 0.4. Which is the smallest value? (a) 0.5 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 85*k + 11 + 9 - 1.\nAnswer: 7*k**2 - 85*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3757 a factor of 2069881580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g - 142 - 193 = 0. Calculate the highest common factor of 32 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.998 - 42900397.984.\nAnswer: -42900392.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o - 2. Let t be ((-18)\/4)\/((-6)\/(-12)). Let g = -4 - t. Let f be m(g). Calculate the greatest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 15*v**4\/4 - 3*v**3 + 8. Solve q(a) = 0.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 19\/2*a**2 - 229\/4*a - 1\/4*a**3 = 0. Calculate a.\nAnswer: -31, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -792*i**2*z**3 - 2*i**2 + i*z**3 - 205*i wrt z.\nAnswer: -2376*i**2*z**2 + 3*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44226, -87071, -129916, -172761?\nAnswer: -215606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 178984708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 + 32*x - 6. Let r be g(14). Suppose 47*q + k = r*q - 64, k + 18 = q. What is the remainder when 75 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 6*w = 56*w - 5250. Solve -10*z = -0*z + w for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -12.7. Sort y, 4, 3.\nAnswer: y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-12\/13)*((d**(-1\/3)\/d)\/d)\/((d*d**0)\/d) assuming d is positive.\nAnswer: d**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24157.\nAnswer: 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.559 - -2.7599. What is x rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 + 12*v + 8. Let b(w) = -w**2 - 1. Let z be b(2). What is the remainder when g(z) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*f + 2*c - 11, -3*f - c = -53. What is the greatest common divisor of f and 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -4)\/(-2*1). Suppose 4*r - 572 - 352 = u. Suppose -3*y = -9 - r. What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 84.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwt when three letters picked without replacement from ttwcwwttwtttwwt.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17995 and -1.39.\nAnswer: -25013.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -15452 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-12*s - 2 + 2 + (4*s - s - 2*s)*(0 - 2 + 0))*(-2*s - 3*s + 15 + 4*s).\nAnswer: -14*s**2 + 210*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5423 + 15144. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-3\/4)*m)\/m*m**(-1))\/(m\/(m*m**(2\/7)\/m)*m)**(-1\/5))**(-17))**(5\/14) assuming m is positive.\nAnswer: m**(-2601\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 147. Let n = 5893 - 5787.9. Let b = n - l. Round b to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 2*t**4 - 4\/5*t**5 + 4\/3*t**3 - 1\/3*t**6 - 3*t**2 + 13 + 0*t. Find m, given that p(m) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(sqrt(1900) + 1) - sqrt(1900) - (5 + sqrt(304) - (sqrt(2736) + 0)**2)).\nAnswer: -34*sqrt(19) + 2729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 439 - 152. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 747.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -96, -342, -822, -1614, -2796?\nAnswer: -4446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -906276 divided by -6.\nAnswer: 151046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/21)\/(984\/(-1722))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:46 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(946\/330)*2\/(-3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 z when four letters picked without replacement from dzdzdz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -168. Let q = -67 - j. Solve 3*p - n = -p - q, -3*p - 5*n = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a + 60. What is the lowest common multiple of a and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1833*m + 1832*m - 7686*m - 4*m**3 + 1835*m + 2186*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 476.904 tonnes in kilograms?\nAnswer: 476904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29890 + 2*t**2 - 3*t - 29890 + 3*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 3276918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 147 (b) 1 (c) 2\/21 (d) -15\/7 (e) -0.3 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1806329585 and 2.4?\nAnswer: 1806329587.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -47 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 + 194. Find the second derivative of 26*m + 6323*m**2 - x*m**3 - 6323*m**2 wrt m.\nAnswer: -384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**3 + 128*v**2 - 11*v**2 - 119*v**2 + 19 in the form r*v**2 + d*v + u*v**3 + k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 5, 404, 14, -7 in decreasing order.\nAnswer: 404, 67, 14, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/29, -5, 2454, -81.\nAnswer: -81, -5, 11\/29, 2454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let z = 0.4 - -0.6. Let n = -1 - z. Which is the closest to w? (a) n (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 - 0. Let m = 0.163414 - 2.064224. Let h = m + s. Round h to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 376, 695, 1014?\n\"Answer: 319*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*n - 13*n = -3*q + 18*n - 45, -7*n + 183 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2097, 2137, 2167, 2181, 2173, 2137?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101001110101111010 (base 2) to base 15.\nAnswer: -db1d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30161 + 3e?\nAnswer: 301a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 71112*n - 71112*n.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 4*s**2 - 2. Let a(j) = 3*j**3 - 11*j**2 + 6. Let v(f) = f**2 + 8*f + 7. Let t be v(-5). Determine t*c(w) - 3*a(w).\nAnswer: -w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - (-312)\/15 - 60237\/33465.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2164, 2256, 2334, 2392, 2424, 2424, 2386, 2304?\n\"Answer: -p**3 - p**2 + 102*p + 2064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1091637000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/5 + 13058*c\/5 - 26124\/5 = 0 for c.\nAnswer: -6531, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 5*c**2 + 4*c + 2. Let g be f(-6). Let l(o) = g*o + 16*o + 8 - 29*o. Is l(-3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 554 = -u, 4*u = h - 231 + 29. Calculate the remainder when h is divided by 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 6:41 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((1*12)\/(-4)). Suppose m = -0*m - 4*y + 2, 8 = 4*m + 4*y. Let w be (8\/(-12))\/(m\/(-5)). Which is the third biggest value? (a) w (b) -0.02 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + 99\/27. What is the first derivative of 0 + 3*x**3 - 4 + f*x**3 - 9*x**3 wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x + 4. Let c(r) = 5*r + 9. Let z(d) = 4*d + 6. Let f(k) = -5*c(k) + 8*z(k). Give 4*f(t) - 3*v(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*k + 31 + 23*k**4 + 36 - 67 wrt k.\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 9003*b - 71888. What is r(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*p - 38400000, p + n = -2*n - 19200000. What is p rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*f + 57 - 50, 1 = -5*s - 2*f. Which is the closest to -113? (a) 1\/6 (b) -0.16 (c) s (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38940504\/571 + -68197. Find the common denominator of z and -13\/10.\nAnswer: 5710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 10*n = 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - r = 28065, -17*k + 22*k - 28085 = 5*r. Calculate the greatest common divisor of k and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 606?\nAnswer: 6666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Let s = -2 - -7. Let t(w) = -2*w - 9 - 3 + s*w. Let v(g) = 1. Let a(n) = -t(n) - 12*v(n). Calculate a(u(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(2\/3 - (-2)\/6). Suppose c = 4*j - 7, 0 = 7*c - 3*c + p*j - 14. Solve -5*x - c = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 381*o - 6437. Calculate j(17).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13068 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3025, 3022, 3017, 3010, 3001, 2990?\n\"Answer: -b**2 + 3026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 206, 176, 124, 44, -70, -224, -424?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 - c**3 + 3 + 3*c**2 + 4 + 5*c + 5*c. Let t be u(9). Calculate the highest common divisor of 32 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2751579 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -16*b**2. Let l = 23997 - 23993. Let u(v) be the second derivative of 0*v**3 + 0*v**2 + 27*v + 0 - 1\/12*v**l. What is u(j(c))?\nAnswer: -256*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.1, -99, -296, 10?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.07, 4, -2\/7, -0.8, 12 in ascending order.\nAnswer: -2, -0.8, -2\/7, -0.07, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(363))**2 + -1*(sqrt(75) - (sqrt(75) - (sqrt(75)*-3)**2)).\nAnswer: -296 - 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (150\/(-60))\/(5\/(-4)). Let p be (-4)\/10 - (-36)\/(-10). Put 3, m, p in ascending order.\nAnswer: p, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-2))\/28*-4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -8*t. Let c(f) = 3*f. Let h(u) = -14*c(u) - 5*y(u). Let p be h(-2). What is the greatest common factor of p and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 + 69427*g\/2.\nAnswer: g*(g + 138854)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**2*o**3 + 2*m**2*o**2 + 15*m**2*o + 175*m**2 + 37*m + 4*o**3 - 399*o**2 wrt m?\nAnswer: 10*o**3 + 4*o**2 + 30*o + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c - c)*(-4*c - 3*c + 3*c)*(0 + 2 - 1)*(-29 + 3*c + 29).\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jivj. Give prob of picking 1 i and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - -10 - 25 - (1 + 28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 80*l - 876. Let r be j(11). Solve 5*m - 11 = -3*u, r*u + 3*m - 21 = 7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 2}. Give prob of sequence wy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -371, -372, -375, -380, -387, -396?\n\"Answer: -h**2 + 2*h - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 7*x**2 + 37*x + 30. Let s be n(-12). Calculate the highest common divisor of 54 and s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 888 = -50*w + 538. Let l(j) = -j**2 - 12*j - 16. Calculate l(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2747 = -q + 189, 5*q = f + 960. Let v = -491 - f. Let l = 190 + v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 3*n**4 - 8*n**3 + 2*n + 6*n**2 + 7*n**2 - 9*n**2 in the form f*n + j*n**3 + c*n**4 + y*n**2 + k and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3377825500371 - -0.4\nAnswer: -3377825500370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8332 - -4?\nAnswer: 4.8332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, 5, 70, 149, 236, 325?\n\"Answer: -x**3 + 16*x**2 + 4*x - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876227 is divided by 51522?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/7 - (-4)\/14. Let u = 15367 - 15367.5. Which is the nearest to 3? (a) u (b) 0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*3*(-9)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 1:11 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10 = -3*i, -52*d - 3*i - 16 = -47*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Suppose 2*l + m*c = 388, 960 = 4*l + l + 5*c. Suppose -o + 18 = -k - 4, 3*o = -4*k + 45. Calculate the greatest common divisor of o and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000910352 rounded to seven dps?\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2 + 2*k**2 + k + 4 - 3*k**2. Let n be h(0). Suppose -2*r + 12 = -d, r + n*r + 3*d = 0. Calculate the least common multiple of 6 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*x - 204*x = 461 + 1429. What is the remainder when 2133\/12 + (-2)\/(-8) is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.14196747 and -4.\nAnswer: 0.56786988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/14 - 735\/450.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/17? (a) -24925969 (b) -1\/6 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13565459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + -6*sqrt(78)*1)\/(sqrt(864) - 1*sqrt(864) - sqrt(864)) + 5 - -2*(0 + sqrt(325))*1*-3.\nAnswer: -355*sqrt(13)\/12 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-15))\/(13\/156*-4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*2*(sqrt(567) - (1 + sqrt(567)*-1)**2 - sqrt(567)).\nAnswer: -540*sqrt(7) + 17040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 + -254. Let n = k - -69. What is the second biggest value in 3, n, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.1 - -7.0999992. Round l to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*(sqrt(198)*-1)\/sqrt(11)*5)\/((sqrt(600) - (sqrt(600) - -1*sqrt(600)))\/((sqrt(4) - sqrt(16))*-3)))**2.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008017744 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -443226630 to the nearest one hundred thousand.\nAnswer: -443200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j**2 - 5 + 5. Suppose -s + 5*r + 14 = -13, -15 = 5*s + 5*r. Let f(g) = 21*g**s - 9*g**2 - 14*g**2. What is f(z(n))?\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 5*i**2 - i - 3. Let d be j(-5). Let q(g) = 114*g - 61*g - 58*g + 2. What is q(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*x + 25 = 0, -2*a + 3*x = -x - 40. Let u = a - 19. Let v be (-15)\/u - (-2)\/6. Put v, 4, -0.2 in descending order.\nAnswer: 4, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + 43. Suppose -88 = -3*o - o - z, -2*o + 2*z = -t. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3840393 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5280679805 from -4.24.\nAnswer: -5280679809.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 1037*o**4\/24 + 1621*o**3\/6 + o**2 + 231. What is the derivative of q(w) wrt w?\nAnswer: 1037","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-77) - (-11)\/(-21)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -234 (b) 4 (c) 1 (d) 48 (e) 0.2 (f) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -25*z**4 - 15315*z**3 - 2303645*z**2 + 12859035*z - 4774050 = 0.\nAnswer: -309, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/10))\/s*s*s*s*s\/((s\/((s\/(s\/(s**(-3)\/s)*s))\/s))\/s)*(s**0)**(-2)*(s*s\/(s\/(s*s**(-1))))**(-25)\/(s**(-2\/9)\/(s**3\/s)) assuming s is positive.\nAnswer: s**(-2257\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 81 = 0, 2*l - 607*f + 608*f = -23 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(2 - 4\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1176\/672*(-4)\/28*24\/(-123)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1709316 divided by 13566.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 4*j**2 - 3*j + 2. Let v be 1*(-9 - -3) + 5. Let m be f(v). Solve -6*b - m*b - 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -27*w - 64. Is w smaller than 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 40*y - 350. Determine m(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4) - sqrt(484)*3).\nAnswer: -sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:42 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 16*j - 3 + 0*j)*(2*j + 1 - 1)*(-2*j**2 + 3*j**2 + 6*j**2).\nAnswer: 224*j**4 - 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and -0.0242.\nAnswer: 9.9758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 21. Let d be c(17). What is the biggest value in 5, d, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k + 4*v, -2*k + 2*v = -6*k + 10. Solve f + k = -2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -7 + (4 + -5)*-17. Solve 22*k + 18 = r*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2 + 11103*h - 22202 = 0.\nAnswer: 2, 11101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*m + 26514 - 29573 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1449664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17371907 or -17371906?\nAnswer: -17371906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 80 = 4*v, 2*v - 84 = -2*v + 3*i. Solve 14*s - 10 = v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2602.3 - -2602.154. Sort -3, i, 9 in descending order.\nAnswer: 9, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232 = 4*o + b - 50, -4*b = -2*o - 100. Is -45 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let v(n) = 1661*n - 88. Give v(w(l)).\nAnswer: -3322*l - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*s - 18*s**4 + 31*s - 140*s**4 + 3*s**4 + 265*s**4 + (-7*s + 3*s + 3*s)*(2*s**3 + s**3 - 4*s**3) + 2*s - 2*s + s**4.\nAnswer: 112*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*y - 24, -2*m - 40 = 3*m + 4*y. Does 15 divide -3 + 6*53 - (-4 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27135 divided by -405.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 1\/5 (c) -2\/17 (d) 3 (e) 1\/125 (f) 206\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7))**(2\/123)\/(w**(1\/6)*w**(3\/10)))**48 assuming w is positive.\nAnswer: w**(-32464\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4 + 1 - 4 + t + 1601*t**3 - 1602*t**3. Let h(b) = -20 + 2*b**3 + 5*b**3 - 20*b + 18*b**3. Give -h(r) - 20*x(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 9:42 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 27*r**2 + r - 5. Let x be q(2). Let j = -91 + x. Calculate the smallest common multiple of j and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i\/(i\/(((i*((((i**(2\/45)\/i*i)\/i*i)\/i*i)\/i)\/i*i)\/i)\/i)))\/i*i)\/(i*i**(-17)\/i))**39)**44 assuming i is positive.\nAnswer: i**(412984\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 24*z**3 + 6*z**2 + 6*z + 6. Let w(v) = -49*v**3 - 13*v**2 - 13*v - 13. Determine -13*q(u) - 6*w(u).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -9*z**4 + 6*z**3 + z**2 - 6*z. Let k(c) = -c**4 + c**3 - c**2 - c. Let q(r) = -i(r) + 6*k(r). Find the third derivative of q(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2472*r = 3*z - 2458*r - 39, 0 = 10*z - 2*r - 276 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4488 divided by -4?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**5\/60 - j**4\/8 + 8*j**3\/3 + j**2 - 15*j. Calculate the least common multiple of 32 and x(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**2 - 4*d**2 + 24*d - 10*d**2 - 8*d**2.\nAnswer: 4*d**2 + 24*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138.61094 - 0.48006. Let k = -0.091 - h. Let z = -146.3 + k. Round z to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 3*w**5 - w**5 + (1 - 5 - 3)*(4*w**2 + 2*w**2 - 4*w**2)*(2*w + w - 5*w)*(11*w - w + 50*w)*(0*w + 4*w - 6*w) + 0*w**3 + 2*w**5 + 0*w**3.\nAnswer: -3357*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005183853593 rounded to 6 dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o - 48 = -3*h, 2*o = h - 19. Let g = o - -16. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*f - 2, -5*f - 173 - 187 = 3*s - 356 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2192182 divided by 57689.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 269672 at least 269629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and 367.3982.\nAnswer: 355.3982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239203455?\nAnswer: 3, 5, 29, 97, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlnn when four letters picked without replacement from {n: 18, l: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/l)\/(l**(-6)\/l)*(l\/(l\/(l**(-1\/2)*l)))\/l**(-1\/3) assuming l is positive.\nAnswer: l**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0902559 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 6:21 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12756\/29825 or 1?\nAnswer: 12756\/29825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3 + 4*sqrt(1008) + sqrt(1008) + 4)**2 + -1)*-3.\nAnswer: -75705 - 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 8*w**2 - 9*w + 2. Let c be j(-9). Let p(t) = t**2 + 0*t**2 - c + 1 - 2*t**2 + 4*t. Let u be p(3). Solve u = -v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 5:33 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 2\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0.5, -0.2, -63 in descending order.\nAnswer: 4, 2, 0.5, -0.2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1665 and 4551?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 3, 14837, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036.882 decades in months?\nAnswer: 124425.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 52. Let r = -9 - w. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q + q**2 + 4 - 5 + 4. Let p be x(10). Suppose 4*s = p*a + 161 - 432, 4*a = -s + 393. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + -2.9. Let w = -43 + 46. Let t be 27\/30 - (-3)\/(-6). Which is the closest to w? (a) t (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + -3 + 3 + -6 + -32. Let c = q - -72. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - v**2 + v + 9. Let o be z(0). Is 6\/o*3369\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294 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: Work out -9766506442.9 - -57.\nAnswer: -9766506385.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 20 = -16. Suppose -x*c = -179 + 177. Let h = 53061\/47 + -1129. Is c at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82020, 82002, 81964, 81900, 81804, 81670?\n\"Answer: -f**3 - 4*f**2 + f + 82024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 divided by 12?\nAnswer: -580\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1766741 and 454?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 12:59 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**7\/42 + c**6\/15 + 23*c**3\/6 - 15*c - 1. What is the second derivative of z(o) wrt o?\nAnswer: -20*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 942368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 1)\/((-2)\/(-2)). Let v be o\/(-2) + (-2)\/(-12). Which is the closest to v? (a) 3 (b) 0 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 6*v + 2. Let o be 0 + (-23786)\/(-119) + (-8)\/(-68). Let m = 195 - o. Calculate k(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/3 + 1556*w**2\/3 - 4654*w\/3 + 3100\/3 = 0. Calculate w.\nAnswer: 1, 2, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 - -61. Let w be (-50354)\/s + (-4)\/10. Suppose 3*k + w = 2*n - 648, k + 5*n + 385 = 0. Round k to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8451)\/81)\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 4*j + 188 = 228, 8 = -3*o + 4*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*s + 93 - 93 + (-3*s - 2*s + 3*s)*(0 + 1 - 3) + (0 + 0 - 2*s)*(1 + 4 - 3) + 0*s - 3*s + s - 4*s + 4*s - 3*s.\nAnswer: -47*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 119298 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-6))\/2 - (-4005)\/135 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.531 + 0.231. Let l = 42 - 43.9. Let o = l + -0.1. Which is the second biggest value? (a) o (b) x (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/20 - 11*b**4\/24 + b**3\/3 - 2*b**2 + b. Let p(s) = s - 49615 - 6*s + s**2 + 49616. Give 5*p(y) - 2*w(y).\nAnswer: -y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27512 - 24095. Calculate the smallest common multiple of 51 and r.\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 25.8. Let k = l + 5. Let r = k - 0.7. Which is the nearest to -0.2? (a) r (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -5, 157, -236, -3 in decreasing order.\nAnswer: 157, -3, -5, -47, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/((-24)\/16).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.1, 0.4, -0.089, 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**2\/7 + 56*i - 1372 = 0. Calculate i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52124 - 3?\nAnswer: 52121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhdhhhhhhhdh?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2\/3 (b) 0.5 (c) -0.3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:23 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*v**2 + 79*v**2 + 10*v**2.\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.011, -9933, 6 in increasing order.\nAnswer: -9933, 0.011, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 50 + 54*n**3 - 50.\nAnswer: 54*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 8*k + 24 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 - 10*t**3 + 11*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12636896 to the nearest integer?\nAnswer: 3555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.8. Let s = 0.34 + 0.06. Which is the third biggest value? (a) 4\/3 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*3*4\/8. Let u be 436\/12 - (-1)\/(-3). Let w = q + u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06 from -47334.\nAnswer: -47334.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 22. Suppose -73 = -3*u + w*r, 2*r - 1 + 43 = 2*u. Calculate the remainder when 30 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/5, 624, 3\/2?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 16. Let m = n - -12. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 26. Let r(n) = c + 3*n - 90 + 46 - n**2. What is r(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 3 + (-44 - -64) + 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*a**4\/5 + 73826248*a**3\/5 - 49217508*a**2\/5 - 24608752*a\/5 = 0. What is a?\nAnswer: -6152188, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5982896 and 77328?\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101 a factor of 184850043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10756.874 - -10781. Let l = n + 0.074. Round l to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70283310.\nAnswer: 2, 3, 5, 2342777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -67*q + 2*q**2 - 6*q - 46*q + 2450 - 21*q.\nAnswer: 2*(q - 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 52326 = 37*i - 4*u, 4*i = u + 69730. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 + 23 = 0. Calculate the common denominator of 2\/7 + (-485)\/70 and z\/4*(-5)\/4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j + 15*j - 19*j**2 + 10*j.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22326 by -61.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(90\/(-66))\/5\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.88 * -0.5.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-184*z + 184*z + 30*z**3)*(4*z - 5*z - 8*z).\nAnswer: -270*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/9 - 10*v**3\/9 + 3*v**2 - 2*v\/9 - 40\/9 = 0.\nAnswer: -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6181814341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ykykhkke?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**0*g)\/(g\/(g\/g**(-4)))*(g*g**(-2)*g)\/g**(1\/2)*((g*g**(4\/3)*g)\/((g*g**(-6))\/g*g))\/((g**6\/g)\/(g*g**1)) assuming g is positive.\nAnswer: g**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 9. Let b be t(-13). Find the second derivative of 6*g + 2*g**4 + 0*g - 5*g + 2*g**b wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-6)\/270). Suppose -2*u + 7*u - v = 0. Suppose 10 = 2*c, -5*r + 0*r - u*c = -100. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*x - 2853, -4*b - x + 963 = -4776. What is the units digit of b\/(-24)*2*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1738149*r. Let x(z) = -2*z**2. Give x(o(q)).\nAnswer: -6042323892402*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -0.496854202?\nAnswer: -0.896854202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67\/130 - -1\/65. Which is the closest to 13? (a) 4\/7 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/16)\/3 - ((-70)\/10 - -8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.58 - -1188211036002\nAnswer: 1188211036001.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 173856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.088 + 7.688. Round q to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32750? (a) -1\/6 (b) 0.1 (c) 17 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4 and -120.152.\nAnswer: -121.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -11) + -51 + 80\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*a + 632, x - 144 = -0*x - 5*a. Suppose 5*f - x = 481. Let g(z) = -61*z + f*z - 65*z. Let r(w) = -4*w. Calculate r(g(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + -20 + 19 - (1 + -21). What is the greatest common divisor of 1998 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2, 794?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -52. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) 1\/4 (c) -1.81 (d) 0.2 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409770 is divided by 31451?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 372\/18 + 0 + (-1)\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzsddzrzdzr. Give prob of sequence ds.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*z = 2*z + 90, 4*z = -2*j + 60. Suppose -16 = -5*h + 9, 0 = 4*g + 2*h - 70. What is the highest common factor of j and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 2 - 1 = 4*w, -4*w + g + 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 100 (b) -2 (c) 3 (d) -43 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**(2\/3))\/r)\/r)**(-1\/16)*(r**(-2))**(1\/13))\/((r\/((r*r*(r**3\/r)\/r*r)\/r*r))\/r**(-8))**(-26) assuming r is positive.\nAnswer: r**(81089\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -590 minus 13.34463566?\nAnswer: -603.34463566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*s + 24, 3*s - 8*u + 9*u = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + 1092. Is 10 a factor of u\/10*((-15)\/(-2) + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.2 - -45. Let a = 6689.5 + -6689. Sort j, a, -0.5 in ascending order.\nAnswer: j, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -201*z. Let b(v) be the first derivative of 2*v**3\/3 + 152. Determine b(h(u)).\nAnswer: 80802*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 99. Let l(z) = -4 - t*z + 3 + 1. What are the prime factors of l(-1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176 + 2*n - 49 - 98)*(4*n**3 - n**3 + 0*n**3).\nAnswer: 6*n**4 - 969*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 3}. Give prob of picking 2 n and 2 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1987*i**4 - 1862*i**2 wrt i?\nAnswer: -47688*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 60. Let f be h(-29). Let z(b) be the first derivative of 2\/3*b**3 + 0*b**f - 4 + 0*b. Let p(g) = 3*g. What is z(p(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 36\/5, -1\/4 in ascending order.\nAnswer: -1, -1\/4, 0, 36\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*u - 231*u - 570*u)*(u**2 + 11 - 11).\nAnswer: -692*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:10 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Let m = w - 0.5. What is the biggest value in 2\/3, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2057) + -3 + 1)**2 + 4 + ((sqrt(2057) - (sqrt(2057) + 4)**2)*1 - -1*sqrt(2057)*4).\nAnswer: -77*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 11:15 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s**2\/13 + 222702*s\/13 - 8908\/13 = 0 for s.\nAnswer: 1\/25, 4454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 20 = 0, 2*z + a - 31 = 5*z. Let n be ((-8)\/(-10))\/(z\/(-30)). What are the prime factors of n*9\/6 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 5*r**3\/6 - r**2\/2 + 5*r + 2. Let j(p) be the first derivative of w(p). Let g(v) = 6*v - 2. Calculate -3*g(f) + 4*j(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272 + 272 + 11*q**2)*(2*q - 2*q + 2*q**3).\nAnswer: 22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 9*f**2 + 2*f + 13. Let k be q(-9). Let r be (-2)\/((4\/k)\/(-2)). Let i = -2 - r. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**4 + c**3\/3 + 5. Let t be o(-1). Suppose t*u - 10 = -2*h - 3*h, 3*h = -4*u + 13. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728\/(-15) + (-21210)\/45450.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from {z: 7, t: 5, f: 3, v: 2, p: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 2*w - 18*w to s*w + b and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-5))\/(9\/225*30\/(-16)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3 + 108 + 2*p - 14*p**4 - 122 - 2*p**3 + 2*p**4 wrt p?\nAnswer: -144*p**2 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 0 - 7\/15*m**6 + 14*m + 0*m**4 - 7*m**2 + 0*m**3 + 0*m**5. What is the derivative of z(c) wrt c?\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 5388 = 3396. List the prime factors of f.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - w - 9, -81*z = -82*z - 4*w - 8. What is the smallest value in z, 0.1, -1, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = k - 0*k + 2*y, 0 = 4*y. Let h be k\/(-30) - (-330)\/4. Differentiate 24*r**4 - 44*r**3 + h*r**3 - 12 - 38*r**3 with respect to r.\nAnswer: 96*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2 + 7*h - 2*h - 1 + 11*h. Is j(2) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77 - -1?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 9*r - 25. Determine h(-12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 19*h - 60. Suppose -38*j + 179 = -125. What are the prime factors of z(j)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 4871.\nAnswer: -8\/4871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -82, -127?\n\"Answer: -45*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 408\/90*6 - (-628)\/785\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 9. Let d = t + -9. Which is the nearest to 0? (a) 0.5 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8225*g - 702 = 8171*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/7 + 69*y**3\/7 - 180*y**2.\nAnswer: 3*y**2*(y - 12)*(y + 35)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*n + 22*n + 16. Calculate the greatest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/129? (a) -2.2 (b) 0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 18049525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 5066*k + 46 - 131 + 43.\nAnswer: -5066*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146.5 + 146. Put -5, y, 0.23 in ascending order.\nAnswer: -5, y, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405 by 1.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*s - 177*s = -630*s + 26558 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/24733 - -74209\/247330. Let h(a) be the second derivative of -o*a**6 + 3\/10*a**5 + 2*a + 3\/2*a**2 - 3\/2*a**3 - 5 + 1\/14*a**7 + 1\/2*a**4. Factor h(m).\nAnswer: 3*(m - 1)**4*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 53. Let u be (-3 - (0 + q)) + 4. Let p = u + 118. Does 43 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2479 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -425 - -351. Let o = m + 544. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73+-5891\nAnswer: -5964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51521\/80 - 644. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. Let l be c(4). Let r be -1*(8*-1)\/(-2). Let t be (-6)\/r - (-3)\/(-2). Solve 5*w - v - 2 + 1 = t, l*w - 3*v + 10 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(1\/8)))\/(k*(k*k**(-2\/15)*k)\/k)*(k*k*k**(-2\/3))**(2\/7) assuming k is positive.\nAnswer: k**(-731\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 11.67\nAnswer: -11.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-15))\/2*-5. Put 108, b, 0 in decreasing order.\nAnswer: 108, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10831041 + -7231041. Round r to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bd1 (base 16) in base 14?\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18473 is divided by 124.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j**2 + 5*j**2 - 2*j**2 - 4*j**2 + 2*j**3 as s + r*j**3 + w*j**2 + z*j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 3*m - 22 = 0. Let f(g) be the second derivative of 1\/70*g**5 + 1\/42*g**4 + g - 1\/105*g**6 - 1\/147*g**7 + 0*g**3 + 0 + 0*g**m. Factor f(r).\nAnswer: -2*r**2*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159369551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -849 + 1359. Let b = -265 + m. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.42 - -8.42. Sort 3, -4, c in descending order.\nAnswer: 3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 494 and 18?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w + n, 5*w - w - 3*n - 55 = 0. Suppose w*u + 42 = 4*u. Sort u, -0.1, 5.\nAnswer: u, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - -0.3. Let r = -29 - -29.22. Let v = r - 0.02. Sort -4, v, d.\nAnswer: -4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -428*k**2 - k**4 - 276*k**2 - 2 + 3*k**4 + 247*k**2 - 2 to the form r*k**3 + i*k + h + z*k**4 + o*k**2 and give o.\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 31 = 2*x - 115, 0 = 2*g + 7*x - 12*x + x + 30 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*w - 31 = -5, -4*w - 44 = -4*d. Let p = -9 + d. Solve p*v = 2*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2018 - 4040 - 9*r + 2022 + 6*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1045*p**2 + 21952*p + 152. What is c(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 4\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.0234 - -0.0234. Put 5, -0.037, 3, h in increasing order.\nAnswer: h, -0.037, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(2*(14\/(-7))\/(-4))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -4, -1, 5 in ascending order.\nAnswer: -4, -1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35640\/630 + (2*10\/(-28) - (-63)\/441)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 323780 or 323824?\nAnswer: 323824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - v - 4)*(2*v**4 - 3*v**2 + 3*v**2) + 0*v**3 + 0*v**3 - 2*v**5 + (0*v**3 - 2*v**3 + 0*v**3)*(3 - 2*v**2 - 3) + 3*v**5 + 1 - 1.\nAnswer: 3*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 461299 and -13.466.\nAnswer: 461285.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19912*r**2 - 5*r**3 - 45481*r**2 + 25569*r**2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10 + 4*f + 16*f**2 - 7*f - 3*f**2 - 3*f**2 wrt f?\nAnswer: 20*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(52\/10 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14255 (base 7) to base 16.\nAnswer: -f47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -3.03\nAnswer: 0.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(10\/(-216)) + (11 - 9). Suppose -3*k + b = -3*j - 643, -4*j = -3*k + 751. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56644 is divided by 266.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.49, 29, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:39 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c. Let g(r) = -77*r**2. Give w(g(x)).\nAnswer: 1078*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**3 - 502 - 500 - 554 + 1556.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/36*15\/10)\/((-38)\/8)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -344\/15 or -23?\nAnswer: -344\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229 - 200. Solve -5*d - 3*n + f = 0, 0 = 12*d - 13*d + n + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**7*u**(3\/20) assuming u is positive.\nAnswer: u**(183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*z + 647*z - 2 + 28 = -5*w, 2*w + 27 = -4*z + 7 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -684*0.5\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 18*w**3 + 2*w**2 - 5. Let g be j(2). Calculate the greatest common divisor of g and 2919.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/((-8)\/(-40)). What is the third derivative of -6*o**4 + 6*o**p + 7*o**4 - o**4 + o**2 wrt o?\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a centimeter in micrometers?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwxpwwwpi. What is prob of sequence px?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 16. Let f(v) = 13 - v**l + 4 - 20 + 12*v. Let n be f(11). Solve -n = 2*w + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21*m**2 + 9. Let a(d) = 5*d**2 + 2. Give -18*a(q) + 4*c(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098 - (6 + 1) - -10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -187193 != -187188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -152\/3 (b) 2\/3 (c) -3 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 0*y + y + (2 - 5 + 14)*(-1 - y + 1) + 30*y + 23*y - 54*y - 163 in the form i + p*y and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.0571 millennia to months.\nAnswer: 420685.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 390 + -248. Suppose -2 - n = -8*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 0*h = 14. Suppose h*s + 10 + 0 = 0. Let m(o) = -15*o**3 + 5*o**2 - 5*o. Let b(y) = 7*y**3 - 2*y**2 + 2*y. What is s*b(t) - 2*m(t)?\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 6 = 5*y. Let p be y\/(-12) - 87\/(-158). Let m = 1943\/632 + p. What is the common denominator of m and 113\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1476272\/17216)\/((-14)\/8)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -61968, -123952, -185936, -247920?\n\"Answer: -61984*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 587963265 and 30945435?\nAnswer: 587963265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 303 = -5*o, 0*o = 4*o - 5*k - 255. Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 17*r - 215. Let v be g(13). Solve v*d = 20*d - 12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 264879*c**2*f*r**3 - 5*c**2*r**3 - 48*c*f*r**3 - 20*c*r**3 - 2*f*r**2 + 3*f*r + r**2 - 11*r wrt c.\nAnswer: 529758*f*r**3 - 10*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2259.129363 to the nearest integer.\nAnswer: -2259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hio when three letters picked without replacement from cjjoohcicijcich?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27502, -27504, -27506?\nAnswer: -27508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55217 + 1482?\nAnswer: 56699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -53305651 (base 7) in base 4?\nAnswer: -101100101320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + s**4 - 5*s**4 + (-2308*s - 2408*s + 3901*s)*(-4*s**2 + 4*s**2 - 2*s**3) to g + f*s**2 + x*s**4 + t*s**3 + h*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -225160\/11 or -20470?\nAnswer: -225160\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 - 666 = -155*u - 5492 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 10*l + 16*l**2 - 20*l**2 - 4*l**3 + 13*l. Let i(x) = -13*x**3 - 13*x**2 + 16*x. What is -2*i(q) + 7*k(q)?\nAnswer: -2*q**3 - 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -269339, 29, 0.4, -5, 5 in decreasing order.\nAnswer: 29, 5, 0.4, -5, -269339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 8 = -5*u - 10, -2 = u. Let z be (1\/(-28))\/(l\/16). Which is the fourth smallest value? (a) z (b) -0.5 (c) -0.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 17*j**3\/3 - 27*j. Let w(i) = -i**2. What is w(p(c))?\nAnswer: -1156*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 17. Let y(k) = -30*k - 174. Calculate the smallest common multiple of y(z) and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 + 324*i - 643. Determine z(106).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**3 + 2*r**2 + 2*r + 1. Let t be x(-1). What is the units digit of (9 - -1)*(-12)\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 60*w - 1275, 91 = 3*w - x - 32 + 63 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dadd when four letters picked without replacement from aaddddddddaaddddddd.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 305 and 40.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + ((-524)\/140 - -2) and -89\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/13))\/d*d**(1\/8))**(1\/7) assuming d is positive.\nAnswer: d**(-3\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*s - 637 + 272*s**2 + 637 + 182*s.\nAnswer: 272*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -98. Let s be 1\/2*(30 - 2). Is 598\/s - (-28)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 378 = -3*c, c + 2*b = 107 + 20. Calculate the remainder when c is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56075693?\nAnswer: 2543, 22051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, n: 1}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 432317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590155344 by 147538836.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492855 is divided by 164247?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/1 + 18 + -19 + -10. Let o(n) = -n**2 + 4*n - 3. Let s be o(3). Solve -a = -l - s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 + m**3)*(-351*m + 7*m**2 + 351*m).\nAnswer: 7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20*-5)\/(1\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 6689396.\nAnswer: 167234900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 68 = 21*b + 20*b - 37*b, n - 10 = b - 22 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 61. Let i be o(19). Let l = 39 - i. Calculate the common denominator of -53\/5 and (-6015)\/600 + l\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2457257 is divided by 614311?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 30\/119 (c) -4 (d) 1\/3 (e) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2\/5*v**3 + 12*v**2 - 90*v + 0 = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - p + 3*p)*(-5 - 2 - 1 + (1 + 3 - 6)*(-1 + 4 - 1) - 5 + 1 + 3)*(1 - 3 + 0) as r*p + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9))\/(-1)*(-27)\/(-27).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299 + -7. Calculate the smallest common multiple of r\/6 + (-21)\/(-63) + 1 and 16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - -1) + 1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*d = -69*d + 5*v + 10390, d - 2*v = 5195. List the prime factors of d.\nAnswer: 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5624981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 - g - 1. Let a be s(-1). Let o(c) = 4 + 0*c + 2*c - 5 + 3. Give o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12543, -25077, -37611, -50145, -62679?\nAnswer: -75213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 36*b**2 + 101040*b + 809600.\nAnswer: -2*(b - 220)*(b + 8)*(b + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -20. Let k be (q - 4)*20\/(-25). Suppose k*t - 164 = -2*w + t, 3*w + 4*t - 244 = 0. What is the remainder when w is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.13 bigger than 1\/7521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/1*(-5)\/(-135)*2. What is the nearest to 0 in -3\/7, h, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 2. Solve -5*b = 20, 3*y - 5*y = -b + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25006 (base 8) to base 2\nAnswer: -10101000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i. Let j be b(2). Let m(c) = 2*c**2 + 7*c - 5. Let d(w) = -w**2 - 3*w + 2. Let g(h) = -5*d(h) - 3*m(h). Calculate g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.4 (b) 0.3 (c) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3 + sqrt(684) - sqrt(684))*-5 + -4)**2 + (-3*sqrt(684) + 3)*-4 + 2.\nAnswer: 72*sqrt(19) + 355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -3. Let j = 25.1 - 25. Let z be -1 - -2 - (-16)\/(-10). Which is the nearest to j? (a) o (b) -3\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313311 (base 4) to base 15.\nAnswer: -10d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 2*f. Let g be (-3 - -3) + (-1 - 1). Let q be i(g). Let j = 2 + q. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 2458*b - 1510441.\nAnswer: -(b - 1229)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m + 22. Let k be x(-2). Sort 1, k, -1.\nAnswer: k, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-3 - (-6)\/(-3)). Suppose 0 = -4*n - v + 13, n - 2*v + 5*v - 6 = 0. Let z = n - q. Solve 25 = m - z*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*h - 71*h = 40656. Is 44 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*i = -704 - 6896, 3*i = -5*k + 9500. Let s = k - 1023. Is 76 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = v + 5, -m - 3 = -5*v - 28. Suppose -4*y = -2*l - 9 - 3, 4*l + 8 = m. Factor -1\/2*r + 1 + 1\/2*r**3 - r**y.\nAnswer: (r - 2)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 430203\/2 + -215100. Factor 3\/8*r**4 + 0 + t*r**2 + 15\/8*r**3 + 0*r.\nAnswer: 3*r**2*(r + 1)*(r + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 7:29 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 74*t**2 + 57*t - 558. Calculate the lowest common multiple of 5 and r(-73).\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1647 - -1651. Which is the nearest to -1\/92? (a) v (b) -0.2 (c) 2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22\/7 + -170\/63. Put 5, 0, c, 0.4 in ascending order.\nAnswer: 0, 0.4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**7\/56 - u**6\/30 - u**5\/5 - u**4\/24 + 13*u**3\/24 + 3*u**2\/4 + 14*u + 2. Let a(o) = 0. Calculate o.\nAnswer: -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvzvvzvzzzvvv. What is prob of sequence zzz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 157*u + 25443. Give d(-130).\nAnswer: 5033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63801 + 156262. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8701a53 (base 11) to base 14\nAnswer: -206499a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/4455 and 5\/18?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**27)**17 assuming d is positive.\nAnswer: d**459","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1*0*1. Let v = 3 - d. Suppose 7*t - v*t = 28. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0 = -3*g + 15, 2*g - 10 = p. Suppose -3*z + 122 + 34 = p. Suppose 5*u = z + 103. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3591851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 + (3 - 5). Suppose -4*z + 5*q + 89 = g, -4*q - 3 = 2*z - 15. Suppose -c + z = 3*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) 0.05 (c) -5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -10. Let o be (z\/(-4))\/5*4. Solve -3*r - x = 10, -o*r - x = x + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3533 and -7649915.\nAnswer: -7653448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3999?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from aapajavj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9815163 divided by 9815163.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 4*a + 2. Suppose 5 = -25*w + 24*w. Let z(n) = -n**3 + 5*n + 3. What is w*x(y) + 4*z(y)?\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -494, -904, -1252, -1538, -1762, -1924, -2024?\nAnswer: -2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70982 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202300 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24905198298+56643\nAnswer: 24905254941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3, -1\/5, 1, 2\/3, -0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + -67b?\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 7*n + 11. Let g be j(8). Let v be (-38)\/4 - g\/6. Let b = v + 17. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 0)\/(9 - 11) - -4. Let q be 4\/(-10) + 7\/a. Is 2.8 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -5*o. Find the common denominator of (23\/(-115))\/(o\/(-42)) and -61\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*b + 45 = 10, -4*b = -20. Let u(g) = o - 6 + g**2 - 3. What is the tens digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81.2 * -0.261.\nAnswer: -21.1932","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (2 - ((20 - 25) + (3 + 11 - 1))).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9867, -9868, -9869, -9870?\nAnswer: -9871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.486 and -3.\nAnswer: -4.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 146741, 293419, 440035, 586589, 733081?\n\"Answer: -31*q**2 + 146771*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - -19. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*r + 2*y - 6, 9 = -3*y. Suppose -l - 11 = -v, -3*l + 58 = 5*v - 5. What is the remainder when v is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 - 99. Which is the nearest to x? (a) -5 (b) -2\/5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - -73 - 700\/(-100)*(-2)\/7. What is the greatest common divisor of z and 5491?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2351*r + 25. Let l(f) = 5. Calculate 5*l(n) - u(n).\nAnswer: -2351*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248119.\nAnswer: 248119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Suppose 3207 - 3207 = 4*f. Let r(w) be the third derivative of 16*w**2 + 0 + 0*w + f*w**4 + 0*w**3 - 1\/6*w**5. Give u(r(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*-55.1\nAnswer: 9.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o - 8. Suppose -5*w = -0*w + 4*q - 50, 29 = 4*w + q. Let u be h(w). Let n be ((-4)\/10)\/(8\/u). Do -1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 - 65*q + 133. Give t(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*x = 6*x - 247*x - 884*x - 68050 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 + -12 + -66. Let u = 160 + y. Suppose -3*w + u = -w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -37*r - 4. Calculate i(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*f = 0, o - f + 5*f = -5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + -112212200?\nAnswer: -112211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 32. What is the units digit of 100*(11\/(-5) - v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1.131.\nAnswer: 5.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1017661 rounded to four dps?\nAnswer: -0.1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {i: 5, j: 8, a: 2, c: 4}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-3\/5)\/h)\/h*h)\/h*h)**(-20\/9)\/((h*h*(h\/h**1)\/h)\/((h**(-7)\/h)\/h)) assuming h is positive.\nAnswer: h**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 26. Let z(w) = -w - 9. Let o(t) = -3*q(t) - 8*z(t). Let l be o(-5). Let m = -15.262 - -17.262. Sort -2, m, -2\/9, l in decreasing order.\nAnswer: m, -2\/9, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*b + 2, 2*b + 8 = -2*b. Suppose -2*o - u = -0*o. List the prime factors of (-18)\/(-2) - (o + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66752.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 4*l**2 + 4 + l**3 + 7 - 17. Determine v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4)*(0\/(-7) + -8). Determine a so that 4\/3*a**3 + 0*a + 0*a**g + 0 + 2\/3*a**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.434 and -12095?\nAnswer: 12094.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5119\/7 + -737. What is the common denominator of 39*24\/(-80)*1 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*a + 218*a + 222*a + 4 - 4.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 26 = -8*w. Let x = 13 + w. Solve x*d - 2*d = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 + 295)\/((-1)\/1). Let p = y + 383. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)\/(-1)*-4. Find the common denominator of 127\/12 and (3\/21)\/(d\/(-142)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101959 and 209963?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 4*s - s**2 - 8*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16*o - 2. What is the tens digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 772 and 168500194?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 14 = 2*n + c, 5*n - 21 = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let j be h(-6). Let t be 129\/(-15) + j\/(-15). Does 2 divide 6\/15*(1 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*-4*(-3*(1 + sqrt(396) - sqrt(396)) + (sqrt(396) - (sqrt(396) + -3 + 0 + sqrt(396)))))**2*3.\nAnswer: -57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 13 + 7 + 5*s - 1 + 10 + 10.\nAnswer: 5*s + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p. Let d be 10\/(-15) + (-34)\/3. Let r = d + 6. Let j(b) = b + 5. Let c(y) = -y - 6. Let g(w) = r*j(w) - 5*c(w). Give g(i(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -640000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 - 28*i + 28. Let r(j) = -j**3 + j - 1. Calculate -28*r(t) - z(t).\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5624719343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 3, -4.\nAnswer: -4, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/1 - (36 + -277). Let d = -234 + w. Is d bigger than -0.259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45*50\/(-750)*(-4)\/174?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*q + b, 4*q - 8*b + 3*b = 101. Let m = 11 - q. Let o = 13 + m. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1194, 1184, 1168, 1146, 1118, 1084, 1044?\n\"Answer: -3*m**2 - m + 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8608 + 8607.7. Which is the closest to -3\/2? (a) s (b) -32 (c) -4\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/6 - 20*v. Let f be 1*(-1 + 3 + -1). Let u(z) = 1 - f + 3*z**2. Give m(u(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01329 + 1.02141. Let b = -0.0347 + m. What is the nearest to 0 in b, -0.4, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 11. Let z = 180 - 55. What is the remainder when z\/10 + (-1)\/(-2) is divided by v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -649 + 402. Let r = g - -299. What is the lowest common multiple of 32 and r?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/143)\/(-2 - (-6)\/4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*x**2 + 655*j**3 + 957*j**2*x**2 wrt j?\nAnswer: -6*x**2 + 3930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z + 6. Let m be i(-4). Let f = 19 + m. Let b = 6 + f. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -7*j**4 - j**2 - 114*j - 7. What is the first derivative of r(m) wrt m?\nAnswer: -84*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 - -237. Let p = 101 - o. What is the least common multiple of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(((-2)\/(-24)*32)\/(5\/15))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*q**5 - 8665912*q**4 + 2888624*q**3 + 8665912*q**2 - 2888636*q = 0. Calculate q.\nAnswer: -1, 0, 1\/3, 1, 722159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -510080, -1018954, -1527826, -2036696?\n\"Answer: v**2 - 508877*v - 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1166, 0.009, -3, 0.51?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/100 + r**4\/40 - 6*r**3\/5 + 160*r**2. Factor k(l).\nAnswer: 3*(l - 3)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -883, -904, -925, -946, -967?\n\"Answer: -21*m - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjvbjjpjnb. What is prob of sequence jbnv?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/51*(-4)\/(-14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - 73 - -12 - (-4 + 8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3770 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3501*w**3*z + 4*w**3 + 88 wrt z.\nAnswer: -3501*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - l - 45 = -46, l = 1. Solve 9*h - 9 = -p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b70 (base 16) in base 2?\nAnswer: -100011101101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -16*q + 18. Suppose -15 = -20*t + 23*t. Is a(t) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m + 42. Let r be w(30). Let a = -320 + r. What is the highest common divisor of 98 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243699 - 3*f**3 + 243699.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -24. What is the smallest common multiple of 62\/8 - (-1)\/4 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Let h(l) be the second derivative of -l**4\/2 + 5*l**3\/6 - 3*l. Let x(k) = k**2 - k. Let t(s) = h(s) + 5*x(s). What is t(c(j))?\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(2) + (-1*sqrt(2) + -4)**2)*1.\nAnswer: 12*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6257*a + 73428 = -120539 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*2\/(-5)*(-7)\/84. Sort -11, -0.1, h.\nAnswer: -11, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - g**2 + 110*g - 5. Give a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*g**3 - 2*g - 15 wrt g.\nAnswer: 102*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i = 28*i. Suppose 13*w - w - 456 = i. Which is the biggest value? (a) -0.2 (b) w (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 6. Let w(x) = -6*x + 10. Let l(u) = 5*v(u) - 3*w(u). Let n(o) = -4*o. Calculate -3*l(d) - 2*n(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/((-132)\/(-220))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 9. Let f be v(3). Suppose 2*r = f*r - 16. What is the units digit of (-1)\/(((-16)\/116)\/r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 649, 997, 1369, 1771, 2209, 2689?\nAnswer: 3217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b + 24. Let h be n(-3). Let j(f) = -39*f + 12. Let u(d) = -154*d + 48. Let o(c) = h*j(c) - 2*u(c). Differentiate o(w) wrt w.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*r + 69*r + 17*r - 994. Solve 54*z = 61*z - r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2674, -3\/8, 1610?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56) + -6*(sqrt(56) - -3*sqrt(56)) - sqrt(56)) + -4*(sqrt(1400) - sqrt(56)))\/(sqrt(64)\/(-2*(sqrt(8) + sqrt(288)))*5))**2.\nAnswer: 87808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. Let b(r) = -56*r + 49. Give -2*b(y) - 98*z(y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**4\/24 + 5*s**3\/6 + 3*s**2. Let g = -3 + 1. Let l(o) = -5 + 8 + 1 - 2. What is g*r(h) + 5*l(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and -29\/2014.\nAnswer: 6042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/7)\/(0 + -2). Suppose 0 = -4*m + 3*r - 8, m - 5*r = 5*m + 8. Put q, 1, m in increasing order.\nAnswer: m, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43\/4, 460, 0.5 in decreasing order.\nAnswer: 460, 0.5, -43\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1674 - -90)\/(-84) + (-23)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t - 36. Find the common denominator of ((-4)\/t)\/(4\/18) and 1\/(-2) + (-16)\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13 - 17) + 36 - 2) + (-1 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14118181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 154*x**2 + 41*x - 480. Let k(p) = 88*p**2 + 23*p - 270. Let m(o) = -9*g(o) + 16*k(o). Suppose -6*t = -3*t - 3. What is m(t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhaaaaaaaaha. What is prob of picking 1 b and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 1668*o**5\/5 - 833*o + 1785. Differentiate i(z) wrt z.\nAnswer: 6672*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x**2 + 33 - 7*x**3 - 50 - 17*x**3 - 16*x + 23*x**3. Give z(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 89 = 5*f. Calculate the remainder when f is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-16)\/(-20))\/((((-2312)\/(-255))\/(-34))\/(-6)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-855)\/1995*(-42)\/7*((-25)\/(-5))\/(-10).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*u = 714*u + 140885 - 168302 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11627 - 11622. What is the smallest value in 4, a, 2\/155?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k + c - 200 = 0, 0 = -5*c - 20. Let t(z) = z**2 + z + 36. Let u be t(0). Let d = k - u. Calculate the greatest common factor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -13. Calculate the lowest common multiple of i and 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(891)*-2 + 0 + sqrt(891) + 5 - -4*(sqrt(891) + 0 + -4 + -3*(sqrt(891) + 0 - sqrt(891) - sqrt(891)) + sqrt(891)))**2.\nAnswer: -2736*sqrt(11) + 321715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.807194 milliseconds in weeks?\nAnswer: 0.000000042670625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, 0, -0.5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 3, -0.2, 0.856, -154?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/30*6*-17. Do z and -19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2007203281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.96 (b) -25 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:13 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3) - (6 - 6). Let s be ((-6)\/(-36) + (-14)\/12)*-1. Is n at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 63, -14, -91?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 108*h + 40. Give c(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/25 - (-22)\/10. Suppose -5*c = -f + 241, 2*c + 193 = -t*c + f. What is c rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -15, 297, -5 in decreasing order.\nAnswer: 297, 1, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:44 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 234, 235, 236, 237?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n + 27. What is b(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161 + 161 - 17*x to l + f*x and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-51))\/(2\/(-6)). Let m = -13 - -8. Let i = -3.8 + 4. Which is the closest to 0.1? (a) q (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30295*m*w**2 + 19300*m*w + 2*w**2 wrt w?\nAnswer: -60590*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 56*x - 25. Suppose -334*w + 333*w + 9 = 0. Is p(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1532.5 + 1532.81907. Round q to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.02 - -4.12. Put -1\/4, x, -2, 7 in descending order.\nAnswer: 7, x, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.66396mg in tonnes?\nAnswer: 0.00000004166396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - p + 3 = -f, -4*f - 3*p = -1. Suppose -4*t + 4 = 3*v - 1, 5*v = -3*t + 12. Let r = t - -2. Solve f*z - 8 = -3*m, 3*z + 5*m - r = 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -47*d**7\/7 - 2*d**5\/5 - 20*d**3\/3 + 70. Find the third derivative of z(m) wrt m.\nAnswer: -5640*m**3 - 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 1548?\nAnswer: 17028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {q: 1, n: 1, w: 1, j: 4, o: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960 a factor of 177158520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h + 4, -3*h = 3*i - 3. Let q be i + 3 + 12\/(-2). Let t be 2*(2 + (-3)\/q). Solve -t*r + 0*r - 3*n - 21 = 0, -5*r + 5*n = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1640*z + 819*z - 2826*z - 1646*z - 156 + 158 to the form x + u*z and give u.\nAnswer: -5293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-5\/6)\/(t**(-2\/21)\/t))**(4\/5))**(1\/59))**(-23) assuming t is positive.\nAnswer: t**(-506\/6195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + sqrt(3)*-1)*-5 - (sqrt(108) + 3 + -2)).\nAnswer: -sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -11. Which is the closest to 6? (a) o (b) -2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/9 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40666*v**4 + 22*v**2 + 90*v - 9.\nAnswer: 975984*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4*o**2 - 97*d**2*o + 1199*o**2 - 1 with respect to d.\nAnswer: 8*d**3*o**2 - 194*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -3, -5, 5, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9792*y + 29384. Calculate l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 - 490\/3*v + 1\/3*v**2 = 0. What is v?\nAnswer: 1, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231e (base 16) to base 8.\nAnswer: -21436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -4, 15, 32, 41?\n\"Answer: -u**3 + 8*u**2 - 2*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4472 (base 9) to base 5\nAnswer: 101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13800 + 82*s + 27581 - 13800 - 33*s.\nAnswer: 49*s - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**2 + m + 25. Let i(j) = 828*j**2. What is d(i(v))?\nAnswer: -4799088*v**4 + 828*v**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 3*k**2 - 4*k - 1. Let u = -24 - -12. Let z = -8 - u. What is l(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -5\/4*s**4 + 22 - 1\/2*s**2 - 7*s + 0*s**3. Find the first derivative of t(l) wrt l.\nAnswer: -15*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4 - 437484*x**3 + 15946728420*x**2 - 193630397539684*x - 3490516447548984 = 0.\nAnswer: -18, 36463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 - 4*f - 3. Suppose 3*o + 9 + 6 = 0. What is the remainder when i(o) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22809254 and 88426.\nAnswer: 4654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010 - -11000?\nAnswer: 1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 1165*h**2 + 226067*h - 1719. Determine w(-246).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 15*u - 228. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -6*f**2 + 0*f + 1\/24*f**4 + 0*f**3 + 0. Let v(d) be the third derivative of 7*d**5\/60 + 2*d**2. Determine t(v(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, 3, -4 in ascending order.\nAnswer: -4, 3, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3151 = 64*l - 2575 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.4, 496, 0.051, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 2. Suppose 5*a + 3*r = 11, -4*a + 8*a = -4*r + 4. What are the prime factors of w(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -98*c**5 - 21126*c**4 - 11950*c**3 + 19406*c**2 + 12048*c + 1720 = 0.\nAnswer: -215, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 9 + 0*n + 12. Let v be z(-17). Let o(k) = 6*k**3 + 2*k**2 + k - 2. Let x(s) = s**3 + s**2 + s - 1. Let r(l) = o(l) - 5*x(l). Give r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -703*v - 450 = -728*v. Solve 2*j - v*y + 15*y + 19 = 0, -22 = 5*j + y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1870123824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-142)\/71*12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26659*f**3*n + 39*f**2*n - f*n + 1452*f wrt f?\nAnswer: 159954*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 1029, 2281, 3983, 6105, 8617, 11489, 14691?\nAnswer: 18193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 37. Suppose 0 = -h*f - 0 + 14. What is the remainder when (18\/5)\/((-6)\/(-20)) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 0*k = -7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 20*o = 13*o. Solve m + 4*m - 20 = o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -16.371.\nAnswer: 16.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*q + 24. Suppose q*u - u = 40. Calculate the remainder when u is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by 1?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*x = -231, -987*u - 543 = -991*u + x. Calculate the greatest common divisor of 1219 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.037 - -27.463. Let f = -28 + j. Sort 0.5, 0.4, f, 3 in descending order.\nAnswer: 3, 0.5, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + -5 + 4 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in -3, -49, 193, 1, -5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17cd - -817?\nAnswer: -fb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 4. Suppose o = 3*m + 2. Is (-5)\/10*(m - 2) - -341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 120 = -60*l - 810 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46895040 and 411360.\nAnswer: 46895040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457 divided by -3.\nAnswer: 457\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 40\/9*h**4 - 56\/9 + 16\/9*h**2 + 4\/9*h**5 - 92\/9*h + 88\/9*h**3 = 0?\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v*v\/(v**(-2\/17)*v))\/v*v)**(1\/42)*(v*v*v**(2\/9)\/v*v*v)\/v*(((v\/v**(-2\/31))\/v*v)\/v)\/v)**44 assuming v is positive.\nAnswer: v**(1988162\/33201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (2 - -21 - (-557 - -584)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 131 + 637*q - 637*q)*(-3*q - 3*q + 2*q) in the form z*q**3 + w + j*q**2 + p*q and give p.\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402996 is divided by 325?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4.559 - 60\nAnswer: -55.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-5)\/(-5)) - -61. Suppose -391 + g = 5*r. What is the common denominator of (r\/4)\/(-1) - -2 - 0 and -105\/34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/3 - 5*a**4 - 7*a**3 + 163*a**2\/3 - 66*a + 24 = 0?\nAnswer: -12, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 72*n - 637. Calculate q(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w + 29519. Is k(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.902 and 3.\nAnswer: 2.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203*n**4 - 6*n**2 - 1?\nAnswer: -4872*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948594872?\nAnswer: 2, 29, 4088771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/4*(-23)\/230?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3 and 32\/3981.\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13633097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366554*d = -366553*d - r + 21, 6*d = 4*r - 120 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + i + 0*i)*(-3 + 3 + 17*i)*(-3*i - 2*i + 3*i) in the form h*i**3 + z + x*i**2 + d*i and give h.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0*11763804\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = 3*z. Suppose z*r - 44 - 22 = 0. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+-161.781\nAnswer: -158.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003.919776 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 2 + 2 + (147*b + 111*b - 92*b)*(2 - 7 + 2) as w + n*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 3161*n\/5 + 72174\/5.\nAnswer: (n - 3138)*(n - 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 294, 661, 1168, 1809?\nAnswer: 2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + sqrt(1216)*1 - sqrt(1216))**2*2.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 23*u**2 - 29. Let w(i) = 23*i**2 - 28. Let c(q) = 3*p(q) - 4*w(q). What is the first derivative of c(z) wrt z?\nAnswer: -46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 2*b**2 - 4*b**2 + (1 - 1 + 2)*(2*b**2 + b**2 - 5*b**2) to o + h*b + n*b**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 2*y. Suppose 0 = 13*t - 9*t - 3*c - 27, c - 3 = 0. Suppose -11*h + 14*h - t = 0. Solve -2*q + y*q + 2*u = 4, q + h*u + 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 3*j = 26, -4*h = -2*h + 3*j - 10. Sort -5, 23, h, 6 in descending order.\nAnswer: 23, 6, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b + 2 = 0. Let o = b + -3. Is 0 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 2*l**2 + 2*l + 3. Let m be r(-3). Let i(h) = h**3 - 6*h**2 + 4. Let d be i(m). Solve 4*w - 20 = k - d*k, 0 = -5*k + w - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-8)*m*m)\/m**9)**(-3)\/((m**(-5\/3)\/(m**2\/m))\/(m\/(m\/m**1*m))**25) assuming m is positive.\nAnswer: m**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20428813, -40857633, -61286457, -81715285, -102144117?\n\"Answer: -2*h**2 - 20428814*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 9*v**2 - 6*v + 9. Let l be m(6). Let g = 73 + l. Is 4\/6 + g\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -120684\/84133 - 60\/1717. Which is smaller: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -453956, -0.8, -4 in ascending order.\nAnswer: -453956, -4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - q - 8. Let c be w(0). Let o be (3\/6)\/(1\/c). What is the units digit of (21\/6)\/((-2)\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -28*a**3 + 6*a**2 + 95*a - 2. Is l(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 8*o**2 + 5*o + 8. Let s be q(8). Suppose -5*m - 3*v = -121, 5*v + 11 - s = -2*m. Do -1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(65)\/(sqrt(5) + sqrt(5)*-3) + 2)**2.\nAnswer: 13\/4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + 0*m)*(-2 - 3 + 3) + 3 - 3 + 2*m + (-2*m + 5*m - 4*m)*(1 - 1 - 1) + 0 + 0 + 2*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-560)\/(-126)))\/(6\/10)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0925, 1, -92, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*h**3 + 2*h**3 + 2*h**3)*((2 - 6 + 2)*(1 + 3 + 0) + (1 + 2 - 4)*(-2 - 1 + 5) - 9 + 37 + 37) as z*h**3 + n*h**2 + k*h + i and give z.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000088712 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 5*j**2 - 8*j - 8. Let y be x(-6). Solve -u + 6 = -y*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26970 - 14821. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2526*v**4 - 2518*v**4 - 1620074*v**2 + 1610746*v**2 + 510*v**4 wrt v?\nAnswer: -108816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 - 2. Let m = 15 + -13. Let v(j) = 6*j**2 - j + 2. Calculate m*v(w) + 3*i(w).\nAnswer: -3*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 3*t - 65 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 13. Suppose -2*w - 5*o + 67 = 0, 5*w - 4*o - 100 = -3*o. Let b be (3\/g)\/(3\/w). Solve -2*f + 3 = -b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/7? (a) -0.4 (b) 1\/31 (c) 3 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/1 - (1 - 5). Suppose 0 = -a*s + 4*s + 12. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -127*(3 + -6)*12\/9.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -3, -556, -0.16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 0.0044\nAnswer: -0.1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, -85, -353, -621, -889?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2279802 and 2604?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(7*z - 19 + 18*z - 24*z).\nAnswer: 2*z - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((4 - -2) + 5 + -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11049\/79 + 140. What is the common denominator of -21 and w?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 120a7b - -22?\nAnswer: 120aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 0.1, 2.02?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13747 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12337 = 6*f - 737. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 3*f**2 + 4*f - 7. Give u(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32901, 32728, 32429, 32004, 31453?\nAnswer: 30776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5719819 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4832.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:40 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9842, 18648, 42550, 89096, 165834, 280312, 440078, 652680?\nAnswer: 925666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 12:47 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76099 or 76072?\nAnswer: 76072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 9*t**2 + 22*t + 185. Calculate z(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 + 0*c**2)*((0 - 1 + 3)*(-2 - c + 2) + 7*c - 5*c + 4*c - 4*c + 0*c + 2*c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 10*y - 0*y. Suppose y*o = -2*a + 20, -o = 3*a - 4*o. Solve -c - a = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13 + -3)*(-4)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 9:02 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*f = -1886*f - 2399*f - 3622 + 99838 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 3\/4 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-36)*3 - 21722\/2607. Let q be 14\/(-77)*(-2)\/316. Let o = h - q. Calculate the common denominator of o and 43\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmqumxi. Give prob of picking 1 u and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l - 3*f - 14, 5*f + 32 = -3*l. Let n = -8 + 8.06. What is the second biggest value in l, 4, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*u**2 - 7 + 19 + 11 + 76*u**2 + 2*u**3 as n*u**3 + i*u**2 + x*u + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = a. Let n = a - -1. Solve v + 5*z + 16 = -3*v, 0 = -n*v + 2*z - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1598*i**2 - 2*i - 1. Let u be z(-1). Suppose -5*n + 4*b + 33 = 0, 0 = -2*n - 4*b + 2. Suppose -281 = 5*v - 5*t - 1916, -4*t + u = n*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deh when three letters picked without replacement from {h: 3, b: 3, d: 2, e: 3, m: 1, i: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22838115 divided by -5\nAnswer: -4567623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.2, 3\/4, -0.23, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*24\/100*10\/(-3). Suppose 3*u - 3*q - 33 - 42 = 0, -g*q = 20. What is the smallest common multiple of u and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {f: 9, u: 2, b: 2, p: 3, h: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + -30332010?\nAnswer: -30331334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 56 + 15)*(-4*f + f + 5*f) + 14*f + 0*f + 13*f - 8*f.\nAnswer: 229*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g + 231. Let f(n) = 9*n - 36. What is f(x) - 36*p(x)?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) -0.2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -311, -618, -923, -1226, -1527, -1826, -2123?\nAnswer: -2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -16*r - 1. Suppose 2*t - 34 = -2*j + 6*t, 0 = j - 4*t - 31. Determine w(j).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -11*n + 15*n. Let i = 8 - 6. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/23 - 88324*y\/23 - 264954\/23.\nAnswer: -2*(y + 3)*(y + 44159)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q + 18. Let p(j) = j + 4. Let h be p(-7). Let d = q + h. Calculate the greatest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 24 = d. Is (-440 - d)\/(0 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide (-2211)\/((-3)\/5*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 20*j. Is -4\/281 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973003.\nAnswer: 973003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135 - -125) + 0 + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.13 (b) 0.4 (c) 14 (d) -99 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -413805.6384 to the nearest one hundred.\nAnswer: -413800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*j)*(3 - 3 + 1) + 0*j + 0*j + 1 + j - 3 + j + 3.\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322721691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 624\/(-32)*2\/(-48). Let f = z + -111\/176. What is the closest to 0.03 in 20, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(-3\/17)*y**(-6)*((y*(y\/(y**(-18)*y))\/y*y)\/y)\/y*y)**18 assuming y is positive.\nAnswer: y**(3780\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 8*z. Let h(q) be the first derivative of z*q**2 + 1\/4*q**4 - 1\/3*q**3 + 2 + 0*q. Find c such that h(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 204 = 4*o - 2531, 0 = 3*o + 3*f - 1725. Suppose -o = 4*c - 38. Let n = c - -198. What is the greatest common factor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 9 - 24. Let d(b) = 2*b - 4. Let y(t) be the third derivative of -t**4\/24 + t**3\/3 + 5*t**2. Calculate l*y(n) + 3*d(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d43 - -1?\nAnswer: d44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2. Let y(a) = 1217059*a. Determine y(l(c)).\nAnswer: 2434118*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 70 = -2*x, 0 = 5*q - x - 72 - 54. Suppose -5*b - 25494 = -q*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4*h**2 + 6*h - 1. Determine d(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 12*c**2 - 4*c + 5*c + 32*c**2 + 33*c**2 - c.\nAnswer: 53*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -1\/33, 4 in descending order.\nAnswer: 84, 4, -1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 291606 by -48601.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 24*y**2 - 23*y + 11. What is the remainder when l(23) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*(2 + sqrt(1900)))**2.\nAnswer: 900*sqrt(19) + 47581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1438819, 2878359, 4317899?\nAnswer: 5757439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.316475 grams?\nAnswer: 4316475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 75*b + 2. Let u(m) = 3*m. What is u(x(z))?\nAnswer: 225*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 13 - 16 - 240*l**3 + 242*l**3 + 6*l in the form z*l + t + n*l**4 + k*l**3 + v*l**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 208 (b) 4 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 493 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 788450 - -33205\nAnswer: 821655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 36722000 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 2*(0 + -6). What is the units digit of 4\/(-10) - 94\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 19. Suppose 0 = -4*l + 39 + q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -x - 23, 0*f - 28 = 5*f - 4*x - 124 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55504 - 2345?\nAnswer: 53115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, m: 2, i: 1, l: 6}. Give prob of sequence zzz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-14756)\/(-5712))\/(2\/24)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26\/(-65))\/((-1)\/5). Solve r = j - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let v(i) = -i**3 + 4*i**2 - i - 4. Let j be v(o). What are the prime factors of (-3)\/((-1 + j)\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48548*s + 12138 wrt s.\nAnswer: 48548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 1. Let m be k(-1). Suppose -5*v = -3*v - 4*x + 2, 23 = 5*v + 4*x. Suppose v*c - c - l = 93, m = c + 4*l - 42. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 258.944233 to 2 decimal places.\nAnswer: 258.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + 15 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -14. Suppose 0 = -2*b - 0 + i. Let v be -4 - (4\/6)\/((-6)\/27). Sort b, v, 7.\nAnswer: v, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*y*y**(-1\/9)*y))*y\/y**(-2\/63))\/(y**(-31)*y**(-19)\/y) assuming y is positive.\nAnswer: y**(3523\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -176 and -0.112.\nAnswer: -176.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/3 + j**3\/6 - 4*j**2 + 14*j. Let v(a) = -a**2 - 1. What is -r(s) + 5*v(s)?\nAnswer: -s**2 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0371 + -1.7759. What is h rounded to two decimal places?\nAnswer: -1.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than 19459786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u - 14 = -2*i, 0 = -2*u - 3*i - 5. Let s = u - -9. What is the common denominator of (-636)\/165 - (-2)\/s and -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90544096*-5\nAnswer: 452720480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95.04 * -0.7.\nAnswer: -66.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 54.7. Let b = 2.54 + o. Let x = 0.38 + b. What is x rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 4, v: 1, a: 8}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17241285*t**2 + 54172503 wrt t.\nAnswer: -34482570*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*sqrt(156)*-5 - sqrt(156))\/(sqrt(24)\/(sqrt(2)*-3)))**2.\nAnswer: -84*sqrt(13) + 22933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = g, 6*g - 2*g + n = 15. Suppose -c = 0, 3*k - 1650 - 822 = -g*c. Suppose -4*y = -5*h - 824, 2*y - k = -2*y + h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + 126. Calculate the smallest common multiple of j and 41.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18143984?\nAnswer: 2, 313, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1)\/(-1)*18. Let b = a - 14. Solve -2*i + 13 = -3*j, 4*i - b*j - 25 = j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21 from -379.504.\nAnswer: -400.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39136 divided by -1223.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 36 = 5*i, 3*i - 15 = 4*c + 24 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 19 + 23. Let n(k) be the second derivative of 5\/2*k**3 - 3\/2*k**2 - k**f + 0 - 3*k. Solve n(z) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4463036100 to the nearest one million.\nAnswer: 4463000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 87963.3 to the nearest 1000.\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = y + 4*a - 6*a, 0 = -5*y - 2*a + 296. Let o(i) = -240*i - 5. Let w be o(-1). Let f = w - y. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 4) to base 13\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5503252, -5503242, -5503224, -5503198, -5503164, -5503122?\nAnswer: -5503072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386643.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -20, 2*a + 178 = -p + 3*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 4*s. Let j(a) = -a**3 + 3*a**2 + 2. Let d(g) = 6*g**3 - 18*g**2 - g - 13. Let t(r) = s*d(r) + 39*j(r). Suppose t(f) = 0. Calculate f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:52 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*h**2 - 142*h**2 - h + 3*h**3)*(5*h + 24 - 24)*(-2 - 2*h + 2).\nAnswer: -30*h**5 + 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 = -1. Let m be h\/(3\/(30\/(-4))). Suppose 25 = 5*b - m. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 15 = -2*t - o, 0 = 4*t - o - 84. Let n = t + 12. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.1 + -28. Let u(q) = -q - 8. Suppose 5*o = l + 8, 2*l + 5*o + 1 = -0. Let j be u(l). What is the second smallest value in j, 3, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5)*(1 + 2*r - 1) + 0*r + 0*r + 2*r + (3*r - 5*r - r)*(-3 + 0 + 1) + 3*r + r - 2*r - 4*r + 3*r + 3*r to y + t*r and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17.52 (b) -0.04 (c) 10995\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15300007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 119554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 310 + 27 = 3*x, -5*x + a = -525. What is the least common multiple of 560 and x?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 57*k**2 + 2. Let g(h) = h**3 + 59*h**2 + 1. Give 4*g(q) - 3*t(q).\nAnswer: q**3 + 65*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5924634?\nAnswer: 2, 3, 691, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568565127.\nAnswer: 5431, 288817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, s: 5}. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, a: 1, k: 5}. Give prob of sequence dad.\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0 (c) 2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 5. Suppose 3*h + 20 = -4. Let i be w(h). Is 223\/i + 4\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 - -114. Let o = -43 - c. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-13)*16393\/(-5044)*130?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + j + 1. Let w be v(0). Do 5 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -45*v - 5 + 3*v**2 + 22*v + 20*v + v**3. What is the smallest common multiple of x(-3) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 39 = -0*p - 4*c, 0 = -p + 2*c + 19. What is the derivative of 5 - 4 + p + 7 + 157*a wrt a?\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:11 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*c + 4157 = -3940, -24307 = 3*b - c. Let s = 13489 + b. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 17*y**3 + 6*y**2.\nAnswer: y**2*(y - 3)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*q**3 + 11*q**3 + 16*q**2 + 7*q**3 + 3*q**4 + 2*q**3 - 57*q + 4*q**3 wrt q.\nAnswer: 72*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. Let t(h) = -h**2 - 7*h - 7. Let f be t(-5). Let k be 1 + (0 - 2) + f. Solve -5*z - 7 + 3 = k*r, o*r = z + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 12 = -2*q - 14*o, 5*q - 23 = 4*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(125) + 0 + -5 - ((-1 + sqrt(125) + 0 - sqrt(125)) + sqrt(125)) - (sqrt(175)\/sqrt(7))\/sqrt(5)*-6*-1)**2.\nAnswer: 48*sqrt(5) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 8. Let f be (-2 + 1)\/(b\/4). Let m(v) be the third derivative of v**4\/24 - v**3\/6 - 5*v**2. Determine m(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*u. Suppose 98 = -u*d - 86. Let v be d\/204 + 3\/9. Sort -1\/4, v, -2.\nAnswer: -2, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 173931747?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 47, 79, -2, 2 in descending order.\nAnswer: 79, 47, 15, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 39, 65, 93, 123?\n\"Answer: z**2 + 21*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 320*x + 2976*x + 543*x in the form q*x + f and give q.\nAnswer: 3839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. What is the tens digit of (-652)\/(-28) - m\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -345? (a) -1 (b) 3 (c) -3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 10*m**2 + 5*m - 12. Let p be f(-9). Let z = 29 - p. Solve 0 = -z*y - 7 - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + s**2 + 4828*s**3 - 4798*s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*g - 11. Let a(p) = -2*p - 2. Suppose 0*x + x - 3*d - 5 = 0, 5*x = 5*d - 15. Let k be a(x). Solve k = -3*c - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11568, 22960, 34348, 45732?\nAnswer: 57112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*z + 72*z - 2899*z**3 + 2900*z**3 to the form p*z**2 + u*z + h*z**3 + w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 9. Suppose v - 3*s - 17 = 0, -3 = 3*v + 2*s + 1. Solve -k = v*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530603945.\nAnswer: 5, 71, 1494659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-4 + 3 - 75)) + -8 + -7.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 18*k + 7. Let t be r(-18). Suppose 4*f - f = -9, 2*m - f - 15 = 0. Suppose m*a = t*a + 6. Let h(p) = -p**2 - 5*p - 6. Calculate h(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2171 + -2213 - (-49 + 5 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -558494977*h**3 - 18717275*h**2 - 23*h wrt h?\nAnswer: -3350969862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 12.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23199*o + 6846 - 366858 - 289911 = -23550 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/2 greater than or equal to 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.06241634 rounded to three decimal places?\nAnswer: -9.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6977 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*-6957330\nAnswer: -20871990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from hhehhoheeoheeh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (28 - (48 - 23))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x + 20. Suppose 0 = -4*h + 5*p + 49, -4*h + 4*p = -3*p - 59. Calculate the lowest common multiple of x and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 10:19 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 703043471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2703 - 61?\nAnswer: 2622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1)*-5 + (-6)\/(-3). Let g(w) = 4*w**2 - 6*w + 14 - 3*w**2 - 1. Let h be g(p). Solve -2*a + h = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 i when three letters picked without replacement from pnnnnubpnnpnnnbpuib.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6838954 nanometers to kilometers.\nAnswer: 0.0000000000006838954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*r - r + 0*r)*(r - 3*r + 3*r) + (0 - r + 0)*(r - r + r) + 0*r + 0*r - r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3400 - 2986. Solve -4*j - 20 = 0, j = 4*a - s + 397 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3187116 * 80\nAnswer: -185.496928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose o*v = -4*v + 28. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0*s)\/((s\/(s*s**(-12\/11)))\/s))\/(s*(s**8*s)\/s)**(-1\/14) assuming s is positive.\nAnswer: s**(239\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 37*r**6\/120 + 13*r**5\/30 + 905*r**4\/24 - 1460*r**2 - r. What is the second derivative of l(k) wrt k?\nAnswer: 222*k + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3847183?\nAnswer: 239, 16097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Let o(x) = 35*x - 20. Let d(p) = -6*p**3 - 16*p**2 + 4*p + 14. Let f be d(-3). Calculate f*g(h) - o(h).\nAnswer: -35*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5074555 greater than or equal to -5074555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-250)\/(-150) + (-1)\/1)*27. Solve -62*p = -56*p - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -546627 and 1178.\nAnswer: -643926606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 3}. What is prob of sequence qkkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 21*k**2 + 7*k + 5. Is 35 a factor of c(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -a + 4*f + 12, -3*a - f = 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 5*x**2 - x + 6. Let f be w(5). Let z(b) = 84*b**3 + 1. Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 20, -9 - 11 = -2*p + 2*l. Let h be (-4)\/6*21*-1. What is the highest common divisor of h and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/455235 - -36691871\/15933225. Let u = 4\/25 - s. What is the common denominator of (10\/(-4))\/(8\/104) and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*323\/17?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2\/11, -38, 2\/25?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 4392873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 11 + 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -305350 - 14?\nAnswer: -305364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -9)*(-77)\/3. Calculate the greatest common divisor of h and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 36*a + 203309 - 200204 = 0 for a.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/401226 and 15\/4018?\nAnswer: 2808582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 7:22 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z - 7*z + z)*(-2*z**3 + 6*z**3 - 2*z**3) to the form b*z + j*z**4 + n + l*z**2 + d*z**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.8 - -4. Let d = -1 - j. Let i = 0.034 + -0.134. What is the third biggest value in i, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 1. Let z(a) = -a - 5. Let y(n) = -15*h(n) + 3*z(n). Let p(s) = -2*s**2. Give y(p(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6. Solve -h + p*h = 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 p, and 2 t when four letters picked without replacement from fftffptfffftttttfpff.\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323630 = 5*r + 540*p - 537*p, -2*r + 4*p + 129452 = 0. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i + 29. Determine b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 6*u**2 + 3*u + 7. Let m be x(5). Let i = -2 - m. Let v = 2.95 + 0.05. Which is the closest to i? (a) 0.2 (b) -4\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/23 - 177\/46. Which is the biggest value? (a) -1 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/9141 and -24.\nAnswer: 9141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28173.\nAnswer: 3, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let q be j(-2). Suppose -4*t - 10 = -2*g - 3*t, g - 23 = 5*t. Solve g*k - q - 8 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 + 2e8?\nAnswer: 2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.02 - 4.02. Let s be (-32)\/(-20) + 2 + -4. What is the nearest to 38 in s, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2 - 200*y + 1728 = 0. Calculate y.\nAnswer: -108, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/((-25)\/4))\/((-1260)\/(-150)). Let o = -98 + 103. What is the nearest to -1 in -1\/5, y, o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*g = 643*g - 810 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150\/7*g + 18\/7*g**3 - 4 - 104\/7*g**2.\nAnswer: 2*(g - 7)*(g + 1)*(9*g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 72 = -4. Let h = -145 + u. Let k = -69 - h. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 183352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-1\/3)\/p))**(2\/19)*(p**(-6\/13)*p)\/(p*p\/(p\/p**(-1)*p)) assuming p is positive.\nAnswer: p**(1244\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c + 35. Let z(u) = -4*u - 17. Let k = -17954 - -17941. Give k*z(p) - 6*t(p).\nAnswer: -2*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - 7.96. Let q = 56637\/11 - 5149. Which is the second smallest value? (a) -1\/5 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2)*(-4 + 8). Suppose 2*l = -2*g + 30, -g = m*l + 4*g - 39. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 35*u**2 - 69*u**2 - 55*u**2 + 82*u**2 - 15.\nAnswer: -77*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 - 79. Suppose -k = -2*r - 2*r. Let v = -151 + 263. Calculate the greatest common factor of r and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 - 3444 + 6889 - 3445.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, -1\/7, 1\/5, 2187293, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 17. Let f be a(17). Let w = 0 - f. Solve 8 = -2*s - s - n, n - 1 = w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/8, -2, 3.235, 2\/13, 1.6 in decreasing order.\nAnswer: 3.235, 1.6, 2\/13, -1\/8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/32 + (-39)\/(-24). Let u be ((280\/15)\/(-1))\/(k\/(-9)). Let s(m) = 2*m. Let c be s(6). What is the greatest common factor of u and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3366 - -3365.9. Which is the closest to g? (a) -2\/17 (b) 1\/19 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 + 19*w**2 + 8*w + 22. Let u be f(-6). Solve 177 = u*b + 167 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 12*o + 4. Suppose 117 - 359 - 551 = 61*j. What is t(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1002271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4544 and 2840?\nAnswer: 22720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:39 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 1:05 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 893633447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(48) + (sqrt(3) + sqrt(12) + 3)**2 + -5 - (sqrt(24)\/sqrt(4)*-2)\/(sqrt(4)\/sqrt(2)*5).\nAnswer: 31 + 373*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-180) + 86\/(-12) + 2. Let x(s) = -2*s - 8. Let z be x(l). Solve 6*o = -q + o + 10, 4 = 2*q + z*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5 = -307*r + 305*r, 5*f + 3*r - 4 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10340 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/4, -17, -1, 0.06, -28 in increasing order.\nAnswer: -28, -17, -1, 0.06, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228*a**3*b**2*w**2 + 5*a**3*w**4 - 28*a**3 + 10*a*w - 2*b**2 - 3*b wrt w.\nAnswer: -456*a**3*b**2 + 60*a**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*f, -206*j + 21 = -202*j - 3*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.1 - 4. Let q = 0.094 - 5.094. Which is the nearest to -0.1? (a) l (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-3)\/4). Suppose -k*m - 14 = -6. Let d(p) = -p**2 - 5*p + 1. Give d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r = -3*o + 16*r - 18, -3*o + r - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + -5 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-12) + 148\/111. Suppose -3*k = -3*u - 6, 4*u + 1 = 2*k - 1. Suppose 3*o - 2*o + k = 0. Which is the second smallest value? (a) 1 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 - 8*j**2 + j**2 - 6*j**2.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 170.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17787799 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 + 6*p**2 + 6. Let u(m) be the second derivative of -m**5\/5 - 5*m**4\/12 - 5*m**2\/2 + 14*m + 2. Determine 6*u(w) + 5*x(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o = -44*o + 410. Let w = o - 73. Suppose 6 + w = 5*q. Solve 0*c + 6 = -q*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*l. Let r(q) = -27 - 7*q + 75 + 8*q. Does 11 divide r(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90577585 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245184 is divided by 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-42)\/(-12))*(-2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -0.18, 0.0129, -0.4, 2.7, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -254, 2, 3, -1, 9, -2.\nAnswer: -254, -2, -1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37, -197, -449, -781, -1181?\n\"Answer: 2*x**3 - 58*x**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = r + 9. Let n(b) = b**2 - 19*b + 85. Let f be n(8). Sort 1, f, 5, r.\nAnswer: r, f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - d + 48 + 14 to s + t*d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**2 - 4*c - 3. Let i(q) = -q - 24. Let r(z) = z + 24. Let a(h) = 3*i(h) + 4*r(h). Calculate the remainder when g(-2) is divided by a(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 2 a when four letters picked without replacement from {a: 5, b: 1, u: 11, l: 3}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3363, 7065, 10755, 14427, 18075, 21693?\nAnswer: 25275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*s - 3*a - 286, 4*s - 488 = -4*a. Let r = -116 + s. Does 8 divide 47 + 1*(-2)\/r*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125238.4 to the nearest 100.\nAnswer: -125200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1146 and -367390239010.\nAnswer: -367390239009.8854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 4*t - 1. Let j be c(3). Solve -16 + 1 = -j*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**6 + 7315*c**4 - 12987*c**2 wrt c.\nAnswer: 240*c**3 + 175560*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1 - 4) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b**2*v + 3*b**2 - 14*b*v**2 + 3321*b - 17464*v**4 - 109 wrt v?\nAnswer: 7*b**2 - 28*b*v - 69856*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 68 = -9*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89853782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -62.31 times -9\nAnswer: 560.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*d - 8, -3*d = -2*q - 2*q + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/6*8\/(-6). Suppose n*d - 48 = 4*k, 4*d + 3*k - 5*k - 58 = 0. Suppose -4*x = -d + 1. Solve -x*b + 4 + 16 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o**3 - 12*o**2 - 7*o - 45. Let j(d) = -8*d**3 - 7*d**2 - 4*d - 22. Determine -7*j(y) + 4*u(y).\nAnswer: -4*y**3 + y**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 3*f. Let z be t(3). Suppose z = 3*j + 5 - 2, -3*s + 2*j - 25 = 0. Suppose -k + 7 = 3. Sort s, 0, k in descending order.\nAnswer: k, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7159 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -5, 3, 4 in decreasing order.\nAnswer: 4, 3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311213 - 22232031?\nAnswer: -21320212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-625))\/((-1)\/5)*(-5)\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24559 = -1376*q + 6671 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*o + 12. Suppose -3*n = o*n - 90. Calculate the highest common factor of 12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35918.67 + -35288. Round v to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*-1*(-25)\/10\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 18 = 3*t, 5*x - t - 36 = x. Let y be x + (1 - 0)*-4. Suppose -y*a + 134 = -220. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/3)*u*u*(u*u*u**5*u*u)\/u)**12*(((u*u**0*u)\/u*u)**(-1))**(-26) assuming u is positive.\nAnswer: u**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 22*z**2 - 115*z - 1307. What are the prime factors of f(-20)?\nAnswer: 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166.014559 - 166. What is x rounded to 4 dps?\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(450))\/((sqrt(108) + sqrt(108) + (sqrt(108)*-4 + sqrt(108) - sqrt(108)) + sqrt(108))\/sqrt(12)).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -56356, 2 in decreasing order.\nAnswer: 5, 2, -56356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/27? (a) -6\/11 (b) 0.3 (c) -1\/5 (d) -1\/6 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/752 and -41\/70818942?\nAnswer: 566551536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0329*-2.\nAnswer: -0.0658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7856 - -9897. Calculate the highest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4\/2 + 1917*r**3\/2 + 108777*r**2\/2 + 840807*r\/2 + 366972 = 0.\nAnswer: -577, -53, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 715 + -422. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3358810 and 4798300.\nAnswer: 33588100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -17. Let c = q + -5. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 52 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(78)*-4 - 3*(1*sqrt(78) - sqrt(78) - sqrt(78)))*-6)\/(sqrt(54)*1 - sqrt(30)\/(sqrt(10)\/sqrt(2))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h + 5*h - 12*h)*(-3*h**4 + 0*h**4 + h**4) - 3*h**5 - h**5 + 2*h**5.\nAnswer: -24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 39723*u**3 + 12706392*u**2.\nAnswer: 3*u**2*(u - 12913)*(u - 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 41.4. Which is the fourth smallest value? (a) -0.5 (b) j (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 at least as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from {v: 5, h: 2, x: 1, j: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-3672)*-6)\/((-3)\/18)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 v when four letters picked without replacement from {w: 2, b: 5, v: 3, f: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -38. Let w be 8\/(-6)*40095621\/h. Let t = 11370046 - w. Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*r + 4, -5*d + 36*r + 8 = 40*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5 - 51*c**4 + 318*c**3 - 918*c**2 + 1215*c - 567 = 0. What is c?\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 plus -8580065?\nAnswer: -8580048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1235, -2472, -3709, -4946, -6183?\nAnswer: -7420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 6, s: 2, o: 2, p: 1}. What is prob of picking 2 d and 1 p?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**2*((f**2*f)\/f)\/f)\/(f**(2\/3))**(-6))\/((f\/f**(3\/2))\/f**2)**(-3\/10) assuming f is positive.\nAnswer: f**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdvq. What is prob of picking 1 v and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, 45, 324, 893, 1854?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.6 - -0.6. Sort -3, 4, h in descending order.\nAnswer: 4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znz when three letters picked without replacement from ntzzmvuuttuuzmnmttt?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*f + 1152 + 2406 = 963 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 805291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*-2 - sqrt(132))\/sqrt(6))\/sqrt(11) + 5)**2.\nAnswer: -30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 17042519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 173251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -227 (b) -3\/4 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 588\/29 at least as big as 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 + 207 = -82*m - 93 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Let o(x) = 2*x**3 + 603840*x**2 - 7 - 603845*x**2 - x**3. Give o(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2208 and 736?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.502, -4, -2, 0.06, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(108)*1).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6194 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: What is the highest common divisor of 218120 and 172690?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + q + 2 + (1 + 1 - 1)*(-3 + 3 - 2*q) - q - 5*q + 4*q + 7 - 7 - 9*q + 151314 - 233*q - 151314)*(-1 + 4 - 1) in the form v*q + t and give v.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 157740 and 1448340.\nAnswer: 15931740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 15*j - 2. Suppose j*d = -6*d + 414. Calculate the remainder when 198 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/2674404?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 + -0.05. Let v = -0.09 + g. Round v to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -56*(0 - (-8)\/(-4)). Let p(l) = a*l + 53 - 58*l - 55*l. Let s(c) = c. Give s(p(k)).\nAnswer: -k + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 1267.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*394081\nAnswer: 1576324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 51*w = 4140. Calculate the greatest common divisor of w and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let a(b) = 3*b**2 + b - 1. Let g(f) = -a(f) + v(f). Find the second derivative of g(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2726\/11 + 248. What is the fourth smallest value in b, 2, 1\/2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 8 = -b, 2*b = a + 4*a - 5. Let c = 3 + a. What is the smallest value in c, 3\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2704*u - 2711*u + 2*u**2 + 2 + 5421*u + 22*u**3 to the form x + v*u**3 + s*u + c*u**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12600, -100617, -339522, -804759, -1571772?\nAnswer: -2716005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 2*b**3 + 0*b**3 + (0*b + 4*b - 2*b)*(-2*b**2 + 0*b + 0*b) - 10*b**3 + 7 - 7.\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77517384 to the power of 1\/3, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60956)\/(-111027))\/(((-1064)\/48)\/(-19)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3525665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 989\/8 (c) -2\/5 (d) 2\/9 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 233*b**3 - 11*b**2 + 164. Let u(h) = 233*h**3 - 11*h**2 + 205. Calculate 5*r(g) - 4*u(g).\nAnswer: 233*g**3 - 11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 4*x**2 - 5*x**2 - 4*x - x**2 + 4*x + (2 - 3 - 1)*(-3*x**2 + 2*x**2 + 3*x**2) - 6*x**2 + 4*x**2 + 3*x**2 + (-3*x**2 - x + x)*(-68 + 22 + 497).\nAnswer: -1356*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 609\/113507 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*u + 3 = 0, -z - 5*u = -6 + 18. Let a be -6*(-1 + -1) + z. Solve p - a = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkrrrfrkkkkrrkkkkrr. Give prob of picking 1 k and 1 r.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*q - 5495 = -475, 4*y - 10076 = 3*q. What is the smallest common multiple of 1036 and y?\nAnswer: 17612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkkkjkkkkkjkkkkkkk. Give prob of sequence kjj.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/h*(((h*h**(2\/17)\/h)\/h)\/h)\/h*(h\/h**(1\/2))**46)\/((((h*h**(-5\/3)*h)\/h)\/((h*h**6\/h)\/h))\/(h**(-4)\/((h\/h**(-1\/6))\/h))) assuming h is positive.\nAnswer: h**(2069\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Which is the third biggest value? (a) l (b) 1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/52 - -109\/260. Let f(g) = -g**2 + 6*g - 3. Let u be f(5). Suppose -5 = -3*y - u*y. Which is the second biggest value? (a) y (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448750928?\nAnswer: 2, 173, 223, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838.5479 litres to millilitres.\nAnswer: 838547.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396.7655mg to kilograms.\nAnswer: 0.0003967655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2561*f**7\/7 - 390*f**3 + 2747. What is the third derivative of z(k) wrt k?\nAnswer: -307320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154859466.\nAnswer: 2, 3, 89, 289999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 556937 and 561?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47941 and 222386.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3616979 to the power of 1\/2, to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.27 != 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 4.522155\nAnswer: 2.2610775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368396 divided by 4.\nAnswer: -92099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67507*f + 34391*f + 33116*f + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 90*q**3 + 16*q - 186. Let f(l) = -18*l**3 - 3*l + 37. Let p(n) = -16*f(n) - 3*u(n). Find the first derivative of p(x) wrt x.\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 288.36209 to the nearest 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17225 - -17198) + (1 - (26 + -1)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2457205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*f**4*y + 42*c*f**2*y**3 - c*f*y**3 - c*y**3 + 2*f**2 - f*y**3 - 50*f wrt f.\nAnswer: -24*c*f**2*y + 84*c*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 + 514765*f**3 - 13248378080*f**2 - 39749767260*f = 0. What is f?\nAnswer: -3, 0, 51478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let m = 7 - s. Solve -m*v - 16 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3 + 12. Let i(w) = -6*w. What is i(f(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + (-8)\/3. Suppose 3*c + 5 = -1. Sort c, 1, o in ascending order.\nAnswer: o, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25939 is divided by 1975.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1769*i - 994*i - 151965 = 0 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - -1 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 5048.7?\nAnswer: -5052.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (236\/(-32) - -1) + 6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -105*r + 58. Let s(w) = -w**3 - 6*w**2 + 13*w + 37. Let g be s(-7). Let a be b(g). What is the highest common factor of 53 and a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - j)*(285 + 4*j - 12*j**2 - 282 + 27*j**2).\nAnswer: 15*j**3 + 4*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3b7120 (base 13) to base 11\nAnswer: -8a6686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 8*f**2 - 7*f + 3. Let x be w(7). Suppose -5*g = 4*z + 28, 0 = -5*z - 0*g + 3*g + 2. Let h = x + z. Does h = 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 23*z + 2 + 20*z - 44*z. Determine h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13779.7 - 13768. Let k = -5 - -5.1. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 2*c + 48. Let y be w(-6). Solve y = -3*b + 4 - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271643765 rounded to the nearest 100000?\nAnswer: 271600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -8*q + 112. What is the greatest common divisor of q and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**4 - 4*j**4 - 2*j**4 + (0 - j**2 + 0)*(-4*j**2 - j**2 + 3*j**2) to the form r*j**3 + f*j + o*j**4 + l + b*j**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 - (-31 - -32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gng when three letters picked without replacement from ggnnggngnn.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2468979 = -4*d, 4*d - 2*c = -d + 3086218. Suppose -d = -15*u - 2432244. Round u to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-2 - (6 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-72)\/(-60))\/((-6)\/20). Let i be 1\/6*c - 2\/(-3). Are -1\/106 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 7. Suppose -3*r + 10 = -8. Let k be v(r). Is (0 - k) + (-145)\/(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 496 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 12 = 3*v. Factor 0*k**2 - k**3 + 3*k**3 + k - k**v + 2*k**2.\nAnswer: k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2660, 5310, 7956, 10598, 13236, 15870?\n\"Answer: -2*d**2 + 2656*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-14))\/(((-105)\/133)\/(-5)). Put 4, n, -5, -10, -1\/6 in decreasing order.\nAnswer: 4, -1\/6, -5, -10, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*4\/(-8) + 11. Let y(q) = -q - 2. Let n be y(-4). Suppose -2*f + 54 = -n*j, f + 0*j = 4*j + 33. Calculate the greatest common divisor of f and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-15))\/((-4)\/6). Suppose 3*u + 5 = -1. Which is the biggest value? (a) -3\/8 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 5. Suppose -5*k + 4*k = -w. Calculate the remainder when 35 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(363)*1 + sqrt(363).\nAnswer: 5 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 9, a: 1, n: 4, s: 2, c: 2}. What is prob of picking 1 d, 1 n, 1 l, and 1 c?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/6 - 5*o**3\/3 - 19*o**2\/2 + o - 127. What is the remainder when 111 is divided by p(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 261 - 2?\nAnswer: 25e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2937964 is divided by 90?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 69*u + 839. Give f(-20).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + (0 + -1 - (1217 + -1186))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-98))\/((-714)\/952)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -313, -597, -869, -1123, -1353, -1553?\n\"Answer: j**3 - 291*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*-2 - -2. Let l = 1 - 1. Suppose 0*o + 5*o = l. Sort z, o, -1.\nAnswer: -1, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let i(m) = -413*m. Let j(f) = i(f) - 21*r(f). Let o(b) = -2*b. Determine j(o(x)).\nAnswer: 868*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40204404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**2\/2 + 14*m - 49. Give a(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 3, s: 1}. Give prob of picking 1 g and 1 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/(-3)*56\/(18368\/(-246)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 20\/2*-3. Suppose 3*q - h = q. What is the least common multiple of q and 8\/6*(1 + 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) -0.5 (b) -1 (c) -3 (d) 0.16 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) + 27\/12. Which is the nearest to -2? (a) -2 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -12, -4, 8, 24?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 13604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 14*v**5\/5 - v**4\/12 - v**3\/6 + v**2\/2 - 3*v. Is 19 a factor of h(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4*p + 6*j**3*p + 8*j**2*p + 496*p - 2 wrt j.\nAnswer: 4*j**3*p + 18*j**2*p + 16*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9258859.804 rounded to the nearest one hundred?\nAnswer: -9258900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 1, -170, -415?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45041 times -0.2?\nAnswer: 9008.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10538902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*((2 - -1) + -1 - 1). Suppose -175 = -a*q + 17. What is the least common multiple of q and 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*h = 6, 4*v + 0*h + 6 = -2*h. Let y = -206 - -622\/3. What is the closest to v in -4, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avy when three letters picked without replacement from {g: 1, y: 1, v: 1, a: 1, r: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 76. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((63\/6)\/7)\/(9\/(-8)))\/(1292\/(-102714))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/491491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 166069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*f + 30, -j = -2*j - f + 1. Let n(w) = j*w + 4 - 3*w - 3*w - w. Calculate n(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1670991053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16725 not equal to 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 - 74. Suppose -5*g = -k - 0. Solve -7*u - 4 = -g*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7849082 rounded to the nearest ten thousand?\nAnswer: -7850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/13 + 5184838*s**2\/13 - 258483019166*s - 3877335025590 = 0. What is s?\nAnswer: -15, 1296217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 72*x**2 - 222*x - 29573. Give u(-69).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0*a**3 + 0*a**2 + 0 - 1\/12*a**4 + a. Let d(f) = 2*f. Calculate h(d(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10314)\/(-20055)*(-14)\/(-90)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51321 is divided by 7309?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 149389057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(48) - sqrt(48))*4*3*1 + -1 + -3)**2.\nAnswer: -384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, w: 1, e: 1, v: 1}. What is prob of sequence ev?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3038d6 (base 14) to base 6\nAnswer: 54444004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2615*f**3 + 10962?\nAnswer: -7845*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 5*j, 0*o = -2*o. Suppose t + 0 = 3. Solve 0*k = -2*s - j*k + 16, 4*s - t*k = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108, 290, 604, 1056, 1652, 2398, 3300, 4364?\n\"Answer: w**3 + 60*w**2 - 5*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 5)*(1 - 2 + 2)*(2*i - 2*i - 2*i) - i - 5*i + 3*i + (-2*i + 2 - 2)*(3 + 1 - 5) in the form f*i + k and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j = 5*r - 100, -j = 3*r - 76. Solve -29 = 5*f + m - 5*m, 5*f + r = -m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 179751?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 3*u, 367 = 4*n + 3*u. Suppose 94*z = n*z + 18. Let 2\/7*p**4 + 0*p**z + 0 + 0*p - 2\/7*p**2 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2197ca (base 16) to base 12\nAnswer: 8a2062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2091 and 162741?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 7*s**2 - 7*s - 7. Let v be z(8). Suppose f = 2*l + 12, 4*l + 5*f - v = 3. What is the units digit of (-762)\/(-30) + l\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**45)**(-34)*(h**(-1\/27)*h**11)**(-1\/11) assuming h is positive.\nAnswer: h**(151174\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 12*x - 12. Calculate the remainder when b(7) is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 108. Suppose 2*u - c = 7*u. Let n(s) = s**3 + 15*s**2 + 17*s + 20. Let j be n(u). Is 0.2 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.8 - -4.8. Which is the third smallest value? (a) -1\/2 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.75624 litres to millilitres.\nAnswer: 66756.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 11487857*i + 11487857*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (110\/60 - 1) + 20\/88?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/6*(8 - -4). Solve -2*c - w = -2*q, 5*c + 5*q + 5 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.9470248 and -4.\nAnswer: -1.0529752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/4 - 1050675*o**2\/4 - 2101347*o\/4 - 1050673\/4.\nAnswer: -(o + 1)**2*(o + 1050673)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8437 - 6932. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -689 = -4*t - 5*r, 2*t + 4*r - 259 - 87 = 0. Let j = -3 - -2. List the prime factors of (-2)\/j*t\/18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*20*2\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1608535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000101010111 (base 2) in base 13?\nAnswer: 3b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*n**5 - 27*n**3 + 17*n**2 - 3*n + 22420 wrt n?\nAnswer: -600*n**3 - 162*n + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -470841986, -941683973, -1412525960, -1883367947, -2354209934?\nAnswer: -2825051921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3507173 (base 12) to base 3.\nAnswer: -201012221120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4027 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from egeegsglgsssslesrls?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*6*((-24)\/54)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 4:32 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001000 (base 2) to base 12.\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -88228.\nAnswer: 75\/88228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12825?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412*q + 414*q - 234 = 0. Let k(b) = -61*b + 2*b**2 - 56*b + q*b. Let n(m) = -36*m**2 + 0*m + 0*m. Determine n(k(i)).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 773628 divided by -193407.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*l - 11*l - 90*l to p + s*l and give s.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 + 7*v**3 + 4 + v**3 + 10*v**3 - 2.\nAnswer: 21*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.6678 times 11\nAnswer: 7.3458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 66*d**3 - d - 1 + d**2 - 12*d**3 + 2*d**2. Let s be z(2). Suppose -5*f + 3*u + 706 = 0, 0*f - 3*f - 4*u + s = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - 2*b**4 - 3*b**2 + b**2 + (-7*b**3 - 834 + 834)*(1 - 1 - 3*b).\nAnswer: 18*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -1169, -4047, -9687, -19007, -32925?\nAnswer: -52359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 13*i + 4. Let h = -964 - -970. Determine z(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126758 is divided by 16610?\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = z, -14 = 4*a + 2*z. Let l be 1 - (a - -4) - -2. Let t(u) = 1 + 2*u + l + 3. Let h(m) = 6*m + 11. What is 3*h(k) - 8*t(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477688637 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: List the prime factors of (((-6437)\/(-2))\/1)\/(574\/2296).\nAnswer: 2, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-39)\/(-2) - (-27)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010001000 (base 2) to base 12.\nAnswer: -1688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 73. Suppose 0 = 5*c - 2*c + 6, 5*l + 3*c + o = 0. Let z(w) = -24*w + 15. Does 12 divide z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/(-21) + 4)\/((-2)\/(-3) + 529\/(-805))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -16*l + 11*l. What are the prime factors of (22\/(-1))\/(l\/(-1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 + 316. Calculate the greatest common factor of 18 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a + 58. Let o be q(-13). Calculate the common denominator of 1052\/(-120) + 2\/(-6) and o\/(126\/116) + 6\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 74847?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 6 + (1 - 2). Let r be (-1 + -3)*v*-5. Solve -5*a + a - r = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11297118 > -11297116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + 7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12\/18 + (-75)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 594 and 405?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - r**2 - 28*r + 20. What is the tens digit of u(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9543 - -9547. Let j(y) be the third derivative of 0 - 17*y**2 - 49\/60*y**5 + 0*y + 0*y**3 + 0*y**p. Let t(h) = -h**2. What is t(j(o))?\nAnswer: -2401*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24774, 98912, 222472, 395454, 617858, 889684?\nAnswer: 1210932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103062 - -412253\/4. Suppose -3\/4*n**3 - 1\/2 + i*n + n**2 = 0. What is n?\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1161 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) -0.1 (c) 2\/5 (d) 60682\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2723 - 1412 + 1067)*((2*g - 2*g - g)*(0 - 2 + 0) - 2*g + 0*g + g) to t*g + k and give t.\nAnswer: -3068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -411348957*m**3*p**2*z + 6*m**3*p*z + 2*m**3*z - 2*m*p**2*z - 192*m*p - 2*m*z + 96*p*z + 2*z + 1 wrt p?\nAnswer: -822697914*m**3*z - 4*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -115, -149, -219, -337, -515, -765?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + g = -3, 2*s + 15 = 8*g - 13*g. Solve 5*x - 603 + 593 = s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7. Suppose -3*u - 82 = -4*s - 3, v = -3*s - 5*u + 23. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 378884314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.33 - 5.254. Let t = 0.076 - n. Let z be 0\/(-1) - (-4)\/(-16). What is the closest to 0.1 in -9, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 3:08 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 31 = 13. What is the highest common divisor of 27 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 + (-200)\/16)\/(10\/(-12)). Let l be 13 - 15 - (-1 - c). Which is greater: 5\/2 or l?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*a**2 + (2*a - a - 2*a)*(0*a + a - 2*a) + 4*a**2 + 3 - 3 - 34 + 4*a**2 + 34 in the form z*a**2 + w*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -462 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 60 = 5*t - 11*h, h = -t + 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -1\/6*c**4 + 0*c**5 - 21 + 0*c**6 - 1\/14*c**7 + 2*c - 1\/6*c**3 - 7*c**2. Find the second derivative of u(d) wrt d.\nAnswer: -60*d**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.46 or 3874.4?\nAnswer: 3874.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 - 2*j + 8. Let c be s(0). Suppose 221 = 3*d + 2*t, c*d = 4*d + 4*t + 268. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 + 17*s**2 + 0*s**5 + 1\/6*s**3 - 43\/120*s**6 + 1\/12*s**4 + 0*s. Find the second derivative of f(k) wrt k.\nAnswer: -258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1201*i - 22 = 1190*i. Which is the nearest to i? (a) 1\/8 (b) 5 (c) 3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/5)\/((3\/(-2))\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**12)\/(((o**(-9)*o)\/o)\/o*o)*o\/(o\/((o**(-17)*o)\/o))*o**(-2\/13) assuming o is positive.\nAnswer: o**(63\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 b, and 2 z when four letters picked without replacement from bzbfzzbbxb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -613950 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 - 2*t**3 - 3*t**2 - 24 + 2*t + 24 to the form h*t**2 + z + p*t**3 + m*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135 + -142. Let n(y) = 7*y**3 - 7*y**2 + 7*y + 7. Let i(f) = 3*f**3 - 4*f**2 + 4*f + 4. What is l*i(s) + 4*n(s)?\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*m + 178, 2*m + 2*q = 4*q + 70. What is the greatest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 27*g + 24. Let k(u) = -4*u + 3. Let s(t) = 2*k(t) + o(t). Determine s(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 22 = -2*t, t = -u - t - 7. Let l(c) = 4*c + 3. Determine l(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26533804?\nAnswer: 2, 11, 17, 19, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 65097977 to the power of 1\/2, to the nearest integer?\nAnswer: 8068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 2*o**2 - 5*o - 6. Let b be c(5). Which is smaller: b or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, -5, 18.623, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -616514059.5174285 + 616514253. Let z = 55.5169695 + n. Let y = z - 249. What is y rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttxttttttxttxtt. What is prob of sequence xxt?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/3*(-3)\/(-2). Suppose 4*c + 7 = 5*w - 12, w = -3*c. Suppose 0*d - l = -w*d. Solve 9 = -z - 3*z - 3*i, -d*z - 7 = 2*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/37)*h)**(-1\/48)*h**(-28)\/(h\/h**(1\/11)*h*h) assuming h is positive.\nAnswer: h**(-201423\/6512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*w + 52, 4*w - 92 = -8*h + 10*h. Suppose w = -6*c + 3*c. Is c >= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 11542 = -11744 - 31314. Does 30 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -w + 5*b, 0 = -w + 5*b + 5. Suppose w*x = -q - 4*x - 15, -5*x - 23 = -3*q. What is the smallest common multiple of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3179735 divided by 355?\nAnswer: -8957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -231?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 0 - ((-16 - -2) + 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 4179.\nAnswer: 1\/1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -4\/7 (c) 0.3 (d) 26.4 (e) 0.1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1.01. Let f = 0.1 - q. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 8, c: 1, r: 6}. Give prob of sequence ar.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 125?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2374598?\nAnswer: 2, 173, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 2*p + 5*h - 5, p - 2*h = -9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100403023 or -100403024?\nAnswer: -100403024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3 - 0) + 6 - -861) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*f = -3, -o - 4*f - 4 = -5*o. Suppose -t = -2*k + 17, o*k - 5*t - 19 = -4*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323000232 (base 4) to base 13.\nAnswer: -148450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5689 - 2161 = 14*d. What is the least common multiple of d and 714?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -676, -782, -888, -994, -1100, -1206?\n\"Answer: -106*b - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 8. Let j be w(-6). Let i = 15 + j. What is the derivative of i*c - 2*c + 8*c + 17 - 4*c wrt c?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/4*(-6)\/14*(-3976)\/213.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 8. Let h be t(-10). Let r be 2\/(-7) + h\/42. Suppose 0 = -r*u + 5*u - 20. Solve -k = -8 + u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -556 by 1.\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*b**3 - 100572*b**2 + 25144*b.\nAnswer: -4*b*(b + 6286)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/42 and -19\/728.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5844 by -4.\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83332523?\nAnswer: 67, 409, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0 + 138*p**2 + 1 - 424*p**2 + 142*p**2 + 140*p**2. Let g(b) = b**2 - b + 1. Calculate g(u) + m(u).\nAnswer: -3*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -4 (c) 3\/332 (d) 0.379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3514\/26 - (-10)\/(-65). Calculate the greatest common factor of f and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*s**3 + 36345*b**3*s**2 - 16*b**3 + 7*b**2*s**3 - b**2*s**2 + 116*b*s**3 - 17*s**3 - 12*s wrt b.\nAnswer: -12*s**3 + 218070*s**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2451358 centuries in months?\nAnswer: 294.16296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.1 - 0.1. Let b = -10 + x. Let w = 3.9 - 4. What is the closest to w in b, 3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 6*f**2 - 12*f + 5. Let b be v(8). Suppose -b = -4*p - 5*x + 3, -2*x = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -1\/2*j**3 - 1\/90*j**6 - j**2 - 5\/6*j**4 + 0 - 1\/5*j**5 + 0*j. Let n(y) be the first derivative of s(y). Factor n(v).\nAnswer: -4*(v + 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 3*p - 572. What is the remainder when 94 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -14. Let g be z*(-5)\/(15\/6). Suppose 0 = -h + 3*h - g. Which is smaller: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*s + 306*s - 163*s.\nAnswer: 477*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - y - 6 = -3*y, -4*y + 12 = 3*o. Solve o = 16*q + 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -434.8 rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17590777367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 88*b - 8. Give q(9).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -45\/179?\nAnswer: -45\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(sqrt(405) + -2*sqrt(405)) + 4)**2.\nAnswer: 108*sqrt(5) + 3649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802595.2 tonnes to kilograms.\nAnswer: 802595200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -135\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, 6817\/9, -3, 4\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 493 and -48117778105.\nAnswer: -48117777612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 2*l + 3*l)*(-20*l**2 + 12*l**2 + 13*l**2)*(5 - 7 - 1).\nAnswer: -15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71094888 by -11849148.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 6*t**2 - 31*t - 344. Calculate the remainder when 1172 is divided by d(12).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*u - 2*u. Let o = 28 + -15. Calculate the remainder when o is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.096 - -27.096. What is the biggest value in 0.2, -4\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*a - 4*a**3 - 111*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t**2 + 29*t - 112. Let s be b(9). Let n = s - 630. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12328\/5 + 49307\/20. Which is the closest to 6? (a) 3 (b) x (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1268273*j**4 + 1081258 wrt j.\nAnswer: 5073092*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -2\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163*q + 11*q**2 + 163*q)*(2*q**3 - 4*q**3 + q**3).\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(325) + 0) - ((sqrt(325) + 0)*-4 + sqrt(325)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-104)\/(-16)*-2 + 5. Does 33 divide (82 - (v + 11))*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75985 - 0.3?\nAnswer: 75984.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 + 0*b**2 + 6*b**2)*(-15*b + 7 - 7)*(65 - 65 - 26*b).\nAnswer: 780*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from lnrrynr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 245 (c) -8 (d) 3 (e) 1\/10 (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -233, -338?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5 - 35*c**2 - 5. Let i(o) be the second derivative of -o**3\/6 + 24*o. What is i(y(r))?\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/(-4368))\/(320\/210).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15455015411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 111101110001110?\nAnswer: 111101110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8208\/(-2106) - ((-2)\/7)\/((-3)\/21). Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1561*n + 985*n + 4412*n.\nAnswer: 6958*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*f - 120 = 69*f. What is the greatest common factor of 680 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/64 and -109\/144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*k - 113*k + 204 = 0. Find the third derivative of -89*z**6 - 15*z + 5*z + 5*z**2 - 9*z - k*z wrt z.\nAnswer: -10680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/32 - 5*i**3\/2 + 123*i**2\/16 + 273*i + 11. Let n(z) be the first derivative of u(z). Suppose n(x) = 0. What is x?\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06 or 948.9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295339 is divided by 42189?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 + 3*r + r**2 - 5*r**2 + 2 + 2*r + r**3. Let l be j(-5). Find the second derivative of n**2 + 4*n - n**2 - 3*n - l*n**4 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.075 + -0.925. What is the closest to -0.1 in 5, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67512 and 757?\nAnswer: 51106584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323310213 + 10?\nAnswer: 323310223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 614*m**2 + 3*m - 478. Let p(s) = s**2 + 2*s - 4. Let q(y) = p(y) - r(y). What is the second derivative of q(z) wrt z?\nAnswer: -1226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/357 and 79\/1190.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b - 1. Let y(z) be the third derivative of 19*z**5\/60 - z**4\/24 - z**3\/6 + 4*z**2. Calculate the remainder when y(-1) is divided by m(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*a**3 - 3 + 241*a - 241*a in the form d + m*a**2 + b*a**3 + c*a and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23994*o - 27 - 27 = 23967*o. Factor 66\/5*a - 363\/5 - 3\/5*a**o.\nAnswer: -3*(a - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*-2.686\nAnswer: -7.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 19. Solve -2*b - 35 = 3*k + 2*b, 5*k - b = -r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.69 - -477.69. Let x = b - 475.00233. Round x to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 35. Solve -z*u - 5 = -3*j + 7, 3*j - 2*u - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 114*d**2 - 38*d + 261. Is n(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30806 and -0.7502?\nAnswer: 23110.6612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 2, q: 6, j: 5, k: 3, r: 2}. Give prob of sequence km.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 197 - 100 = 103. Let d be (2\/1 + -2)\/1. Which is smaller: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8*o*o**(-1\/3))\/(o**(-1\/3)*o*o)**(-46))\/((o**(-1\/3))**(-19\/3)\/(o**0)**(-14)) assuming o is positive.\nAnswer: o**(749\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 54*u + 9)*(-4*u + 3*u - u) + (-3*u - 2*u + 4*u)*(2*u + u + 4*u) + 2153 - 2153 - 4*u**2 in the form p*u**2 + t + l*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9486360 rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 8*t**3 + 2*t**2 + 5165*t**4 - 2*t**2 - 2*t**5 - 5171*t**4 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6004 and 39181472?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -52314.61203.\nAnswer: -52326.61203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -12 - 23 - (-19 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3053*l**2 - 588*l - 20734694.\nAnswer: -6106*l - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3153 = 3*z - 4050. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -1. Let c(h) be the second derivative of h**4\/12 + 3*h**2\/2 + 3*h. What is c(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226478334.\nAnswer: 2, 3, 43, 877823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4053 + 4053.0000003051. What is x rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4017336, 4017340, 4017344?\n\"Answer: 4*r + 4017332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, l: 7, b: 4}. What is prob of picking 3 b and 1 d?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*m - 2*m**3 + 28604 + 3*m**2 - 28604 to the form n*m**2 + r + a*m + t*m**3 and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 543 - 170. Let m = b - 303. Calculate the remainder when m is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -3 + 44\/11. Solve -5*n + 12 + 13 = k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242409*q**2 - 2 - 4 - 1.\nAnswer: 242409*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -649378.363 to the nearest 100.\nAnswer: -649400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*a + 63, -4*i - 52 = -4*a + 8*a. Let f be (i\/(-36))\/(2\/24). Calculate the remainder when 69 is divided by (-126)\/27*(-6)\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102\/15 - 4 - 370\/25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 10:32 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7932, 15863, 23798, 31737, 39680, 47627?\nAnswer: 55578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 = 2*h - 3*w, -5*h + 8 = 2*w. Suppose 2*f + 4*a = 134, 6*f - f - h*a - 299 = 0. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7077071116?\nAnswer: 2, 1769267779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13031 (base 4) to base 3.\nAnswer: -122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/21)\/w)\/(w*w**17))\/(((w**(5\/6)*w)\/w)\/(w*w*w\/(w*w**(-11))*w)) assuming w is positive.\nAnswer: w**(-241\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9550*k - 31527 = -9553*k. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen sixths of a hour?\nAnswer: 190","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -4363 + 4362.7962. What is p rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8706 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 138792 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15870589 from 14444592.\nAnswer: -1425997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (72\/(-90))\/(4\/(-50)). Suppose -263 = -2*p + z, 7*z = p + l*z - 135. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -5)\/3*2\/(-1). Let d(x) = -x**2 - x + 3. Let p be d(a). Are 1\/265 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 93 - -3) + -10 + (0 - 6) + -4?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -23*a**2 + 0*a - 2\/5*a**5 + 0*a**4 + 0*a**3 + 0 - 1\/3*a**6. What is the third derivative of m(g) wrt g?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264 - 206. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 2249801 = 24*h + 5*t, -t - 1124869 = -2*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 9*z + 8*z + 11.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2361, -18846, -63583, -150696, -294309?\nAnswer: -508546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p**2 - 2*p - 3. Let m be i(-2). Let g(x) = -103 + 101 + 7*x**3 - 8*x**3 + 12*x - 9*x + 7*x**2 - 9*x**2. Give g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -338 (c) -0.3 (d) -16 (e) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/120 + n**4\/24 + 31*n**3\/6 + n**2. Is r(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 528146086?\nAnswer: 528146087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjx. Give prob of picking 1 j and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*u + 7*u - 84. Which is the nearest to 3\/23? (a) -1\/3 (b) u (c) 0.1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79ba76 (base 12) in base 2?\nAnswer: -111011011110100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:54 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100 (base 4) in base 14?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56a8 (base 14) to base 11\nAnswer: -10337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4 (c) 0.4 (d) -1500\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-6)\/(144\/(-20)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 2546406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 430070?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-874)\/95 - (5 - 22). Factor 3\/5*b**2 + 42\/5*b + f.\nAnswer: 3*(b + 1)*(b + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 3 + -6)*(4 + -2). Let p = -1 - -2. Let i**2 + i**5 - i**3 - i**m + 0 - 1 + p = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*g - 35 = -56, -2*m + 4*g = -22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 56*p + 57*p + 109 = 0, -28 = 3*z + 2*p for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 14 = 4*b, -4*k + 3*b + 34 = 5*b. Suppose -5*r - s - 15 = -k*s, -5*r = 5*s + 35. Let l = r - -9. Solve -4*v + 7*v - 6 = -3*a, a - l = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**3))\/j**8*j**11*j**0)**47 assuming j is positive.\nAnswer: j**282","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 15, 4*d = -0*p + 5*p + 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12\/g**(-5))**(-13)*((g\/g**(2\/5))**(1\/31))**(-26) assuming g is positive.\nAnswer: g**(-34333\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**4 + 19*b**3 - 49*b?\nAnswer: 36*b**2 + 114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + d**2 - 2*d + 4. Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 326 - 1388?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/10 in 1, -151\/5, 946, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 294 + -257. What is the greatest common divisor of z and 259?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 1. Let d = -0.1 - -2.1. What is the biggest value in s, 1, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-9*15\/243*-3.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 + 1208 = 291*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -2. Let t(b) = -b**2 - 3*b + 4. Let o be t(g). Suppose 4*d = d + z + 9, -5*z = o. Solve d*y = -9 - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/201 and 65\/9.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98 + -80 - 5*1) + -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 8777336*x**2\/9 + 1950520*x\/9.\nAnswer: -2*x*(x + 487630)*(9*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 254497880 and 440?\nAnswer: 2799476680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2933600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 - 246 + 167*b.\nAnswer: 167*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 3*u**2 + 5*u - 5. Let h(p) = p**2 - 3*p + 6. Let f be h(3). Let r = f + -2. Give w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 268.05 + -267.24458. What is a rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -203 - -202. Let r(l) = 3*l + 4. Let v be r(6). Which is the second smallest value? (a) m (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22179*d*f*n**2 + 2*d*f*n + 34*d*f - 2*d*n**2 - 8*d + 30*f + 2 with respect to n.\nAnswer: 44358*d*f*n + 2*d*f - 4*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 0.4, 7 in decreasing order.\nAnswer: 7, 0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p - 251*p - 211*p)*(-1 + 1 - 2*p).\nAnswer: 942*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-74 - -8) + 64 + 1 + 14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2625, -2269, -1913?\n\"Answer: 356*h - 2981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k + 6. Let s be q(13). Let r = s + -81. Solve 11 = 5*n + r*c, 4*n = 3*n + 2*c + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277087891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**3 - 3*x - 3*x**3 - x**3 - x**2 + 6. Let j be i(4). Let k = -33 - -50. Calculate the greatest common divisor of j and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 115) + (125 + -63 - 21).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/(-12))\/(3\/16). Suppose a*c = 3*c + h + 58, c = -4*h - 1. Suppose -f = c - 7. Put -2, f, 4 in decreasing order.\nAnswer: 4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1277 divided by -4\nAnswer: 1277\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84\/41 or 1?\nAnswer: 84\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = h - 6*t, 3*t = -2*h - 15. Let v be 74\/66 - (-1 - h). Let m = v + 85\/66. Calculate the common denominator of m and -89\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhttttttttttth. Give prob of sequence hth.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(3\/6) - -5201. Suppose 26*t = 23*t + 33. Let k(a) = 5199 - t*a - p. Let q(d) = 2*d**2. Calculate k(q(m)).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3065 rounded to 2 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 567499 times -4?\nAnswer: -2269996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 53158928.\nAnswer: -21263571.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -321 - -343. Suppose -28 = -2*x + x. Calculate the least common multiple of x and k.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2. Let g(l) = 596*l. What is v(g(s))?\nAnswer: 1420864*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -588269*w**3 + 529581*w wrt w.\nAnswer: -3529614*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 q, and 1 g when three letters picked without replacement from {v: 6, g: 1, q: 10}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - x = -0*x + 2, 3*x + 3*x + 24 = 5*x + 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a - 21. Let o(s) = s**3 - 3*s**2 - 12*s + 4. Let c be o(5). Let i be l(c). Suppose -11*v = -6*v + 10. Put v, i, -2\/9 in increasing order.\nAnswer: v, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.8 - 24. Let a = k - 0.8. What is the second biggest value in 3, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448358 + 29*i**2 + 448358.\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -5, 2\/23, 0.4, -0.1, -610?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 366672 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3041500 rounded to the nearest 10000?\nAnswer: -3040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + 5 + (2 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -29. Calculate the remainder when 24 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 6*g + 56 = 0. Suppose -5*j + 9 = -3*s + 38, 0 = -5*j + 5*s - 25. Let q = j + g. Let v(a) = -a**3 + 6*a**2 + 8*a - 5. Determine v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 3\/5, -4, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + 0 + (2*sqrt(98) - sqrt(98))) - (sqrt(98) - ((1*sqrt(98) - sqrt(98)) + 4)))*-3 + -4)**2.\nAnswer: -1344*sqrt(2) + 3784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + 197. What is the remainder when b is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -233, -2\/29 in increasing order.\nAnswer: -233, -2\/29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 1. Let t(x) = -2*x - 8*x - x**2 - 9*x + 15*x + 4. What is 12*o(c) - 3*t(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*z - 238. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.558 + -1.058. Suppose 3*k - 77 + 12 = w, 4*w = 16. Let t be k\/5 - 4\/(-10). Put t, -2, h in increasing order.\nAnswer: -2, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2196 (b) 5 (c) 11 (d) 3 (e) -1 (f) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -64. Suppose a = -3*a + 80. Suppose b - 2*s = 24, 0 = -3*b + 2*s + a + 64. Calculate the highest common factor of o and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -2*i. Suppose i = -2*a - 6, l + 3*a - a - 8 = 0. Suppose -17*z = -l*z - 240. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9720 - 9718. Solve -w + l = -2, -29*w - d*l - 10 = -33*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 14.4. Let q = t + 10. Let n = 108 - 113. What is the third biggest value in -6, q, n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - 1926caa?\nAnswer: -1927015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264900 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 7*s - 5*s - 4*s. Let p(q) = 5*q**2. Give x(p(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 317 + 10*p - 12*p - 231. List the prime factors of k(-21).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 20208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-14*(-33)\/924).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*s - 38. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4848, 9691, 14530, 19365, 24196, 29023?\n\"Answer: -2*o**2 + 4849*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**2 - 4720*j + 120016 = 0.\nAnswer: 26, 1154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3951, -14442, -42911, -98346, -189735, -326066?\n\"Answer: -1498*z**3 - z**2 - 2*z - 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - -48) + -56 + 52?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-27)\/(((n*(n*n*n*((n*n**(-1))\/n)\/n*n)\/n*n*n)\/n)\/n)**41*((n**(-1))**(-40))**23 assuming n is positive.\nAnswer: n**(3325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.563 - -5.863. Which is the nearest to d? (a) -195 (b) -4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:22 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262 + 1. Let d be 8\/1 - (-3 + 3). Find the second derivative of 263 - q + 3*f + d*f**2 wrt f.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l**2 - 3. Let x(h) = -7*h**2 - h + 4. What is 3*u(r) + 2*x(r)?\nAnswer: 10*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1101112?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41411 + -28194. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19381168 - -15?\nAnswer: -19381153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11264500 rounded to the nearest 10000?\nAnswer: 11260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 15. Suppose 0 = -k + 2*z - 1, -31 = 5*k - 0*k + 3*z. Let l be r(k). Solve 4*f - 6 - 6 = l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84100*b**5 + 505180*b**4 + 3481*b**3 + 6*b**2.\nAnswer: b**2*(b + 6)*(290*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 7*o**2 - 2*o - 3. Let v be m(-7). Let y(c) = -c**2 + 12*c - 5. Let i be y(v). Suppose -111 = i*a - 7*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2933, 2934, 2935, 2936, 2937?\n\"Answer: i + 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, 1, 3, 1540, -2, -5, -7 in decreasing order.\nAnswer: 1540, 3, 1, -2, -5, -7, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7459871, -7459890, -7459909?\n\"Answer: -19*h - 7459852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 2*m**2 + m - 2. Suppose -4*l = 2 + 6. Let o be h(l). Let q = 5 - o. Sort q, -4, -5.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:44 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 69538294 in decreasing order.\nAnswer: 69538294, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -50*r**2 + 269*r + 25. Give x(5).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3 - 42*d**2 + 824*d + 3840 = 0. What is d?\nAnswer: -32, -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s - 21. Let v be j(-3). Let r = -9 - -16. Let h(k) = 2*k + 4*k**2 + 0*k + k**3 + r + 2*k**2 + 1. Determine h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73964909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 64*i + 9 + 12 + (-11 - 10 - 4)*(-2*i - 2 + 2))*(0 + 1 + 4) - 2 + i + i - 4*i + (-2*i + 0*i + i)*(-4 + 5 + 0) in the form b*i + c and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155838 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 124\/21 + -46\/7. Which is the smallest value? (a) w (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bci. Give prob of sequence bbi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/1083*19)\/((-2)\/96).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4\/3)*n**(-8\/9)*n)**(1\/7) assuming n is positive.\nAnswer: n**(-2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*g + 17620*g**3 - 17623*g**3 + 435*g.\nAnswer: -3*g**3 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 9. Suppose -2*r - 4*a = -a + 20, -2*a - 28 = 5*r. Let w be f(r). Let c(u) = 2*u. Let p(q) = -q**2 - q. Calculate w*p(d) - 2*c(d).\nAnswer: 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 9*a - 6*a. What is the highest common factor of a and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7787505 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -7. Is -5 + y + 3 + 49 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-14)*2\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u**2 + 162*u - 536. Let m(n) = 11*n**2 - 108*n + 355. Let g(x) = 7*m(x) + 5*r(x). Factor g(c).\nAnswer: -3*(c - 13)*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 14*n - 22. What is m(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from ssfnsssssnnsfnnsnss?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/5 + 565026*p**3\/5 - 339018*p**2 + 1695094*p\/5 - 565032\/5 = 0. Calculate p.\nAnswer: -282516, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 924\/(-594)*(-6)\/7\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*q = -647 - 739 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = -2*q. Solve -3*r + q = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**5 - 90*l**4 - 505*l**3 - 660*l**2 + 1260*l = 0. What is l?\nAnswer: -7, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 45*w - 53. Let t(k) = 343*k + 7592. Let d be t(-22). Calculate i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 17 + -5 + 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 326275720*b**3 + 13306980682689800*b**2.\nAnswer: 2*b**2*(b + 81568930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-53982)\/(-63))\/2)\/(1\/7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + (12 - (-830)\/(-35)). Let h be 4\/18*-6*(-3)\/22. What is the second biggest value in z, 42, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 4, v: 5, s: 4, p: 2}. Give prob of picking 1 g and 2 p.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 416866 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*k + 22 = 3*k, -2*k - 20 = -2*v. Suppose 0 = -v*h - 0*h + 240. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by -790\nAnswer: 67\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2316 and 81\/3860?\nAnswer: 11580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (213 + -180 - 4756\/144)*16\/18?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 144. Let y = 195 - h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*v = -0*v + 53, 0 = -3*x + 4*v + 79. Is 3 a factor of (-2 - x)\/(0 - 6\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -x + 1 - 8, 3*u - 3*x + 9 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -961 + 961.1. Let m = 18 - 16. Let y be 23*(-1)\/m*2. Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 at most as big as -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 701942.4 grams in milligrams?\nAnswer: 701942400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 2*m + 2. Is y(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 821.8076 days to nanoseconds.\nAnswer: 71004176640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.65375 + -0.030229.\nAnswer: -25.683979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2772 and 1483251?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*x. Suppose 2*m + 3*v = -x*m + 9, -5*m + 25 = 5*v. List the prime factors of (0 + 39)\/(m + -5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**8\/168 - s**5\/60 - 5*s**2\/2 + 4. Let y(l) be the second derivative of m(l). What is the third derivative of y(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*u - 2*a, -4*u + a + 8 = -13 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510582.2 + 5.\nAnswer: -510577.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 16*r**2 + 19*r + 74. Suppose u - 180 = -3*x, 0 = -u - 12*x + 16*x + 194. What is the remainder when u is divided by g(-17)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, p: 1, a: 1, j: 2}. Give prob of sequence azjj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 728*f - 33. Let v be n(5). Suppose -248 + v = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoo when three letters picked without replacement from {o: 9, y: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -10*a + 4. Let l be w(-4). Suppose -34*b + 440 = -14*b. Let g = l - b. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtwtwwwwtwwtcwwtw. What is prob of picking 2 t and 2 w?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.43 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154539 and 61303?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -427*l**2 + 9926*l - 2409. What is i(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/5 and 101\/126214.\nAnswer: 631070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 57240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + o - 12. Suppose v - j - o*j = 21, -3*j - 32 = -4*v. Let i(h) = h**3 - 5*h**2 + 5. Is i(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -298, -337, -380, -421, -454, -473?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251.77 + -412.69. What is h rounded to the nearest integer?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2176 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + -3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 1551*s**2 - 740*s**2 - 10*s - 811*s**2 + 10*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43 from -0.49.\nAnswer: -43.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 - -242. Let k = 447 - q. Put 0.7, k, -4, 2 in descending order.\nAnswer: 2, 0.7, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 283*i**5\/60 - 23*i**4\/12 + i**3\/2 - 30*i**2. What is the second derivative of t(z) wrt z?\nAnswer: 566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 64 = -8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -465\/4598 - 1\/242. Let v = -9 - -7. Let i = -3 - v. What is the smallest value in 3, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, w: 1, c: 1, j: 2, d: 2}. Give prob of sequence wj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 187*r - 23 - 17*r + 25 - 1 + 1 - r + (-6 + 2 + 3)*(0*r + r - 3*r).\nAnswer: 171*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4804\/329845 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186321271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100212416 is divided by 210.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 4*l + 9*l. Let s(d) = 4*d. Let t = -11 + 19. Let u(r) = t*s(r) - 3*y(r). Let m(j) = j**2. Calculate m(u(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*k = -50*k, 0 = -4*b - 5*k + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1106\/(-35) + (3\/5 - 1). Let h = q + 165. Suppose 18 = -2*v + 3*m + h, 3*v = m + 155. 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 comes next: 75383, 301488, 678329, 1205906, 1884219, 2713268?\nAnswer: 3693053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 287*p + 71. Let z(x) = -574*x - 137. Let h(i) = -7*y(i) - 3*z(i). Differentiate h(r) wrt r.\nAnswer: -287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-20))\/(4\/5) + 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 12*o + 14. Let g be b(-10). Let z be (14*6\/18)\/(1\/g). Let k = 119 + z. List the prime factors of k.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36644 or -36629?\nAnswer: -36644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4419 is divided by 170.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 51950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwdwjzwwwjkwcw. What is prob of sequence jjdw?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 2*q + 7*q - 4*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 16191?\nAnswer: 4\/1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 + -28 + 3 + 20 - 10\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 574369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 2716 = 4*b. Suppose 76 - 1 = 3*i. Calculate the remainder when b is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 112.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1696980, 1695677, 1694386, 1693113, 1691864, 1690645, 1689462?\n\"Answer: q**3 - 1310*q + 1698289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37280 - 37267. Solve 3*m + 11*t = j*t - 3, 4*m + 2*t + 18 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 + 142. Suppose w + 3 = 0, -5*l + 0*w + b = -3*w. Suppose 2*z = l*z - 165. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27686 - -27688. Let r be (-11)\/(-3) + 1\/3. Solve 2 = -3*q + t, 4*q + 0*t = i*t - r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 2*k - 28, -d - k = -0*k - 9. Let v(n) = n**3 - 7*n**2 - n - 3. Is v(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 9*w**2 + 9*w + 12. Let j be o(10). Let f = j - 2. Let l be (1 - -2*1) + -2. Which is the nearest to f? (a) l (b) -0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -11\/8, -1, 1\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 811.2164 millimeters?\nAnswer: 81.12164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 189*y - 187*y = 11, -y = -3*r + 5. Let p(i) be the first derivative of -1\/2*i**2 + 0*i - 13\/3*i**r + 3. Find the second derivative of p(h) wrt h.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose w + v*w = -5*b - 16, -4*w = -3*b + 2. Let x(n) = -5*n + 3. Let y(m) = -4*m + 2. Determine b*x(c) + 3*y(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*p - 25712 = -25772, -5*p = -4*x - 78 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 447225.6 grams?\nAnswer: 447.2256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 145*n + 3. Let x(k) = -48*k - 1. Let f(v) = 4*g(v) + 11*x(v). Let m = 17 + -16. Is f(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 1 - 1)*(-2*l**2 + 11*l**2 - l**2) + 0*l + 0*l + 3*l**3.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 37944269, -0.2, 0.3 in decreasing order.\nAnswer: 37944269, 2, 0.3, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -19*m - 716 - 256 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 207*c**2 - 83.\nAnswer: 414*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496869.\nAnswer: 3, 19, 23, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/(1*8\/6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 185691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:12 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78078058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1035 and -143\/72?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 109 - 25. Let z = -7 + m. Let c = -11 + z. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57169 + -57170. Let b be (2\/(-20))\/1 + 0. Which is greater: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzllzzl. What is prob of picking 2 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -914*f**3 + 380*f**3 + 70*f - 2945*f + 2*f**4 + 825*f**2 + 3750 + 3*f**4 + 429*f**3.\nAnswer: 5*(f - 6)*(f - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (68755\/(-20))\/(11\/(-1848)). Suppose 5*w + r = 47*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, c: 2, i: 6, u: 2}. Give prob of picking 1 c and 2 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2354 times 0.7\nAnswer: -0.16478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 29*h**2 - 8895*h + 268915. Give k(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 7*r**2 + 2*r + 17. Suppose -98*c + 981 = 295. Give m(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4 - 1. Let g be (m - -2)\/(0 + 1). Suppose -j + g = -1. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocfoc. What is prob of sequence cc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359256 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 81501.96 millennia in years?\nAnswer: 81501960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -28.38. Let q = v + 0.18. Which is greater: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1024, 856, 610, 292, -92, -536, -1034, -1580?\nAnswer: -2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*r**3 + 4*r + 27*r**3 + 2 - r as z*r**3 + w*r**2 + d*r + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:15 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**7\/2520 + o**6\/120 - 19*o**4\/24 + 24*o**2. Let k(z) be the second derivative of f(z). Solve k(u) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 0, -11, -30, -57?\n\"Answer: -4*y**2 + 9*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n = 1910. Suppose 0 = -h + 3*h - n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 7*n**3\/6 + 7*n**2\/2 - 31*n. What is the units digit of w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + 3*a**2 - 5*a**2)*(2*a - 2*a - a**2) + 3*a**4 + 550*a**2 - 550*a**2 + (0*a + 2*a**3 + 0*a)*(-5*a + a + 5*a).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 80659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(2\/15)*x))\/x*x)**(10\/7)*x**(2\/17)*x**(-17\/3)\/x assuming x is positive.\nAnswer: x**(-972\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -20*b + 17*b. Let d be (28\/b)\/(3\/(-9)). Let w(r) = r**2 - 4*r + 8. Let g be w(6). Solve 2*j - g = d*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*v**3 - 239409*v - 25622226 wrt v?\nAnswer: -9*v**2 - 239409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51941891*m*u**3 + 396*m*u**2 + 10444*m*u + u**2 + 6*u + 2 wrt u.\nAnswer: 311651346*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1 - 2*j + j**2 - 2*j**2 + 0 - 9*j**3. Let k(h) = h**2 - 5*h + 5. Let u be k(2). List the prime factors of w(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -4\/5 (b) -3 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 1.5?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1. Let y(u) = -u - 3. Let i(w) = -18*g(w) + 2*y(w). Let v be i(0). Solve 0 = -4*r + 4 - v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 29*w**2 + 201*w + 8. Let g be t(12). What is the second smallest value in 4, 0, g, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/667)\/(102\/204)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-66)\/(-96))\/(-11))\/(2\/24*2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -222*f - 6. Let b be r(-3). Suppose 9*o - b - 258 = 0. Calculate the remainder when o is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 29. Let a = c - 10.04. Let v = -1.6 - a. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(1\/((-4)\/8)))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x - 0. Let u(w) = -3*w**3 - w**2 + w - 2. List the prime factors of u(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 23*g + 260. Let d be (-19 - g)*(2 + -2). Solve 2*k + 14 - 4 = d for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4\/(-56) + (-3)\/7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x + 0*x + 2*x to w + s*x and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-180)\/(-240) - 26\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + 5*sqrt(18)*2 + (sqrt(6)\/(sqrt(3) + sqrt(432)*-1) + 2)**2).\nAnswer: -1956*sqrt(2)\/11 - 4368\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2850*z**4 + 261655*z**3 - 5498805*z**2 - 1061575*z + 9735 = 0.\nAnswer: -1\/5, 1\/114, 33, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21065777 divided by 26\nAnswer: -21065777\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 78*w**2 + 149*w - 1464. Calculate k(8).\nAnswer: 4720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 14. Let s(a) = 4677*a**2 - 5138*a + 56. Let c(o) = -4*j(o) + s(o). Find the second derivative of c(x) wrt x.\nAnswer: 9354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-1 - 1). Let g be 1 + -1*r + 2. Suppose -6*j + j + 60 = g. What is the highest common factor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p**3 + 4*p**2 - 6. Let t be n(-2). Let o = t - -78. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -317, -1146, -2753, -5396, -9333, -14822, -22121?\nAnswer: -31488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l + 20 = 30*l. Suppose -3427 = -l*o + 5*q, 2*q + 1167 = 2*o - 547. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180141721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 129*k - 770. Let g(s) = s**3 - 6*s**2 + 3*s + 3. What is the remainder when i(6) is divided by g(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b4de (base 16) to base 4.\nAnswer: -123103132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**2*t**3 + 2*s**2*t - 12*s**2 + 5*s*t**3 - 68*t**3 wrt s.\nAnswer: 12*t**3 + 4*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 987288 divided by -3?\nAnswer: -329096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Solve -2 = -x*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 3, e: 1, l: 2, j: 6}. Give prob of picking 1 j and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 824, 59, -5, 5 in increasing order.\nAnswer: -5, 5, 59, 103, 824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 12*f - 2224 - 2184 + 4344.\nAnswer: -8*f - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.245004 milligrams in nanograms?\nAnswer: 6245004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 9:21 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*v - 5*u, 3*v = -2*u + 16 - 0. Suppose -11*i + 6 - v = 0. Solve i = -z - 2*a - 1, -2*a - 14 = -z - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - -107. Let c be (-28)\/b - 40\/(-18). Suppose c*o - 23 - 43 = 0. Is o a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 809 - 816 + 3167 - 777 - 821.\nAnswer: 5*y - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2\/1094586715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 0*p**3 - 3982*p - 40*p**3 + 38*p**3.\nAnswer: -2*p**3 - 3982*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**3\/6 + 3*w**2 + 9*w. What is the remainder when 31 is divided by r(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k - 7. Let w(p) = -11*p - 15*p - 3*p - 20 + 9*p. Suppose 21*n + 2*n = 460. Let s = n - 25. Calculate s*w(z) + 14*l(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*b + 8 - 33, -3*b - 3 = 4*x. Let k = 40 - 20. Suppose 0 = 5*w + 2*v - 1 - 7, -w = -5*v + k. Solve 2*o + x*g + 13 + 12 = w, -g - 25 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziddodz. What is prob of sequence dod?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 263*v - 284. What is c(-1)?\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*m - 33*m - 61*m)*(-2 - 1 - 1 + (3 + 1 - 3)*(-2 + 1 + 0)).\nAnswer: 315*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.41 + -4.41. Let n(q) = -2*q + 12. Let l be n(0). Let z = l + -62\/5. Which is the second biggest value? (a) z (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2 - 7*h - 1 + 6*h. Determine w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at most as big as -159\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 5*g + 16*g + 5*g + 5*g**2 to the form m*g + b + f*g**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 231 + 51. Let u = -42 + 99. Let t = s + u. What is the least common multiple of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 2*r**5\/5 - 53*r**4\/4 + 27*r**2\/2 - 53. What is the second derivative of m(o) wrt o?\nAnswer: 24*o**2 - 318*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1905337779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by 27.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 18) + (11 - 4) - -5 - 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -969*d*n**3 + 349*d*n**2 - 2*d + 1081543*n**3 with respect to d.\nAnswer: -969*n**3 + 349*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 142. List the prime factors of h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Suppose 21 = r + 4*d, 3*d - 4 = -1. Let x = -253 + 254. Let m(j) = r*j - 7 - x + 8. Determine w(m(u)).\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 8:10 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3 - 8)*(-1 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 98. Let d be s(24). Let m(c) = -2*c + 78. Let a be m(d). What is the greatest common factor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 4, w: 5}. Give prob of picking 1 w and 1 c.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -118*y**2. Let h(z) = -2*z**2 + 72. Give h(o(n)).\nAnswer: -27848*n**4 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 49*u**3 - u**2. What is the remainder when m(1) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*j - 747*j + 12264 = 0. Suppose 3*z = -3*u + 132, 3*z + 36 = u - 0*u. What is the greatest common divisor of u and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 281, 227, 137, 11, -151, -349?\n\"Answer: -18*v**2 + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2308843, 2308830, 2308819, 2308810, 2308803, 2308798, 2308795?\nAnswer: 2308794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1905 or 9529\/5?\nAnswer: 9529\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2\/11 (b) 4\/3 (c) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 12*i**2 - 12*i**2 + 26*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 275 in -3, 1\/3, 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/2*5\/3. Let m be ((-8)\/10)\/(4\/(-110)). Let s = r + m. Calculate the highest common divisor of 132 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Find the third derivative of 0*t**4 + 2*t**2 - 3*t**s + t**2 wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38398*0.0142\nAnswer: 545.2516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-24)\/20*10\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 - -166. Let y be 1433\/6 + (-5)\/6. Calculate the greatest common divisor of y and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1 - 2*z + z + 0. Let v(o) be the second derivative of o**3\/2 - o**2 - 5*o + 46. Determine -2*t(p) - v(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2257 - 2260. Put -357, 0, r in descending order.\nAnswer: 0, r, -357","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19219 - -11261.\nAnswer: -7958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 203333030 (base 4) in base 12?\nAnswer: 71378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379184029.\nAnswer: 7, 37, 1464031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -95*p + 129. Determine b(6).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 36. Let q(d) = -d**3 + 5*d - 9. Let v(n) be the first derivative of n**4\/4 - 3*n**2\/2 + 5*n + 1. What is l*v(b) - 3*q(b)?\nAnswer: -2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.450981 rounded to three decimal places?\nAnswer: 1.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -63)\/(12\/8). Let g(t) = t**3 + 11*t**2 - t + 12. Let d be g(-11). Let n(a) = d*a + 16*a - 7 - m*a. What is n(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-1159*m**2 + 1161*m**2 - 2*m**5 - 5*m**3 - 6*m**5).\nAnswer: -16*m**5 - 10*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t**3 - t**2 + t. Let h = 3 - -18. Calculate the remainder when h is divided by c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485253958.\nAnswer: 2, 7, 19, 260609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74, 67, 48, 11, -50, -141?\n\"Answer: -u**3 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 13, b: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 38. Suppose -8 = -4*r - 4*k, -k = 3*r - 11 + y. What is the lowest common multiple of r and 37?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 101 + 919. Let t = w + -105. Suppose -2*v = 4*g - 178, 5*g + 5*v = -0*g + t. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + 2.16. Let z = 69 + -135\/2. What is the second smallest value in q, 1\/10, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/11 + 4*g**4\/11 - 16*g**3\/11 - 32*g**2\/11 + 32*g\/11 + 64\/11.\nAnswer: 2*(g - 2)**2*(g + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 43*j - 542. What is d(-33)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -7049333, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-16) + 114\/(-392))\/((-285)\/(10 + -580)).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5870252.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1191946251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2.14. Let a = s + -0.36. Let l be (-1)\/(-2)*(-48)\/(-36). What is the second biggest value in -0.3, l, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*b**2*o*v**2 - b**2 - 7*b*o*v + b*o - 34*b*v**3 + o*v**3 + 4742*o*v wrt v?\nAnswer: 142*b**2*o - 204*b*v + 6*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 96, 219, 392?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -14. Is (f\/(-10))\/(-4 + 707\/175) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t**3 - 13*t**3 - 6*t**3 - 21 - 25*t**3.\nAnswer: t**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -19, -2, -5, -24, 1, 2 in descending order.\nAnswer: 19, 2, 1, -2, -5, -19, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 1. Let f(m) = m - 16. Let p(s) = s + 9. Let d(h) = -2*f(h) - 3*p(h). What is 2*d(z) + 11*n(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 - 5) + (-8)\/(-2). Suppose 4*m + 0*m = -3*o - 1, -2*o - 2*m - 4 = 0. Let x = o - g. Solve -x*r - 15 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 6, 3\/7, 0.2, 5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*d + 2*p, -5*p + 6 + 21 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 1, q: 1}. Give prob of sequence htq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 363, 1, -7, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p\/p**(-2\/3)))\/(p**5*p)**7 assuming p is positive.\nAnswer: p**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 45*y**3 - 6*y**2 + 16*y - 10. Let a be z(3). Suppose -i - 534 + 74 = 0. Let v = i + a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/49 and 52\/623.\nAnswer: 4361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.34 + -22.4. Let z = -3463 - -3454. Put v, z, 5 in descending order.\nAnswer: 5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1 + -4) + 3. Suppose 0*y + t + 10 = y, -c*t = -3*y + 26. Suppose -2*d - 16 = -y*d. Sort d, -4, 1 in increasing order.\nAnswer: -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-300)\/4))\/((-6)\/(-7)*(-63)\/(-360))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1632)\/84*(-3)\/(-6)*28\/8.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -35*v - 382. Let b be d(-11). Solve 3*t - 24 = -b*u, -2*u + 4 + 0 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86 and 4429.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/63*50\/175.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s - 41. Determine v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(108))**2 + -2 + 3)*4.\nAnswer: -48*sqrt(3) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1793185640 or -1?\nAnswer: 1\/1793185640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = 15*b - 2895432. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a + 120. Let v be n(-17). Let f be 7*(v + (-344)\/(-56)). What is the greatest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1552 (base 7) to base 3.\nAnswer: -212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opibiiibbo. Give prob of picking 1 o and 2 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 15, 14*m = 5*o + 19*m + 15 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/(-3))\/3*-1. Suppose w*b + 4 = 4*k, -3*b + 0 = -5*k + 8. Solve 2*p + 2 = 0, 2*r + 5 = 3*r - b*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 65780.89 millennia?\nAnswer: 789370680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(30\/(-10))\/12)\/(20\/(-128))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 10. Suppose 0 = -4*h + i + 415, -2*h + 440 = 2*h + 4*i. Suppose -6*v + h = v. Calculate the greatest common divisor of v and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 31*u - 26*u - 20, -2*u + 8 = -2*c. Solve -28*q - 108 = u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 50 = -p. Let w be (-6)\/10 + (-110)\/p. Which is the smallest value? (a) -0.1 (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -53 - -66. Suppose -2*v - 2*v = -468. Calculate the greatest common divisor of u and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*u = u. Suppose 6*g + 8 = 2*g. Suppose -w + 0 = 4. Put w, u, g in increasing order.\nAnswer: w, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 16. Let c(f) = -3*f + 3 + 2*f + 2*f. Let h(i) = 11*c(i) + 2*u(i). What is h(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68728 divided by -781\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjemeiiv. Give prob of picking 1 i, 1 v, and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j - 32. Let i(w) = 19*w + 72. Let p be i(-4). What are the prime factors of g(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -19*k**8\/56 - k**6\/15 + 7*k**5\/10 - 1183*k**4\/2 - 11*k + 500. What is the third derivative of o(v) wrt v?\nAnswer: -2280*v**3 - 48*v + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -9*p**4\/4 - 5*p**3\/6 - 930*p. Let i(q) = -26*q**2 - 4*q. What is 5*i(f) - 4*r(f)?\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.3 (b) 11535 (c) 1 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = -30*q + f - 10, -4*q - 4*f = -2*f + 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z + 51*z - 14 = 634 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1429*z - 150065. Determine n(-105).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -9*i - 131. Let d be y(-15). What is the derivative of 23*m**4 - 421*m**2 + 421*m**2 + 118 + d*m wrt m?\nAnswer: 92*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2051*n - 5890*n - 13495*n - 2952*n.\nAnswer: -24388*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 66*x + 1421 = 0. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/30 - (-1)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*x = 620*x - 15340 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51340 and 52831880?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73169 is divided by 10430.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -112\/48929925 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2728 and 792?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 10, -4 in descending order.\nAnswer: 52, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 1247.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -k - 23, 3*d + 3 - 33 = 3*k. Let r = 14 - d. Let h(n) = 11*n + 2. List the prime factors of h(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 + -11 + -11 - 70) + 58.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, -0.7, -1, 2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2821003534.7813 and 0.4.\nAnswer: 2821003535.1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b = 60. Let z = 11 - b. What is the remainder when 7 is divided by z\/6 - 11\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1.07224\nAnswer: -0.214448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2292, 1359, -204, -2403, -5244, -8733?\nAnswer: -12876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (9 + -6)) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 29548*m**3 + 218182413*m**2 + 1309921942*m + 1746877832.\nAnswer: (m - 14777)**2*(m + 2)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m + 6. Let h be u(-6). Suppose -2*t + 4*d - 48 = -4*t, -3*t - 3*d + h = 0. Suppose -32 = -4*l + t. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**5 + 19152624*j**3 - 30*j + 25392?\nAnswer: -40*j**3 + 114915744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1424573.\nAnswer: 1\/1424573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4652, 9200, 13748?\n\"Answer: 4548*u + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.41 less than 6254584?\nAnswer: 6254604.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20616.672 seconds in minutes?\nAnswer: 343.6112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 86261.65nm?\nAnswer: 0.008626165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 7*w - 2*z, 125*z = 2*w + 126*z - 21 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Let f be (1 + d)\/((-27)\/18). Let j(q) = -65*q - 1. What is the units digit of j(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.06 + -2. Let m = 0.0355 - -0.2645. Let r = -12 + 11.9. Which is the closest to m? (a) r (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654 = -8*d + 2*d. What are the prime factors of d?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 + 4 - 3) + 10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7346 - 7343. Let t(f) be the second derivative of 1\/5*f**6 + 0 + 0*f**h + 0*f**2 + 0*f**5 - 5\/6*f**4 - 4*f. Find the third derivative of t(y) wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**4\/30 - p**3\/5 + 2*p**2\/5 + 30*p. Factor i(a).\nAnswer: 2*(a - 2)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3 - 1) + 3)*1 + 3. Suppose 4*o - 77 = -z*c - 3*c, -85 = -5*o + 5*c. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*i**2 - 76*i + 2*i**3 - 32*i**2 + 95*i**2 + 76*i to a + n*i**2 + k*i**3 + z*i and give n.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -45+-109874113\nAnswer: -109874158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**4 + 0*w**2 + 0*w**2 + (-1 + 3 - 3)*(w**4 + 4 - 4).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)*z)**(12\/19)\/(z**(4\/5)*z**(2\/7)))**(-26) assuming z is positive.\nAnswer: z**(11492\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let m(i) = 6*i - 1. What is 5*b(j) + m(j)?\nAnswer: j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.53 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8198576749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s, 0 = -x + 6*x + 4*s + 113. Let i be ((-12)\/5)\/((-2)\/x). Let a = -15 - i. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*u - 4. Find q, given that 6*q**3 - 2*q**3 - 3*q**u + 3*q**4 + 2*q**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -3*x + 12, 69 = -5*x + 2*d + 58 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -4147*p**3\/2 + 6050*p. Let y(q) = -q**2. Calculate y(u(g)).\nAnswer: -154778481*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 8*a. Let s be (-2)\/(-7) + 99\/21. Let u be n(s). Let x = -8 + u. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.4 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -18554?\nAnswer: -18554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2700 and 114500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7826)\/(-8) - (-75)\/100) + 2. What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1056 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -134, -22 in decreasing order.\nAnswer: -2, -4, -22, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/4914 and 155\/364338.\nAnswer: 2550366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -81\/8, -0.2, 0.4 in descending order.\nAnswer: 2\/3, 0.4, -0.2, -81\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 83 = -s, 2*l = 4*l + 5*s + 27. Let t = 36 + l. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5097599 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764910 = 25*f + 20*f. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1650 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44401523 and -7.1?\nAnswer: 44401530.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69176 is divided by 26.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -366 - -368. What is the third derivative of 1736*o**2 - 14*o**3 - 1738*o**t - o + 0*o wrt o?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 - 9*v + 7. Let d be z(6). Let i(y) = -y - 6. Is i(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 3*s**2 + s + 3. Let n be d(-3). Suppose n - 2 = -p. Factor 0 + 4\/7*o**p + 0*o - 6\/7*o**3.\nAnswer: -2*o**2*(3*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 12\/160417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 905196080 to the power of 1\/2, to the nearest integer?\nAnswer: 30086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 - -4. Let r = i + -3.2. Let f = 2.9999987 + r. What is f rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -d + 5*c + 32, 116 = 4*d - 5*c. What is the common denominator of 37\/24 and ((-2)\/d)\/((-4)\/1308*3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -123 and -0.249113.\nAnswer: -123.249113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.27 + -4.27. Let n = -0.4 + 0.4. Let l be (2 + -1)\/(2\/(-4)). Put l, t, n in increasing order.\nAnswer: l, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 5. Let l be d(3). Let j(g) = -g - 2*g**l + 2*g**3 + 7*g**2 - 3*g**2. Let c be 0 + (-1)\/(1\/2). Determine j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304.2639 rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49755.\nAnswer: 3, 5, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 + 4*t**2 - 5*t. Let r(g) = -g**3 + g**2 - g - 1. Let d(s) = 4*r(s) - v(s). Let a be d(-8). Round a to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 - 1) - (3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/((p*p**5)\/p*p))\/(p*p\/(p**4\/p)*p\/((p\/(p*p**(2\/3)))\/p)))**(11\/9) assuming p is positive.\nAnswer: p**(-220\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (6 + 4 + -5 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 20*l**2 + 1. Suppose 2*u - 3*u - 5*b = -21, -2*u + 27 = -5*b. Suppose 20*x = u*x + 236. What is the remainder when x is divided by c(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136764 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-18\/5)\/g*g)**(-6))**(-34) assuming g is positive.\nAnswer: g**(-3672\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**8\/6720 - f**7\/1260 + f**6\/720 + f**5\/120 + f**4\/4 - 4*f. Let j(q) be the third derivative of t(q). Calculate j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let g(a) = 3*a - 4. Let l(y) = -7*y + 8*y - 1 + 0. Let c(s) = g(s) - 4*l(s). Calculate q(c(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -663 - -33151\/50. Let k(b) be the second derivative of -r*b**5 + 0 - 2*b + 0*b**3 + 0*b**2 + 1\/30*b**4. Factor k(f).\nAnswer: -2*f**2*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40666*z**2 + 4 - 2 + 9 - 3.\nAnswer: -40666*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1888573600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -24. Let d(g) = 4*g**2 + 20*g. Let b be d(-5). Find the second derivative of -9*k**3 + 0*k**w + b*k - k + 7*k**3 wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 667609 and 54.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3969, 4\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4 + 483800*v**3\/3 - 14833585*v**2\/3 - 20476940*v\/3 - 5159552\/3 = 0.\nAnswer: -1, -1\/3, 32, 161236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (1 + 24 + 1 + -10 + -24)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(6) - (sqrt(6) - (-1*sqrt(6) + sqrt(6) - sqrt(6)))))\/(sqrt(30)\/(sqrt(20)\/sqrt(2))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 70 = 5*b + 4*u, 5*b + 3*u - 70 = 0. What is the remainder when 94 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 135*c**5 + 1055*c**4 + 1825*c**3 - 915*c**2 - 2600*c + 500 = 0.\nAnswer: -5, -2, 5\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*1*3 - (sqrt(153) - -5*(sqrt(153)*-2 + sqrt(153))))\/(sqrt(27)\/sqrt(3)*-3 - sqrt(1089)*1))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187483.\nAnswer: 47, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q - 33 + 49 + 20*q + 16*q to the form k + n*q and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -86, -105, -144, -209?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20216981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 - 3*n. What is the remainder when u(4) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21093.209 take away 38127?\nAnswer: -59220.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -685615 and -0.0146?\nAnswer: 10009.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10310 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740527168.\nAnswer: 2, 281, 41177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, 11, 81, 211, 419, 723?\n\"Answer: 3*d**3 + 3*d**2 - 2*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55260, 110505, 165750?\nAnswer: 220995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20312302230 (base 4) in base 15?\nAnswer: 30cd20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.89 or 4?\nAnswer: -1.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:56 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-15) - (-3)\/5. Let x be 55\/3 - (-6)\/9. Suppose -4*t = -4*k - 16, 0 = b*k - k - 4*t + x. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68768 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:51 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688050 and 12780?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23534 = 3*r + 5*x, -4*x + 210 = -5*r + 39421. Does 41 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038828943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*u - 87, u - 21 = -0*v - 3*v. Let s(p) = -2*p**2 + 37*p - 13. Let c be s(u). Suppose -3*k - c*a + 1718 = 0, -3*k + 3*a = -1712 + 2. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = 2*d, -4*d + d - 12 = u. Let z(y) = -y**3 - 4*y**2 + y - 1. Give z(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:13 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -6 + (-1 - -7) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 18*q**2 - 40*q - 24.\nAnswer: -2*(q + 1)*(q + 2)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/5 + (-8)\/5. Let g = -57 - -32. Let v = -24.9 - g. Which is the closest to 1? (a) m (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/3, -2, 287, 3, 1, -14, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8372536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20.6 (b) -3 (c) 1 (d) 0.1 (e) -1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*r + 22 = 0. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-4) + 1\/4. Put 5, n, 4 in descending order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*m**3 + 57*m**2 + 3*m.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26414360 divided by -6603590\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000090523 to seven dps.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -106414 times -1\nAnswer: 106414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1422 and -27\/45346.\nAnswer: 408114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -33 = -g*j - 3*u, 5*j + 0*u - 2*u - 34 = 0. What is the remainder when 170\/j + (-1)\/4 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(12) + -2) - ((0 + sqrt(243) - sqrt(243)) + (sqrt(3) - (sqrt(3) + 5*(sqrt(3) - sqrt(12))) - sqrt(3))**2).\nAnswer: -42 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 49*w**2 - 50*w + 10*w**2 + 17*w**2 in the form x + p*w + a*w**2 and give p.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1504 and 130227976?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:59 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (8 - 164)*(-24)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-4*z + z + 2*z) + 4*z + z - 3*z + z + 0 + 0 - z + z + 2*z + 3*z + z - 7*z + 7*z + 4*z + 8*z + 5*z + 2*z - 4*z + 2.\nAnswer: 26*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j\/(j\/j**(-4\/3)))\/j)\/j)\/(j*j*j**15*j*j)*j**(-2\/15)\/j**(6\/7) assuming j is positive.\nAnswer: j**(-2239\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62213 or 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 126\/49 + (-3)\/(-7). Solve -c - 2 = -q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 784806 and 170610?\nAnswer: 3924030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 120025021?\nAnswer: 600125105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 116*f**3 - 11*f**2 + 11*f - 11. Let m(q) = -23*q**3 + 2*q**2 - 2*q + 2. Determine -33*m(k) - 6*x(k).\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, 3\/7.\nAnswer: -22, -5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2519703 to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6*g\/g**(-4)*(g**(-1\/2))**(-2\/5)*g**(-1\/4)*(g\/(g*g**(-4\/7)\/g))\/g*(g\/g**(-5)*g)\/(g\/(g\/(g\/(g*g**(2\/9)*g)))) assuming g is positive.\nAnswer: g**(24877\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -1)\/((-36)\/(-19 + 10)). What is the closest to k in -2\/3, -10, 1, 3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 214505548, 214505546, 214505544, 214505542?\n\"Answer: -2*q + 214505550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3 - 16 = 5*f, -f + m - 2 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -17, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - 1477\/(-21)) + (-8)\/(-12). What is the greatest common divisor of z and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 27*j = -24, -2*s + 13*j - 10*j = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 9*d = -12, 780*c - 776*c = -6*d - 42 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175811\/371780 + -4\/3205. Calculate the common denominator of n and -55\/24.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 2\/3*k**3 + 0*k**2 + 5\/3*k**4 - 12*k + 0 - 11\/20*k**5. Let s(l) = 0. What is l?\nAnswer: -2\/11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/4)\/(90\/(-180))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s - 107*s + 5 + 173*s.\nAnswer: 15*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 26. Give o(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/20, -2, 1, 0.51, -17\/7?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/10)\/(48\/(-10440)). Suppose 3*g - 358 = g - 3*l, -3*l = -3*g + f. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 13*c**2 + 6*c + 9. Is 4 a factor of n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -19. Solve 0 = t + 3*g - 8, -3*g = -g - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - 86*m + 263. Let i be l(41). What is the greatest common divisor of 117 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16*s + 1. Determine j(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 + 2*c - 13. Let a(q) = 5*q**2 - 2*q + 10. Let m(w) = 4*a(w) + 3*i(w). Determine m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-1)\/1 + (-81)\/(-18)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 100*w**2 - 43*w - 280. List the prime factors of u(-11).\nAnswer: 19, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -0.3 (c) -3576451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.8 - 23.8028991. Round g to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 636\/7 + -91. Let j = -0.09 - 0.11. Put u, j, -1\/2 in decreasing order.\nAnswer: u, j, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 + -7. What is the highest common factor of o and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -27. Suppose -r = 4*m + m, 4*t + 4*m - 76 = 0. Suppose -31 = -5*y + 4*i + 196, 5*y - 209 = -2*i. Calculate the remainder when y is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -12, 4*j + 0 = h + 7. Let p be (0 + 0)\/((-3)\/(-3)). Suppose 0*d + d - 8 = p. What is the remainder when d is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - (-99074 - (-104)\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 5*d**2 + d - 1 + 6*d**2. Let z be t(3). What is the second derivative of -2*w**2 + z*w + 0*w + 3*w**2 wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 332 and 320?\nAnswer: 26560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011859 to five decimal places.\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*p - 41*p + 205*p + 62*p - 3.\nAnswer: 814*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 20*u - 124. Let k be q(-5). Solve 4*g - 20 = -4*y, g + 6*y + k = 7*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 11, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2473474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101242 (base 5) to base 6.\nAnswer: 23214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4 - 110612*h**3 - 1529487426*h**2 - 3058643024*h - 1529266208 = 0. What is h?\nAnswer: -27652, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1999 + 3727. Suppose -4*y + 7623 = -5*t, -4*y - 5*t + d = -y. Find the third derivative of -9*c**2 + y + 15*c**5 - 1907 wrt c.\nAnswer: 900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1535 + 1549 - (37 + -1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.37429 nanometers in centimeters?\nAnswer: 0.000004337429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/12)\/((-4)\/(-18)). Suppose j - 4*t - 1 - 4 = 0, v*j = -5*t + 15. Suppose -d = -6*d - 5*r + 10, -3*d = j*r. Solve -d = q - 0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*b*g*j + 3*b*g + 436*b*j - 2*b + 124378*g*j + 121*j - 2 wrt g.\nAnswer: -113*b*j + 3*b + 124378*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (120\/250*3)\/(-30*15\/(-1125))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*a + 132*a - 125*a.\nAnswer: 212*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**5 + 23883894*p**3 - 136*p**2 + 376202*p?\nAnswer: -300*p**2 + 143303364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659 is divided by 408?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -87 and -1.25232?\nAnswer: 85.74768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35827846, -71655695, -107483544, -143311393, -179139242?\nAnswer: -214967091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -60\/3451 and -99\/136.\nAnswer: 27608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14531256959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10350928?\nAnswer: 2, 7, 92419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 greater than 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 42152 = -2*o, -2*o - 5631 = 4*b - 47811. Suppose 3*f - 86938 + o = 0. Does 38 divide (f\/36)\/8 + (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397942?\nAnswer: 2, 198971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -606*a - 334*a + 2*a**2 + 935*a. Let n(f) = 2*f - 2*f - 2*f + f**2. Give 5*n(v) - 2*o(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 8)\/(1\/(-1)). Suppose -3*i + 7*i = -12. Put 1, i, r in decreasing order.\nAnswer: r, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -901*g + 4521. Calculate the remainder when 40781 is divided by b(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let d(b) = -7910*b**2. What is f(d(r))?\nAnswer: 125136200*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -0.1, -196, 5, 5\/4, 13.\nAnswer: -196, -0.1, 0.4, 1, 5\/4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1543*x - 419. Let s(w) = 2*w**2. Give t(s(y)).\nAnswer: 3086*y**2 - 419","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3493488 to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, -1.27, 1\/71?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 729343712*d - 66492781279242368 = 0. Calculate d.\nAnswer: -182335928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -27*u + 1. Suppose 9*z + 3*l = 13*z + 101, 4*l = 4*z + 100. Is t(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*i - 3. Sort 3, 0, 5, i in increasing order.\nAnswer: 0, i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/8 - (0 + 121\/(-88)). What is the nearest to 0.1 in i, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1183 + 3037 = 20*g. List the prime factors of g.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*n - 13 = 923*l - 918*l, -2*l - n = 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 plus -146?\nAnswer: -146.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 + 783*n\/4 + 11295\/2.\nAnswer: (n + 30)*(n + 753)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -167a - 1a121?\nAnswer: -1b79b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.084 - 3.914. Let r = u + 4. Let s = -0.169991 + r. Round s to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 51?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-26)*x**(2\/21)\/x)\/((((x\/(x**(-8)\/x))\/x)\/x)\/x**7))**43 assuming x is positive.\nAnswer: x**(-25198\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -179*g**3 - 93948*g + 93948*g + (2*g**2 - 3*g + 3*g)*(-2 + 2 - g).\nAnswer: -181*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*y**3 - 3735\/4*y - 309*y**2.\nAnswer: 3*y*(y - 415)*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 516, -129, -774, -1419, -2064?\n\"Answer: -645*i + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1362*h + 259*h + 2837*h - 463*h - 202*h.\nAnswer: 3793*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 865.40159 rounded to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 351?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - p - 162 = -7*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16622119?\nAnswer: 179, 92861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 26 = -4*x, -2*x - 3*x + 2*a + 29 = 0. Suppose -x*z = -z. Suppose z = -r + 3*r. Which is bigger: -2\/9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 422 and 421 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 12*n**2 - 13*n - 10. Let z be h(-13). Calculate the remainder when 71 is divided by -1*(-25)\/(-10)*z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*252\/(-40)*1340\/268.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 take away 4398528?\nAnswer: -4397974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1884848722 to the nearest integer?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 18 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -31\/5 (c) 1\/3 (d) 0.007\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*c*m**6 - 4402384*c*m**5 + c*m**2 + 10*c*m + 68694*c + 33*m**2 - 1 wrt m?\nAnswer: 1080*c*m**3 - 264143040*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 3225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(-46)))\/x)\/(x\/x**(-25)))\/(x*x**(-24))**(-45))**46 assuming x is positive.\nAnswer: x**(-46736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 14. Let s be p(7). Let q(j) = -4*j**2 + 1528*j + j**3 + 1 - 3*j**2 + 3*j**2 - 1545*j. Does 6 divide q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52425 = -25*n + 59175. Calculate the highest common factor of 40 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, u: 1, f: 8}. What is prob of sequence ggf?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 70. Let n(t) = f - 3*t**3 - 7*t**2 + 7*t**3 - 3*t**3 + 3 + 6*t. What is n(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 3:11 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/18 - 1826*n**3\/9 - 833569*n**2\/3 + 889*n + 2. Factor g(a).\nAnswer: -2*(a + 913)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-80)\/(-3))\/5*(-9)\/(-12). Solve -2*n - p = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 9010260*c + 6765398772300.\nAnswer: 3*(c + 1501710)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 301*v - 2626. Give m(9).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 585370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141480 and 20.\nAnswer: 141480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -546843*r*v - 5862720*r - 2*v wrt v.\nAnswer: -546843*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 587501, 1174995, 1762479, 2349953?\n\"Answer: -5*p**2 + 587509*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 505585, 1011232, 1516879?\nAnswer: 2022526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i - 11. Let u be c(4). Let x = u + 29. Which is smaller: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32844201 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) 0.5 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 12*q - 100. Let b = q + 61. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - -3. Suppose -5*h = d - 0*h + 15, l = 4*d - h. Solve -d*k + 20 = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215502370 divided by -26030?\nAnswer: 8279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -449 - -485. Let g be (-6)\/(-15) + 172\/(-5). What are the prime factors of 1\/(1 + g\/c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 304988?\nAnswer: -60997.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 1\/3*z**3 + 0 - 17\/2*z**2 + 79*z. Calculate x(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) + (sqrt(468) + sqrt(468)*3)*2)) + -4*(-2*sqrt(468) + sqrt(468)) + 1 + (0 + sqrt(468))*4 + 3)**2 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)\/sqrt(11))**2 - (sqrt(24) - sqrt(24)*2)\/sqrt(8).\nAnswer: sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.275194.\nAnswer: 1.100776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - r = 28, 2 + 2 = -q - 3*r. Let 21*x**5 - x**4 + 3*x**2 + x**q - 2*x**4 - 25*x**5 + 3*x**3 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n, 4*v + n - 14 = -0*n. Suppose 0*p = -v*p + 8. Suppose 0 = -o + p*x + 12, 3*x - 2 = 4. Calculate the greatest common divisor of 144 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19 and 102.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162983981 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3150 is divided by 1049.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4031727021*d - 4031727021*d + 10*d**2 - 610.\nAnswer: 10*d**2 - 610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 811, 1627, 2439, 3247, 4051, 4851?\n\"Answer: -2*c**2 + 822*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0312 rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 9*s + 9. Let z be x(-3). Which is greater: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 + 13*k**2 - 61*k**2 - 63*k**2.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -165*o*z - 23313*o - 1229889*z wrt o?\nAnswer: -165*z - 23313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t - 13 = -55*t - 28, -2*r + 58 = 2*t for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(3 + 28494\/(-9496)). Let m = 4221 - k. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52626487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -529\nAnswer: 4761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3. Let a(q) = h*q - 4*q + 8 - 6. Let p(y) be the third derivative of -y**4\/24 + y**3\/6 + y**2. Calculate -2*a(t) + 6*p(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -11 + (-67 - (1 + -43 + 62))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnq when four letters picked without replacement from cconrnqnn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffwuiuufd. Give prob of picking 2 f and 1 u.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i)\/i*i)\/(i**(-2\/11)*i)*(i*i**2)\/(i*i**(1\/5)*i) assuming i is positive.\nAnswer: i**(-111\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1889415.291 to the nearest 100.\nAnswer: 1889400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*w - 2 - 5, 4*f = 2*w + 14. Is f*(2 + -1) - (-2682)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 21035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -200*m - 4402. Let p be w(-22). Let k = -25 + 24.56. Let i = k - -0.04. Which is the second smallest value? (a) p (b) i (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 6975*x - 6980.\nAnswer: 5*(x - 1396)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/1035562 or 2?\nAnswer: 17\/1035562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*c - 100, 2*t - 165 = -4*c - 25. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 9 + (-12 - -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/2328 and -109\/1064244?\nAnswer: 206463336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 4*g - 30 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 215\/26 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*f + 2*f. Let p = 0 - f. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + (4 + 1 - (0 - -7)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 7 = -x, -2*c = x + 3*x + 16. Let a = 5 + c. Calculate the remainder when (-42)\/4*(-1 + a) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 - -21) - (-4598 - -4614)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67440)\/(-90)*148*15\/80 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 9:12 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4567*l = 2479*l + 1446 - 12430 + 81444 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1033330300?\nAnswer: 1033330300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 1117\nAnswer: -1116.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from {q: 2, r: 1, j: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 4:00 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1206165130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4))**(-1\/30)*(k**(1\/3)*k)**12)\/((k**(-2\/7)*k*k)**(3\/7)*(k**(-1)*k)**(12\/11)) assuming k is positive.\nAnswer: k**(89809\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -9 + 1. Let s(m) = -m**3 + 5*m**2 + m - 1. What is the remainder when s(j) is divided by (-19 + 9)*(-4 + (-35)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35120 is divided by 400?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151096117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k**(-5)\/k*k))*k)\/k**(-2\/43)*k**(3\/2)*k**(-1))**(-6\/13) assuming k is positive.\nAnswer: k**(633\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3\/3 - 2*n**2 + n + 3. Let p(b) = -2*b**2 + 3*b - 1. Suppose 19*i - 53 = -15. Calculate i*a(f) + 3*p(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aef when three letters picked without replacement from {f: 1, i: 1, q: 1, m: 2, e: 1, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 241 - -2?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 163031749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25048, 2, 5.\nAnswer: 2, 5, 25048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*-120161.\nAnswer: 192257.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 724415694 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43045594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 6. Let o be w(-6). Let x(i) = -3*i - 18. Let d be x(-7). Solve -5*q - b = 13, -b = -d*q + o*q + 9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167336 and 2392.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 3 (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16320*a + 66990. What is c(-4)?\nAnswer: 1710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18231)\/2472 - (-5)\/(-8) - 34.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbfbffffpfbbbbpgbbb. Give prob of picking 2 f.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/78 and ((-87)\/232)\/(9\/(-249)).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*x + 9536*x**3 + 12*x**3 - 199*x + 113*x.\nAnswer: 9548*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/120 - g**4\/2 + 2*g**3 - 6*g**2. Let f(y) be the first derivative of h(y). Determine p, given that f(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (122 - 131)*66\/(-54)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4237459 (base 11) to base 4.\nAnswer: 130131303312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o - 94 + 34 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4778?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65.3963441979 + -5.\nAnswer: -70.3963441979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -472 - -996. Suppose -4*t = 54*t - 800 - 360. Calculate the least common multiple of t and x.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311361560 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:03 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38888 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.7 (b) 3 (c) 5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 - 5*r + 2. Let g be j(-5). Let w = 155 - 459. Let n be (4180\/w)\/(10\/(-16)). Calculate the highest common divisor of g and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/48 and (5\/(-30) + 52\/384)\/((-8)\/(-268)).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -15?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 9*m**2 - 23*m + 7. Let x = -4642 + 4653. Determine t(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2 + 0 - z**2 - 6*z + 0. Let a be k(-6). Let x be 3 + -2 - (a - 0). Solve 0 = -0*y - x*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -573?\nAnswer: -5\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2\/13, -23, 0.3, 6, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7bb0 + 72e?\nAnswer: -7481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -2*f**5\/45 - 11*f**4\/18 - 2*f**3\/3 + 11*f**2\/9 + 20*f\/9 - 35. Determine z so that a(z) = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n + 72 = 0. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 2*y - 9. Let n be c(4). Let p = 81 + -51. What is the highest common factor of p and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/s**(10\/9))\/s))\/s*s)**(2\/67))**(-43) assuming s is positive.\nAnswer: s**(-1634\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10101, 349, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/4 - 343*c**3\/4 + 7517*c**2 - 38759*c - 280860 = 0.\nAnswer: -4, 10, 151, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 231*w**2 + 224*w**2 + 11*w - 6*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 27 - 224*i**2 - 59 as a*i**2 + k + l*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004776 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7448902*v + 7448902*v - 5*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101343130 (base 7) to base 13.\nAnswer: -1301410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -9, 0.257 in ascending order.\nAnswer: -9, 0.257, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3863054, 3863053, 3863052, 3863051, 3863050, 3863049?\nAnswer: 3863048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(14\/3)*(-52)\/390.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 31 = 2*i, -i - 17 = -2*i + 4*s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**4\/12 - m**3\/6 - 9*m**2. Let u be h(-2). Let i be (-3 - -4) + u\/((-210)\/(-44)). Which is smaller: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 121068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 13664, 2\/5?\nAnswer: 13664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 15 + -31 - -15 - 17\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 284 + -276. Solve 0 = -g*d + 9*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61138030 to the power of 1\/2, to the nearest integer?\nAnswer: 7819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r - 6*r - 7*r)*(-2 + 3 + 0)*(-r - 7*r + 2*r).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3736, -3636, -3366, -2842, -1980, -696?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 225 and 0.386.\nAnswer: 86.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5082 or -157540\/31?\nAnswer: -5082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3299 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from qiixiiiuxpqqitqti?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-9*q + 4*q + 3*q) + (1 + q - 1)*(0 + 0 - 1).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -99, -97?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*c + 4*k, 10*c - 5*c - k = 39. Suppose 7*t - 3*t - 216 = 0. What is the highest common divisor of c and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1300) + -3)**2.\nAnswer: 240*sqrt(13) + 20809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52 - 78289?\nAnswer: -7831b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89367 and 39.\nAnswer: 1161771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**7\/420 + t**6\/20 - 3*t**5\/10 + 251*t**2. Solve q(a) = 0 for a.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5267*x - 495110. What is q(-94)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22330 - -13102222313?\nAnswer: 13102133323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.5528 rounded to the nearest ten?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjyjjjjyjjjj. What is prob of picking 3 j?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15403*r*x**3 - 828*r*x**2 - 14555131*r wrt x.\nAnswer: -46209*r*x**2 - 1656*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 8 = -4*u, -18*q - 4*u = -19*q + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3318 is divided by 1450.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 9*v**2 - 275*v - 3586. What is r(-11)?\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37212.56 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(32 - 27)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 703538.347 to the nearest 100.\nAnswer: 703500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011121000 (base 3) to base 4.\nAnswer: 110002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37, -0.5, 0.22?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 19\/7 - 4\/(-14). Suppose -u*v + v = -10. Suppose -5 = -5*y + 10. Calculate the remainder when v is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 1. Let s be c(-6). Let p(r) = r**2 - 5*r + 5. Let y be p(s). Let b = 25.8 + -26. What is the third smallest value in b, 2\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0. Let l = 3.8 - q. Let w = -8 + l. Which is the third biggest value? (a) -3\/2 (b) 2\/19 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 - 788*c + 17136. Calculate p(-177).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -10*(-3 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5279212, -2\/13, 0.06 in descending order.\nAnswer: 0.06, -2\/13, -5279212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7979097477?\nAnswer: 3, 13, 53, 3860231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132041 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -87 - (1 + (0 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 8.65?\nAnswer: 8.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 68*p - 1366. Determine b(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + 6*(sqrt(57) - -3*sqrt(57)) - sqrt(57) - (sqrt(57) + -2*sqrt(513)))\/(sqrt(36)\/(sqrt(48)\/(sqrt(4)*-1))*1).\nAnswer: -29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 43)\/(4*(-54)\/180).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-8)\/(-4)) + (-245)\/56 + -3 + -6\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 274 + -272. Calculate the smallest common multiple of (-2)\/((-8)\/(-18))*-6 and (820\/28 - -4) + x\/(-7).\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((-30 - -8) + 24 + -4 + 0)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 11:45 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85866 or 85951?\nAnswer: 85951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 3:45 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -9. Let c = 0 - a. Suppose o = -2*r + 1, 0 = -0*r + c*r - 5*o - 40. Solve 2 + r = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, 0, -3.\nAnswer: -3, 0, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605004, -4839935, -16334736, -38719341, -75623684, -130677699?\nAnswer: -207511320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/7 (b) -4 (c) -2 (d) 202 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -9\/71 (b) -27 (c) -0.6 (d) -0.2 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103996*z**4 - 5*z**2 + 1985438*z wrt z?\nAnswer: 1247952*z**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2*t**2 - 3*t**2 - 6)*((-3 + 1 + 4)*(-2 - 2 + 3) + 4 - 3 + 0 + 1 - 3 + 1 + 3 - 2 + 1 - 25 + 8 + 6).\nAnswer: 55*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/((-62)\/(-155)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*l + 30. Suppose -v - 5 = -l. Solve v + 8 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -2, -561, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 2, d: 1, s: 1, f: 2}. Give prob of picking 1 d and 1 i.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39 + 38)*(0 - 2\/7). Factor 0 + 2\/7*t**2 - p*t.\nAnswer: 2*t*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.62 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -225, -10.\nAnswer: -225, -29, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(0 + -2) + 5. Suppose 9 = -d*u + 1. Let y be ((-17)\/(-2))\/(u\/(-4)). Solve 3*z + 21 = 2*i, -2*i + 3*i + y = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 5:14 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 = 2*f. What is the tens digit of 164\/f + (-6)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) -6\/5 (c) -1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -132\/7. Let k = 0.18 - -0.12. What is the closest to 1\/3 in o, k, -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2324)\/(-14))\/((-4)\/(-46)). Suppose 11989 = -8*s + y. What is s rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:40 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3964 by -1.\nAnswer: 3964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -5. Let t be n\/(4\/((-40)\/3)). Suppose 0*x - 4*x = t, m + x = 32. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/6)*o*(o\/((o**(-12)*o)\/o*o))\/o*o*o)\/(o*o**(-2\/9)*(o\/o**33)\/o) assuming o is positive.\nAnswer: o**(847\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2 and -97\/875252.\nAnswer: 875252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1059*t + 54008. Determine m(51).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1855 - 1848. Solve i + 5 = -5*s, -i + j*s + 1 = 6*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*a - 753*a = 349*a + 45210 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -396669\/11 greater than -36061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g. Suppose k - 4*u + 13 = 0, 0 = 3*k - g*u + 3*u + 39. Let i = 2 + k. Round i to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) + (-146)\/(-4). Let s = 6 - 22. Let f = w + s. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peeeeepeeeee. Give prob of sequence ppee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 200 + -203. Let m be (-21)\/g + (-200)\/30. Which is the second smallest value? (a) -2\/9 (b) m (c) 0.5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 1\/4, -8, 0.1, 14 in decreasing order.\nAnswer: 14, 1\/4, 0.1, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25007533\/3 or -8335843?\nAnswer: -25007533\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275590945 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 214 = 4*h, -4*y - 395124 = -4*h - 394908 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -100*k + 1117. Calculate the remainder when l(10) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + 18 - (1 + -5). Calculate the greatest common factor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87 - -67) + -34 + -21?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380 = -8*p + 60. Let s be (-33000)\/(126\/p - -3). What is s rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*2\/(4\/(-2)). Let j be (-1)\/3 + (-5)\/(15\/(-37)). Let w = i + j. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 21. Suppose 0 + 16 = t - 3*d, -20 = -t + v*d. Solve -q = b - 9, 10 = -b + 2*q + t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 580*w - 16820 = 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 25, 5*c - 2*c + 19 = -4*w. Let h be 3 - (-38)\/14*w. Determine q, given that 0 + h*q + 2\/7*q**3 - 4\/7*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234712 is divided by 1234709.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -v + 53 - 379, -5*b - v + 324 = 0. What are the prime factors of b?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = i + 230, -43 = 2*r + 3*i - 200. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 3. Suppose 5*c = -j + 44 - 2, c + 5*j = -6. Let u(m) = 6*m + 6*m - 4*m - c. Calculate -4*u(v) - 11*x(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**8\/112 + 7*n**5\/30 - 13*n**2. Find the third derivative of x(v) wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 15127\/2922?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmlmmmmmmjjmgjm. What is prob of sequence jlmj?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*a - 2070 = 8682. Let c be -1 - -1 - (-96 + 0). Calculate the greatest common factor of c and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:21 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 93, 6913, 0 in decreasing order.\nAnswer: 6913, 93, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + o. Let y be u(0). Suppose y*r = -r + 3. Suppose -r*t = b - 17, -t + 6*b - b = 21. Solve 4*s = 0, -5*k = t*s + 12 + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6 (b) -2 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 26350000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1141, 1900, 2673, 3466, 4285, 5136, 6025?\n\"Answer: h**3 + h**2 + 749*h + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*o - 5 = -3*v, 4*o - v - 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 + -2?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 2*s**2 + 4*s - 3. Let h be g(3). Suppose -5*y - 5 = -q, h*y = 3*q - y - 1. Let w(a) = a - a - a + q. Let f(o) = 3*o. What is f(w(u))?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/((x**25*x)\/x))\/x)\/x*x\/(x*x**(-8)*x))**(1\/6))**(-2\/5) assuming x is positive.\nAnswer: x**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/42 and 53\/309.\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 253750.104 milliseconds to days.\nAnswer: 0.0029369225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 7*t**2 - 2*t - 14. Let s be k(6). Suppose 1188 = s*z - 252. Is 36 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 388 and 7594?\nAnswer: 1473236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-2)*1\/42. Let s(n) = -n**3 + 5*n**2 - 2*n - 6. Let a be s(4). Let q be ((-3)\/12*a)\/1. What is the closest to 0.2 in q, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 139 = -6*k + 2*k, 26 = k - 3*f. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(117) - ((sqrt(117)*2 - sqrt(117)) + sqrt(117))) - sqrt(117))\/(1*sqrt(18)\/sqrt(2))*-3.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 + -141. Suppose 0 = 11*f - 568 - 147. Calculate the remainder when f is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/44 - -6*133\/154. Let h = 420 + -419. Put 6, h, k in ascending order.\nAnswer: h, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172724 + 172724 - 1154*y to the form q + w*y and give w.\nAnswer: -1154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/28 + (212\/(-336))\/(8\/12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/((20\/3)\/(-5)). Solve -l = u + 4, r*u + 6 = 2*l + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y + 71 - 3*y**2 + 0*y**2 + 3*y**2 + 5*y**2 - 10*y to t + z*y + q*y**2 and give t.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 2*b**2 - 29*b - 2. Let n(o) = 6*o**3 - 11*o**2 - 146*o - 10. What is -2*n(s) + 11*y(s)?\nAnswer: -s**3 - 27*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0173742 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16008377, 16008383, 16008391, 16008401, 16008413, 16008427?\n\"Answer: l**2 + 3*l + 16008373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 154087\/8 = 19262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7143*f**3 + 14245*f**3 - 7139*f**3.\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 5*h + 3*h)*(1 + 2 - 5) + (1 + 3 - 2)*(-4*h + 1 - 1).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72.99 - 73. Let m = w - 0.49. Which is bigger: -3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*h + 157*h - 40 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 - 817*m**3 + 0*m**2 + 0*m**2.\nAnswer: -792*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, v: 7, n: 2}. Give prob of sequence vvv.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1625 + -1550. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23387 and 63050.\nAnswer: 113426950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-40) + (-31)\/(-5). Let c = s + -4. Solve -12 = c*l + 2*o, 4*o - o + 14 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*q, 0 = -4*v + 3*v - 4*q - 9. What is the smallest common multiple of 10 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 669*c**2 + 26*c - 53. Let p be q(5). Suppose p = 7*m - 4688. What is m rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 4*g - 4*g)*(-g - 2*g + g + (2*g - 4 + 4)*(3 - 2 - 2) + 0*g + 0*g - g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1127 + 1127.2. Put f, 72\/11, 0.1 in decreasing order.\nAnswer: 72\/11, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = b - 195, 0*p = -5*p - 25. Calculate the least common multiple of 16 and b\/8 + 12\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:45 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {x: 8, t: 3, u: 1, i: 2, r: 2, d: 4}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2 + 3*r + 6. Let j(a) = -7*a**2 + 6*a + 11. Suppose -4*g - 10 = 2*u + 2, -5*u - g - 30 = 0. What is u*j(k) + 11*d(k)?\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018459.\nAnswer: 71, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnbbddb. Give prob of sequence nddc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 + 19*w**3 - 283*w**2 - 3895*w + 28158 = 0. Calculate w.\nAnswer: -19, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3 + 11772*d**2 - 8584224*d - 113593168 = 0. What is d?\nAnswer: -13, 1478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f - 12 = 0. Solve 2*t + 5*q + 7 = 0, 4*t = 2*t - 2*q - f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 57. What is the least common multiple of 7 and (-20)\/o + (-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 768 = 19*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfwkpfkppppfkpkkw. Give prob of picking 1 w and 1 f.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4*a - a)*(17*a - 78 + 78) + 271*a**2 - 163*a**2 + 29*a**2 - a.\nAnswer: 171*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 4*b**3 - 2*b**3 - 1. Let w be a(0). Suppose 16*f + 43 = -5. Sort f, -5, w in ascending order.\nAnswer: -5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3137, -12544, -28223, -50174, -78397?\n\"Answer: -3136*l**2 + l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-10) - 12260\/(-15325)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, x: 1, e: 2, c: 1, v: 1}. Give prob of sequence ecep.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67282739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/1 - (-21)\/7. Suppose -y*r + 75 = -3*r. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5252 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwttw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 3*m + 42, -4*b - m - 8682 = -8636 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25 + 2)*-1)\/((-6769)\/(-6769))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdzaq. Give prob of sequence kq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n - 8. Let s be y(-4). Let h = -278\/7 - s. What is the closest to 2 in -3, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660325 = 63*s + 56533. Calculate the greatest common divisor of 48 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177c (base 14) to base 4\nAnswer: 1002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34925, 34923, 34921?\n\"Answer: -2*r + 34927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 118, 277, 500?\n\"Answer: 32*i**2 - i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.012 - -2.012. Let x = 4 - 3. Let q = x - 2. Which is the nearest to q? (a) k (b) -2\/15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -453575 + 11801*k + 453575 as p + l*k and give l.\nAnswer: 11801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxiixdixdodoxxixxdi?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463214?\nAnswer: 2, 231607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 707877 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -31*l**2 - 2. Let k(a) = -10*a. Let p(d) = 3*d. Let v(b) = -k(b) - 5*p(b). What is v(x(c))?\nAnswer: 155*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002293399133 to seven dps.\nAnswer: 0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3. Suppose 0 = z + c*z - 8. Suppose 0 = 4*g, 0*g = z*m - g - 4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1320 (base 8) to base 9.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 + 13*y**2 + 2*y - 16. What is the tens digit of g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19*5 - 75\/(-90)*-12. Calculate the greatest common factor of 32 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -22 + 1 + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**14*p)\/p**(2\/9))\/(p**(-2\/5)\/p)**(-35) assuming p is positive.\nAnswer: p**(-308\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*s - 339*s - 14*s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, g: 2, p: 2, y: 2, c: 1, s: 1}. What is prob of picking 1 c, 2 g, and 1 s?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -2189?\nAnswer: -218a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*y**3\/5 - 33*y**2\/5 + 3*y\/5 + 9\/5.\nAnswer: 3*(y - 1)**2*(7*y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-477)\/(-27)*2\/((-4)\/6). Let n = k - -71. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5117, -5?\nAnswer: -5117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 4*a**2 - a**2 + (2*a + 1 - 1)*(0*a + 3*a - 4*a) - 4 - 2*a**2 + 4)*(9*a + 9*a - 7*a) + (4*a + a**2 - 4*a)*(2*a - 6*a + a)*(-4 + 2 + 3).\nAnswer: -69*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -43*c**2 - 103*c + 103*c + 59*c**2. Let v(d) = -23*d**2. Determine v(t(a)).\nAnswer: -5888*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 4) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/160)\/((-6)\/4) - (-82214)\/(-659340).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1017\/4746*21\/(-18)*2)\/(2\/(-5))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*4896\/(-1530)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130413 - -130413. Let p = 28 - 83\/3. Factor c**2 + 1\/3*c**4 + c**3 + w + p*c.\nAnswer: c*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2. Let c = -54 + 56. Let q(i) = 0*i**2 - 21*i**2 + 2*i**c. What is q(x(m))?\nAnswer: -76*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 25. Let b = 14 + x. Solve -3*w - 2*w + q = -21, -b*w = -5*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 35*l = 41*l - 268. Solve -l*g + b + 12 = -2*b, 5*g + 4 = -b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 5*i**4\/4 + 13*i**3\/6 - 14*i**2 + 12*i + 3. Differentiate b(s) with respect to s.\nAnswer: 30*s + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = 3*q - 3*w + 31, w = -q - 7. Let r be q\/(-5) + 13\/5. Which is the nearest to 0.1? (a) -0.3 (b) 2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 204*m - 28*m + 1 + 8.\nAnswer: 176*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -2*p. Let i be (-3 + p)*(-3 + 2). Suppose 3*g + 4*z = 2, -i*g - 2*z + 6 = -0. Sort g, -5, 3.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*m + 1715 - 1715 + (1 - 3 + 1)*(3*m - m - 4*m))*(-2*m - m + 4*m).\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 15, -5*n - 2*l = -n - 58. Let a = -30 - n. Let q be (-2)\/6 + a\/(-3). What is the greatest common factor of 15 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -326 (base 8) to base 12.\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + r + 50 = 129, -4*r = u - 1. What is the hundreds digit of -2 - (u\/(-3) + -585)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 90 = -5*v, -3*y - 2*v + 6 = -50. Suppose -2*p - 10 = -4*p - 2*o, 0 = -4*o + 4. Calculate the least common multiple of p and y\/(-3)*6\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (-2*sqrt(78) + sqrt(78)) - sqrt(78))\/sqrt(6) + sqrt(13) - (-3 + sqrt(52)\/sqrt(4) + sqrt(13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-7) + -31 + 27. What is the nearest to w in 3\/5, -5, -1.192, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1433742\/(-60459)*105\/(-24)*(-2)\/10\nAnswer: -83\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 1, 0, 2\/105?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3884 = -c, -c - 2*z - z = 3914. Is 1 - (c - (-2)\/((-4)\/6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1650 = -3*k + 3*m, 0 = 4*k + 12*m - 10*m - 2212. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 - ((-12 - -5) + (10 - 8)) - -56\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*14\/14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -43, -78, -149, -268, -447, -698?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 814.2 * 117\nAnswer: 95261.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -15. Suppose -3*b + 0 = -4*d + 32, -2*d = -b - k. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*m = -0*m - 8, 0 = -2*d - 3*m + 3. Solve -3*c + 10 = -2*g - 4, -18 = 3*g - d*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0*v - 1\/16*v**4 + 0 + 1\/120*v**5 + 1\/6*v**3 + 21*v**2. Factor l(m).\nAnswer: (m - 2)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 3*v**2 + 0*v**3 + 2*v**3)*(2*v + 2*v - 2*v)*(3 - 3 + 2).\nAnswer: 8*v**4 - 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:15 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**2. Let o(r) = 12*r**2. Let x(c) = 5*f(c) + 3*o(c). Let u(g) = -g + 1407. Give u(x(p)).\nAnswer: -p**2 + 1407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88376?\nAnswer: 2, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270)*-2)\/sqrt(6))\/((sqrt(45)*-2)\/sqrt(5)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-18)*(-20)\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 17*f + 56. Let k(g) = -4*g + 24. Let y be k(f). Is 5 a factor of (y\/6)\/2*(-6)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.07 (b) 12\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*r**2 - 145*r**2 - 1408*r**2 - 1726*r**2.\nAnswer: -3163*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 + 1691936*p**3 - 357805548572*p**2 - 10735308540960*p - 80517669300450 = 0.\nAnswer: -15, 422999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 797 - 387 = -23*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15391 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: Let z(j) = -j**3 - 6*j**2 + 40*j + 35. What is z(-11)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {x: 2, i: 18}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4*u - 27*f**2*u + 2*f + u - 11 wrt f?\nAnswer: -36*f**2*u - 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*g + 4830 = 7*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -44, 20 in decreasing order.\nAnswer: 20, -4\/3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3075519*k. Let x(m) = -m**2. Determine x(r(j)).\nAnswer: -9458817119361*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 2*h - 2*h)*(-h**2 - 1 + 1) + 2 + 4*h**3 - 2 + 3*h**3 + 4*h - 4*h - 4*h + 4*h + h**3 + (-h - 2*h + h)*(h**2 + 5*h**2 - h**2).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 671 - 667. Solve -9 = d*h + 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 10 - 10)*(1 + 0 + 0).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r**2 + 40*r - 4. Let l(d) = 4*d**2 + 13*d - 1. What is -2*h(a) + 7*l(a)?\nAnswer: 2*a**2 + 11*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1851 * 52.\nAnswer: -96252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*c = -8, 8*y + c = 12*y + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - -2.05. Let w = 4 - f. What is the smallest value in -2\/7, 3, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271 + 458. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = -2, 0 = -2*u + b + 3. Suppose -2*n + u = -2. Suppose -n*q - q = -504. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8410246, -16820526, -25230808, -33641092?\nAnswer: -42051378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 621 and -1921151940.\nAnswer: -1921151319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*d**4 - 54*d**4 + 12*d - 10*d - 19 wrt d?\nAnswer: 1572*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 9*q - 19*q. Let k(j) = 78*j**3 - 3*j - 5. Let c(w) = 233*w**3 - 8*w - 18. Let y(u) = q*c(u) + 8*k(u). What is the first derivative of y(d) wrt d?\nAnswer: -225*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 18*l**2 + 21*l - 45. Let u be ((-646)\/(-102))\/((-1)\/(-3)). Let m be z(u). What is the second smallest value in 4, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -195, -177, -139, -75, 21, 155?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 2. Let u = -11 - -17. Let o be h(u). Suppose 3*x - x = 3*y - 5, -3*x = -5*y + o. Sort y, 3, 5 in descending order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 11290534.\nAnswer: -1\/5645267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 425.283144.\nAnswer: 415.283144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/((414\/12)\/(-23)). Let m(v) = -3. Let d(r) = r**2 - r + 3. Determine t*d(z) - 3*m(z).\nAnswer: -2*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/36)\/((-30)\/24). Let r = -92 - -86.4. Let i = 6.1 + r. What is the third biggest value in i, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*a*m**3 - 3*a*m**2 - 3*m**3 - 9*m**2 with respect to a.\nAnswer: -29*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - -28 - -26 - 63?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6553.4022 to the nearest 10.\nAnswer: 6550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 39 - 49 + r**3 - r**2 - 3*r**2 + 0*r**2. Determine n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {i: 1, m: 2, z: 3, v: 1, e: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - 0.4. Suppose -4*x - 9 + 25 = 0. Is x bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12062, -24146, -36248, -48368, -60506, -72662?\n\"Answer: -9*k**2 - 12057*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -0.71, 2\/315, -4\/9, 6?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -347 smaller than -479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6000)*-3)\/(sqrt(108)\/((sqrt(135)\/sqrt(3))\/sqrt(5)))*-6.\nAnswer: 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 114 + 216. Let g = 491\/3 + i. Find the common denominator of 103\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10029.28 rounded to the nearest ten?\nAnswer: 10030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/4 (c) 2\/5 (d) 2\/3 (e) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12173 is divided by 1153?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*y = 142*y - 756*y - 66258 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 948 >= 7591\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -728434, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201207 is divided by 67051?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.038591 to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 113850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*u, 101 = r + 3*u - 804. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let u = -670\/1197 - 2\/171. Which is bigger: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2619483?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/457 or -0.189?\nAnswer: -0.189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.07 - 0.07. Let q = -0.35793 - -0.25793. Which is the nearest to 0.1? (a) n (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(75) - (-2*sqrt(75) + -5)) + sqrt(75) - 4*(1 + sqrt(75))) - (-1 + sqrt(243) + -3 + 3*(sqrt(3) + 1 + 3)))**2.\nAnswer: 144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.35 + -27. Let y = v - 0.25. What is the smallest value in y, -1\/6, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1, -2\/7, -3\/4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + j - 2. Let o(d) = -d**2 - 3*d - 310. What is o(v) + 3*x(v)?\nAnswer: 2*v**2 - 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 23 - 47 - -17.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 - 214?\nAnswer: -214.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/359, 1158?\nAnswer: 1158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 9, g: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*g - 19*g + 36*g - 63*g)*(3 - 2 - 36*g + 0*g).\nAnswer: 4068*g**2 - 113*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2880562 - 2880562 - i**2 - 17*i + 17*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1621851 + 1621851 + 7*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16897 (base 10) in base 14?\nAnswer: -622d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) 41 (c) 3.8769\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -92. Suppose k - 7*k = 0. Calculate the remainder when o is divided by (k + 5\/(-3))\/(3\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**3 + z**3 + 0*z**3)*(4 + 0 - 65)*(3*z + z - 5*z) as u*z + r*z**3 + p*z**2 + d*z**4 + l and give d.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 9:10 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 242, 354, 462, 566, 666, 762?\n\"Answer: -2*s**2 + 122*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/11, -4, 0.1, -5, 70\/2913?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 140011812*x**2 + 1225205808642924*x - 15927699174363028.\nAnswer: 4*(x - 13)*(x + 17501483)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*t + 4*w, -70*w - 5 = 5*t - 75*w. Is t at least as big as -0.3024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p + 122. Give d(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 176\/(-24))*(-6)\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -1. Let q = j + -9. Let n(g) = 7*g + 16. Let o be n(-2). Solve o*h + 12 = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*c + 5325*c = -4061*c - 829101 for c.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.261 - -11.261012535. Round y to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579552 is divided by 446.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7143 - -1330?\nAnswer: 10473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 82*k - 84.\nAnswer: 2*(k - 1)*(k + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1420 by 20.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33916 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 10*c. Let v(p) be the second derivative of 13*p**4\/12 - p - 7. Calculate r(v(u)).\nAnswer: 130*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z = -2*w + 6, -4*z = 0. Let o be (-1 + 7)\/(1 + 0). Let y be o - (-7)\/((-21)\/6). Solve -1 = y*k - w*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183964545 to the power of 1\/2, to the nearest integer?\nAnswer: 13563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 17 = 2*n, -n + 61 = 2*n + 58 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -302832238 from -0.009.\nAnswer: 302832237.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 3bd7d?\nAnswer: 3bd7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*k**3 + 180*k**3 - 105*k**3 - 101*k.\nAnswer: -8*k**3 - 101*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 63*a**2 - 77*a + 147. What is the units digit of h(-61)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from tnt?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -232, -533, -958, -1507, -2180, -2977?\nAnswer: -3898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 14*o + 255*o**2 + 33 + 9*o.\nAnswer: 255*o**2 - 5*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23562 divided by -6.\nAnswer: 3927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14753 + -14754. What is the closest to u in -0.2, 2.22, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 + 29*d**2 - 7*d. Let u(a) = -6*a**3 - 59*a**2 + 17*a. Calculate -3*u(r) - 7*w(r).\nAnswer: -3*r**3 - 26*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 28\/8*-2. Suppose -g*z + 252 = 21. Suppose 2*n - 23 = 1. Calculate the remainder when z is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*d + 4*w + 64, -677*d + 682*d - 4*w - 81 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*c - 3584 = -60*c. Put c, -4, 0, -5 in increasing order.\nAnswer: -5, -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + h**4 + 4 + h**4 - 2*h + 2*h + 2*h**4 + (2*h**3 + 4*h**2 - 4*h**2)*(-2*h - 1 + 1).\nAnswer: h**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171980 and 481544?\nAnswer: 2407720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**2 - 139075*w + 139080 = 0 for w.\nAnswer: -27816, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 3:09 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*-1*(-3)\/(-9). Let g(f) = 8*f**3 + 5*f**2 - 5*f + 5. Let j(i) = -i**3 - i**2 + i - 1. Give t*g(c) - 5*j(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d - 3. Let n be k(2). Suppose -g + n*g - 17 = -5*m, 0 = 5*g + 5*m - 20. What is the lowest common multiple of 30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 103379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:32 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*c - 722*c - 24 = 0, -c - 23 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 288251307 + 288251307 - 15*o.\nAnswer: o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*c = 3616 + 164, 3*o + 5*c = 3740. List the prime factors of o.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.3, 1\/384, 0, -2, -31 in ascending order.\nAnswer: -31, -24, -2, -0.3, 0, 1\/384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -33*b**3 + b**2 - 15*b + 14. What is j(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*n**2*t**2 - 196*n*t**2 - 10*t**2 - 8 wrt n?\nAnswer: -12*n*t**2 - 196*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 2 - (219 - 228).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13022998447\/3168 - 4110795. Find the common denominator of m and 49\/60.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 - 11*v**4\/24 - 5*v**3\/6 - 430*v**2. Give z(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-4 + 5 - 3)*(6 + 8 - 42)*(-3*v + 8 - 8).\nAnswer: 168*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-492)\/(-287)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 701 - 369. Suppose -8*l = -10*l + d. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 1358*x**3 - 18*x**2 - 12222*x.\nAnswer: 2*x*(x - 3)*(x + 3)*(x + 679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.061321786814673 + 4.\nAnswer: 3.938678213185327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158715 is divided by 8817.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14506936?\nAnswer: 2, 1813367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671384.3ns to microseconds.\nAnswer: 671.3843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3870 - 3875. Which is the nearest to -0.1? (a) -1\/215 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/14*(-666)\/(-555). Put -1\/9, 0.5, k in decreasing order.\nAnswer: 0.5, -1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -0*c + 650. Let x = c + 257. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.938842g to tonnes.\nAnswer: 0.000004938842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiiiggiii?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010010100000 (base 2) in base 9?\nAnswer: -13767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 2*k - 2. Let d be v(-2). Calculate the highest common factor of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j + 42*j + 39*j + 13*j**3 + 37*j - 139*j.\nAnswer: 13*j**3 + 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + 98. Let m = h - 100. What is the third derivative of 32*c**5 + m*c**2 + 226*c**4 - 226*c**4 wrt c?\nAnswer: 1920*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 94. Suppose 3*w - 3*i - 21 = m, -4*w - 3*i = -2*w - 24. Solve -5*d = 2*r + w, -4*r + 0*r - 3 = 5*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*r - 185*r = -392*r + 844*r + 51474 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2217177450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287485760 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.63 to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5273 less than -540?\nAnswer: -5813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -5, 357, 106, 0 in ascending order.\nAnswer: -5, -1\/5, 0, 106, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 6*w**5\/5 + 16*w**3 + 5. What is the third derivative of l(k) wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + j)*(-3*j**2 - 3*j**2 + 3*j**2) + (107*j**3 + 28588*j - 28588*j)*(-2 + 0 + 0).\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721028 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 19 = -4*s - 0*s, b + 1 = s. What is the third derivative of -4*h**3 - 3 + 3*h**2 + b wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302207.\nAnswer: 277, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 32*s - 583. Calculate i(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2345 - 24*n**5 - 77*n**5 - 2345 - 2*n**5 - 4*n + 4*n + (n**2 - 4*n**2 + 4*n**2)*(3*n**3 - 4*n**3 - n**3).\nAnswer: -105*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94*((-3)\/2 - -2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -418*g**4\/3 + 2023*g**3\/6 + 3074*g**2. Differentiate o(y) wrt y.\nAnswer: -3344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 59*v**5 - 2*v**4 + 7*v**2 + 2. Let r(f) = -58*f**5 + 3*f**4 - 7*f**2 + f - 3. Let m(q) = 3*j(q) + 2*r(q). Find the third derivative of m(u) wrt u.\nAnswer: 3660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iilillcl. What is prob of picking 1 c and 2 i?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14671*t**2 - 205414*t - 280.\nAnswer: -(t + 14)*(14671*t + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 90438075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 0*y - 1\/24*y**4 - 5*y**2 + 1\/60*y**5 + 13\/3*y**3. What is the remainder when 102 is divided by w(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3168524986 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 6 = o - 9*r, -27 = -5*o + 4*r for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014698 rounded to 7 decimal places?\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29003.28 milligrams?\nAnswer: 0.02900328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 857766 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310985 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 95?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-17 + 28 - 20) + -1 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12021 is divided by 1884?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1540.85 to 0 dps.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -31*b. Suppose q - 9*q = -16. Let o(m) = -8*m**2 + 3*m**q - 3*m**2 + 9*m**2. What is d(o(y))?\nAnswer: -31*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b = 6. Let d be ((-5)\/2 - -3)*b. Let r be 1*(d + 0 + 1). Solve 6*z + 16 = r*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (214 + 288 - 69)*(-11 + 0 + 9)*(4 - 6 + 1)*(0 + x + 0) to p*x + y and give p.\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*g + 277 = -4*w + 34*g - 551, -33 = -5*w - 2*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -208 - 5?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11*y + 73 + 88 - 193 + 92. What is the units digit of n(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 8. Let z = 0.379 - 0.179. What is the nearest to -0.2 in 2, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 1, b: 1, j: 2, p: 1, o: 2}. Give prob of sequence ozgo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 7*l - 9*l + 2*l. Let p(v) = 85*v - 36. Let a(b) = 42*b - 16. Let q(o) = -9*a(o) + 4*p(o). Calculate q(f(s)).\nAnswer: -76*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2170270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -4*k, 4*s + 2 = -2*k + 14. Let r be 27\/(-30) + -2 + s. Let u be (-2*1\/(-2))\/(-2). Which is the second smallest value? (a) u (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1123311904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let s(m) = 60*m**2 - 60*m. Determine -60*l(t) - s(t).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, -1.8, 2 in decreasing order.\nAnswer: 2, -0.9, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v - 70. Let w be d(-49). What is the tens digit of -66*(-3)\/((-63)\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjj when three letters picked without replacement from fjjjfjjj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -16*x**7\/105 + 8*x**5\/15 - x**3\/3 - 2*x**2 + 10*x. Find the third derivative of z(d) wrt d.\nAnswer: -768*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127746, -255550, -383354, -511158, -638962?\nAnswer: -766766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89\/267)\/((1*-1)\/12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2)*(-75)\/3. Solve 0*s = 3*s - 5*z + d, 10 = 4*s + 2*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from fmxdx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14259653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(200) - (sqrt(200)*-3 + -4))*1 + -4)**2 + 1 + -2) + -2.\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 1106 = -650 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013 + -20?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, o: 1, f: 2, u: 1}. Give prob of sequence ou.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -930aa (base 12) in base 15?\nAnswer: -3bd0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.47686kg?\nAnswer: 0.00847686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100110101010 (base 2) to base 14.\nAnswer: c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millimeter in nanometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6) + (-279)\/90 + 3. Let t(u) be the first derivative of k*u**3 + 1\/5*u**2 + 2 - 1\/10*u**4 - 6\/5*u. Factor t(w).\nAnswer: -2*(w - 3)*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 22. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Let n = 1.99 - w. Let j = 0.31 + n. What is the second biggest value in 2\/3, 4\/3, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**3 + 0 - 5 + y**2 - 21*y**3 - 5 - 2*y.\nAnswer: -45*y**3 + y**2 - 2*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*u**6 - 1871*u**3 - 45784*u**2 wrt u.\nAnswer: -360*u**3 - 11226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = c - 16, p - 5*c = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 4)\/(2\/((-6)\/135*(-15 - -20))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3683000 rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 0*p + 3*s - 12, 0 = -5*p + s - 26. Let u be 5\/(-2)*31*p. Suppose 66 = -3*k + u. 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 biggest value in 8, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -507*z**2 + 2. Let h(x) = 69*x + 76. Determine h(y(a)).\nAnswer: -34983*a**2 + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 2*j - 5. Let b be n(-4). Let a = 16 + b. What is the common denominator of ((-6)\/(-14))\/(12\/(-126)) and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14082741259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y + 36 = 0. Let j = 66 - y. What is the greatest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/1133 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 167*o + 1179. What is t(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745 is divided by 176.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/13 + (-672)\/(-364).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t + 93. Let h be d(-11). Let f(q) = 4 + 3 - 2 + 2*q. Calculate f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:13 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 17. Suppose -b + 3 = 7, 0 = -p*f - b + 524. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) 32 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/5)*o**(-2)*(o**(-4\/3)\/o)\/o*(o*(o**(-2\/11)*o)\/o)\/o assuming o is positive.\nAnswer: o**(-1042\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + (4 - 10))*21. Let u = 23 + l. Let s = 5 - 3. Solve -3*r + 15 = -2*t, -s*t - 13 = -u*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 518499.66 to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from ljmmmmiimicmilijljm.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 9 = y, -5*y + 2*y - 2*f = 67. Suppose -30 = -d + 22. Let g = y + d. Calculate the highest common factor of g and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 + 200. Calculate the least common multiple of x and 105.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 8*l - 4*l. Let h be 157\/3 + (-1)\/3. What is the highest common divisor of l and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2622267\/10 - 1581031\/6. Let j = 1279 + a. Let -6\/5*v**5 - j*v**3 - 8\/3*v**4 + 12\/5*v**2 + 4\/15 + 26\/15*v = 0. What is v?\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*(m*m\/m**(-1)*m)\/m*m))\/m)**(-6)\/(m**8*m*m\/m**(6\/11)))\/(m\/(m*m**(2\/19)*m)*m**(-3\/11))**49 assuming m is positive.\nAnswer: m**(18406\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 152264304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -524 * 0.0374\nAnswer: -19.5976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*n + 2 + 2, -n + 2*z = 8. Let f = -0.552 - 0.448. Which is the nearest to f? (a) -5 (b) n (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 + 0.8. Let n be (-4)\/18*(-39)\/26. Is f >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3135\/(-150) - -20)\/(-1*(-12)\/25).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, 27473, -29, 0.1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + b = -4*r - 15, 4*b = -5*r - 27. What is the remainder when -13*((2 - 0) + r) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.7 and 190.\nAnswer: 184.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 25*j + 179. Calculate d(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 254 and -9.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 51 = -16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138160 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-345)\/(-460))\/((-33)\/176).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 266 and 28500?\nAnswer: 199500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*c - 371*c - 105 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1681*g**4 + 2174*g wrt g.\nAnswer: 20172*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1099806 and 13?\nAnswer: 14297478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 511972939 and -2?\nAnswer: -1023945878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/((-44)\/(-44))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d + 3*m - 8809, 0 = -4*d + 2*m + 8794. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431559 take away 2?\nAnswer: 431557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**2 - 2*b + 2. Let x be 3 - (-1 + 5 + -3). What is the units digit of a(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1186018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 482 + -508.9. Let o = -26.948 - 0.052. Let r = o - y. Which is bigger: r or -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4)**(-10)*(p**5\/p*p*p)**39)**20 assuming p is positive.\nAnswer: p**3880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 0*s - 4*s - 2*s - 3 + 3 + (0 + 0 - 2*s)*(-3 - 1 + 2) - 26*s + 6*s + 12*s)*(0*s - 4*s - 2 + 2*s) in the form p*s + l*s**2 + o and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -162. What is the second biggest value in -1, 0.3, i, -21, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 23*f**2 - 1. What is the remainder when 43 is divided by a(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 5. Let q = -2540 - -2538. Sort 0.5, q, k, 0.1.\nAnswer: k, q, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 1dc03?\nAnswer: -1dc03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 2. Let d be q(3). Suppose -3 = -4*y + 5. Let j be y\/8 + (-120)\/(-32). Solve 4*n + d = 5*l - 4, 0 = 4*l + 2*n - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-25))\/((-4)\/5). Let x = 1147 + -1147. Which is the closest to x? (a) q (b) 1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 5. Let b(o) = -7*o - 3. Let l(t) = 7*t + 2. Let m(y) = -7*b(y) - 6*l(y). Suppose -853*v + 711*v + 1562 = 0. What is v*w(p) + 6*m(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**2 - 2*h - 1. Let x be ((-4)\/6)\/(24\/36). Give q(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(36\/(-6))*(-6)\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*h = 115*h, 114 = 2*m + 4*h. What is the remainder when m is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbjibvpivi. What is prob of sequence ibpv?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 401966 + -24a2?\nAnswer: 3aa474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -27*o**4 + 34*o**2 - 24*o**4 + 7 + 7 - 36*o**3 + 71*o**4. Let t(j) = -7*j**4 + 12*j**3 - 11*j**2 - 5. Let k(b) = 5*m(b) + 14*t(b). Factor k(z).\nAnswer: 2*z**2*(z - 4)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -16*o**2 + 16*o + 11. Let h(d) = -d**2 + d - 4. Let m(j) = 8*j**2 - 8*j + 18. Let f(x) = -5*h(x) - m(x). What is -2*b(t) + 11*f(t)?\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 5. Let z be o(6). Let d = -40192 - -40202. Is z < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3291258564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(80) + sqrt(80) + 3*sqrt(80) + 2 + 1)**2 + (sqrt(80) + sqrt(80)*-2 + 1 - (4*(sqrt(80) - (sqrt(80) + -2*sqrt(80))))**2))*3.\nAnswer: -9318 + 348*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = -2*k + 6, -2*k - 2 = 0. Calculate the highest common factor of u and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 2*u - 9*u + (-1 + 0 + 2)*(4*u - 2*u + 0*u) + u - 2*u + 2*u + 2 - 2*u - 2 + 3*u - u + 3*u as a*u + f and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 128, -292, 1, -3, -5 in increasing order.\nAnswer: -292, -5, -3, -1, 1, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 27 + 24*s + 16 + s**4 - 53*s + 3*s**2 in the form n*s**3 + g*s**2 + w + y*s**4 + p*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 235702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -202, -2.7, 8, 316\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 331 = 16*o. Suppose -3*r + 23*p - o*p = -1091996, 5*r - 4*p = 1819992. Round r to the nearest 10000.\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**3\/6 + 7*y**2\/2 + 2*y. Let q be v(-6). Solve 5*c + 40 = 3*l, -2*c - 16 + q = -l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 28 - 24 - 6*h**3.\nAnswer: -14*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002876185 to six dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*n + c, 0 = n + 4*c - 14 + 4. Solve 1 = -n*b - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -555340?\nAnswer: -1\/27767","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17806.\nAnswer: 2, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3. Let a be h(1). Suppose 3*t = 5*c - 3 - a, 3*c + 2*t - 15 = 0. Suppose -d - 53 = -5*y, -2*d + c - 39 = -3*y. 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: Evaluate (86 - 92) + (2 - -30 - (4 + 0)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375 less than or equal to -47\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -81. Let r be m\/(-66)*(-9)\/((-63)\/(-28)). What is the third biggest value in 3\/5, -0.3, -0.04, r?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.37623 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 170. Is h(40) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5274 + 0.0964. Let b = -0.069 + x. What is the smallest value in 3, 33, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36172, 36331, 36490, 36649?\nAnswer: 36808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -935 (base 10) to base 11.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - 2*u**2 - u**2)*(2*u**2 + 4 - 4) + 47*u**4 - 919*u + 919*u + 5*u - 5*u - 4*u**4 in the form i*u**3 + w*u + o + d*u**4 + p*u**2 and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.6040048 + 38.684. Let s = 0.11 + -0.19. Let z = s + r. What is z rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -844 (base 12) to base 10\nAnswer: -1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 16*n**2 + 18*n + 9. What is the hundreds digit of s(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.68 (b) -1\/6 (c) 0.3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*d + 238 + 14 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*w**2 + 149*w**2 - 52*w**2 - 51*w**2 + w + 0*w - 47*w**2.\nAnswer: -46*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -6. Let x be ((-6)\/(-4))\/(l\/((-32)\/3)). Are x and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(11\/(-44)) + 3498 + 0. Let u = 8311 - x. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 4}. What is prob of sequence gg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217\/4 or -53?\nAnswer: -217\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10) - 34\/(-10). Suppose -5*v - 2 = h. Put v, 1, -5 in increasing order.\nAnswer: -5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -613 - 438*x**2 + 613 in the form q*x**2 + f + a*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 70.56773 years?\nAnswer: 846.81276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 22*s**4 - 5*s**3 - 22*s**2 - 5*s - 5. Let z(t) = t**3 + t**2 + t + 1. Let f(i) = h(i) + 5*z(i). Find the third derivative of f(n) wrt n.\nAnswer: 528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-96) + 0)*(-2 + -2). Let a be (-136)\/(-1071) + 6\/(-27). Put 58, 2\/15, z, a in decreasing order.\nAnswer: 58, z, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 c, 1 l, and 1 w when four letters picked without replacement from {l: 2, w: 1, n: 1, c: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 8. Find the second derivative of -t - d*t**3 + 8*t**2 + 2*t**3 - 8*t**2 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 23 + 27. What is the third derivative of 55*r**5 - 70*r**i - 471 + 471 + r**6 wrt r?\nAnswer: 120*r**3 + 3300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 16183?\nAnswer: -16181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbhhwhee. What is prob of sequence wb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/12 and 141\/42 - 4\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -2\/9, 5, 29353.\nAnswer: -2\/9, 5\/3, 5, 29353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -137?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2204)\/(-872) + 3\/(3\/(-4)). Let w = 3\/109 - a. Factor 0 + 1\/2*l**4 - w*l**3 + 2*l + 0*l**2.\nAnswer: l*(l - 2)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3469 - 3465. Let h = 6115\/2604 - 55\/84. Let z = h + -6\/31. Sort -0.1, l, z, 0.5 in ascending order.\nAnswer: -0.1, 0.5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (-8 + 56)\/(-8))*-2. Sort -1, -4, i, -13.\nAnswer: -13, -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 9*d - 9*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 5*a + 30. Let s be (360\/(-54))\/(2\/(-3)). Let b be i(s). Is -21 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1315*g**5 - 1350*g**4 - 2595*g**3 + 70*g**2 = 0. What is g?\nAnswer: -1, 0, 7\/263, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 22 - 14*d - 22 + (7*d + 8 - 8)*(-16*d + 3 - 3) as l*d**2 + h + f*d and give l.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -164*f**2 + 320*f + 16.\nAnswer: -4*(f - 2)*(41*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 6. Let m be q(8). Let t be (4\/7)\/m - (-3)\/(-14). Sort -6, 5, t, 0.1 in ascending order.\nAnswer: -6, t, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + -3 + 1 + 2*sqrt(2) - (-2 + sqrt(72) + 0)**2.\nAnswer: -78 + 37*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**5\/10 - f**4\/12 - f**3\/6 + 3*f**2\/2 + 2. Let r(x) be the second derivative of k(x). Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 380417264409217 and -0.3.\nAnswer: 380417264409216.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -2*b**3 + 0*b + 0 - 5\/12*b**4 - 4*b**2. Calculate the remainder when m(-7) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-7)*-21*(-9)\/(-648). Which is the closest to 1? (a) 2.8 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 2. Let c(i) = d*i + 2*i - 3*i. What is c(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110003000 + 131?\nAnswer: -110002203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - 1. Let t = s - -4. Let b be (0 + t + 3)\/(-1). Solve -7*n = -b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211 + -142354011?\nAnswer: -142353400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(200) + -2)*5 + 5 + 3)**2.\nAnswer: -27200*sqrt(2) + 84624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*p - 20, 2*m - 12 = -0*p + 2*p. Let y(f) = -3*f - 3 - 37*f**2 + 3 - m + 39*f**2. Suppose 4 = -h - 2*t, -4 = -h + 5*h - 4*t. Determine y(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j*j**(5\/4)))\/j))\/j)**31\/((j\/(j\/(j*j*j\/(((j*j\/j**(1\/2))\/j)\/j))*j))\/j*j**12) assuming j is positive.\nAnswer: j**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -221. Suppose 4*z - 17*z + 2613 = o. Round z to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -315057 - -26*6\/(-12). Round h to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Let f = -1 + v. Suppose 8 = 2*s + 2*s. Solve f*j - s = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5))**15 assuming q is positive.\nAnswer: q**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 63. Solve -z = 5*w - 4*b, 0*w + w + 6 = 5*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**13\/(m**(1\/14)*m) assuming m is positive.\nAnswer: m**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + 0 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*k**5 + k**4 + 2*k - 1364?\nAnswer: -360*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546541707.\nAnswer: 3, 19, 251, 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3380, -3567, -3764, -3971, -4188, -4415?\n\"Answer: -5*m**2 - 172*m - 3203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11016 + -11015.91. Are l and -22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/22396504 and -109\/1144.\nAnswer: 246361544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123388*o**3 - 70327*o**2?\nAnswer: -740328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -19) + 5 + -13 + -10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -316525*g**5 - 248445*g.\nAnswer: -6330500*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -10, -712 in descending order.\nAnswer: -3, -5, -10, -712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.148 + 0.048. What is the second biggest value in -5, n, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 568*v + 11854. What is w(-21)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2670195 is divided by 89.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 - 21*w**4 + 4*w**2 - 64*w + 11820 + 5*w**4 + 11827 - 23652 as c*w**2 + i + p*w**4 + j*w + g*w**3 and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 78?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2584)\/152 + -3 + 822\/41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8055541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/45*-7*(-36)\/(-168)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987703712?\nAnswer: 2, 941, 32801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {k: 2, f: 1, g: 1, y: 1, m: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1379185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2858.3+-469.839482\nAnswer: -3328.139482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-12) - (-265)\/(-30). Let o be -3*(2 - x\/(-3)). Put o, 2, 4 in ascending order.\nAnswer: 2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130902168*m**2 - 202210801 wrt m?\nAnswer: 261804336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/17))**14)**(-37))**(2\/9) assuming x is positive.\nAnswer: x**(-2072\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-2*i + 1 + 6*i - 5*i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16340\/18)\/(-140 + 1). Let u = n + 12\/139. Find the common denominator of ((-2)\/22)\/((-2)\/(-102)) and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/15 - 8*u**3\/5 - 1818*u**2\/5 - 5428*u\/15 = 0. What is u?\nAnswer: -46, -1, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 669 = -p, -4*o - 3*p = -0*p - 520. Suppose 1 = -4*a + 3*l, -2*a - 5*l + 11 + 8 = 0. Is (o - a)*(4 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(1\/3))\/u)**(-26)*(u**1\/u)**(-48))\/((u**(-1\/3))**(-1\/41)\/(u**(2\/7))**(-2\/147)) assuming u is positive.\nAnswer: u**(365131\/42189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.166 and 0.1.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6257489.8 less than -0.397?\nAnswer: -6257490.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -202, 61, 452, 971?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1242, 1233, 1220, 1203, 1182, 1157?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -353*n**3 - 22*n**3 - 114*n**3 - 2 - n + 0*n to the form b*n**3 + t*n + z + q*n**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 0*t - 6*t - 29*t to the form c*t + f and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 216 = 5*t - 3*b, 0 = -5*t + 5*b - 540. Suppose -4*k = -7*k + 501. Let n = k + t. Is n a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2028 + -772. Let j = 2591 + u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**5*g**3 - 258*c**5 - 18*c*g**2 + 163*c*g + 4*c - g**3 + 2*g wrt c?\nAnswer: 180*c**3*g**3 - 5160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - 4*y. Let i(z) be the second derivative of -z**4\/3 + 5*z**3\/6 - z. Let h(c) = -2*c**2 - 34*c - 140. Let l be h(-8). What is l*i(d) + 5*n(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*d + 2*c, -2*c - 13 = d - 4. Let w = -27 + 49. Let l be d\/12 + w\/(-8). Which is greater: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12110 + -1203330130?\nAnswer: -1210002300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33aa - 30842?\nAnswer: -2a465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10336577 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1105 + 711 = -37*x + 373 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/16*(660\/45)\/(-22)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/10 (b) 4 (c) -3047 (d) 2\/7 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*d - 134*d + 36 - 43)*(-2*d + 7*d - 3*d) - 28 + 2*d + 28 + d**2.\nAnswer: 9*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 8*d + d**2 + 3 - 2*d**2 - d**2. Let b be y(8). Suppose 0 = x - b - 2. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5 + 180754*c**3 + 11710*c?\nAnswer: 40*c**3 + 1084524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -45*c - 2*c - 9*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/89279 - 991039\/266944210. Is 0 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*w**3 - 4727470*w**2 - 52810438.\nAnswer: 180*w**2 - 9454940*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.66773 and -21?\nAnswer: 14.02233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185102*c*o*y + 2*c*o + 69*c + 57*o wrt y.\nAnswer: -185102*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 38. Let m be 4 - 6 - o\/20. Solve -m*x**2 + 1\/4 + 0*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8861 = -1375*m + 219*m - 7323 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 273226.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 997862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.717 - -28.6. Let z = -0.0767 - x. Let n = z + -0.04. What is n rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.3, 2, 3\/13 in increasing order.\nAnswer: 3\/13, 2, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 329, 665, 1003, 1343, 1685, 2029, 2375?\n\"Answer: a**2 + 333*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5582 + 10910. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -69, -56.8 in increasing order.\nAnswer: -69, -56.8, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 3*v - 2803 + 2824 = -5*b, 0 = 4*b - 5*v - 49 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.024 and -0.351961.\nAnswer: -0.008447064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*g**2 + 9*g**3 - 18*g**2)*(5 - 4*g - 2*g + 4*g).\nAnswer: -18*g**4 + 45*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1898944870 + 339723930 = 512*s. What is s rounded to the nearest ten thousand?\nAnswer: 4370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*v - 0*x + 5, 5*v + 3*x = 40. Suppose v*t - 1108 + 158 = 0. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*j - 5*i - 302, -274 = 2*j - 5*i. Let p = 159 + j. Solve 2*o + p = -4*m, -6*o + 2*o = -m - 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Suppose -3 = -0*n - n. Let k(s) = -3*s - s**2 + n*s + 0*s. Calculate l(k(g)).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*z + 85 = 0, 2*c - 34 = 6*z - z. Solve 3*i = y + 10 + 1, 0 = -4*i - y + c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/2)\/(9\/(-60)*-5). Put 7, 1, -4, g in ascending order.\nAnswer: -4, 1, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*s - 60 = 0, -2*p + p = -4*s. Suppose -3*q = q - 64. Solve -4*j = 5*h - q, -p = -3*h - 3*j - j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 4*j + 3. Let f be g(-4). Let z = 0.0997 - 4.1297. Let r = z - -0.03. What is the smallest value in -5, r, 0.1, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -134\nAnswer: 93.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v - 48*v = 75. Let a be -38*(2 + v\/6). Solve 4*q = c - 0*c - a, 0 = -4*c - 5*q - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((63\/150)\/(-7)). Suppose 0 = -r - r + z. Suppose -5*i + 3*h = -r, 0*i + 5*i + 4*h - 25 = 0. Solve 6*v - 3 = i*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.26882 rounded to zero decimal places?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*c, 3*c - 34 + 33 = -4*f. Solve -4*q - 21 = d, -f*d = -3*q - 0*d + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/20109 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 30, -0.5, -0.09, -1, 4.\nAnswer: -27, -1, -0.5, -0.09, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18890499 + 13199637. Let x = 5690600.0163 + n. Let d = 262 + x. What is d rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 98 = 5*v. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 40, 120, 264, 490, 816, 1260?\n\"Answer: 3*u**3 + 5*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4 + 0)*0. Let m = 2 - k. Let v(o) = -o**3 + o**2. Determine v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1741930946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 3*n**2 + 18*n - 13 - 22*n + 2*n**2. Let d be y(6). Sort -8, d, 0 in increasing order.\nAnswer: -8, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8648000 rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from jffbffegebefjeee.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/4200)\/(1\/(-2))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*5*5*165\/(-165)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - 6*n + 5. Let q be d(0). Suppose 4*m + 601200 = -q*m. What is m rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*x = -493*x + 18510 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Calculate the common denominator of (m\/8)\/((-4)\/(-158)) and (-1)\/4 - 675\/84.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h - 15. Let j(d) = -2*d - 9. Let z(l) = 5*j(l) - 3*t(l). Calculate z(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3860388 divided by 61276\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3207710397 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 11. Let d be c(-5). Let h(g) = 7*g**2 + 6*g + 6. Let t(w) be the first derivative of -13\/3*w**3 + 248 - 11\/2*w**2 - 11*w. Give d*t(m) - 11*h(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 12. Calculate f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/20 - 3*a**4\/4 + 5*a**3\/3 + a**2 + a. Let k be c(-10). Solve -k*v - 1 = -3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/288*-8)\/(-2*(-3)\/(-15)). Let k = -3.98 + -0.02. Let j = -2.1 + 2. What is the closest to j in u, k, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 3*z + 6. Let n(w) = -4*w**2 - 6*w + 9. Let x(p) = 5*p**2 + 7*p - 11. Let o(i) = -6*n(i) - 5*x(i). Calculate 5*o(j) - r(j).\nAnswer: -j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -478450 to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 489377.4kg in tonnes?\nAnswer: 489.3774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 818453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.131 * 0.04\nAnswer: -0.00524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 2*n - 155 - 147 - 8*n.\nAnswer: -7*n - 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 9*p = 4*f - 12, -4*f = -p - 12. Sort -3, 0, 144, f.\nAnswer: -3, 0, f, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 13*j - 21. Calculate c(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75685 is divided by 255.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2 + 34. Let v be 3955\/21 - -5 - 7\/((-84)\/(-16)). What is the greatest common factor of l and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:37 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85570 in -5, 8\/15, -1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3128.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5701137 to the power of 1\/2, to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.21 + 5.71. Which is the smallest value? (a) 0 (b) 4 (c) -0.04 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 + b. Let i(s) = 8*s**3 + s**2 - s. Suppose -8*p - 23 = -7. What is p*t(a) - 2*i(a)?\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3624589 or 102\/11?\nAnswer: 102\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/130057884 and 89\/86705256?\nAnswer: 260115768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 9. Let g(j) = -j**3 + 17*j**2 + 16*j - 248. Calculate the remainder when g(17) is divided by k(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.32 (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134) + -3*sqrt(1134)*-5 - sqrt(1134))\/(1*-5*sqrt(288)) + 0.\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -701*m**3 + 2129 with respect to m.\nAnswer: -2103*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/36*1\/(1\/(-4)). Let r be -5 + (-470)\/(-35) - 4\/u. Suppose -7*t - 5*x = -2*t - 60, 0 = 2*t - 3*x - r. Solve 5*a + 6 + t = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 0) + (-90 - -129) + 5 + (2 - 6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513) - sqrt(513)*-1) + sqrt(513)\/(2*sqrt(9)))*4)\/((sqrt(18)\/(sqrt(6) + sqrt(12)\/sqrt(2)) - (1*sqrt(192) + sqrt(3)))*-6).\nAnswer: 26*sqrt(19)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m*(m\/(m*((m\/(m\/m**(4\/5)))\/m)\/m))\/m))\/m*m))\/m*m**(3\/8)*(m\/m**(-5\/4))**(-25) assuming m is positive.\nAnswer: m**(-2227\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2*x - 3. Let n(g) = 15*g**2 - 11*g - 16. Give 6*n(z) - 33*u(z).\nAnswer: -9*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/44 - 8\/44. Let k(l) = 4*l**3 - 1. Let p be k(-1). Put g, 0, p in decreasing order.\nAnswer: g, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 9*j**2 - 12*j - 11. Calculate t(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = h. Put -2, h, 2 in ascending order.\nAnswer: -2, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 19. What is the remainder when 209 is divided by i(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/11 and -69\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731752 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1074, 4, 14 in increasing order.\nAnswer: -1074, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3764 + -3764.4. Let x = 3 - 2.6. Let l = 0 + x. Which is the closest to -0.2? (a) l (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2770)\/(-975) - 4\/10. Let y = -30\/13 + x. Factor 4\/15*a**3 + 2\/5*a**4 + y*a**5 - 4\/15*a**2 - 2\/15 - 2\/5*a.\nAnswer: 2*(a - 1)*(a + 1)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4 - 14893*h**3 + 75807*h**2?\nAnswer: 24*h - 89358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*(-155 - -29). Suppose -p - 17 = -f + 4*n, f - 2*n - 57 = 0. Calculate the remainder when f is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/2 + 16*k**3\/3 - 17*k**2 + 20*k + 56. Find c, given that b(c) = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 32089757?\nAnswer: 32089757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13153822, 13153811, 13153800, 13153789, 13153778?\n\"Answer: -11*m + 13153833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/18 - 4\/18. Let x be 12\/(-84) - 4\/14. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 2:44 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22332 is divided by 519?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 875.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 + c**2)*(-c**3 - 17*c**3 + 0*c**3 + (-3*c + 2*c + 2*c)*(2*c**2 - 1 + 1)).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 58, 114, 180, 250, 318, 378, 424?\n\"Answer: -c**3 + 14*c**2 + 5*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 29. Put 4, -5, b in ascending order.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 4. Let m be o(-2). Suppose -m*c = -0*c - 8. Suppose -c*h - 22 = -374. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 38. What is the nearest to 0.1 in 0.5, -0.4, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(-42)*-3)\/(1\/6). Let o be 52\/(-14) + 4\/(-14). Put n, 2, o in decreasing order.\nAnswer: n, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*o - 91 = 25*o - 931 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 - (-2 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2, -26, -397?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 12*z - 96. Let g be y(-14). Suppose 9*l - g = -7*l. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*q - 6126 - 9017 - 1531 = -312 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*a\/a**(-2)*a)\/(a**(3\/4)*a**4)*(a\/(a\/(a\/((a*a\/(a*a**(-7)))\/a)))*a**4)**45 assuming a is positive.\nAnswer: a**(-339\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 7*u - 31. Let d be b(-8). Suppose -q - 90 - 13 = 0. Let j = q + d. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.5 (b) 2\/7 (c) 2\/3 (d) 4721\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 0*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*n**4 + 400*n**3 - 168*n**2 - 46800326*n.\nAnswer: -168*n**2 + 2400*n - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**7\/210 + m**6\/24 - 3*m**5\/10 - 5*m**4\/6 + 28*m**3\/3 + 2*m**2 + 6*m. Factor o(v).\nAnswer: (v - 2)**2*(v + 2)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/7 or 346?\nAnswer: 346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2100 - 335?\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24098 divided by -9.\nAnswer: 24098\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1*(-5)\/15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(162))\/((sqrt(72)*2)\/sqrt(12)).\nAnswer: -3*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12722 + -221725.9.\nAnswer: -234447.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 + 1334365*c**4 - 89025829875*c**3 - 89187291585*c**2 + 10683884266560*c - 41664713147460 = 0 for c.\nAnswer: -13, 6, 133437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47213 = -8087*s - 22890 - 26941 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/15)\/((-3189)\/57402).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67\/4 + 17. Let h = -9.52 - -9.12. What is the closest to 1 in h, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4538*n**4 + 57730*n + 282383312.\nAnswer: 18152*n**3 + 57730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22238159 to the power of 1\/2, to the nearest integer?\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-22) + 5027823\/52965. Solve -284\/5*x**3 - 16 - 696\/5*x**2 - m*x + 16\/5*x**4 = 0.\nAnswer: -1, -1\/4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((4*2*sqrt(2299) - sqrt(2299))*-4 - (-5 + 3*(sqrt(2299) + 1 + sqrt(2299))))*1)**2.\nAnswer: -8976*sqrt(19) + 15945888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2 (c) 2\/3 (d) 0.34 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543256.\nAnswer: 2, 7, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1622*j + 123304. Give t(76).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.5344147 months?\nAnswer: 0.211201225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + k - 1 = -7, 2*k - 6 = -3*z. Suppose -6*u + 396 = -z*u. What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 15. Let i be c(9). What is the closest to 2\/5 in -5, 3\/5, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c1f (base 16) to base 15.\nAnswer: dbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1613389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*h + 715*h = 297*h + 364 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.052535 + 34.764465. What is l rounded to 0 dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1296 - -1299. Find w such that -2 + 2\/3*w**4 + 10\/3*w - 4*w**p + 2\/3*w**5 + 4\/3*w**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3257.8 - -2890. Let x = p + 318. Let m = x - -58. Round m to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k**2 + 22*k - 55. What is v(4)?\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000209391838 to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 8*b - 7. Suppose -10 = -2*d + d. Let p be r(d). Suppose p*h - 10*h - 30 = 0. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 161. Let r = -259\/15 + 53\/3. What is the third biggest value in r, 2, o, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -2\/7, -4\/53, -0.1?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*h**4*x + h**4 + h**3*x**3 - 32*h**2*x**3 + h**2*x - 2*x**3 wrt h?\nAnswer: 768*h*x + 24*h + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2438 + 12*i - 4855 + 2686. What is r(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*i**2 - 17 + 17)*((-3*i + 4*i - 2*i)*(1 + i - 1) - 2*i**2 - i**2 - 5*i**2).\nAnswer: 351*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34\/23 - 56\/69. Suppose -3*n = -2 - 7. Factor o*i**n + 16\/3 - 4\/3*i**2 - 8\/3*i.\nAnswer: 2*(i - 2)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k - 15. Let t(q) = k*q**2 + 10*q**2 + 1 - 2. Calculate the smallest common multiple of 8 and t(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42404 (base 5) to base 15\nAnswer: -ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -54185363 to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34.5265 and 5.\nAnswer: -29.5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228 - -228.117. What is d rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 220*b**2 + 43 + 17.\nAnswer: 220*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6 - 0. Let m(d) = 4*d**2 + 4*d + 3. Let n be m(l). Let y = n - 18. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111472, 222952, 334432?\nAnswer: 445912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 52.\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 115, 446, 975, 1684, 2555?\n\"Answer: -3*j**3 + 117*j**2 + j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, -4\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3\/2 + 29970*v**2 + 12506775*v\/2 + 323415365.\nAnswer: -5*(v - 12194)*(v + 103)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042497 rounded to six dps?\nAnswer: -0.000425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 2938*l**2 - 4.\nAnswer: -2938*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1451, -1462, -1473?\n\"Answer: -11*r - 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*f**2*o**3 - 4*f**2*o - 468*f**2 wrt o?\nAnswer: -156*f**2*o**2 - 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24 - 4)\/10 + (-10)\/6. Which is the biggest value? (a) 4 (b) g (c) -0.443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 6*v - 18. Let i(m) = m + 1. Let b(t) = 3*i(t) + z(t). Let o be b(4). Let r(p) = p**3 - 6*p**2 + 7*p - 2. Calculate r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8382245*a**2*l**2 - 630*a**2 - 4*a*l + 1945 wrt l?\nAnswer: -16764490*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/4 + z**3\/3 - z - 1. Let h be o(2). Let r(f) = -f**3 - 4*f**2 + 3*f - 2. Determine r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*z - 38*z + 609 = 40*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (159 - 161)\/((-29)\/1).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45641 or 45649?\nAnswer: 45641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -621*y = -634*y + 3799939. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3515, -3526, -3567, -3656, -3811, -4050?\nAnswer: -4391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 13) to base 6.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 + 63*c**3\/2 + 5620*c**2\/3 + 28704*c - 366336.\nAnswer: (c - 8)*(c + 53)*(c + 72)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -25. Let c = -1 - a. Let x = -9 - c. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -14*z - 226. What is the remainder when a(-28) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (236 - 470 + 233 - 33*y)*(-2 - 3*y + 2) + (-y**2 + 3*y**2 - 4*y**2)*(2 + 0 + 3).\nAnswer: 89*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37.820003371 + -37.82. Round m to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 89064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Suppose -2*m + 72 = n*m. Let i = 18 + -6. Calculate the smallest common multiple of m and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1 - -5)) + -1 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l - 2. Let o be r(1). Let z be o + -1 - (-6)\/63*6. Which is the biggest value? (a) 3 (b) z (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3078655, 3078656, 3078657, 3078658, 3078659?\n\"Answer: p + 3078654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 0.05 (c) 0 (d) 1\/43 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*s - 2517 = -37017 for s.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*f + 16*f + 12*f)*(5*f**2 + 10*f**2 - 10*f**2).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*z + 985, 4*v + 2*z - 633 = 161. Suppose -t = -4*t + v. Calculate the highest common factor of t and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 3*z**5\/20 - 7*z**4\/24 + 5*z**3\/6 - z**2 + 50*z. Calculate the remainder when 120 is divided by i(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(3) - (2 + sqrt(3))*6).\nAnswer: -120 - 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -169\/3. Suppose -6*b = 22*b - 56. Factor 0 + 0*m - u*m**b.\nAnswer: -2*m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 7. Let x(u) = u**3 + 4*u**2 - u. Let c be x(-4). Let l be q(c). Let p(y) = -y**2 + y. Calculate p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (-1)\/((-2)\/(-6)). Let z be (-2)\/(-10) + d\/75. What is the smallest value in 4\/3, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (471\/(-63) + 7)\/((-4384)\/(-230160)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62608859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 3:36 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9068 + -895. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.243827554?\nAnswer: 0.0731482662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00120703077 rounded to 6 dps?\nAnswer: 0.001207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1\/10 (b) -26.7 (c) -21\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 + 74. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.4 (b) 19 (c) -1\/5 (d) -23 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1907 and 3.\nAnswer: 5721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799225141 to the power of 1\/2, to the nearest integer?\nAnswer: 42417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4776\/31 + 154. Is p != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -4 (c) -1 (d) -14 (e) -84\/1555 (f) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a**2 - 2*a - 8. Let p(y) = -17 + 0*y - 3216*y**2 - 4*y + 3233*y**2 + 2*y - 2*y. What is 9*l(f) - 4*p(f)?\nAnswer: 4*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52\/3 (b) 3\/34 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 31. Let m = -8 - u. Let r = -1 - 3. Which is the nearest to 0.1? (a) -3 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*a**6 - 124616*a**5 - 57579082*a**2 wrt a?\nAnswer: 23280*a**3 - 7476960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-1 - 5) + 2 - -1)*-87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.3 (b) -1 (c) 1034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 0, 2\/13, -22567?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -334*l - 3334. Let k be i(-10). Let q(d) = d**2 + 3*d**2 - 8 - 3*d + 3*d**2 - d**3. What is q(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193730.6 micrometers to millimeters.\nAnswer: 193.7306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3898.\nAnswer: 2, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 2*f - 3*f - 2*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (696\/(-145))\/((-2)\/10). Suppose w*c - 22*c = 0. Solve -2*r + x = c, -2*r + r = -5*x + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 16 = 4, 0 = -4*n - 4*b - 20. Solve 3*v - 2 + 5 = n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/6 + 48\/(-36). Suppose 3 = -y*s - 30. Let l be (-1 + 5\/6)*4. Which is the nearest to -0.2? (a) 1\/6 (b) s (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.178945 - -0.167. Round y to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 30. Let l = -5 - -18. Calculate the remainder when b is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:14 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*z - 8*z - 125 = -59 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -41846\/27 at most -1549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 227*b + 2. Let c = 177 - 175. Is 12 a factor of f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**2 - 1. Let h(m) = -4*m**2. Let y(c) = 5*a(c) - 6*h(c). What is the first derivative of y(t) wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + sqrt(264)*2)\/sqrt(11))\/(-2*(1*sqrt(8) + sqrt(8))) - (1 + 2 + sqrt(24)\/sqrt(8))*-6.\nAnswer: 21*sqrt(3)\/4 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4262 - -3?\nAnswer: -4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)*12\/(-3). Let u = 0 - n. What is the remainder when 2 is divided by (u\/(-3))\/((-4)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44561809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 684*z - 39860. Calculate x(58).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -102*c + 1. Let g be r(-1). Let x = 725\/7 - g. Let s = -16 - -17. Sort s, x, 4.\nAnswer: x, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217\/2079978 or 1?\nAnswer: -217\/2079978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 5 - (-11 + -1 + 7 - 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*o**4 - 33*o**4 - 41*o**4)*(5 - 5 - o) - 3*o + 3*o - 4*o**5.\nAnswer: -29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-846)\/360 + 6\/10)*-172. Suppose -3*q = f - 107, 0 = 5*q - 4*f + 100 - v. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -432\/11 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34960*a**2 - 19854 wrt a?\nAnswer: 69920*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 835, -1, 106, 12.\nAnswer: -1, 12, 106, 835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*-2*(-36)\/12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2819 - -2819. Let w(b) be the third derivative of 0 + 1\/480*b**5 + 1\/560*b**7 + 0*b**4 + 0*b + 13*b**2 + c*b**3 + 1\/240*b**6. What is a in w(a) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:32 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2486.9136us to minutes.\nAnswer: 0.00004144856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7964\/(-13937)*(9\/8)\/3.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 44. Let f = i + 54. Suppose -f - 25 = -4*c. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*x + 3*l - 15 = 710*x, 27*l = 5*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/545016 and -61\/454180.\nAnswer: 2725080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 12*r - 25 = -2*r, -5*r = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or 10829?\nAnswer: 10829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from eeeeoeo.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211065382 - -211065382.088200647. Let a = l - 0.0882. Round a to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 69732?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 235804 divided by -73?\nAnswer: -235804\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**3 + 2*d**2 - 7*d. Let o(t) = 4*t**3 - 3*t**2 + 8*t. What is 6*b(a) + 5*o(a)?\nAnswer: -4*a**3 - 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/3 + 4*i**3 + 10*i**2 - 13*i. Factor q(k).\nAnswer: 4*(k + 1)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*-1*6*sqrt(5)*-3)**2.\nAnswer: 81000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 19 - 3. Let f(o) = o**2 - 15*o - 13. Let u be (-5)\/(20\/(-72)) - 2. Let y be f(u). Is y at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:19 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 3*k**5 + k**5 + (-2*k**5 + 3*k**5 + 0*k**5)*(5 - 2 - 1) + 117*k**5 + 2 - 66*k**5 + 3*k - 58*k**5 + 2*k**4.\nAnswer: -2*k**5 + 2*k**4 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2*j - 3. Calculate v(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*x**2 + x**3 + x - 44*x**2 to b + t*x**3 + v*x + a*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 9124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-19)*(p*p**5\/p)\/((p\/p**5)\/p) assuming p is positive.\nAnswer: p**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -20. Suppose 0 = -4*x + 2*d + 584, a = -5*x - 4*d - d + 715. What is the highest common divisor of x and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*l - 2917*l = 275028 for l.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11228459, 22456882, 33685305?\n\"Answer: 11228423*g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3 - 6 - 620*b**2 + 623*b**2 - 5*b**3. Suppose 0 = -r + 3*a + 7, -2*r - 1 = -0*r - a. Let y(t) = -t**2 + 1. Determine r*s(g) - 6*y(g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + -4. Let i = -4.08 + 4. Let w = i + -3.92. Which is the closest to 0.1? (a) u (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -278, -1\/179, -0.5?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27286653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4 - 3 + 3*x + 4 - 3 - x**2. Let j be f(5). Let o = 12 + j. Solve -h - 2*h = g + 1, -o*h + 3*g - 23 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-10 - 1 - 0). Suppose 3*q = 5*t - 3, 3*q + t + 13 = 7*q. Solve w = q*p - 15, -w + 0 = -3*p + x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r + 2*r + r + (-1 + 3 - 3)*(0*r - 2*r + r) - 4*r + 3*r + 3*r - 140*r - 8041 + 8041.\nAnswer: -139*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/((-80)\/(-340202)) + (-12)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4922 * -0.04307\nAnswer: 211.99054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11163 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31394?\nAnswer: 2, 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + j + 2. Let o be h(-5). Let x = o + -94. Let t = x - -77. What is the greatest common factor of 45 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -864*p + 862*p, 3*m = 2*m + p - 19 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 128 = 2*r, -4*r + 83 + 233 = 5*l. Let p = r - 44. Solve -5*t - 5*y = p, -3*t + y = 6*y + 26 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 28. Find the second derivative of d*s**3 + 4*s + 8*s + 114 - 114 wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 107*g - 965. Let s be v(97). Solve -s*u = -q - 7 + 18, -5*u + 5 = -5*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 12960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15882 divided by -3\nAnswer: -5294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1527765\/27652 + -2\/6913. Let w = f + 55. Which is smaller: 1\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 13 = 28. Let w = -0.1 - 0.9. Let t = -1 - w. Sort b, t, 3 in increasing order.\nAnswer: t, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195629 at least 195630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-123)\/39 + 20\/130. Let a(g) = g**2 + 9*g - 9. Let y be a(-10). What is the tens digit of (-3)\/p - (0\/y + -43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -16*j + 13*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -499*o**3 - 250*o**2 wrt o.\nAnswer: -2994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 29\/5 (c) 6\/11 (d) 4 (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*k = 3028*k + 4354*k + 76440 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132) + ((sqrt(132) + sqrt(132)*1 - sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132)))*-6)\/(3*sqrt(60)\/sqrt(5)) + -4.\nAnswer: -5*sqrt(11)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 252*b - 251*b, -4*m = 3*b + 10 + 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82652 divided by 77.\nAnswer: 82652\/77","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 + 20*m - 10. Let u be t(-9). Suppose -p + 2*i + 419 - u = 0, -4*p + 5*i + 1455 = 0. What is the highest common divisor of 36 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (-28 + 9))\/(-1) - -8. Let k be (-6)\/(-2)*2\/(-3). Which is the fourth biggest value? (a) k (b) 2\/9 (c) u (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, i: 5}. What is prob of sequence niii?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, f: 2, l: 3}. Give prob of sequence lllq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(3 - 8\/3). Suppose -2*i + 56 = 2*u + 22, 0 = j*i + 5*u - 49. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z + 4. What is the third smallest value in 10, -2, z, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/82622035?\nAnswer: 12\/82622035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-65)\/78*6 - (-10 - -1). Let n be (-8)\/(-8) - ((-27)\/19 + c). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h + 620 = 64*h. Let y = h + 25. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(10*8\/40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t - 1. Suppose t*g - 9*g = -32. Suppose 0 = -4*i + g*i - 16. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(272) + 5 + -2 + 4 + 3.\nAnswer: 15 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 2*j + 0*j**3 - 1\/10*j**5 + j**2 + 0 + 0*j**4. What is the derivative of c(q) wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*i**3*y**2 + 2*i**3 + 581*i**2 + 28*i*y**2 - i*y wrt y.\nAnswer: -16*i**3*y + 56*i*y - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48231?\nAnswer: 3, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**4\/12 - 2*h**2. Let t(s) = -s. Calculate a(t(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861*q + 862071 - 1724125 + 862063.\nAnswer: 861*q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*c - 176*c + 14 = 2*r, -19 = 2*c - 3*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.1 - 39.7. What is t rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -0.21. Let g be 5\/3 + -2 - -1. Is g equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*f + 42432 = 1019*f for f.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 11 = s, -4*q - 20 = q. Let h = -1 - s. What is the greatest common divisor of h and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.126 equal to -7\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11844075.\nAnswer: 3, 5, 79, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 3*j + 6. Let d(r) = 0*r + 6 + 0*r - 1 - j*r. Let n be d(4). Is n less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - 13*l + 209. Let h(s) = -7*s**2 - 24*s + 419. Let j(p) = -5*a(p) + 3*h(p). Let u be j(-17). Which is smaller: u or 43?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + 20\/(-3). Let d be (4*9\/s)\/1. Let c(q) = -4*q - 9. Let l be c(d). Solve 5*n = 5 + l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**2. Let s(g) be the third derivative of 0 + 0*g + 1\/6*g**4 + 23*g**2 + 0*g**3. What is s(m(h))?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*x - 49841458 = 0, -6880390 - 23024475 = 3*z - 5*x. Round z to the nearest 100000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-140) + (-2)\/7 - (-11572)\/1315.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3\/5 + 28076*r**2\/5 - 1282844*r\/5 - 1310924\/5 = 0. Calculate r.\nAnswer: -1, 47, 6973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215 + -341. Let p = m - -126.9. Which is the second smallest value? (a) -2\/17 (b) 0.5 (c) -2\/3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.926 + 37. What is g rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/11, 5\/4, -1203?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731 minus -91.711?\nAnswer: -1639.289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -2323110130?\nAnswer: -2323110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112100 + -2?\nAnswer: -112102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyfykgyo. Give prob of picking 1 y, 1 f, and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by -92?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 15*j + 10. Let t be c(14). Let h be 1 + 63 + 0*t\/12. What is the highest common divisor of 16 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1276 - 1486 - 35)*(-5*f + 2*f**4 + 5*f) to the form l*f**3 + t*f**2 + a*f + b + i*f**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r*s**3*t**3 - 2*r*s**3*t**2 - 8*r*s*t**3 - 2*s**3*t**2 - 125*s*t**2 wrt t?\nAnswer: -24*r*s**3 - 48*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/15 and 2\/699.\nAnswer: 3495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5406.31851 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -224. Let h be 14 + (18\/s - (-2)\/10). Calculate the highest common factor of h and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12402898.867 to the nearest 100.\nAnswer: 12402900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = p - 31, -5*p + f - 4*f = -103. Calculate the remainder when 44 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + p = -7, 2*w + 2*p = 16 + 2. Let y be (2\/(-20))\/((-2)\/w). Suppose 0*k = -3*k, 0 = -3*i + 2*k. Which is bigger: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y**(2\/11))\/((y*y**(2\/9))\/(y\/(y*y**1))))\/(y*y\/(y**(1\/4)\/y)*y**2)**(1\/8) assuming y is positive.\nAnswer: y**(10663\/3168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) -4 (c) -4\/5 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(2\/9)*b*b**(1\/17)*b*b**6*b**(-2\/29) assuming b is positive.\nAnswer: b**(40874\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 13*u**5\/60 - u**4\/8 - u**2. Let x be k(-2). Suppose 5 = -n, -4*n - x + 2 = -3*l. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/109 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*n - 22*n**3 + 485*n - 392*n.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**7\/7 + z**5\/5 - 35*z**2. Find the third derivative of o(j) wrt j.\nAnswer: 720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 122467818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - -4 - -3 - 69 - (-17 - -14)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15102 less than 0.309?\nAnswer: -15101.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012507139 to 5 decimal places.\nAnswer: 0.01251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -8738314?\nAnswer: 7\/8738314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2703 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 17. Does 6 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528770303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -643640 or -643639?\nAnswer: -643639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2460*y**2 - 667232*y + 21696.\nAnswer: 4*(5*y - 1356)*(123*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -249.89 and -0.2?\nAnswer: 249.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 670 in ascending order.\nAnswer: -2, 3, 670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k**2 + k + 6. Suppose -3*u + 9 = -6. Let o be c(u). Let h = -634\/5 - o. Find the common denominator of -47\/8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-12 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33790292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:15 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*m = -576, -140 = -q - 2*m + 144. Let r = q - 109. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-147)\/28)*-3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + -69 + -4) - (12 + -26 - -10).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2309, 2275, 2229, 2165, 2077, 1959, 1805, 1609?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -23. Let a = -14 - s. Let g(v) = v**3 + 11*v**2 + 13*v + 11. Let z be g(-9). What is the greatest common factor of a and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 16*o + 101. Let f be x(-6). Suppose 0 = -l + 4*v + 163, v = -4*v + f. Calculate the remainder when l is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 81, -5 in ascending order.\nAnswer: -5, 23, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Suppose -f - 6 = -0*f. Let a be (f\/(-28))\/((-2)\/4). What is the third smallest value in a, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1826, 12134, 29330, 53426, 84434, 122366, 167234, 219050?\nAnswer: 277826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -20682*f + 82779. What is k(4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-28) + 6\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(44) + sqrt(44) - (sqrt(891) + 0))**2.\nAnswer: -1380 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.086 + -0.676. Sort m, 0, 0.2 in ascending order.\nAnswer: m, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p = -19*p - 4*x, p - 16 = -3*x. Let i(f) = f**3 - f**2 - 5*f + 2. Let u be i(3). Let q be (u\/20)\/((-1)\/(-8)). Put p, -2, q in descending order.\nAnswer: p, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**3 + 3*h**2 - 2*h - 7. Let y(m) = 2*m**3 - 2*m**2 - 1. Determine -v(s) + 5*y(s).\nAnswer: -3*s**3 - 13*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -107, 2, 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + 2*j**2)*(-2 + 0 + 0)*(-12 + 45*j + 8 + 2) + 0 + j**3 + 0 to d + l*j + q*j**2 + g*j**3 and give g.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 2. Let b be (-2)\/4 + 1\/2. Let i be m(b). Suppose -s - 2*c = -14 + 1, -i*s + 3*c + 19 = 0. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-8 - 4)\/(3\/(-9)) and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k**(1\/3)\/k)\/k*k*k*k)*(k\/(k\/(k*k**2)))\/k*(k\/(k\/k**(5\/4)))\/k**(-4\/5)*((k**0)**(-1))**(3\/26) assuming k is positive.\nAnswer: k**(223\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6516, 5264, 4012?\nAnswer: 2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttthhooh. Give prob of picking 3 h.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/20)\/(885\/120 + -7)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-10)\/(-36)) - 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(6\/(-864)). Let h(z) = 4*z - 46. Let l be h(13). What is the greatest common factor of b and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.29 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 13265*w - 106074. Give j(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 275000 = 4*s. What is s rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-21) - -1 - (-10)\/2) + (-2496)\/(-1344)?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197625698?\nAnswer: 2, 1598812849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/4)\/1*8604\/(-717).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) + (-442)\/(-3). Suppose 194 - 1247 = -13*b. Let d = o - b. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5 - 1 + 0 + n. Let x be m(9). Suppose -x*r + 2*r**5 + 2*r**3 + 3*r + 4*r**4 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + 36*m**2 + 2 + 0*m + 10*m**2 + 16*m**2.\nAnswer: 62*m**2 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*u + 323*u - 159*u + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 (base 13) in base 9?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*m + 12 = 2, 3*k - 5 = 2*m. Let r be 10\/(-5)*k\/2. What is the units digit of (-158)\/(-10) - 1\/r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213583\/239766 - -310\/449. Find the common denominator of -99\/1780 and x.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 261b0 - 27be?\nAnswer: 238e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 3)*60\/(-12). Put i, -64, 4 in ascending order.\nAnswer: -64, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h = -37*h + 23*h - 18. Which is the nearest to h? (a) 0.4 (b) -1\/9 (c) -6 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -57\/203 - -4\/29. Let m = -100 - -115. Suppose 5*u + m = -0*q - 5*q, -2*u - 3*q = 9. Is c at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -696*t + 1056. Let j(f) = -30*f - 1. Let r(w) = -48*j(w) - q(w). Differentiate r(y) with respect to y.\nAnswer: 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 95 + (18 - 1).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17312983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 49*u - 52*u + 110*u + 2*u**2 + 2. Let d be y(-9). Suppose -2*o = -3*o - d*j + 3, 4*o + 2*j = 24. Solve -4*h + 1 + o = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 + 1. Let t(j) = -2*j**3 - 11*j**2 - 2*j + 24. Let d(h) = 3*c(h) - t(h). What is d(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1018529, 2, 25?\nAnswer: -1018529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692 < 5679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5331?\nAnswer: 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 10*q - 7. Let d be k(4). Suppose 3 - 20 = d*u. Let s be 864\/212 + -3 - 1. Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f = -2*k + 18, f - 19 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/9 - 22*v**4\/3 + 58*v**3\/3 + 202*v**2\/9 - 224*v\/3 + 40 = 0 for v.\nAnswer: -2, 1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*t - 75. Calculate the common denominator of -119\/12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 10)*(6*k + 3*k - 2*k) + 2*k - 2*k + 2*k + 4*k - 5*k + 0*k)*(-k**3 + k**3 - 2*k**3).\nAnswer: 54*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/100 - f**4\/5 + 6*f**3\/5 + 71*f**2\/2 - 3*f + 11. Let k(l) be the first derivative of d(l). Let k(c) = 0. Calculate c.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w - 3. Let a be n(5). Suppose 0 = -5*p + 49 + 81. Let k = p + -11. Solve k = 2*l - a*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368746 is divided by 1138?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 16 = -8*n + 11*n, 3*d = -4*n - 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2*9*-2. Let r = t - 5. Suppose 16 = r*l - 4*g, -3*g = 4*l - g + 8. Solve -5*w + l*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -209. Suppose 7*z = -m*z + 329. What is the remainder when z is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6673.\nAnswer: 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:48 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205*b**2 + 1855*b - 90.\nAnswer: -5*(b - 9)*(41*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133691, 133688, 133685, 133682, 133679?\nAnswer: 133676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53810071 = 163*j - 53797683 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-72) + (-43)\/(-9). Suppose 7 + l = 4*t. What is u in -2\/9*u**t - 2\/9*u**2 + 0*u + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0012 * 0.2.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**5 + 5*i**3\/6 - 15*i - 7. Let r(z) be the first derivative of h(z). What is the second derivative of r(y) wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-7)\/a*a*a)\/a*a*a)\/(a*a*a**(-2\/15)))\/(a*a**(-1\/4)\/a)**(-27) assuming a is positive.\nAnswer: a**(-817\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.12 (b) 0.3 (c) 0 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333136 (base 10) to base 12.\nAnswer: 5435a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z - 15 = 3*s, 2*s = -5*z + 53. Let f = 9 - z. Solve f = -2*w - 4 + 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -79*m**5\/20 + 5*m**4 + m + 1. Find the third derivative of r(q) wrt q.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 - 12 = 0. Let p be ((-1)\/((-20)\/16))\/(a\/15). Suppose 3*v + 3*k - 15 = -p*k, 12 = -3*v + 4*k. Solve v = -d + 7 - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.4, -5, 1\/3 in decreasing order.\nAnswer: 14, 1\/3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63434 and 35?\nAnswer: 317170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 444 - 2*g + 917 - 1892 - 2398 in the form x*g + f and give f.\nAnswer: -2929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2494? (a) 2\/15 (b) -53 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 8*o**5\/5 - 7*o - 8. Let g(r) = 7*r**4 - 7. Let h(t) = -3*g(t) + 2*p(t). Differentiate h(k) with respect to k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -14 - 4) + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*p - 2)*(0 + 4 - 2) + 5*p - p - 2*p + 61 - 8*p - 61)*(2*p**2 + 2*p**2 - p**2).\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/540 (b) -1\/8 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jio when three letters picked without replacement from {g: 3, o: 2, i: 12, j: 3}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18433188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.202 in 0.4, -456, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47693, 47676, 47657, 47636, 47613, 47588, 47561?\n\"Answer: -m**2 - 14*m + 47708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 12582*h**2 - 1797*h + 7. Let z(f) = 6293*f**2 - 896*f + 4. Let r(c) = -4*j(c) + 7*z(c). Find the second derivative of r(s) wrt s.\nAnswer: -12554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = -18. Suppose -b*c = -0*c - 9. Suppose n - 5*s - c = 0, -n + s + 5 = -2*s. Solve -d = -3*d - n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-24)\/9)*-9. Suppose -f*v - 2 = 1. Let m(w) = 11*w**3 - w**2. Determine m(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 3:47 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77820, 77831, 77856, 77901, 77972, 78075?\n\"Answer: g**3 + g**2 + g + 77817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 + 37364*x**3 - 52006*x wrt x.\nAnswer: 40*x**3 + 224184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 0 + 0)*(0 + 3 + 3).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)\/((-1)\/(-3)). Let u = 0 - j. Sort 2\/5, u, 3 in increasing order.\nAnswer: u, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2698 + -3.3298. What is the closest to 8 in -2, y, 1\/2, 2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 40713.3 litres?\nAnswer: 40713300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + 5*o)*((-1 + 1 - o)*(20*o - 26*o - 25*o) + 2*o**2 - o**2 - 2*o**2).\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12909?\nAnswer: 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 2c?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -816 - 24. What is the common denominator of 19\/15 and 1*-1 - (-3164)\/h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13714379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14\/337 + 1390\/1011. Put 66, -4, 1\/11, z in ascending order.\nAnswer: -4, 1\/11, z, 66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 2\/19, 0.1, -0.01.\nAnswer: -30, -0.01, 0.1, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 15 = 2*j. Suppose -5*r = 3*s - 28, r = -j*s + s + 9. Suppose -597 = -r*a - 2*z, -5*z + 476 = 4*a - 3*z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -133, -175, -255, -385?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/4 - (-174048)\/64?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*a - 20*a + 1610 + 13876 = 0 for a.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 15. Suppose -3*i + 12 = g*f, -3*f + 30 = -6*i + 3*i. Suppose r - f = 31. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7872000 to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 13. Let p(l) be the third derivative of 0*l + 43*l**2 + 0 + 2\/3*l**3 + 1\/24*l**4. Calculate -2*k(j) + 7*p(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 4726 - 3644 = 0. Suppose 6*a - 3486 = -h. What are the prime factors of a?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-4) + 73\/2. Let k = -16 - -69. Let f = k - a. Solve 4*n - 4*p = -20, -2*n + f = -3*n + 4*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9*(2 + -11). Suppose v*x - 29 = 5*w, x + 3 = -2*x - 3*w. Are 5\/2 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m - 2*m**2)*(31*m**2 + 56*m**2 - 2*m**2) + m**3 - m**2 - m**3 - 2*m**3 - 2*m**4.\nAnswer: -172*m**4 - 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50475 + 49885 = -t. Suppose -3*z - 12 = -7*z. Suppose -z*x = -403 - t. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5635 (base 7) to base 5\nAnswer: 31120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 16. Suppose 9*i + 3 = j*i. Solve 0 = -i*q + 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650012645 to the power of 1\/3, to the nearest integer?\nAnswer: 1182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 1 - 1)*(-q**2 + 12 - 15 - 17*q**2)*(4*q**2 + 2*q**2 - 4*q**2).\nAnswer: -72*q**5 - 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 114\/168 - (-3)\/(-7). What is the second smallest value in -1\/4, n, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 13*w = 15*w - 205, -7*v = 3*w - 1435. Which is smaller: 6 or v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + 3 - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y - 16*y = 1024958. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 243, -3, -22, 4 in ascending order.\nAnswer: -22, -5, -3, 4, 5, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231464*a**3 + 128*a**2 - 2*a - 9 wrt a.\nAnswer: -1388784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17196, -34370, -51498, -68556, -85520, -102366?\nAnswer: -119070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -829, -836, -855, -892, -953, -1044?\n\"Answer: -x**3 - 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsn when three letters picked without replacement from {w: 6, n: 3, f: 5, s: 3}.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*q + 180 = -71*q. What is the tens digit of 380*q\/125*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -1. Let p = 3.9 - -0.1. Let i = -4.5 + p. Sort z, -0.2, i.\nAnswer: i, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2594, -2583, -2566, -2549, -2538?\n\"Answer: -l**3 + 9*l**2 - 9*l - 2593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 840 = 2*t - 5*g, 5*t - 4*g - 2134 = 0. Let k = t - 448. Which is smaller: 0.5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q + 36. List the prime factors of (q\/4)\/((-2)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e8c + 24?\nAnswer: 1eb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 175969 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 z, and 1 q when four letters picked without replacement from {h: 2, q: 4, z: 1, v: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = -201 + 25, g - 24 = -5*n - 54 - 51 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5811 - 5814. Which is the second smallest value? (a) n (b) 4 (c) 0.5 (d) 1.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -18277401\nAnswer: 1\/6092467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q - 5*q)*(-q**2 - q**2 + q**2) + (q**3 + 0 + 0)*(35 + 39 + 27) - 3*q + q**3 + 3*q + (-3*q**3 - 3*q**3 + 5*q**3)*(-2 + 3 - 7).\nAnswer: 110*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35860 (base 9) to base 11.\nAnswer: -17066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -145. Let q = u - 129\/2. Find the common denominator of q and 57\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50670461.\nAnswer: 31, 1634531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 88 - 102 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 - z + 4. Let y(c) = -114*c**2 - 11*c + 20. Calculate 4*t(x) - y(x).\nAnswer: 98*x**2 + 7*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (41 - (-24 - -37)) + -102?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/156 and 145\/209976.\nAnswer: 209976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 7 + 0 - 5 + (0*a - 2*a - a)*(a + 1 + 6 - 3*a).\nAnswer: 7*a**2 - 21*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 30\/4*720\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -134. Let p = -26 - g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1034?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22494 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u. Let q be j(2). Suppose -25 = 5*w - i - 3, -q = w + 3*i. Let s(n) be the first derivative of n**3\/3 + 2*n**2 - 6*n - 18. Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7476*v**2 + 3593*v**2 + 3880*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = 4*g, 4*h + g + 28 = 3*h. What is the tens digit of (-13)\/104 + (-5019)\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7268644 and 1880.\nAnswer: 72686440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q + 3*a - 13, -2*a - 10 = -2*q. Suppose 4 = -q*b, -6*b = -m - 2*b + 5. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7280934320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140.94 + -141. What is the closest to 0 in l, -4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46589.118 to the nearest one hundred.\nAnswer: -46600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 8\/3, 5\/2, 0.8, 3\/7, -1\/2 in descending order.\nAnswer: 8\/3, 5\/2, 0.8, 3\/7, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4980 and 705.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -5*i**3\/3 - i**2\/2 - i. Let b be m(-2). Let j = -8 + b. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -12. Which is the third smallest value? (a) -1 (b) 22 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*l - 147*l = -287*l + 3*m - 42, -3*l - 2*m = -23 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3702*l - 3696*l - 42 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**3 + 56*x**2 + x + 4. Calculate t(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -18. Sort u, 1, -4 in increasing order.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6) - (-2)\/(-3). Let a(k) = -k**3 - 9*k**2 - 7*k + 9. Let o be a(-8). Let p be 2 + 2 + (-5 - -1). Solve -l + o + p = g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -140425355 to the nearest 100000.\nAnswer: -140400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(3\/(-44)*(-444)\/666)*(-9)\/4?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((9\/1212)\/(678\/28))\/1. Let y = -35163523\/228260 + t. Let b = y - -154. Is 2\/3 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 - 426924882.95\nAnswer: -426924883.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1742 and 724404.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 - 9*i**2 - 10*i + 6*i - 9*i.\nAnswer: -2*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350 and 13125?\nAnswer: 26250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1804 less than or equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:37 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/88 + (-150)\/22. Let r(m) be the first derivative of m**3\/3 + 9*m**2\/2 + 9*m + 1. Determine r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 5*y**2 + 150*y + 155. Determine f(-9).\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u*u**9*u\/(u*u\/u**9*u*u)*u*u**6*u)**(-2\/49) assuming u is positive.\nAnswer: u**(-62\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1371, 7283, 23331, 54585, 106115, 182991?\n\"Answer: 845*r**3 - 2*r**2 + 3*r + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 918, -88906?\nAnswer: -88906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 917200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -356759 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = 10. Is 9 a factor of (-86)\/(-10) + k\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njfnxjnwnw. Give prob of picking 2 w.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-36) - 788\/3465. What is the closest to 0 in b, 1, 3\/5, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let s(q) = -2*q**2 + 8*q - 6. Let b(l) = -1 - l - 1 + 3. Let z = -1 - -7. Determine v*s(a) + z*b(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 93 * 7\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6*w**2 + 17*w + 21. Is 9 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 373*k - 9 = -370*k, -5*i - 3*k + 21 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 - 108. Let a = 3 + 5. What is the greatest common factor of x and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1402*q**2 + 6. Let k(r) = -2804*r**2 - 15. Let d(z) = -5*g(z) - 2*k(z). Let l(w) = w. Give l(d(x)).\nAnswer: -1402*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, 1, 46, 129, 262, 457, 726?\n\"Answer: 2*k**3 + k**2 + 2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -26, -25451, 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.249 - 7.749. What is the closest to -1\/4 in -124, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((6 + -4)\/(-2)). Let t(r) = r**2 - 3*r + 2. What is t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5800 times 10.9843\nAnswer: 63708.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -1, 4, -5 in descending order.\nAnswer: 12, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*b*i**3*l**3 + 35251*b*i**2*l + b*i*l**3 + 4*b*i*l - 18*b*i - 2*b + 84*l**3 wrt i?\nAnswer: 60*b*i*l**3 + 70502*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25956.8073 - -25958. What is w rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6043752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-5) + -3)*(-10)\/(-2). Suppose -18 = -2*h - 4*b + 84, -o*h = -2*b - 169. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5281547458 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(4 + (6*(sqrt(171) + -2*sqrt(171)) + sqrt(171) + sqrt(171) - sqrt(171))\/(-4*(sqrt(45)\/sqrt(5) + sqrt(9))))**2.\nAnswer: -4305\/64 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 6 + 0*z + 0*z**2 + z**3 - z - 6*z + 2*z**2 + z**4 as u + j*z**3 + p*z + m*z**2 + v*z**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:52 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -106. Let s = c + -18. Solve 19 = -3*x - 5*i, x + x - 4*i = s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78356 a multiple of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454 = -23*x - 155 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 51439.0192?\nAnswer: 51438.7192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -25.\nAnswer: -18\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*d*v**5 - 3*d*v**3 - 47*d*v**2 + 9*d - 2*v**3 wrt v.\nAnswer: -3840*d*v**2 - 18*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + 27. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -18. Suppose -2 = r*b - 90. Calculate the smallest common multiple of 12 and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:08 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 74*s**2 + 228*s + 299. Is x(38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*sqrt(5) - sqrt(5) - sqrt(5))*2)**2 + -2.\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 18*y - 15*y - 2*y + 0 in the form r*y + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*y + 999 = 279. Suppose 4*p - 19 = 29. Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:14 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85003082.918 + 2.\nAnswer: -85003080.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -18. Find the first derivative of 39*c**3 + 35*c**3 + 34*c**a - 103 + 3*c**3 wrt c.\nAnswer: 333*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -356305 greater than -354961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/11 - 566784*f\/11 - 40155512832\/11 = 0 for f.\nAnswer: -141696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 749235023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6711839.\nAnswer: 73, 91943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/20)\/(4\/192). Let z be (1\/(-3))\/((-438)\/a - -13). Sort -1, -90, z in decreasing order.\nAnswer: z, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 w when four letters picked without replacement from {e: 1, v: 4, g: 3, w: 6}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 5*w - 10, 0 = -c - 269*w + 270*w - 3 + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 + 28821505*n**2 + 86464522*n + 57643016 = 0.\nAnswer: -2, -1, 28821508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 8*x**4 + 34348*x**3\/3 + 39994*x**2\/3 - 65767*x\/3 + 18590\/3 = 0.\nAnswer: -1430, -13\/6, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43019302?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 e when three letters picked without replacement from ceeuuuczczu?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/10 - 2\/5. Suppose -3 = -j + h. Let 0*v**j - 7*v**3 + 3*v**2 - 5*v**4 + 5*v**5 + 2*v**4 + 2*v = 0. Calculate v.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1123\/5 - 223. Let u(d) = -2*d + 4. Let b be u(0). Suppose -l + 15 = b*l. Is l at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 307 - 75*r**4 + 72*r**4 - 363*r**4 - 85*r**4 wrt r?\nAnswer: -1804*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = -2*h, l = h - 6*h + 25. Suppose 33 = h*w - 7. Solve -i = -3*i + w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13795, 27598, 41401, 55204, 69007, 82810?\nAnswer: 96613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 10 = -y. Let j(p) = 5*p + 1. Let g be j(2). Suppose -1 + g = 2*a. Calculate the lowest common multiple of a and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**2 - 22*h. Let a(f) = 1095*f. What is c(a(d))?\nAnswer: 10791225*d**2 - 24090*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from {s: 3, r: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1294\/7 or 184?\nAnswer: 1294\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 60. Suppose 2*o - 229 = -3*h, w*o - 650 = 3*h - 165. What is the highest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5960*j = -5962*j - 5 + 18, -230 = 2*i - 16*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37867 - 37851.2872. What is t rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*l - 20, -r + 4*l - 92 = -5*r. Let p = 36 - r. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Suppose 2*x + 3*x + 3*t - 238 = 0, -x + t + 46 = 0. What are the prime factors of k\/(-5) - x\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) - (-2 + sqrt(1100))**2.\nAnswer: -1104 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 523 + 501 - 1024.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 10\/61 (c) 2 (d) -1141\/169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4 - 56*x**3 - 96*x**2 + 1024*x + 2048.\nAnswer: -4*(x - 4)*(x + 2)*(x + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -98, -2, 5.\nAnswer: -98, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - (-19 + 15)) + -14 + 16 + -21?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 375459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 80 - 78 - 13*m**2 + 8*m**2 - 10*m**2 as o + h*m**2 + l*m and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**7\/70 + 2*t**3\/3 + t**2 + 19*t. Let v(u) be the first derivative of q(u). What is the derivative of v(a) wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 5)*(-75 + 49*o + 75 + (3*o + o - o)*(-1 + 2 + 1)).\nAnswer: -55*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -27*w**5\/20 + w**4\/6 + w**3\/6 + 6*w. What is the tens digit of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -196, -201, -206, -211, -216?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*z + 3*z - 35, -5*a = 5*z + 15. Suppose m - z*m = -2. Suppose -4*s - 3*t + 35 = 0, s - m*t + 15 = 2*t. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212.34 - 0.9641043\nAnswer: -213.3041043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + x - x)*(-1 - 1 + 1) + 4*x - 5*x - 6*x - 88*x - 72*x - 5 + 183*x.\nAnswer: 18*x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:34 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p**2 + 56*p + 233. Give m(-5).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54088845 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3139103428 to the nearest integer?\nAnswer: 56028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -136, -421, -1008, -2011, -3544, -5721, -8656?\n\"Answer: -19*s**3 + 20*s**2 - 24*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + 2*j**3 - 5*j**3)*(-5 + 5 - 4*j + (-3*j + 2*j + 0*j)*(-2 + 8 - 1) + 2*j + 0*j + j)*(0 + 8 - 2).\nAnswer: 216*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 20. Suppose 147*u - 2082 = -59*u + 596. Solve l = -u*b + 17*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3545 - 167 = 189*z + 1958 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -24*x + 20*x - 3 + 9. Let f(g) = g - 1. Determine 11*f(q) + 2*m(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 66494103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 3*f**4 - 3*f**4)*(-5 + 3 + 4).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2.88. Let z = 0.12 - i. What is the closest to -1\/5 in 3, z, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (4 - (15 - (12 + -6))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*b = -124*b + 8547. Suppose -3*l - 9*i + 5*i + b = 0, -2*i + 6 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-130)\/(-2)) + 5. Let j = -190 + 132. Is j != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. What is the third derivative of -5*r**4 - r**4 + 3*r**4 - g*r**2 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(5))\/sqrt(5) - (sqrt(3) - (1 + sqrt(432))).\nAnswer: 1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9508\/7 - 37955\/28. Factor -27\/2*v - 45\/4*v**3 - c*v**4 - 81\/4*v**2 - 1\/4*v**5 + 0.\nAnswer: -v*(v + 2)*(v + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39934*r - 39934*r - 4*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 172, 404, 740, 1186, 1748, 2432?\nAnswer: 3244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*g - 36785 + 3185 = 0 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23500815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2692.388 + 18343441.\nAnswer: 18346133.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*k**2 + 97*k**2 + 4*k - 124*k**2 + 2 + 70*k**2.\nAnswer: -210*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6)*(20 - 14). Find the second derivative of -230*l + 228*l + h*l**2 - 26 + l**2 + 6*l**2 wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4703992 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8041)\/(-1122)*4\/86?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - d + 2. Let o(h) = -h**3 + 2*h**2 + 3*h + 2. Let t be o(3). Determine z(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 42 - 41, 0 = y + 2*x - 3. What is a in -30 + 57*a + 6*a + 17*a - 30*a**2 - 25*a + y*a**3 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -g - 5, 2 = -3*g + 4*a + 3. Suppose -g*f = -q - 2*f + 192, 2*q = 4*f + 394. What is the highest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85876, 85410, 84944, 84478, 84012, 83546?\n\"Answer: -466*q + 86342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2338824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -324002124?\nAnswer: -324002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 18*g**2 - 17*g - 4. Let s be h(-23). Suppose 3*b + 2*v - s = 0, -5050 = 2*b - 7*b - 5*v. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 41*q**2 + 153. What is the remainder when 617 is divided by r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*o - 22 = 1, 0 = -3*c - 4*o + 23. Suppose -3*v - 5*b = -v, -v + c = 2*b. Which is bigger: v or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 125990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + 168. Suppose -35*q + 6182 = -l*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyyybfggffwyfbygbyy. Give prob of picking 3 w and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -3. Let j be 4\/p - (-6)\/(-33). Suppose 4*u + 3*h - 25 = j, 4*h - 17 = u - 4*u. Solve u*z + 4 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199932715?\nAnswer: 5, 89, 449287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**4 + 68696*p**3 + 294396196*p**2 - 4723536960*p + 18911750400 = 0.\nAnswer: -8595, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-92))\/(75\/(-20) + 4).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1477*y - 2. Let m be i(6). What is m rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 13 + 1. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1076471 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10964.8 + -10965. What is the third smallest value in -761, u, -0.4, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**3 + 5*n**2 - 20*n - 21. Is 29 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 10, c: 7, s: 2}. Give prob of picking 1 o and 1 c.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 857428912 to the power of 1\/2, to the nearest integer?\nAnswer: 29282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.674 + -5.87. Let q = -1.124 - j. What is q rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -15 - (-1 - -3) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36172 - 256526 = 226*i + 68474. Sort 1, -5, i in increasing order.\nAnswer: i, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-3)*(-2712)\/904\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8131000.\nAnswer: 2, 5, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39693989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 4074072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1004215 or -1004240?\nAnswer: -1004240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.19 - -8.19. Let h = 5.82 + -16.82. Let u = h + y. Which is the second smallest value? (a) u (b) 4\/7 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 7*u**2 - u - 3. Let f be v(-7). Solve o - c - f*c = -1, -4*o + 5*c = 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5201 by 9.\nAnswer: -5201\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-6)\/(-4) - 2). Let b be 0 + 2 + 20*h. Suppose 62 + b = 4*s. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at least as big as 0.1279332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*l**2*w**5 + 2*l**2*w - 92856*l*w - 19*w**5 + 25*w**2 wrt w?\nAnswer: 1760*l**2*w**3 - 380*w**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -84 + -5?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (190\/(-20) - -10)*(-1 + 1181)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r - 7. Suppose -5*z + 140 = -z. Suppose l = 6*l - z. What is the tens digit of t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 303703 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 - 138.927. Let b = p - 0.683. What is b rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, t: 1, u: 1, f: 5, v: 1, o: 3}. What is prob of picking 1 v, 1 u, and 1 z?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3049, 5939, 8815, 11671, 14501, 17299, 20059, 22775?\nAnswer: 25441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701908?\nAnswer: 2, 3, 11, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-3))\/((-27)\/324). What is the tens digit of (1 - 1192)\/(24\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 911 - 1487 = 71*h - 3*d + d, 0*h + 5*d - 44 = 3*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 61*l**2 - 2*l. Let b be ((-1)\/(-3))\/(33\/198). Let u(j) = -12*j**2 - 7*j**2 + 22*j**b - 4*j**2. Determine u(t(h)).\nAnswer: -3721*h**4 + 244*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 146 = 42. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/sqrt(32) + (sqrt(1700) + 1 + sqrt(17))**2.\nAnswer: 45*sqrt(17)\/2 + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241022739?\nAnswer: 3, 80340913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ottoqooxooxxotoq. What is prob of picking 1 o, 1 q, and 1 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-5))\/(-7*(-32)\/(-560)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, r: 5, y: 3}. What is prob of sequence rrr?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n + 436. Let d(b) = -67. What is 6*d(v) + s(v)?\nAnswer: -15*v + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-3)\/6*2. Suppose 4*n = g*n + 40. Let y be (-4)\/10 + 8\/n. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 938747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:14 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35 + -21)*2\/4. Suppose -8*c = o - 39. Solve 11\/4*b + 9\/4*b**c - 11\/4*b**2 - 15\/4*b**3 - 1\/2 = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*d - 121*d + 35136 = 0. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537740000 rounded to the nearest 1000000?\nAnswer: -538000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 239220517363301\/55740107767872 - 12\/851357951. Let q = 1\/21824 - g. Calculate the common denominator of (-1220)\/96 + (-1)\/(-8) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j - 4. Let x(a) = -a**2 - 2*a - 5. Let t be x(0). Let y(w) = 6*w + 5. Give t*b(z) - 4*y(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 678 + -207. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 55\/45 + 3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(288) + sqrt(288)*-1 + -4))**2 + 2 - (-4 + (-2*(sqrt(288) - sqrt(288)*-2) - (-1 + sqrt(288) + -2)**2)).\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30786, 30759, 30732, 30705, 30678, 30651?\nAnswer: 30624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 2*k + 0*k**4 + 51 - 2*k**4 - 54 as p*k**4 + f*k**2 + i + z*k + o*k**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/10)\/((-32)\/800*5)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + 8 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 830*o + 2509. Let w be l(-3). Let v(n) = -n**3 + 8*n**2 - 7*n + 1. Let f be v(7). Calculate the highest common factor of f and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.79 - -3.21. What is the nearest to 20 in 0, y, -1, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554982 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/o**14)*o*o)**(-6) assuming o is positive.\nAnswer: o**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3979 - 3975. Is d equal to -113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: (3 - 12) + (1 + -5 - (-4 + 16))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -567536*r. Let j(m) = -m. Give t(j(c)).\nAnswer: 567536*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4 = d. Let p = 13 + -23. Let l = -7 - p. Solve -d = 2*g - l*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2989259536?\nAnswer: 2, 186828721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 52*n + 5613. Let l be j(-108). Let f(y) = 1 - 2 + y - 1. Determine f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -242445496\/243 - -22988658265517\/23041260. Let o = x + -1\/5172. Find the common denominator of o and 127\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2037 = -2*d, 5*g + d = -1111 + 4506. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 5 + (2 - -5). Suppose 2*z - z - 4*x = -10, -4*z = -5*x + 18. Let l = z + n. Solve -l*c - 12 = 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309 and 78836395?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187982603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2326884 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8918 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g - 9. Let c be l(6). Let m = 17 + 12. Suppose -a = n - m, -a - a + 3*n + 48 = 0. What is the highest common factor of c and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/9 and 133\/35 - (1 + -2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -189, 5, 4, 174827, -5 in ascending order.\nAnswer: -189, -5, -3, 4, 5, 174827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-3102)\/12))\/(199\/199)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 74. Let b(o) = 3*o - 210. Let q(s) = s - 56. Let w(h) = -4*b(h) + 15*q(h). Determine r(w(k)).\nAnswer: -36*k**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.3 - -0.2. What is d rounded to 0 dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -1620*g + 1075*g - 5 - 21*g**3 - 45 - 212*g**2 = 0.\nAnswer: -5, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-117)\/108*(-39)\/((-15210)\/(-40)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 656550600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 100.46, 15\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 + 3?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 53*b - 112. Let j be d(2). Let w(x) = -x**2 - 8*x - 14. Give w(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 27*c**3 - 44*c**3 + 3*c**2 - 11 - 54 + 15*c**3 to a*c + m + j*c**3 + n*c**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1067, -1069, -1071, -1073?\n\"Answer: -2*q - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.49 + 6.79. Let d = 1 + -2.2. Let h = d + t. What is h rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/5 - 29*a**3\/5 - 50*a**2 - 384*a\/5 + 2016\/5 = 0. Calculate a.\nAnswer: -12, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: In base 10, what is -48 - -1994846?\nAnswer: 1994798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 1121093 - 1121093. Let a(g) = -3*g - 2. Calculate t(a(s)).\nAnswer: -12*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-387)\/5 - (-6)\/15. Let n(i) = i**2 - 15*i + 6. Let z be n(5). Let k = z - l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 15*i + 17 = i for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*b - 15, -2*b - 1 = 5*o + 14. Suppose -u + b*u + 33 = 0. Does 11 divide -5*((-225)\/u - 8\/44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26854 - 26820. Sort -8, 5, g in ascending order.\nAnswer: -8, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 3. Let v be q(-7). Let t be 212\/v + (-12)\/10. Calculate the greatest common factor of t and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + -52. Let t = -33 - o. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867838521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6*18\/8)\/((-110)\/660). Let v be (-9)\/(-2)*(-1 - -3). What is the highest common factor of x and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -314ba?\nAnswer: 314c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -39*d**3 + d**2. Determine c(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -28. Solve -4*c = -4*k, 4*k + q = 5*c + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 109*q**3 - 425*q - 14. What is the first derivative of j(u) wrt u?\nAnswer: 654*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10340 by 3502.\nAnswer: 5170\/1751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 6*a**4 - 657*a. Let v(g) = 2*g**2. What is c(v(l))?\nAnswer: 288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6 - 3*i**2 - 12*i**2 + 30*i**2 - 10*i - 13*i**2. Let v be t(5). Let w be -2 + (42 - -2) + 0. What is the highest common factor of v and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611343.1 micrometers to meters.\nAnswer: 0.6113431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*g**2 + 2*g**2 + 8 - 4 wrt g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 713 = -2693. Let r = u + 22573\/57. Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**8\/1680 - v**7\/315 - v**6\/60 - v**4\/6 + 6*v**2. Let o(m) be the second derivative of p(m). Find n such that o(n) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(209)\/(sqrt(11) + (sqrt(275)*6 - sqrt(11))).\nAnswer: -3 + sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/20 - 5*s**4\/6 + 5*s**3\/3 - 3*s**2 - 4*s. Let g be f(9). Solve 5 = -g*p + 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q + 1. Let l be n(-2). Let v(i) = i**2 + 2*i - 5. Let y be v(-4). What is the closest to 0 in l, y, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/34 + -73\/408. Find the common denominator of p and 1\/17.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 709 and 0.6214?\nAnswer: 440.5726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 313 + 1241 = -36*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/5 + 54*s**3\/5 - 141*s**2\/5 + 18*s = 0. Calculate s.\nAnswer: 0, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11110011101?\nAnswer: -11110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34031 + 56772?\nAnswer: 113023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = m + h, 5*m + 2*h + 2*h - 40 = 0. Suppose -m = -7*x + 13. Solve -x*i = 4*y, 5*i = y - 2*y - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*r**3 - 43433*r**2 - 2377963*r wrt r?\nAnswer: -180*r - 86866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64.92 - 68. Let z = s + 0.08. Which is the third smallest value? (a) -2\/7 (b) -1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 773*u**4*w + 2*u**4 + 40*u**3*w - 380*u**2 + 28122*w wrt u.\nAnswer: 18552*u*w + 48*u + 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 20 = 7*g. Solve 4*y = -g*b + 3, -2*b - 2*y - 10 = -6*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - p = -8, -5*p = u - 5*u - 12. Let f(l) = -u*l**2 - l**2 + 5*l**2 + 0*l**2. Let i(b) = 4*b**2. Determine f(i(t)).\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*s + 212453 = -10986, i = -s - 44695. Let q = 5094929\/114 + i. Let x = 7\/116 + 252\/29. Calculate the common denominator of q and x.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 313*d + 119*d + 292*d as s + k*d and give k.\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/9 (b) -5 (c) 0 (d) 0.3 (e) -42605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**6\/360 + 8*x**3\/3 - 36. Let n(j) be the third derivative of c(j). Let k(p) = 6*p. What is n(k(m))?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 115 (c) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**4 + 103*z**2 + 289 wrt z.\nAnswer: -4*z**3 + 206*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6265350 divided by -125307\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + 3\/(-3)). Let i(s) = 2*s - 3. Let g be i(2). Sort c, -4, g.\nAnswer: -4, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695326783 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 2)*(2 - 2 + z)*(-3*z**3 - z**3 - z**3).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 2*h + 8. What is a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1302)\/(-465)*(-12)\/(-7).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 282 divided by 5959\nAnswer: 282\/5959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137*y**3 - 172*y - 3 wrt y.\nAnswer: 822*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1017*w**4 - 12*w**2 - 25*w - 2. Let f(h) = 1017*h**4 + 15*h**2 + 26*h + 1. Let p(r) = 5*a(r) + 4*f(r). What is the second derivative of p(c) wrt c?\nAnswer: -12204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2514404.\nAnswer: 2, 193, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 - k**2 - 315.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406010 is divided by 4801.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -89.6103 * -1\nAnswer: 89.6103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.00273ml?\nAnswer: 0.05200273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35596 (base 10) to base 16\nAnswer: 8b0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**3 + 26 - 38*t**3 - 26.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 1, 1928?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 are the prime factors of 99665?\nAnswer: 5, 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/4*((-112)\/7)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*n**5 - 2748000*n**4 - 2060946*n**3 - 386424*n**2 = 0. What is n?\nAnswer: -21468, -3\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2196 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9028556827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82175 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1 - 9 = 0. Let l be ((-2)\/4)\/(b\/24). Solve l = -2*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 60*a - 456. Determine i(-51).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 + 3*c**2 + 18 - 24 - c**4 in the form f*c**4 + y*c**2 + b*c + g + q*c**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(((p\/(p**(-8)\/p))\/p)\/p)\/p)\/(p\/(p**(9\/5)*p))*p**(-5\/3)\/(p*p*p**(-4)) assuming p is positive.\nAnswer: p**(152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5114, -15, -3 in decreasing order.\nAnswer: -3, -15, -5114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -250.63\nAnswer: 2.5063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2435.576ml to litres.\nAnswer: 2.435576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g - 51344 = -15879. What is the highest common divisor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = 1 - 57. Is c < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -643?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 560\/(-308)*11 + 1 + -11. Let l(o) = -7*o - 194. Give l(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82958808 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(1300)*-5 + 2 - 4*(sqrt(1300) - (-1 + sqrt(1300) + 2 + sqrt(1300)) - (-3 + (sqrt(1300) - (sqrt(1300) + 2)))))**2.\nAnswer: 260*sqrt(13) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (67*j - 38*j + 33*j)*(2 + 3 - 4)*(4 - 4 + 2)*(-3 + 1 + 1)*(11 + 31 + 3) in the form v + q*j and give q.\nAnswer: -5580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.66 - -0.86. Let a = h + 13. What is the second biggest value in a, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*r - 1326 = 375. Let o(b) = -b**2 - b. Let n(v) = -5*v**2 - 25*v. Let y(u) = n(u) - 4*o(u). Let s be y(r). Which is greater: s or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.762016 rounded to 0 decimal places?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - 0.45. Let z = -168 - -166.11. Let g = 0.11 - z. Which is the closest to 2\/5? (a) g (b) h (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 2*i**2 - 2. Let m(b) = -b**3 - 4*b**2 + 6*b + 7. Let j be m(-5). Let w be n(j). Let v = 10 - w. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 10*f - 438 = 0. Let j = -73 - f. Solve 6 = -j*u + 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011110000001001 + -11?\nAnswer: 1000011110000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -3. Suppose 122 = 4*n + 94. Suppose t - 3*q - 5 = 0, -3*t = -3*q + 2*q - n. Which is the nearest to -1? (a) t (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 9250.\nAnswer: 9250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.23102 + 0.59353. Round q to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576, -1161, -1738, -2301, -2844, -3361, -3846, -4293?\nAnswer: -4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(2*q**5 - 1 + 1) + 4*q**5 - 3*q**5 - 2*q**5 - 4*q**5 + 2*q**5 + 4*q**5 - 5533*q**5 - 8094*q**2 + 8094*q**2.\nAnswer: -5536*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 64967.6.\nAnswer: -12993.52","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -64, -92?\n\"Answer: -28*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Calculate the remainder when d*1 + (10 - -3) is divided by 6\/(-4)*16\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622\/(-1244) - (-79)\/(-2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.39 - 0.39. Let n = -2.5 + r. Let i = 2.3 + -2. What is the third biggest value in -5, i, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, -6, -27, -60, -105, -162, -231?\n\"Answer: -6*i**2 + 9*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 26*p - 56. Let k be a(-10). Solve 5*h - 5 = 0, 0*d + d = k*h - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1782 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 12*p**2 - 32*p + 49. What is z(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135 - -34?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 33138?\nAnswer: -33150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-27)\/(-133041))*(-1 - -4) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8448\/29, -3, -1\/13.\nAnswer: -3, -1\/13, 3, 8448\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Suppose 5*m - 13 - 122 = k. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 398, 774, 1150, 1526, 1902, 2278?\n\"Answer: 376*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 213697000 rounded to the nearest one million?\nAnswer: 214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**16*(d\/(d\/d**(11\/4))*d)\/d)\/(d**1*d)**(1\/7) assuming d is positive.\nAnswer: d**(517\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5510 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1232*j**3*l**3 - j**3*l**2 + 47*l**3 - 8 wrt j.\nAnswer: -3696*j**2*l**3 - 3*j**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(1 + 1 - 4)*(14 - 14 + 4*k).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -219 + 51. Let h be q\/273 + (-1)\/((-52)\/57). Which is the smallest value? (a) -15 (b) -2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 3:18 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 15 + 37 = 0. Let p(v) = -v**2 - 9*v - 1. Let k be (-18)\/(-4)*(-5 + 3). Let y be p(k). Are y and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374295, -374294, -374293, -374292?\nAnswer: -374291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 5*s + 10)*((-2*s**2 - 3*s + 3*s)*(-s**2 + 1 - 1) + 18*s**4 + 2*s**4 + 21*s**4) - 1 - 2*s**5 + 1.\nAnswer: -217*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 41 and 21043.\nAnswer: 21084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 13, -39, -93, -149, -207?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 176 - 228 = 0. Let k = p + 302. Let o = 102 - 92. What is the greatest common divisor of k and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -222, -697, -1624, -3153, -5434?\nAnswer: -8617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221 - 141. Let z(u) = u**2 + u - 8. Let p be z(8). Suppose -w + p = w. What is the highest common divisor of w and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 35*i**3 - i**2 + i. Let m be -16 + 0 + 17 + 0. Calculate q(m).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let b(t) = -t + j*t - 2*t. Let x(y) be the second derivative of -y**3\/6 + y. What is x(b(r))?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 66*v**2 + 4*v - 144. Calculate r(66).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15625, -15818, -16287, -17170, -18605, -20730, -23683?\n\"Answer: -23*c**3 - 32*c - 15570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20899945?\nAnswer: 5, 11, 379999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12133599.\nAnswer: 3, 4044533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/17))\/k*k*k**(2\/7)*k*k*(k*k**(-3)*k*k)**47)**(-8) assuming k is positive.\nAnswer: k**(-3016\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c86 (base 16) in base 11?\nAnswer: -5539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -999 - 84*m**3 + 999 + (-1 - 4 + 7)*(4*m**3 - 6*m**3 + m**3) in the form v*m**2 + z*m + d + f*m**3 and give f.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 52 = 4*l + 32*j, -2*j = l - 12 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4197111.36 rounded to the nearest 1000?\nAnswer: -4197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 28*a + 64. Give z(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*l + 87*l - 49589 = -778*l + 45401 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -7*y**2\/2 - 9*y - 3062. Give x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1\/3, 0.1, 2, 1\/3 in decreasing order.\nAnswer: 12, 2, 1\/3, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c\/(c\/((((c*c\/c**(3\/11)*c)\/c)\/c*c)\/c*c*c)))*c)\/c*c*c\/(c**(2\/7)\/c)*c*c assuming c is positive.\nAnswer: c**(153\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-684)\/(-570))\/(12\/5)*36\/2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - t. Let r be g(-1). Let d(s) = 24*s - 5. Is 14 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -53. Suppose 0 = -4*g - 3*z - 42, 0 = 3*g - 5*g + 3*z - 30. Let y = d - g. Solve -3*i + y = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -26.2. Let q be (3 + (-21)\/6)*-4. What is the closest to q in x, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*a**2*d**2 + 7794430*a**2*d + a*d - 337884*d**2 wrt d.\nAnswer: 20*a**2 - 675768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207786136, -207786140, -207786146, -207786154?\nAnswer: -207786164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345215022.\nAnswer: 2, 23167, 29033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87991 is divided by 464.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 0.03. Let a = j + 4.98. Let o = 0.158 + 0.242. What is the third biggest value in -2\/5, a, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, 4, 2.\nAnswer: -6, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2763, 4921, 10779, 22185, 40987?\nAnswer: 69033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 72*u + 3505. What is c(-49)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/1756 or -7802?\nAnswer: -5\/1756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*x + 5*w, 8*x - 3*x - 135 = -3*w. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444 (base 6) to base 15.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -52*q + 1 + q + 1 + 10*q. Does 9 divide r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4640 = 52*i + 9608. Are i and -3\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/20 - 16\/5. Let d = -1381 + 11021\/8. Find the common denominator of d and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1216 divided by 304\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -100*s - 5. Suppose 4*y - 5*g + 0 = 2, 10 = 5*g. Suppose -y*p + 3*m = 15, -4*p + 7 = -3*p + 5*m. Let j be h(p). What is j rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.166083315 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -19*d - 24. Let s(m) = 16*m + 24. Let x(w) = -4*s(w) - 3*y(w). Let c be x(-5). Solve -b - 3*l + 10 = -7*l, -4*b = l + c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302171\/84 + -3597. What is the common denominator of 31\/24 and g?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -772 (b) 0.07 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 1, a: 2, c: 1, t: 1, y: 1}. What is prob of sequence mav?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(63)*1*-6)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*g - 125301, 78*g - 125316 = -3*j + 79*g. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Let a(h) = h**2 + 4*h - 3. Let o be a(-5). Suppose 2*y - q = 1, b*y + 10 = -y - o*q. Is -1 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -176, -592, -1276, -2222, -3424?\n\"Answer: z**3 - 140*z**2 - 3*z - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 133 + -93. Suppose -i*p + 3821 = -39*p. Suppose 0 = -8*f + 9*f - p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91462.\nAnswer: 2, 7, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/9 - 43933*z + 1581572\/9 = 0.\nAnswer: 4, 395393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztpz when four letters picked without replacement from gggyzygpypgtyyzepzep?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7909 + 707c?\nAnswer: -86b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002822272 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1 - (-1 + -4 + 4). Solve k*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/196 and -113\/52276.\nAnswer: 365932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -36*((-34668)\/(-16))\/(-27). Calculate the greatest common factor of t and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*a**3 - 21*a**2 + 2*a + 3840?\nAnswer: 102*a**2 - 42*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(77) - (sqrt(77) - -4*sqrt(77)*2)) + sqrt(77) + -1*(sqrt(77)*2 + sqrt(77)) + sqrt(77) + sqrt(77))\/(sqrt(539) + -6*sqrt(539)*2).\nAnswer: 8*sqrt(7)\/77 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12068*r + 13728 wrt r?\nAnswer: -12068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309, 6, -1, 4, -643.\nAnswer: -643, -1, 4, 6, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -70.28. Let r = -32.52 - j. Round r to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113832 and 47484808.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12868 = -5*c - 7697, 5*a - 20583 = -c. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (1631 - 8) + 20\/4?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 702*h + 528*h - 16149 - 35511 for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12354 and 59\/31436.\nAnswer: 6695868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -310700000 to the nearest 1000000.\nAnswer: -311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.7921 times 0.4\nAnswer: 0.31684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 66\/(-9)) + (-1552)\/(-6). Suppose -u = 162*n - 163*n. What are the prime factors of n?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 63951744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/2 - y**4 - y**3 + 2*y**2 + y\/2 - 1 = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 142 - 94. Let v = 54 - z. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:42 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -23*a**2 + 5*a - 5. Suppose 3607 = -101*w - 1847. Let s(v) = 252*v**2 - 54*v + 54. Determine w*f(b) - 5*s(b).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 5*p + 2. Suppose -5*o + 4*n + 19 = 0, -2*n + 5 - 1 = 2*o. Suppose 0 = o*v - 6*v + 3. Let s be (0 - v)*(-3 - 0). What is y(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14280078*l**5 - l**2 + 177039442*l.\nAnswer: -285601560*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 + 113. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8915\/1911 + 1\/637. Let i(h) be the first derivative of -2 + 0*h**5 - 2*h**6 + 0*h**4 + 0*h + j*h**3 + 0*h**2. Find the third derivative of i(r) wrt r.\nAnswer: -720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67805, -67811, -67827, -67859, -67913, -67995?\nAnswer: -68111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486006 is divided by 6068?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -3022, -9168, -20456, -38434?\nAnswer: -64650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -n - 4*x + 59, -2*n + 4*x + 180 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 - 4700*n\/9 + 2761250\/9.\nAnswer: 2*(n - 1175)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001298 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1227085332 and 4.\nAnswer: 1227085336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*w + 10828 = 0, 136*w - 140*w - 4 = 0. Solve 2702*u - g*u - 36 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-19\/5))**(23\/5)\/((t\/t**(-4\/5))\/t*t)**22)**(-2\/23) assuming t is positive.\nAnswer: t**(2854\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k - 22*k + 82*k - 26*k - 2*k**2.\nAnswer: -2*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107171811.\nAnswer: 3, 73, 157, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 22096.11857.\nAnswer: 22114.11857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 3. Let j be q(-3). Suppose -2*l = -3*m - j*m + 151, -m + 39 = 5*l. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -379122*g. Let o(t) = t**2. What is o(j(f))?\nAnswer: 143733490884*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1361197 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 16, 5, 1\/9, -2.95, 2\/3, -686?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.61\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgoggrgrr. What is prob of picking 1 g and 1 o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730 = -3*y + 16*u + 784 - 1674, 5*u - 50 = -4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1696204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 78992 and 0.2?\nAnswer: 78991.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9*x - 30 = 0. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 23 = 16. Suppose -65 + i = -2*a. Suppose -3*u - 18 = -2*g, 10 = 3*g + 5*u - u. Calculate the remainder when a is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 + 1019*x + 41*x**2 - 1019*x.\nAnswer: 58*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4))\/((-16)\/(-64)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137337 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 4*b**2 + 7*b + 6. Calculate u(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(14\/11)\/h)**46)**(-46))**12 assuming h is positive.\nAnswer: h**(-76176\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-43)\/43 - -4*1*331. What is the highest common factor of 63 and k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7337 (b) -4 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvqq when four letters picked without replacement from {q: 3, v: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -329 + 325. Put 3, 2, -0.6, w in increasing order.\nAnswer: w, -0.6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -10.01?\nAnswer: 4.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11250, -22375, -33500, -44625, -55750, -66875?\nAnswer: -78000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5 + (-23 - (-11168)\/520).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/427 or 0?\nAnswer: -5\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 1, 4, -56, 469 in increasing order.\nAnswer: -56, 0, 1, 2, 4, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(605)*-1 + 2)*-1 + 0 + -3.\nAnswer: -6 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*a = -32, 5*k - 1821*a + 1826*a = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 - 108.1. Let p = l - 19. Let x = p + 0.1. What is the closest to -1\/4 in 2, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*b = 21 - 10, 12 = -4*b. Let s(a) = -a**3 + 3*a**2 - 2. Let z be s(2). Put 5, z, k in descending order.\nAnswer: 5, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 14*s + 37. What is y(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.3, 0.2, -0.36, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*z + 6\/7*z**2 + 0*z**3 - 2\/7*z**4 + 0.\nAnswer: -2*z*(z - 2)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2. Let s(h) = 613124169*h. What is s(m(c))?\nAnswer: -1226248338*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**3 + 5*d - 10. Let c(q) = 11*q**3 + 6*q - 9. Let m(w) = -5*c(w) + 6*y(w). Differentiate m(z) with respect to z.\nAnswer: 51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6 + 2 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2602775, 2602871, 2602987, 2603129, 2603303?\n\"Answer: f**3 + 4*f**2 + 77*f + 2602693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60113399651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 71064797939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-36) - 110\/315 - (-22)\/63.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q + 233. Determine m(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*m**4 - 89043751*m**2*v + 407988879*v wrt m?\nAnswer: 24*m**3 - 178087502*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10522 less than or equal to -10522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1471158441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 270 and 6975?\nAnswer: 41850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/12 + g**3\/6 + 2*g**2 - 5*g. Let n be t(3). Is n - (1 - 90) - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 6*l - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 + 51 = -2*z. Suppose -6*o + 2*o = -z. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -17. Which is the biggest value? (a) 3 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 25*q - 4. Determine j(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (23 - 12))\/(-4).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -46, -79, -110, -139, -166?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 5*m + 5. Let v(w) = -w + 1. Let q be 1\/((-3)\/54*1). Let o(x) = q*v(x) + 4*f(x). Is o(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3\/11 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*h + 18519 = -283*h. What are the prime factors of h?\nAnswer: 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 74 = 2*h, 4*h = -4*r + 4 + 128. Suppose -4017 - 3551 = -x. Calculate the remainder when 1\/(-7) - x\/(-56) is divided by r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -5.6. Let j = g - -3.3. What is the biggest value in -0.1, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3116*q + 4*o - 20 = -3118*q, -2*q + 10 = 2*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 19*x + 12. Let q be (-104)\/(-65)*125\/20. Determine r(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2*o**2 + 6\/13*o + 48\/13*o**3 + 27\/13*o**4 - 8 - 54\/65*o**5. Factor j(i).\nAnswer: -2*(i - 3)*(3*i + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.02 + 1.883. Let m = -0.067 - h. What is m rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -319, -562, -865, -1228?\nAnswer: -1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2501*u**2 + 1 + 6495*u**2 + 161*u**2 + 11817*u**2.\nAnswer: 20974*u**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 364705858 a multiple of 5038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 19 - 8*l - 17 + (5 - 4 - 3)*(-3*l + 3*l + 2*l))*(l**2 + l**2 - 4*l**2) to g + b*l**2 + j*l**3 + m*l and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692*m - 1677*m - 231075 = 0. Is m a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186 by -2.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 3:59 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 10*s - 11. Let h(p) = p**3 + 4*p**2 - p - 4. Let x be h(-3). Let g be v(x). What is the units digit of 19 + -1 + -3 + g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.111173 - 18525.\nAnswer: -18524.888827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7610 is divided by 2522.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Let g(b) be the third derivative of -b**5\/60 + b**4\/12 - b**3\/3 + 12*b**2. Give g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 2232758?\nAnswer: -2232754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -4. Suppose -5 = 5*y + k + 2*k, 0 = -5*y + k + 15. Suppose y*u = 3*r - 43, r - 2*r - 5*u + n = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952751507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40420 (base 6) to base 12.\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 1:40 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76.28 + 78. Let j = -1.8 + v. Let c = 0.22 - j. Sort -3\/5, 0.1, c.\nAnswer: -3\/5, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 20 = 22*l. Suppose g = 5*g - 2*v - 186, l*g + 5*v = 87. Calculate the highest common factor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -101. Let g be (p\/10)\/((-7)\/(-4)). Let t = 8 + -11. What is the nearest to -3 in g, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4000 is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 65) + 11 + 3 + 4 + (0 - 1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x + 15 = 0. Which is the third biggest value? (a) x (b) 0.3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 divided by -151?\nAnswer: 221\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1573) - -2*sqrt(1573)) - (sqrt(1573) + 1 + sqrt(1573))*-4)**2 + 1 + sqrt(325) + sqrt(65)\/sqrt(5)*6)*6.\nAnswer: 2706*sqrt(13) + 236052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 16*t**2 + 60*t + 60. Let p be r(-11). Solve 4*x - 12 = -2*z, -97*x = p*z - 93*x - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -65\/2. Let w = -609 - -613. Which is the second smallest value? (a) w (b) v (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let u(y) be the first derivative of y**3\/3 + y**2 + 4*y - 4333. Determine 7*l(n) - 2*u(n).\nAnswer: -2*n**2 + 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/10 + 17*u**2\/10 + 23*u\/5 - 76\/5 = 0. Calculate u.\nAnswer: -4, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**2 + 5*a**2 - 54*a**2 - 11*a**2 - 88*a**2.\nAnswer: -102*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - w = -4*j - 3, -4*w + 9 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**4\/12 - 8*s**2. Let y(u) be the first derivative of 0*u - 1\/3*u**3 + 0*u**2 - 1. Determine c(y(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 3*w + 3. Let p(c) = c**3 + 5*c**2 - 6*c - 3. Let q be p(-6). Let z be (-5 + (1 - q))*-5. Suppose -14 = z*i + 1. Give d(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109405034 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhld when four letters picked without replacement from ihuldhiiiiuihihiuihh.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + -2 + 128 + -118 + 9\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from abbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, 29, 119, 297, 593?\n\"Answer: 5*t**3 - t**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 f when four letters picked without replacement from {f: 9, i: 5}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 1. Let c(b) = -b**2 - 6*b + 6. Calculate c(j) + 4*x(j).\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d**3 - 2*d**3 + 0*d**3)*(-2*d**2 + 3*d**2 + d**2) + 418 - 418 - 2*d**5 - 2*d**4 + 2*d**5 + 2*d**4)*(0 + 3 + 0).\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 513 - 264 + 6*f - 889 to the form s*f + i and give i.\nAnswer: -1666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose 4*l = j + 149, -242 + 72 = -5*l - z*j. Suppose 680*n = 698*n - 1260. What is the remainder when n is divided by l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-5 - -1) - -4. Solve -q*d - 13 = -33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 149582.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*u**2 - 161*u**3 - 296*u**2 + 148*u**2.\nAnswer: -161*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 3*l = -5*r + 45, 12 = -4*r. Suppose n + l = 3*n. Calculate the remainder when 12 is divided by (n\/12)\/((-1)\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 64.\nAnswer: -4, -1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10570\/906*(-12)\/5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 10:55 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 27*f - 34. Let r be h(2). Suppose 1132 = 4*t - 3*d, -8 + r = 3*d. List the prime factors of t.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077732 rounded to 4 dps?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h. Suppose 6*x = 9*x - 84. Let y be (x\/(-16))\/(2\/8). Which is the nearest to h? (a) 2\/15 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578940 is divided by 3911?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 8\/7 (c) 5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 2*k**3 + 165 + 9*k**3 - 20*k**3 - k**2 + 15*k**3 to the form z*k**2 + g + s*k**3 + d*k and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0356624 - 4\nAnswer: -4.0356624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) -0.5 (c) 94 (d) 4 (e) -1 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35904, 35903, 35902, 35901, 35900, 35899?\nAnswer: 35898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.653 and 302.4.\nAnswer: -9874.2672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiihwiwiiiw. What is prob of sequence qh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5917269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 14 + 0 + 17 + 9*h**2.\nAnswer: 9*h**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-30)*9*(704\/24)\/22\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*((-3*o**2 - o**2 - o**2)*(o - 3*o - o) + o**3 + 0*o**3 + 0*o**3).\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.722 + 0.278. Is f greater than or equal to -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 108, 154, 238, 372?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 309727 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p**2 - 14*p + 17. Calculate c(-5).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -263001 + 5023. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.52214 millimeters in centimeters?\nAnswer: 2.352214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -38*l + 114. Give o(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205*f**2 - 1475*f + 1475*f)*(-1 + 4 + 2) - 2*f**2 - f**2 + 5*f**2 + (f + 0*f + 0*f)*(1 + f - 1).\nAnswer: -1022*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 1 - 0)*1. Let f be u + -3*1\/(-3). Let z = 17 + -19. What is the closest to z in 3\/4, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 - 747*b**2 + b - 2. Let v(r) = 12*r**3 + 1494*r**2 - 2*r + 5. What is -14*d(i) - 6*v(i)?\nAnswer: -2*i**3 + 1494*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5914\/15 + -394. What is the third smallest value in s, -0.4, -2\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-468)\/(-120))\/((-3)\/(-4)). What is the third smallest value in -0.073, 0, 6, s, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2371 smaller than -2371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 2. Let q be b(-6). Suppose 24 = 9*x - 5*x. Let z = x - 6. Solve m + m - q = z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/20 and 109\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*a**2 - 12*a + 4 + 35*a**2 - 4 to the form r*a**2 + d*a + p and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13606.12518 rounded to the nearest 10?\nAnswer: 13610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 5*t**2 - 53*t - 137. What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324*m + 2*v + 6 = -1325*m, -m + 15 = -5*v for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, and 2 b when four letters picked without replacement from wbies?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48735*k**5 + 342285*k**4 - 2217035*k**3\/3 + 1367285*k**2\/3 - 10360*k + 60 = 0.\nAnswer: 2\/171, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/80 - t**5\/15 + 7*t**4\/24 + 2*t**2. Let z(r) be the second derivative of n(r). Differentiate z(y) with respect to y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 788?\nAnswer: -2364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/5, 7, 5 in descending order.\nAnswer: 7, 5, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 271 = 149. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103\/84 + -10\/21. Suppose 0 + 0*n - k*n**2 = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -115, -168, -221, -274?\n\"Answer: -53*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g**(-11)))\/g)\/(g\/(g\/g**(-4\/13))))**(-12))**(-27) assuming g is positive.\nAnswer: g**(43416\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0*m + 0*m**3 + 17\/60*m**5 - 6*m**2 + 0 - 1\/4*m**4. What is the second derivative of h(k) wrt k?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i + 6. Suppose -2*d + 4 - 14 = 0. Let p be g(d). Let n(y) = y**2 - 6*y + 4. Let r be n(6). Sort p, 0, r.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 17.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 10:18 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 68694.04198 to zero dps.\nAnswer: 68694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 17*m - 3. Let y = 3193 - 3210. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 177 = -4*q. Suppose -2*d + 25 = -5. Calculate the remainder when q is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.371 millennia to centuries.\nAnswer: 7473.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*m - 173*m - 25 + 25 to w*m + a and give w.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 8 - 7)\/(1\/1). Let s be (l*3\/9)\/(3\/(-54)). Solve -s*h = -3*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j + 26. Let a be f(6). Let y = -13 - -9. What is the third biggest value in y, a, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 515, 1023, 1529, 2033, 2535, 3035, 3533?\n\"Answer: -d**2 + 511*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/7)\/12)\/(5\/(-40))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9677 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, l: 9}. Give prob of picking 3 a and 1 l.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/180)\/(23\/(-92)).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 15*f + 2778. Let c(r) = 8*r + 1395. Determine 7*c(h) - 4*m(h).\nAnswer: -4*h - 1347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 12*q**2 + 19*q - 17*q**2 - 7 + 22*q**2 + 1 - 2. Determine l(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/15*10\/2. Let y(p) be the first derivative of p**2\/2 + 3*p - 2718. Give y(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/5 - k**3\/6 + 2*k. Let o be t(1). Suppose 9 = 4*n - o*n. Solve 2*b = b - 3*r + 19, -5*r = -4*b - n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/646*12\/30?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/9 + 10*b**4\/3 - 886*b**3\/9 + 1126*b**2\/3 + 2324*b\/9 - 5456\/3 = 0. What is b?\nAnswer: -31, -2, 3, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q - 10. Suppose q = -4*l + 37 + 3. Suppose t - 3*p - 6 + 1 = 0, 4*t - 2*p = -l. Sort 0, -1, t, 1 in increasing order.\nAnswer: t, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**9\/35280 + n**8\/7840 - n**7\/1176 - n**6\/280 - 5*n**4\/6 + 16*n**2. Let c(l) be the second derivative of q(l). Factor c(s).\nAnswer: 3*s*(s - 2)*(s + 1)*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 + n - 17037*n**3 - 2*n**2 - 17051*n**3 - n + 34086*n**3.\nAnswer: -2*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -172143, -172146, -172149, -172152?\n\"Answer: -3*k - 172140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 3*g - 6 + 5 + (g - 3*g + 0*g)*(-1 + 1 + 2).\nAnswer: -9*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/65590 and -3\/4319.\nAnswer: 40469030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 15. What is the least common multiple of 7 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*q**2 + q + 2 - 29*q**3 + 137*q**2 as a*q**2 + i + l*q + y*q**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884*f = 882*f + 12 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*x**3 - x**3 - 2*x**3)*(1 - 9 - 9) - 22*x**3 + 62*x**3 + 4*x**3 + 0*x**2 - x**2 + x**3 + x**3 as w*x + m*x**3 + u + g*x**2 and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20691 - 3?\nAnswer: -20694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 - 2. Let x = 0.43 + 11.07. Let s = 12 - x. What is the second biggest value in s, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93369591 divided by 5103?\nAnswer: 18297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 16) to base 6.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7\/(-2) - -4 - -3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62404 is divided by 1024.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-18)*24\/(-36))\/(8\/(-1056)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 245?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(5\/7)*s*s)*s**30*s assuming s is positive.\nAnswer: s**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6739322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 3\/4*a**5 - 9\/2*a**4 + 27\/4*a**3 + 0 + 0*a.\nAnswer: 3*a**2*(a - 4)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15238, -28529, -41824, -55123, -68426, -81733?\n\"Answer: -2*r**2 - 13285*r - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*t + 7 - 12, -5*t + b + 25 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/69 or 1?\nAnswer: -20\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 + 108. Let s = r - -75. Sort s, -1\/4, -8.\nAnswer: -8, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 15 + -10 + -20.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllll. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c**2 - 140*c - 5. Let z(a) = 4*a**2 + 142*a + 3. Determine 2*j(f) + 3*z(f).\nAnswer: 2*f**2 + 146*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 + 10*p - 18. Let m be i(-9). Suppose 0 = -2*c + 7*c - 120. Calculate the greatest common divisor of m and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1424599?\nAnswer: 11, 129509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -151508567\nAnswer: -151508567.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20528 or -1744949\/85?\nAnswer: -1744949\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 9:55 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*13\/(260\/24)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 2, d: 2}. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -10*y + 5*y. Let n be -13 + 0\/y + 4. Let t = 13 + n. Which is smaller: -0.5 or t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five halves of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193603 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/21 + 5042*x\/7 - 30260\/21.\nAnswer: 2*(x - 2)*(x + 7565)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 at most 765043\/930?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -3*v + 2*q, -22 - 110 = 2*v - 5*q. Which is bigger: v or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.8 - -5.857. What is t rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 330 + 450 = 0. Determine i so that 44*i**2 + 5*i**4 - l*i + 5*i**3 - 33*i**2 - 31*i**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u + 12. Let k be v(-7). Let d = -22 - k. Solve -4*i = n - d, -3 = -i + 4*n - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1336.4 - -1336. Which is the fourth biggest value? (a) -1 (b) -2\/25 (c) 4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1105, 2214, 3325, 4432, 5529, 6610?\nAnswer: 7669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 22. Let t be z(12). Let o = -40951\/12 - -3422. Find the common denominator of 1\/((-21)\/t)*(-3)\/(-4) and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -188*m + 185*m + 27. Let y be 74\/6 - (-6)\/m. Solve -y*j = -8*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5, 18*l = 23*l - x - 239. What is the greatest common factor of 192 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.7712.\nAnswer: -0.23136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + 1. Let u = o + -30.3. Which is the closest to -2\/11? (a) u (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1807, -7266, -16379, -29158, -45615, -65762, -89611?\nAnswer: -117174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v + v + 12*v + (4*v - v + 0*v)*(2 + 2 - 3) + 4*v + 2*v - 3*v as h + z*v and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3001?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 210*v + 10979. Let r be n(-112). Let h(c) = -1 - 5 + 1 + 1 + c. Give h(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219275 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: Sort -7, 6\/13, -4 in decreasing order.\nAnswer: 6\/13, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -63*g - 79. Let s be c(6). Let y = 961 + s. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -3) + 2 + -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b*b*b*b*b**(-2\/7)*b*b*b assuming b is positive.\nAnswer: b**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4048170 (base 9) in base 8?\nAnswer: -10166640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574694 is divided by 4224?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -49\/6, -5, 107?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661045 is divided by 51.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.0044 + -2.8044. Which is the second smallest value? (a) 2 (b) 3 (c) -5 (d) 0.1 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t - 4. Let h be p(-3). Suppose 4*x - 10 = -3*q, -5*q + 68 - h = x. Suppose -18 - 21 = -132004*b + 131991*b. Solve s = b*s + q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 203*j - 1. Let u(o) = -101*o. Determine 3*i(x) + 5*u(x).\nAnswer: 104*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 26 - 596*l**2 + 101*l**2 - 15 to u*l + n + f*l**2 and give f.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**4\/2 + 5*n**3\/3 - 214*n**2 + 2. Let b(u) = -13*u - 11. What is 6*b(d) + 7*p(d)?\nAnswer: 6*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20769859 - 0.8\nAnswer: 20769858.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325924557 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4052695, -8105303, -12157915, -16210531, -20263151, -24315775?\nAnswer: -28368403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28840 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-474 - 1418 + 349 - 126)*(4*j + 6*j + 6*j) to the form i*j + f and give i.\nAnswer: -26704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*b + 124, -2*b + 4*b = -10. Suppose -o*z + 69*z = -24. Let c = 18 + 12. Calculate the remainder when c is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64407 to the nearest one hundred.\nAnswer: 64400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.65, -0.07, 0.4, 3?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 + 0 + 3*x**2 - x**2 + 3*x in the form w*x**2 + r*x + n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 - 1.8. Let n = v + -0.9. Let j = 24712 - 24711.2. What is the closest to n in 0.2, j, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -48*r**2 + 9*r + 2244. Determine o(-7).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 204897 times -0.98\nAnswer: -200799.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44084409?\nAnswer: 3, 3023, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i + 7. What is t(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-14)\/(-12)*-3. Let b be (-466)\/c - (-6)\/(-21). Suppose -5*q = 3*v - 2*q - b, 4*v - 56 = -q. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**3 - 7*b**2 + 7*b - 7. Let c = 1 - 1. Let s = c - 3. Let f(t) = 0*t + 2*t**3 + 2*t**2 + t**2 - 3*t + 3. Calculate s*z(w) - 7*f(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/9*((-162)\/(-9))\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 - 4*w**3 + 2*w**3 + (-3*w**3 + 184*w - w**3 - 181*w + (2*w - 4*w + 0*w)*(0*w + w**2 + 0*w))*(-1 - 2 + 0) as q*w**2 + p + i*w**3 + y*w and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 368.\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-20))\/((-7)\/(-44) - (-6)\/(-24))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6204 divided by -12?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**8\/1680 + a**7\/525 + 357*a**2. Factor s(j).\nAnswer: -j**4*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*p - 4*o - 10, -4*p + 4*o = -112. Suppose 19*v + 2233 = p*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m - 21*m = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhbb when four letters picked without replacement from {h: 1, y: 1, b: 4, s: 2, p: 1, g: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + -3. Let l = u - -90. Let f = -48.9 + l. Which is the nearest to f? (a) -0.4 (b) 1 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y + 12. Let n(f) = 4*f - 13. Suppose 6*a - 24 = 2*a. Let k(z) = a*i(z) + 5*n(z). Let t be k(-6). Sort -3, -4, t in increasing order.\nAnswer: t, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-6) + -5)*-12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 16 = 3*v, 545*v + 3641 = 5*d + 4841 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 147, 149?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5362348l to millilitres.\nAnswer: 536.2348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000368595044 to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**2\/5 + 144*f + 6480 = 0.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + 4 + sqrt(180)*1 + -4 + (-1*(3*sqrt(180) + sqrt(180)) - sqrt(180) - sqrt(180)))**2.\nAnswer: -120*sqrt(5) + 4504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.066850227\nAnswer: -0.0267400908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 3*b + 6. Let d = -2 - -5. Let w(i) = -i**2 - 5*i + 11. Suppose -45 = 5*n + 4*t, t + 15 = -2*t. What is d*w(r) + n*a(r)?\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 49\/4 + (-3)\/12. What is the units digit of 1 + 64 - a\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 - 186232*z = 0. Calculate z.\nAnswer: -93116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 221. Let g = d - -202.999999909. What is g rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 200*i**2 - 3*i + 3. Let v be s(2). Suppose -5*d = 132 - v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**5 - d + 1. Let w(j) = -3*j**5 - 14*j - 1. Let b(x) = r(x) + w(x). Find the second derivative of b(v) wrt v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 654 and 6.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((990\/675)\/(-11))\/((-2)\/(-3)))\/(3\/(-24))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (720\/(-1200))\/(4\/(-18) - 46\/(-450))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**0\/r))**(-27)*r**(-1\/5)*r**(-6))\/(r**(2\/11)\/((r\/(r\/((r\/r**(2\/17))\/r)))\/r))**(-18\/7) assuming r is positive.\nAnswer: r**(-18709\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - a - 4*a - 237 = 0, -4*a + 96 = b. Suppose -b = -7*d + 91. Solve 18 = d*o - 19*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 4:28 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 358441.2 nanograms in tonnes?\nAnswer: 0.0000000003584412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 117 = 3*w, 21 + 35 = f - w. Suppose 3*s = 6*s + f. Let n = s + 88. Is 26 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:20 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16852*p. Let q(i) = i**2. What is z(q(n))?\nAnswer: -16852*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2153 + -2172 - (1 - (-2 + 2))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 79438.04 decades in centuries?\nAnswer: 7943.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 3\/((-9)\/24). Let h be (-5 + i)*(-1 + 53). Suppose s + 0*s - 3*w - h = 0, 2*w + 298 = 3*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138044 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140553 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*c = -6*c - 26, 2*a - 11 = -5*c. Suppose a*t = 11*t - 27. Suppose t*h - 4*h - 250 = 0. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 11*u + 8)*(0 - 2 + 1).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109107071?\nAnswer: 17, 197, 32579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = -4, -2*x = -r + 3. Let v = 2 + r. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7975\/193 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52\/69 + -2\/23. Let z be 26\/10 + -1 + -1. Let o be (3 - 0)\/((-15)\/(-2)). What is the smallest value in o, z, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -456, -796, -1090, -1314, -1444, -1456, -1326, -1030?\n\"Answer: 4*v**3 - v**2 - 365*v - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 - 3*m**2 - 2*m - 7. Let k be v(3). Suppose 5*f - 1902 = 148. What is the highest common factor of k and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*o + 8 = -132*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 48\/8 + (-1)\/(-1). Let x be (-1)\/2 + h\/(-70). What is the nearest to 1 in x, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -346*s - 12. Let k be q(-6). Let w = k - 1189. Suppose -5*y = -3*r + 2641, 0*y = -r - y + w. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189828811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1252 - 1074 - 956 - 591)*(0*i + 0*i - 1 - 4*i) to the form q + f*i and give f.\nAnswer: 5476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4602236 to three decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0228606 rounded to four decimal places?\nAnswer: 0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-8)\/38) + -2)\/(69 + (-6083)\/88)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (16 - (-14 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/3 + p**4 + 11*p**3\/3 - 17*p**2 + 62*p\/3 - 8 = 0. Calculate p.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 3*j**2 - 3*j + (0*j**2 + 5*j**2 - 3*j**2)*(1 + 2 + 0).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 44. Let p be (s\/8)\/1 - -2. Let n = 387 + -1553\/4. Put n, p, -5 in descending order.\nAnswer: p, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2509075 - 0.153.\nAnswer: -2509075.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7096919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.2, -0.00746, -1\/4 in descending order.\nAnswer: 2\/5, -0.00746, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1291.3 - 1259.3. Put 4, -2, 0.3, 33, b in increasing order.\nAnswer: -2, 0.3, 4, b, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + sqrt(605) + -2*sqrt(605))**2.\nAnswer: 440*sqrt(5) + 3105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 447 + -446. Let y = 99088\/63 - 10526\/7. Let j = y + -69. What is the nearest to x in -2\/15, 3\/13, j?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + z**2 + 10*z + 60. Let a be c(-10). What is the highest common factor of 80 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -5 - (10*(-5)\/10 + 4). Suppose -2*z + 1 = u, 0*u = -4*u - z + 11. Put r, -2, -5, u in increasing order.\nAnswer: -5, -2, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -7*k - 4. Let z(b) = -11*b. Let s be z(k). Suppose 35 = 3*f - 4*g, -5*g - 51 + s = -3*f. Solve 0 = f*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(80) + 1 + -2 + 3 + 1.\nAnswer: 8 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*k - 220*k + 447*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**2 - 7*o + 5. Let f(y) = -6*y**2 - 4790281*y - 2 + 4790284*y + 2*y**2. Determine -5*f(x) - 2*r(x).\nAnswer: 4*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:54 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose -4*g + 2*t + 26 = 0, -2*g - j - 10 = 4*t. Let h(x) = 6*x**2 - g*x**2 - 4*x**2. Let n(c) = -3*c**2. Determine n(h(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**3 + 1539*u**2 - 189*u - 13 wrt u.\nAnswer: -12*u + 3078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 - 3?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23145 + 1?\nAnswer: -23144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 + -34 + 38?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1671880)\/(-30708)*45\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(1\/10))*r**(1\/4)*r\/(r\/((r*r**(-2))\/r)*r*r)*r*r**5 assuming r is positive.\nAnswer: r**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + x = 30 - 18, 5*g + 2*x + 67 = 0. Let p(o) = 7*o + 91. Let i be p(g). Solve i = -u - 14 + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 317*f - 164*f**2 + 325*f + 7 - 643*f - 4 to the form d*f**2 + l + t*f and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.07, 3, -16, 7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 7*q**6\/60 - q**5\/30 - q**4\/12 - q**3\/6 + 17*q**2. Let m(g) = -1 + 8 - 11 + g - 1. Let j be m(4). Calculate u(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 1\/2*z**3 + 1\/3*z**4 + 0 + 0*z - 4*z**2. Differentiate t(o) wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2721 and -0.1.\nAnswer: 0.02721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 15. Let i(c) = -c**2 - 5*c + 8. Let q be i(y). Suppose 20 - 68 = -q*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 6*z + 4. Let t(n) = -3 + 2*n**2 - 7*n + 0*n - 2. Suppose -36 = -4*l - 12. Let w = l - 2. Determine w*t(i) + 5*p(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(637) + (2 + (sqrt(637)*-2)**2 - sqrt(637)))*1 - ((-1 + sqrt(117) + -5)*-5*2)**2.\nAnswer: -12754 + 3600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.96 in 3\/2, -19, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 4. Let a be c(0). Suppose -2*n = 2 + a. Let p(v) = v. Let q be p(-1). What is the biggest value in q, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129265 by 1255.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(304)*-1 + -4)**2*-3.\nAnswer: -924 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45403 greater than or equal to -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8 = -5*b - 5*q, -5*b + 4 = -2*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + b - 4 = -c, -c + 5*b = 26. Suppose 5*y - y + 4 = 0. Is c at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155 + 147 - 205) + 1 + -6?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 13 - 0) + (-205 - -213)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 730*q**2 - 2985*q + 2250.\nAnswer: 5*(q - 3)*(q - 1)*(q + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(1\/(-9) - 92\/(-18)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1001111000?\nAnswer: 1001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21241441, 21241430, 21241419, 21241408, 21241397?\n\"Answer: -11*m + 21241452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/5 - 1207708*h**2\/5 + 2415456*h.\nAnswer: -2*h*(h - 10)*(h + 603864)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 104, 165, 230, 299, 372?\n\"Answer: 2*m**2 + 51*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0\/2 + 10. Let h = -2 + 2. Suppose 5*a - 4*n - z = 0, 4*n + h = -4. Is a <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -516\/6647 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 419\/((-644841)\/(-114)) + (-22)\/216?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 580? (a) -1 (b) 4 (c) -2 (d) -159 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 78 = -234 - 132 - 368 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50084465 and 11647550.\nAnswer: 500844650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybyybyyyyb. What is prob of sequence yby?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.8 (b) -1 (c) -22 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 + 50 + (-7 + 13 - 9) + 3?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycnc when four letters picked without replacement from nycyccccycnyy?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19401, 25570, 31739, 37908?\n\"Answer: 6169*f + 13232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5332113 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41877416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(396)*-6*3 + 3 + (sqrt(88) + ((sqrt(88) - (sqrt(88) + sqrt(88)*-1 + sqrt(88)))*3 - sqrt(88)))\/sqrt(8).\nAnswer: -108*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*o + 2*o + 15, 2*o + 15 = 3*l. Suppose 0 = 4*h - 2*h + 4*u + 4, 6 = -h - l*u. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36257155?\nAnswer: 5, 11, 659221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 32, -1\/3, -0.295, 4, 8?\nAnswer: -0.295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x + 3. Let h(m) = 11*m + 6. Let d(v) = 3*h(v) - 5*q(v). What is the derivative of d(u) wrt u?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + 31. Calculate the remainder when 1 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.51 * 2864.\nAnswer: 84516.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19712.4 times -0.3\nAnswer: 5913.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43771, 43775, 43783, 43795, 43811?\n\"Answer: 2*s**2 - 2*s + 43771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -227 + 226.8. Let j = 0.5 - 2.5. Sort m, j, 0.1 in descending order.\nAnswer: 0.1, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 47*o - 43*o + 156*o - 63*o - 6.\nAnswer: 3*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + ((sqrt(224)\/sqrt(4) - sqrt(56))*-5*-4)\/(1*sqrt(1152)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1.8, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.1 + 16. Let z be 10\/6*4\/30. Let r = -74\/7 - -236\/21. Which is the nearest to z? (a) -4 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5 (b) 3\/7 (c) -10\/481\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*j*m**2 - 12*d*j*m - 3*d*j - 22*d*m**2 - 14*d*m + d - 12*j*m**2 + 2*j*m + m**2 wrt m.\nAnswer: -2*d*j - 44*d - 24*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -78429991080 - 0.8?\nAnswer: -78429991080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 8*m**2 + 5*m - 10. Let a be g(-7). Which is greater: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*6 + sqrt(320)*-2 + sqrt(5).\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3292 - -3309. Let o(f) = -f**3 + 6*f**2 - 5*f - 3. What is the remainder when l is divided by o(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 16*j - 14. Solve j*r = n - 1, r = 3*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20010200221220 (base 3) in base 13?\nAnswer: -8a26bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3417 + 0.1417. Sort -3\/5, i, -1, 1\/55, 5 in descending order.\nAnswer: 5, 1\/55, i, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -1\/300, -3\/7?\nAnswer: -1\/300","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*c = -5, 5*x - 47 = c - 8. Solve -i + 2 = -5*s, -s - 2*s + x = 4*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 42. Let i = -6 + q. Let n = i - 3. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261*i**3*w**3 - 64*i**3*w - i*w**3 - 12*i*w**2 + 8*w**3 - 6*w wrt i.\nAnswer: -1566*i*w**3 - 384*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 15. Let y(u) = -u**2 - 6*u + 12. Let o be y(j). Suppose 5*t + o = 3*t. Let f(l) = -l - 6. What is f(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000130242 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 7 - (-83 - -39)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (828\/117 + -7)\/(4\/(-8)). Let l = 0 - 0.4. Let i = 0.3 + l. Which is the nearest to i? (a) r (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 9*b + 4. What are the prime factors of s(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3917940 by -391794.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 10. Let k = 352 + -350. Suppose -b + 11 = 4*i, k = -2*i + 2*b - m. Solve -t = -2*q + 8, 0*q + i*q - 12 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.671 in 5, -5, -8, 15, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 108*s + 2521. Calculate the remainder when d(-14) is divided by 142.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c + 3. Suppose 0 = -5*u + 15. Let s(f) = -f**3 + 9*f**2 - 6*f + 8. What is the least common multiple of s(8) and o(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2032502185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**2 - 6*t**2 + 3*t**3 + 2*t - 4*t**2 + 3*t**4 + 4 as g + i*t**2 + p*t**4 + s*t + j*t**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.4 + -21.3. Suppose 0 = -4*r + 8, r - 14 = -0*j - 2*j. Suppose 2*u + 4*l = 14, -l - 8 = -3*u + j. Which is the nearest to -5? (a) y (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 820 - 0 - (-2 - (-5 - -8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, o: 2, d: 3, p: 9, f: 1}. Give prob of sequence fdz.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2028*y**2\/5 - 468*y + 135 = 0.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*n = a + 13, 3*n - 17 = a. Let b be a*(3 + (-3 - -2)). Let m(d) = -d**3 - 5*d**2 - 6*d - 6. List the prime factors of m(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 127. Suppose -4*s + 277 = 3*z, y*s + 469 = 5*z + 3*s. Let j = 111 - z. Calculate the remainder when 30 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70595, 70570, 70539, 70502, 70459?\nAnswer: 70410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, q: 1, i: 7, d: 1, y: 2}. What is prob of sequence id?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -22 + 38 + -45 + (1 - -43)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3708885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.13, -5, 22, 0 in descending order.\nAnswer: 22, 0.2, 0.13, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouuu when four letters picked without replacement from uuuuuuuuuuuuuuuuou.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(171) - sqrt(171))**2 + (1*sqrt(171))**2*1 + -3.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -24. Let x = 822 + -748. Calculate the remainder when x is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.133 - 0.867. Let k = 423 - 2958\/7. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278713 divided by 59?\nAnswer: 278713\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 346 = 69*m - 90 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5119424 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(192) - (sqrt(192) - sqrt(192)*3) - sqrt(192)) - sqrt(192)) + -5*(sqrt(192)*4)**2.\nAnswer: -15360 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3456, -2048, 3, 0, -1, -3 in ascending order.\nAnswer: -2048, -3, -1, 0, 3, 3456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1901*c + c - 665*c - 57*c - 707*c.\nAnswer: -3329*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1043*h**3 - h**2 + h. Let k be o(1). Suppose 9*r - 10*r + k = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 12 = -4*o, -3*o + 4*d - 3*d + 10 = 0. Suppose -y + 3*u = -37, o*u + 29 = y + 3*u. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0051 > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1062 - 1045. Suppose 3*u = t + 403, 2*u - 107 = -2*t + 175. Calculate the greatest common factor of u and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3107 + 5052. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/24 + l**5\/20 - l**4\/8 + l**3\/6 + 622*l**2. Let b(w) = 4*w**3 - 2*w**2 + 2*w - 1. Calculate -3*b(u) - 2*p(u).\nAnswer: -2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 20. Suppose g - l = 3*l + 10, -5*g - 3*l + 4 = 0. Suppose -4 = c + 3*k, g*c + k + 29 = 2*k. Which is bigger: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 566 - 4375 = 38571. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 16*z**2 + 23*z + 120. Give s(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 1101?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**3 + 15*h**2 + 860*h + 10. Let v(n) = -9*n**3 + 24*n**2 + 1291*n + 16. Give -5*v(f) + 8*z(f).\nAnswer: -3*f**3 + 425*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -5, 0.\nAnswer: -9, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((88\/(-198))\/(200\/(-72) - (-3)\/1))\/11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 5705117?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlwwxlxx. What is prob of picking 2 w, 1 x, and 1 l?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let k = 61.4 + -61. What is the third biggest value in -1\/3, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52 and -349.\nAnswer: 18148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b + 11 - 17 + 20*b to the form m*b + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 657, 657, 671, 705?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -477.024?\nAnswer: 190.8096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p - 189. Let o(z) = 2*z**2. Determine m(o(r)).\nAnswer: 28*r**2 - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2. Let w(h) = -1. Let t(b) = -6*o(b) + 11*w(b). Let d(g) be the first derivative of g**2\/2 - 157. Determine -d(q) - 2*t(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-37)\/(629\/34) + 34\/41. Do -2 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25862651 is divided by 994717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1143, 759, 375, -9?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millisecond in microseconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228884971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 27 = 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxtxtttttttt. Give prob of picking 2 x.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3648 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 306414451 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = n - 10, 55*a - 50*a = 3*n - 10. Solve -11*p - p = -n*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 3. What is the tens digit of 25 - (w - (-2 + 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - w**2 + w - 1. Let p(d) = 4*d**3 - 3*d**2 + 5*d - 2. Let k(y) = p(y) - 3*x(y). Give k(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 3109216759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2. Let h(d) be the first derivative of -7*d**5\/15 + 5*d**3 - 31. Let j(l) be the third derivative of h(l). Calculate j(u(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 + 6 = 0. Let n = 8 - g. Solve -2*q - 4*j - 2 = -j, 4*q + 10 = -n*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14484 is divided by 1326?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7988, 16077, 24166, 32255?\n\"Answer: 8089*f - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, k: 4}. Give prob of picking 1 p and 1 k.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2. Let f(p) be the third derivative of 0*p**3 - 11\/24*p**4 + 0 + 28*p**2 + 0*p. What is f(s(c))?\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2147\/3198 + 5\/1066. What is the second biggest value in 54, -2\/19, l, 0.5, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 35 = -2*s. Suppose y - 4*n - s = 15, y = -4*n - 18. Find the second derivative of 82 - y*r + 8*r**2 - 82 wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660, 652, 644, 636, 628, 620?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 430*u**3 - 190665*u**2 + 190665*u**2 - u - 1103*u**3.\nAnswer: -673*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 43, 1\/3, -12\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36844 + 36848. Solve 3*u + m + 6 = 0, 4*m + 8 = -d*u - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(3\/8))**(1\/9)*h**(4\/9)*(h**(-8)*h)\/h assuming h is positive.\nAnswer: h**(-539\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (618\/412)\/(((-1)\/(-3))\/((-570)\/(-270))).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 6 - 2446*k + 27 to s*k + x and give s.\nAnswer: -2446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8472888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -10*d - 3. Let b be j(-2). Solve 0 = 5*u + 3 + b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-221)*-6*42029\/183.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0091 or -31\/19761?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 6:09 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -z**3 + 37622*z**2 + 119987 wrt z?\nAnswer: -3*z**2 + 75244*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 4\/7, -5, -2 in decreasing order.\nAnswer: 4\/7, -1, -2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19006.41 take away 1?\nAnswer: -19007.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2, -4, -1719, 0.041, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*i**3*t**2*y**3 + 2*i**3*y**3 + 2*i**3*y - 189*i**2*t**2*y - i*t**2 + t*y**3 wrt i.\nAnswer: 144*t**2*y**3 + 12*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 11*g**2 + 12*g - 2. What is the tens digit of b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2085 + 2059. What is the second biggest value in q, 10, -4, 2\/21, -2\/9?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 118*l**2 - 34862*l - 69734. Determine w(-2).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174901968 - 108527968. What is c rounded to the nearest one million?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 59199*u - 3 = 59197*u, 2*o + 2 = 3*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from {i: 1, v: 1, m: 2, q: 1, y: 1, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41\/3 + 124\/9. Let r(p) be the second derivative of -1\/21*p**7 + 1\/6*p**5 + 5*p + x*p**4 - 4\/45*p**6 + 0*p**3 + 0 + 0*p**2. Solve r(i) = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -1703?\nAnswer: 1708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3393)\/(-145) + -22)*-10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 + -78. Let o = p + -5. Suppose q + u - 2 = 0, 2*q + 6*u - u = -2. Solve -q*r = 5*j - o, -3*j - r + 11 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4158 and 3366.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -23895.77\nAnswer: -119478.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -19*n, 3*l - 1044 = 3*n. Calculate the highest common factor of 116 and l.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586320 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 21*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -110011110110001110?\nAnswer: 110011110110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12))\/sqrt(4) + 1.\nAnswer: -2*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -160\/7, 1\/4, 5\/12 in ascending order.\nAnswer: -160\/7, 1\/4, 5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*(-1)\/(-2))\/((-14)\/2). Let v(l) = l**2 - 2*l - 1. Let k be v(-1). Suppose w = -k*p - p + 276. What is the greatest common divisor of p and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1665011 and 386.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/23 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*r = -18 - 2, -27 = -3*f - 5*r. Suppose 22 = 6*g - f*g. Let u(d) = -2*d**2 + 3*d - 4. Let v(b) = 6*b**2 - 8*b + 11. Calculate g*u(o) + 4*v(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 10*k**2 + 309*k - 547. Calculate d(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 633, -4, -1 in ascending order.\nAnswer: -4, -1, 5, 633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -53. Suppose 5*a - 7 - 4 = -3*r, r - 3*a = -g. Let m be (22\/(-4))\/(r\/4). Which is smaller: -10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333553?\nAnswer: 13, 19, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4430*l**3*t + 5*l**3 + l**2*t + l*t + 19275 wrt l.\nAnswer: -26580*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 22.1.\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -38. Let g(r) = -r**3 + r**2 - r - 5. Let f be g(-3). Let l = f - 36. Put s, l, -15 in descending order.\nAnswer: s, l, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44374770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/27)\/(-1)*276\/184.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3028, -35, -1 in decreasing order.\nAnswer: 3028, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a**2 + 15 + 40*a + 54 - 69 as u + w*a + f*a**2 and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(4\/3)*f\/f**20 assuming f is positive.\nAnswer: f**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15719 - 1889 = 0. Let d = t - 2368. Let l = -983 + d. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31008 and 552.\nAnswer: 713184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 1378*r**2 + 236670*r - 238050.\nAnswer: 2*(r - 1)*(r + 345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 8*z - 8. Let p be 1*(-2755 + 2) + z. Let k = -9557 - p. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315 + -314.95. Let d = 1.523 - -0.027. Let t = h + d. Round t to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/((-5)\/90). Let u = c + -1. Let m be u\/1 + -2 - 1. Calculate the greatest common divisor of m and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 13) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6 + 1565\/(-36). Let n = z - -191\/4. Find the common denominator of -47\/5 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Let s(o) = o**2 + o - 2. Let n be s(l). Let d(j) = n - 2 + j - 3. Calculate d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 56, 81, 104, 125?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q - 51*q + 2518272 = 12*q. What are the prime factors of q?\nAnswer: 2, 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**5 + 15*z**5 + 3*z**5 + (21*z**3 - 3*z**3 + 4*z**3)*(-2 + 3*z**2 + 2)*(4 - 4 + 2).\nAnswer: 145*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 259572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 11:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 24 = -2*x, -5*x - 32 = -4*r - 3*x. Sort -1, -2, r.\nAnswer: -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-11 - ((1 - 20) + 16)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -307*u - 3. Let n be i(1). Let r = 166 + n. Let m = r - -270. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25577 in 0.2, 1, 132, 4, 6\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 - (0 + 7 + (-6 - -3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5935.721 hours in minutes?\nAnswer: 356143.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsrlrllsddldddllld. Give prob of sequence llsl.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from {h: 5, o: 3, c: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 664 or 663?\nAnswer: 664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (60 - (-61 - -21)) - -39.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 1, -26, 1\/45, 2\/25, -1\/3 in ascending order.\nAnswer: -26, -1\/3, 1\/45, 2\/25, 1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/3 + 54536*b\/3 - 72736.\nAnswer: 4*(b - 4)*(b + 13638)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 196 - 25*w**2 + 23*w**2 as t*w + u*w**2 + q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3180089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/10 and 61\/164?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327502485?\nAnswer: 3, 5, 7277833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2660, 5321, 7982, 10643, 13304, 15965?\nAnswer: 18626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(700) - 2*sqrt(700)*5) + ((sqrt(700) - sqrt(700)*-1)*-4 - sqrt(700)) + sqrt(700) + -2)**2.\nAnswer: 340*sqrt(7) + 202301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 650095 divided by 5\nAnswer: 130019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*r - 131 + 2*r - 275*r**2 - 66 - 108*r**2 - 9*r wrt r.\nAnswer: -766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3610 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: Sort 0.07, -11, -1, 6, 2, 0.5 in increasing order.\nAnswer: -11, -1, 0.07, 0.5, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48483366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 2\/5, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0789 to 3 dps.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 460662 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (203\/14 - 3)*(4 + -2). Calculate the greatest common divisor of 299 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -71, -107, -143, -179, -215?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-64)\/(-2800))\/((-2)\/5). Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 + 2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4720*t + 15. Let c(v) = 2362*v - 6. Calculate -5*c(y) - 2*f(y).\nAnswer: -2370*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Suppose o - c - 6 = 3*c, -p = -3*o - 3*c. Suppose 2*h + 168 = -a, 2*h + o*a + 172 = -a. What is h rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 14*h**2 - 13*h + 4. Let q be a(-13). Let s be (-30)\/q*(-7320)\/9. Round s to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10973.4893 + 10973. Let j = -80.8307 + a. Let s = 81 + j. Round s to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 + 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**4 - 53*b**3 - 168*b**2 - 104*b - 4. Let a(j) = j**4 + 2*j**3 + 3*j**2 - j + 1. Let m(n) = -4*a(n) - u(n). Determine s so that m(s) = 0.\nAnswer: -2, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212450 and 139300?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228799?\nAnswer: 228799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1700962183.\nAnswer: 17, 100056599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6 + 6*j**2 + 0*j**2.\nAnswer: 6*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*v**2 - 1\/2*v + 0 = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0 - 4 + 3*h**3 + 4 + 3*h. Let u be k(-2). Calculate the remainder when 13 is divided by ((-45)\/u)\/((-1)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 1, -6, -15, -26, -39, -54?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*u + 192*u + 122*u + 186*u - 91*u as r + s*u and give s.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2044*0.2.\nAnswer: -0.04088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3927.\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 12 - 4 - a + 3*a - 6 + a**2. Let k(n) = 0*n**2 + 2*n**2 + 3*n - n**2 + 3. What is 6*i(w) - 4*k(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1036 + 1036 - 171348*v.\nAnswer: -171348*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 106 = 30. Suppose -2*t + 92 = 5*m + t, 0 = 2*m + 4*t - f. Let o(v) = v**2 - 13*v - 34. What is the tens digit of o(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, 1.4, -0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 17*z**2 + 18*z**2 + 5 + 9*z - 46*z**2 + 3*z**2 + 13*z**2. Determine f(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 171 = -1078. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975\/1820*(-96)\/24.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9313, 37567, 84681, 150661, 235513?\n\"Answer: i**3 + 9424*i**2 - 25*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 999 and 103187709.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 58*t - 976. What is the smallest common multiple of 126 and z(19)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 271 - -9?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/(-8)*(-113 + 1). Let c(w) = w - 10. Let o be c(13). Suppose n + o*n = d. What is the highest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -9 + 21. Solve -h + 16 = r*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0*h - 1\/15*h**5 + 0*h**4 + 0 + 0*h**3 - 9*h**2. Let y(u) = u**2. Calculate y(c(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457 by -299.\nAnswer: 457\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6570 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((-768)\/144 + (-3)\/(-18)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7476626 take away 9?\nAnswer: -7476635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176987 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 - -174. Let g = x - 400. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -3. Let k(p) = 4*p - 17. Let h be k(14). Let s = h + r. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 29*m - 78. Let y be d(-26). Solve 0 = w - y*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 8*v**2 - 11*v - 51. Let z be y(-7). Let n(g) = 0 - 79*g + 142*g - z*g + 0. Let d(k) = -11*k**2. Calculate d(n(l)).\nAnswer: -1584*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -38*w**5\/5 + 5*w**3\/3 + 14*w + 355. What is the first derivative of q(m) wrt m?\nAnswer: -152*m**3 + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54366*0.05\nAnswer: 2718.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10093939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.32 (b) 1 (c) 0.3 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647555878 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in 10\/3, 13, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19768 and 0.038.\nAnswer: 0.00751184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2160)\/(-1404))\/((-2)\/13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.81774537 minus -11.03?\nAnswer: 53.84774537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1401, -6323, -14533, -26037, -40841, -58951?\nAnswer: -80373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -3)*7\/2. Let q be (0 - -3) + 393\/j. Let s = 59 - q. Which is the closest to 1\/3? (a) s (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (768\/896)\/((-50)\/35).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142714 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -342?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 * -3.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5539858 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - v**2 + 3. Let u be l(0). Suppose 3*w - 3*p = w - 5, w + 4*p = u. List the prime factors of w\/(((-15)\/6)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5.07485\nAnswer: 1.522455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 159 = 3*z, 3*w + 3*z = 67 + 92. Suppose 0 = 5*j - 112 - w. Calculate the remainder when j is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 41 - (0 - -4). Let s = c + -29. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3 (c) 50.2 (d) 0.3 (e) -1\/4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7305 a factor of 7291333824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 8*d + 2. Let a be 0\/d*5\/(-10). Solve a = -5*s + 5 - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83292 is divided by 20748?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -34432.\nAnswer: 3\/8608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**2 - 1. Suppose t = -3*t - 4. Let j be m(t). Solve i + 3*l - j = -2*i, -5*l + 14 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51083751 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1255 = -3*s + 12472, -2*s = 4*i + 14938. Is (-4)\/(-28) - (-3)\/((-42)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944833.3 rounded to the nearest one thousand?\nAnswer: 945000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (8 + -22 - -15 - 11) - -54.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let y(i) be the first derivative of i**3\/3 + 2. Determine y(a(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*l**2 - 68*l**2 + 197*l**2 - 1752*l**3.\nAnswer: -1752*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpwowvovowvwowvvvvvo. Give prob of sequence pov.\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8925606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 4826 - 6020 = -503*v. Sort 4, -11, v, 0.5.\nAnswer: -11, 0.5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4528 times -1452?\nAnswer: 6574656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a + -58?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = 6*a. Suppose 3*l - a*l = 2. Solve -l*u = 5*h + 5 - 15, -u = 4*h - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/65 - (-216)\/52. Suppose -3*m = -5*w + 45, 4*w - a*m - 12 = 24. What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) + (-1 - 21\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 37986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137\/3 + 45. Let q = 0.0679 - 0.0679. Which is the nearest to 0? (a) -0.4 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1.1, -1\/2, 3\/5 in ascending order.\nAnswer: -1.1, -1\/2, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44326*y*z**3 + 197*y*z**2 - 2*y*z + 2*y + 32*z**3 - 232*z**2 - 2 wrt z?\nAnswer: 265956*y + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 9, r: 1}. Give prob of sequence tg.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*s - 133 = -2*s, 4*b - 580 = -4*s. List the prime factors of b.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 10:40 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 30*c**2 + 351*c - 941. Calculate s(39).\nAnswer: -941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1805 is divided by 529.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y + 2*y + 0 - 1. Suppose 4 = -d - r, -3*d = -0*d + 5*r + 14. Let s(z) = 2*z. What is d*s(h) - 2*k(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 504 - 199 = -2*t, 2*t - 388 = -4*x. Does 48 divide (24\/(-14))\/((x\/(-504))\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 26, 4, -2\/45, 0.8?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153588*b + 63431*b + 141526*b - 110886*b.\nAnswer: 247659*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x + 188. Does 8 divide u(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2793 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:38 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*l - 7*l. Suppose -t = -5*d + 1525, 0 = l*d - 0*d - 3*t - 1220. List the prime factors of d.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from hdhil?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -12*j**2. Let a(r) = 548098*r. Calculate a(u(s)).\nAnswer: -6577176*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 623*l + 65 - 71 - 146*l + 25 + 22.\nAnswer: 477*l + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2461, 4920, 7379, 9838?\nAnswer: 12297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 1393*a**5\/10 - 136*a**4\/3 - a - 1038. What is the third derivative of v(x) wrt x?\nAnswer: 16716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)*-2)\/sqrt(3)*6 - ((sqrt(105) + (sqrt(105) - (sqrt(105)*-2 - sqrt(105))))\/sqrt(3))\/(sqrt(84)\/sqrt(3)).\nAnswer: -149*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-53.47\nAnswer: -53.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10859979?\nAnswer: 3, 13, 23, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(171)\/sqrt(225) + (2 + sqrt(76)\/sqrt(4) - sqrt(19)))*-4 + -4).\nAnswer: 8*sqrt(19)\/5 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-20)*k*k*k**(-5)\/k)**(2\/91) assuming k is positive.\nAnswer: k**(34\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62139 and 15?\nAnswer: 310695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.209367mm to meters.\nAnswer: 0.007209367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000236485059 rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, 0, 8\/27?\nAnswer: 8\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3) - 14\/(-3). Solve 5*t = 3*a + 22, t - i*a - 3 = -3*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76919, -76937, -76961, -76991?\n\"Answer: -3*u**2 - 9*u - 76907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -0.046543.\nAnswer: 0.246543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-220)\/18 + 2\/9. Let d be (-1*1)\/((-4)\/b). Let o(t) = -t + 1. Calculate o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6516 - 6514 + 13028 - 672*w)*(0 - 3 + 2) to the form a + h*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-12))\/(1 - 2). What is the second biggest value in -5\/2, -8, v?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4 + 64272*d**3 - 516039660*d**2 - 5169333968*d + 20150623662 = 0. What is d?\nAnswer: -13, 3, 16073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(13) + -1 - sqrt(13)) + 4 - sqrt(13)) + -3)*3)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -22*u + 87. Let l be z(10). Let k = l - -257. Calculate the highest common factor of 62 and k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39594 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5055 and 1056825?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030125124 rounded to 5 dps?\nAnswer: 0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 3*m + 0*m. Let y(h) = -26*h - 21. Let z(q) = 180*q + 140. Let t(s) = 20*y(s) + 3*z(s). Give t(i(u)).\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -220729836 divided by -2164018?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1416 by 5.\nAnswer: -1416\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195125071252 + -0.03.\nAnswer: 195125071251.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*l - 415*l - 164*l**2 + 133*l + 163 + 136*l.\nAnswer: -164*l**2 - 7*l + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3008 and 33652?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10331 (base 4) in base 5?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1436 - -1440. Which is the second smallest value? (a) y (b) 62\/9 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 10 = -64*o + 61*o, m + 3*o + 13 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189058620?\nAnswer: 2, 3, 5, 23, 136999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -55*w. Let y(c) = -c - 4. Let g(s) = 2*s + 6. Let v(n) = 2*g(n) + 3*y(n). Determine v(i(b)).\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 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 z be ((-3)\/(-2))\/((-6)\/2504). Let v = -1216 - z. Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, h: 5, c: 2}. Give prob of sequence hg.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 175 (b) 1\/3 (c) -4 (d) 2\/451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 n when four letters picked without replacement from znnnnzxnnnnxnn.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r + 227 = 62*r - w, -172 = -4*r + 4*w. What is the remainder when 595 is divided by r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 723 and 6?\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 + -1.1. Let h(n) = n**3 - n + 3. Let b be h(0). Let x = 4 - 4.1. What is the nearest to x in -1\/3, b, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 4*l - 3. Let y be a(4). Let o = y + 14\/5. What is the closest to 1 in 4, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12926916 and 17235888?\nAnswer: 51707664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190561 is divided by 2474.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/5)\/(32\/200)*2\/5. Let z = -0.3 + 0.7. What is the nearest to u in z, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f9135 - 5?\nAnswer: 8f9130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 10:05 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -309. Let z(g) = g - 1236. Let x(k) = -4*l(k) + z(k). Let v(d) be the third derivative of -5*d**4\/24 + d**2. Calculate x(v(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 102020020202?\nAnswer: -102020020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*x + 5*o, x = -x - 4*o + 6. Suppose 0 = x*w - 5 - 85. Solve 5*q = -3*l - 24 - 2, -3*q - w = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 3*k**3 + 0*k**3)*(0*k - k + 0*k) - 264*k**4 - 205*k**4 - 99*k**4.\nAnswer: -567*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**5 + 7407*p**3 - 2*p**2 + 356*p + 37 wrt p.\nAnswer: 40*p**3 + 44442*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 16 = -23. Factor -3\/5*r - 12\/5*r**2 + 0 - 12\/5*r**4 - 3\/5*r**5 - 18\/5*r**v.\nAnswer: -3*r*(r + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Suppose -t = 5*l + 8. What is the remainder when 1 is divided by l\/(((-4)\/1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -901258 = -6*g + 2*g + p, -3*g + 2*p + 675941 = 0. Suppose -g = 3*b + 3*i, -3*b - 300395 = b - i. What is b rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(32) + 4)**2 + -3*sqrt(24)\/(sqrt(36)\/sqrt(3)).\nAnswer: 29*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6172*s - 36 = -6163*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529521 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -5\/84*u**8 + 4\/105*u**7 + 0*u + 0*u**3 + 83*u**2 + 0*u**4 + 0*u**6 + 0*u**5 - 2. Factor m(g).\nAnswer: -4*g**4*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*a + 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - (-2 - -8)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 11 + 13 = 0. Find the third derivative of a**2 - m*a**3 - 5*a**3 - 9*a**3 + a**2 wrt a.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/45 and -5\/66183.\nAnswer: 992745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-12)\/3))\/((-44)\/(-66)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14352478.\nAnswer: 2, 7, 277, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 3:43 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 6 = a, y - 4*y - 4*a + 19 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5\/5 - 49*t**4\/5 - 407*t**3\/5 - 671*t**2\/5 - 312*t\/5 = 0.\nAnswer: -39, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Let u = p + 12. What is the remainder when 67 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 1. Let c(t) = 10*t**2 + 15. Let b(r) = -105*r**3 + r**2 + r - 1. Let l be b(1). Let x = l + 89. Give x*y(w) + c(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r + 25 = 0. Suppose -r*l + 9*l - 176 = 0. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 7*f - 10, -m + 2*f + 120 = 0. Calculate the highest common divisor of 696 and m.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 + 189*j - 387. Determine q(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1117? (a) 0 (b) -3 (c) 0.5 (d) -0.087\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16130*i**3 - 104248 with respect to i.\nAnswer: -48390*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - a2530b?\nAnswer: -a25308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 10110211?\nAnswer: 10110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 2464?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r + 3*r + 2*r)*(-3*r + 5*r - 3*r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 4*d**3 + 61*d**2 - 424*d + 720.\nAnswer: -(d - 5)*(d - 4)**2*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = f - 5*f. Let o = -127 - -181. What is the remainder when o is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m - 1. What is the units digit of n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2. Let l(u) = -18632478*u. What is c(l(s))?\nAnswer: 347169236420484*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983871 is divided by 180.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29302 or -849750\/29?\nAnswer: -849750\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -932*i + 1869*i + 3780*i**3 - 3721*i**3 - 937*i.\nAnswer: 59*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - k**4 + 5*k**4 + (0*k + 0*k + 2*k**3)*(-4*k + 4*k + 2*k) + 2*k**4 + k - k + 64*k**4 + 2 - 2 + k**2 - k**2 - k**4 - k**4 + 2*k**3 - 2*k**3.\nAnswer: 70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 7:07 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3857224?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - h**4 - 2*h**4)*(0 + 3 + 14).\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 0*l**2 - 5*l**2. Let k(o) = -9*o**2 + 12*o**2 - 4*o**2. Calculate j(k(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.98 + 0.02. Let f = -10 + s. Which is the nearest to 0.3? (a) -1 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95649186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 366 - 363. Let u(m) be the first derivative of 0*m**s - 4 + 0*m**2 - 8*m + 3\/2*m**4. What is the derivative of u(w) wrt w?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 710.2, 35, 3\/5, -3, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 68*l + 1491. What is the smallest common multiple of 15 and k(-27)?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6323000 - 2?\nAnswer: -6323002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k - 2 + 0*k)*(0 - 3*k + 0 + (1 - 1 - k)*(0 - 1 + 2) - k + 5*k - 2*k).\nAnswer: 2*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/12 + 2*l**3\/3 + l**2\/2 - 30*l + 11. Let j(t) be the first derivative of m(t). What is j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-27) - (-129)\/27. Suppose -3*p + 9 = -t*w, -3*p + 8*w + 9 = 5*w. Solve 0 = 3*u - 2 - 7, -2*u = p*x - 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-150)*5*(-180)\/(-160)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 18233108*w**2\/3 - 83111538601805*w\/3 - 166223150136050\/3.\nAnswer: -(w - 9116555)**2*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -11*l**3 - l**2 - l + 1. What is g(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 16*y - 10. Let g be t(15). Solve g*z**3 + 94 + 336*z - 276*z + 50*z**2 - 454 = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = -4*u + 32, -5*t = 10. Calculate the remainder when 61 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1, 69 in ascending order.\nAnswer: -3, -2, -1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11695231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2112010*k**2*v**2 + 14*k**2 - 27573*k*v wrt v?\nAnswer: -4224020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2)\/10 + 2. Suppose 6 + s = 4*p. Let y = -48 - -52. Solve -2 = p*r + y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u - 98. Let j be o(-9). Put -4, -2, j in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4142168 (base 9) to base 14.\nAnswer: -418510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-35)\/315).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttctttttttctttttttt. What is prob of sequence cttc?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*(5 + (sqrt(1008)*-1 - sqrt(1008))) - (1 + -2*sqrt(1008)*2))**2.\nAnswer: -3456*sqrt(7) + 36866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -20165287493?\nAnswer: -20165287495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -23. Suppose t - g + 21 = 0. Let o = 11 + t. Are o and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7124 and 4.\nAnswer: 7124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*s + 5*s. Suppose -s*g + 25 = 2*g. Let p = 0.4843 - -0.0157. Which is the third smallest value? (a) g (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 11*d**2 + 15779*d + 204805. Calculate k(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i + 455 = 608. Suppose 5*y = j - 20, -27 = 5*j + 5*y - 7. Solve j = -2*n + 5 + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156.15 + 156. Let z = -0.15000068 - a. Round z to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/3 + 49*n**2\/2 + 21*n. Let b be x(-21). What is the highest common divisor of b and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*l + 29. Let h = -162 + 158. Which is the second smallest value? (a) 0.42 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 + 14.352.\nAnswer: 14.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.084 (b) 5 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {e: 10, x: 1, b: 2, i: 6, j: 1}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 717 = -265. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*a**3*x**2 + 83*a**3 + 4731*a**2*x**2 + a**2*x wrt a?\nAnswer: 96*x**2 + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 12) in base 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 922*r**2*u**4 - r**2*u**3 - 13*r**2*u**2 - r**2 + 18*u wrt u.\nAnswer: 22128*r**2*u - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 5*r**2 - 23*r - 4. Suppose 2*z + z + 3*y = 42, y = -2. Calculate the least common multiple of o(8) and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -26\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.8 + -6.8. What is the closest to -0.1 in x, -1, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 6, 17, 58, 141, 278?\n\"Answer: 2*y**3 - 3*y**2 - 12*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/5)\/b**(-6)*(((b*b*b\/(b**(-1\/2)\/b))\/b)\/b)\/(b\/((b*b*b**(-1))\/b)) assuming b is positive.\nAnswer: b**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3619)\/(-66) - ((-3)\/18)\/1. Let a = -9 + 24. Suppose -a = j - r. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005555431 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j**(2\/31)\/j)*j)*j)\/j**(4\/7)*j**(-11)*j**(-9)\/j*j assuming j is positive.\nAnswer: j**(-4450\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -23 (b) 0.03 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.6 times -4?\nAnswer: -494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11331302103 - -1?\nAnswer: 11331302110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = v + 2, 4*w = -v - 0*v - 8. Suppose -4*y + 18 + 6 = v. Suppose -y = -5*q + 14. Let i(a) = -a**2 + a + 5. What is i(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/88649 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.187, -0.09, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8260.2353 - -7.75?\nAnswer: -8252.4853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103466 by -6.\nAnswer: 51733\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x**2 - 3*x - 2. Suppose -2*b - 1 = 3. List the prime factors of i(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9681 is divided by 3193.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17135 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:26 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31583, 41893, 52203, 62513?\nAnswer: 72823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98235 and 4537125.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u + 9 = 0. Put u, 4, 2 in increasing order.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 845, 1700, 2569, 3458, 4373, 5320, 6305, 7334?\n\"Answer: t**3 + t**2 + 845*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, -77\/4, -3, 6, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1589*m**6 + 390*m**2 - 3*m wrt m.\nAnswer: 190680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 4 + 3*m**3 + 1 + 2*m**3 - 4. Let x be n(1). Suppose -x*r + 23881888 = -1718112. Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s - 124. Let m be z(14). Let a be m + (-6 - (-3 + -2)). Calculate the highest common divisor of a and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 22*v**2 - 124*v + 920. What is j(15)?\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711043*c + 355521*c + 355522*c - 1823*c**2.\nAnswer: -1823*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*x - 20, 0 = 2*g - 5*g + 4*x + 26. Solve 2*h = -0*h + g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**3 + k**2 + 2*k**2 - k**2 + 289 + 7*k**3 + 106 - 2*k as j*k**2 + a*k**3 + p + m*k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/28*(-40)\/10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 3. Let i be g(3). Let b be 2*i\/(-12)*10. Suppose 4*m = 3*c + 41, 6*m + 4*c - 34 = b*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 4*a + 4. Let v be p(-7). Suppose 5*s = v + 10. What is the second derivative of 7*c**5 - 10*c + 2*c**2 - 2*c**2 + s*c wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 11. Calculate the smallest common multiple of 32 and m(17).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12446*h**2 + 12446*h**2 - 24890*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 5:19 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/564 and -43\/987.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6207216 and 6408?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i - 100*i**2 + 5*i + 106*i**2. Let o(t) = -50*t. Calculate o(s(p)).\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 23*u + 22. Let s be y(6). Let r = 704 + s. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/176)\/((-54)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 8 = -5*g, -5*w - 8 = 4*g + 2. Solve b + 2*b = g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:36 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Solve y*d = -5*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82553, -164956, -247359, -329762?\nAnswer: -412165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -152 + 70 + 83 + 15*g. Let i(x) = -15*x - 1. Give -4*i(z) - 3*q(z).\nAnswer: 15*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4 + 3*u**2 - u**2)*(0 + 0 + 2 + (-3 - 3 + 8)*(2 + 8 - 3))*(3 + 1 - 6) to v*u**2 + y*u + t and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102 * 61.\nAnswer: -6222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 6:46 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -dc875a (base 14) to base 2\nAnswer: -11100100001001110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v = -2. Let a be (11 - 10)\/(v\/18). Suppose -4*g + 111 = -5*u, g + u - a = 12. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 - 854\/(-56). Suppose 5 - g = -2*p. Let o be (p\/(-50))\/((-2)\/8). Which is the biggest value? (a) o (b) -0.3 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -98*b + 1279. Let u be s(13). Solve -3*l - u*f - 10 = -0*f, 3*f + 6 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3095?\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24455550 (base 6) to base 2.\nAnswer: 10111111101111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3 + 2. Is 9 a factor of (-5)\/r + (15 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-206)\/3)\/(1\/(-3)). Suppose -11*o + 5 = -28. Suppose -o*r = -5*r + d. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*f = 13, 42*f = -3*w + 39*f + 3. Solve 0 = 4*p + w*z + 30, 10 = -p - 3*z - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*l + 23*l - 5. Is 13 a factor of l\/3 + (-944)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 103*p**7\/210 + p**5\/30 + 929*p**4\/24 + 690*p**2. What is the second derivative of m(i) wrt i?\nAnswer: 1236*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 9 (c) -4 (d) -16 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -384 (base 14) to base 16.\nAnswer: -2c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrrwqxlcwqcxxwwqww. What is prob of picking 1 w and 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.22 greater than or equal to -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 8*y + 208175 - 207914, -h - 4*y = 129 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -0.643.\nAnswer: -10.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 42*f = 0. Solve -8 = -3*x - 0*x + 2*r, 5*x - 3*r - 13 = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.7, 0.23 in ascending order.\nAnswer: -4, -0.7, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6228 is divided by 2071.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -58.8074\nAnswer: 58.8374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 8*x**2 + 7*x - 14. Let o be m(-9). Find the third derivative of -6*f**2 + 0*f**4 + 4*f**4 + 4*f**o wrt f.\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**3 + 3*v**2 + 3*v + 2. Let r(m) = -6*m**3 + 3*m**2 + 2*m + 2. Determine -3*r(u) + 2*z(u).\nAnswer: 4*u**3 - 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*p + 9, 0 = -g - g + p + 7. Suppose 5*m + g*f = -f + 8905, -2*f - 7124 = -4*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2532\/209 - -113\/11. Which is bigger: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*(-40)\/10. Suppose a*t = t + 2. Factor -2\/11*o**3 + 0*o**t + 4\/11 + 6\/11*o.\nAnswer: -2*(o - 2)*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - ((8 + 14 - 12) + 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 485852.5s?\nAnswer: 485852500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21708 at least -278.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -248*a + 0*a**2 + 2 + 123*a + 123*a - 6*a**2. Let y(i) = 5*i**2 + i - 2. Calculate 2*h(p) + 3*y(p).\nAnswer: 3*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -525984400 to the nearest one million.\nAnswer: -526000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = h + 4*w, 3*h + 1 - 11 = w. Solve -3*q + i = h, -4*q - 5*i + 8 = -i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m + 3*m)*(-5*m + 5*m + 3*m**3) - 2*m**4 + 6*m**4 + 3*m**4 + (m**2 - 4*m**2 + 4*m**2)*(m**2 - 3*m**2 + 3*m**2).\nAnswer: 11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -957 or -949?\nAnswer: -949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10, -2*g + 4*g - p = 4. Let x(d) = -g - 25 - d**2 - 6*d + 1 + 3*d**2. What are the prime factors of x(8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/5 less than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 556 + 165. Suppose 0 = 5*u + 208 + 277. Let w = u - m. What is the smallest common multiple of w and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 3842*i**2 + 2*i - 5157*i**2.\nAnswer: -1315*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 6*r - 2*r)*(9*r**2 + 1817*r + 19 - 1817*r) in the form x + g*r**2 + y*r + v*r**3 and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -40. Suppose t - 378 = -q*t. What is the highest common factor of 42 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311 (base 5) to base 6\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 17 = z, 4*y = -0*y - 4*z + 4. Let f(n) = 4*n - 2*n - n**2 - n - y*n. Let b be (3\/2)\/(12\/(-16)). Let o(d) = -d + 1. Determine b*o(v) + f(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.5, -782, 1.2, -4, -5, 2\/9, -7?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45060707 to the nearest integer?\nAnswer: 6713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 14*y - 114 = 0, 3*t + 3*y - 1856 = -29*y - 2135 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j. Let k(i) = 28 - 16*i + 9*i - 28. What is k(a(m))?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -41496 and -41494 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1507 + 1503. What is the closest to -0.1 in -0.2, i, -76, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00112507572 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.49 - 17.4. Let n = p + 160.91. Which is smaller: n or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 24862\/1443?\nAnswer: 24862\/1443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (7 - 21) - (-37 + 76)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 4, -151 in descending order.\nAnswer: 43, 4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 48 + 10*v**2 + 74*v - 2*v**3 - 87*v. Let p be i(9). Solve -8 = 5*u + p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -16*z**2. Let u be o(1). Let w = -31 - u. Let x(c) = c**2 + 13*c - 16. Let q be x(w). Is q greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 592*f - 1. Let u be y(1). Let l = u - 266. Let t = l - 220. Is 28 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -38, -4, 2\/771, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29659706?\nAnswer: 2, 14829853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 14. Let o be y(14). Let p be 801 + ((-2 + -2)\/(-1) - o). Suppose 4*s + 181 = p. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 3*i**2 - 4*i - 3. Let r be c(-3). Let b(y) = y**3 - 10*y**2 + 9*y + 6. Is b(r) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103196.00112 + -103231. Let o = -35.09 - -0.09. Let j = o - x. Round j to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-5))\/((-4)\/10). Let q(s) = s**3 - 4*s**2 - 10*s - 5. Let t be q(k). Solve -4*m + 2 = 5*y + t, -2*m = -4*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 213\/2172025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.92 + 0.08. Let d = 3 - x. What is the third biggest value in d, 0.01, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.77 - 0.23. Let v = l - -15.031. What is v rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401652 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617514 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 213*y**2 - 140*y - 5480. Is f(-63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 8*b - 6, 3*l = b + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2849.56 - 2850. What is the closest to -2 in r, 0.2, 2, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**5*t - 93*h**3*t**3 - 322*h**2*t**3 + 2*h**2 wrt h?\nAnswer: 240*h**2*t - 558*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*t - 740, h - 500 = -5*t - 146. Calculate the greatest common divisor of 34 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 864 = -3*g + a, -4*a = -5*g + 1423. Which is bigger: 860\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhpoppf. Give prob of sequence jooh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1652549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7603 is divided by 634?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/((-9)\/(-18)) - -3. Suppose 75 = -r*h + 319. List the prime factors of h.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42653 (base 8) to base 5.\nAnswer: -1032320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 - 157 = 50*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4053 - 4057. Let k(a) = a. Let c(w) = 3*w + 5. Calculate z*k(n) + c(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*6.4.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -329427, -328713, -328001, -327291, -326583, -325877?\n\"Answer: -z**2 + 717*z - 330143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = -3*o + 55. Let c be o\/(-27) - (-6)\/(-27). Solve 0*d = c*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(8)\/(sqrt(28)\/sqrt(7)) + sqrt(2) + (sqrt(80)\/sqrt(4))\/sqrt(10) + -1)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47127885257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (5 + -4 - 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**2 - 5*y. Let m(z) = 32*z**2 - 16*z. What is 5*m(k) - 16*x(k)?\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -16. Let h(m) = 1 + 13*m**3 - 6*m**2 - 26*m**3 - 3*m + 2*m**2 + 12*m**o. Calculate h(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.527821 rounded to 2 dps?\nAnswer: -58.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10343 and 0.047.\nAnswer: 486.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128523 rounded to the nearest 100?\nAnswer: 128500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**20)**(-31)\/(p*(p*p*p*p**(-1\/21))\/p)**(-37) assuming p is positive.\nAnswer: p**(-10726\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + 6*l**2 + 6759*l + 2866*l.\nAnswer: 10*l**2 + 9625*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 10*r**2 - 13*r**2 - 14*r**2 + r**3 - 13 - r. Let p be y(-17). Solve 11 = j - 3*n, 3*j = p*n - 3*n - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*a + 4. Let p be a\/1 + -1 + 2. Let q(z) = -68000*z**2 - z + 5. Let o be q(p). What is o rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 51*z + 25. What is p(20)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 1298 + 1298.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -3*n + 3*h, 4*h + 25 = -h. Calculate the remainder when 248 is divided by n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 - 57*f - 159. Is u(71) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330950 and 310?\nAnswer: 10259450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*c = 2*c - 42, 3*c = -6. Suppose 6*h = 4*h + 50. Calculate the greatest common divisor of h and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-4)*18\/(-15). Suppose 2*w + 18 = 5*v - v, v - l*w + 3 = 0. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 67*r + 14. Let h be o(5). Let s = h - 168. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100100000 (base 2) in base 4?\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*d**2 - 47*d - 47*d - 48*d - 95*d**2 + 137*d to b*d**2 + r*d + g and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3858609*c**3 - 10471205 wrt c?\nAnswer: -11575827*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 212?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529137 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*v = -854, 0 = 4*t + v + 2*v - 849. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6105 + -11105. Round p to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6.4. Let x = -0.25 - 0.05. What is the second biggest value in x, b, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1881162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose -i = -2*i + q*v, 2*i + 5*v = 15. What are the prime factors of 2\/(i - 1)*24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + (-22)\/(-4). Suppose 16*h - c*h = 0. Solve 2*x + h*x = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6411 - 6411.004179. What is d rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -367*m**6\/120 + 145*m**3\/6 + 472*m**2. What is the first derivative of b(y) wrt y?\nAnswer: -1101*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603341.2381 take away 233?\nAnswer: 603108.2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**(-2\/49)*(a\/(a**(3\/4)*a))\/(a*a\/(a*a**(-3\/5))*a) assuming a is positive.\nAnswer: a**(-23061\/6860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -573\/5 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10102?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6565 + -3342. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6\/7 (b) -1\/3 (c) -7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/90)\/((72\/(-15))\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 - 3112 - 4624 - 90 = 130*j for j.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + u**2 - 2*u - 1. Let l(j) = 186*j**3 - 382*j**2 - 14*j - 7. Let t(g) = -2*l(g) + 14*n(g). What is the third derivative of t(y) wrt y?\nAnswer: -2148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433689874 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - 4*d**3 - d**4)*(-1 + 0 - 3)*(-3 + 4 + 4) - 4*d**4 + 5*d**4 - 4*d**4.\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/((1 + -2)*-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4641 + -1.4341. Put t, 2\/3, 27 in descending order.\nAnswer: 27, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 797 + -110. Let l = v + -690. What is the nearest to 1 in -4, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 306 = -21974. What are the prime factors of u?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 13*d**2 + 7*d - 378. Calculate j(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87357*d = -87435*d + 468 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**3 - 6*j**2 - j**3 - j**3 - 4. Let f(h) = -7*h**3 - 7*h**2 - 5. Suppose 5*q = 131 - 31. Let z = q - 16. Determine z*f(v) - 5*t(v).\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1625874.09 to the nearest ten thousand.\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -5)\/(1\/6). Let a = d + 0. Let f be (-100)\/(-6)*a\/(-30). Solve -2*r + f = -6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 32, 50, 100, 194, 344?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -845*d**3 + 1694*d**3 - 728*d**3.\nAnswer: 121*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 657 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - 140\/(-147). Let x = -0.2 + 0.3. Let u = x - -0.1. Put 0.4, u, t in descending order.\nAnswer: 0.4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -12, -58 = -5*w - 4*p + p. Let i(l) = l**2 - 11*l - 33. Let n be i(w). Let x(c) = -c**2 + 20*c + 17. List the prime factors of x(n).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k - 5*g + 4*g, -4*k + 7 = -5*g. Let f(c) = -6*c + 69. Let p be f(12). Sort p, 1, k in increasing order.\nAnswer: p, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 4*g + 4. Let a(n) = 3*n**2 - 7*n - 8. Let c(h) = -2*a(h) - 5*y(h). What is the units digit of c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/3 - j**2 + 4\/3 = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*x + 5894 + 5531 = 600*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9831 divided by 3?\nAnswer: -3277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 2192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -559 divided by 3?\nAnswer: -559\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 6.6. Let i = d - 0.1. Which is the closest to -1\/2? (a) i (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 418\/7 - 42\/(-147). Let m be 8\/5 + 24\/b. Suppose -m*l + 55 = -39. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -31*g + 314. What is p(8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 104, 3\/4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(86940\/(-40)) + (-272)\/138.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-12090)\/(-220)) + 38\/(-836)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22741995 * 7\nAnswer: 159193965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 10 = 77055*k - 77050*k + q, -3*k = 43*q + 433 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 37*y - 27. Let m be j(11). Suppose 13*d - m = 8*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165247, 165260, 165273, 165286, 165299, 165312?\nAnswer: 165325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.46*-0.01.\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 + 420*u**4 - 1745*u**3 + 1320*u**2 = 0.\nAnswer: -88, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3444 divided by -861.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 2*l**2 + 0*l + 1\/84*l**8 + 0 + 0*l**7 + 0*l**3 + 0*l**6 + 1\/10*l**5 + 0*l**4. Find the third derivative of y(a) wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 1) - (48 + 11 - (-6 - -30))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4\/3 + 28*o**3\/3 + 16*o**2 + 16*o\/3 - 16\/3 = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-35) - 34\/7. Let f(k) = k**3 + 6*k**2 + 4*k - 2. Is f(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -4*u + 2*j - 7, 10 = 2*j. Let f = -270953\/4 - -66819. Let t = f - -896. Find the common denominator of u and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7567 divided by 32267\nAnswer: -7567\/32267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/30 and -113\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 6*l + 7*l - 4*l**2 + (-l - 3*l + l)*(l + 4 - 4).\nAnswer: -4*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990100667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4*222\/296?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * 0.81.\nAnswer: -29.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r = -6400743 + 6401151 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/12 - 6*v. Let f(a) = 4*a. Give f(s(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 24. Let b be s(-8). Suppose -a = -30 - b. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q + 166 = 238*q - 230 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1549538 and 0.13.\nAnswer: -1549537.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161.51 - 161.554004. What is b rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4251 by 28.\nAnswer: -4251\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.9 - -5.1. Let i = v - 50. Let o = i - 31. Is o > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/11609 and -5\/110409.\nAnswer: 5189223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-495))\/((-2)\/(-70))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 26*p - 69. What is the units digit of b(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose 2*a - 8 = 0, -5*a + 95 = -v*p + 27. Let u be (-26)\/(-8) + 6\/p. Solve -4*l - u*i - 12 + 4 = 0, 0 = -5*l + i - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:06 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((-18)\/321) + 2. Let m = c - -111. Solve m*r - 2*r = 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 56852*g. Let s(q) = 1865*q**2. Calculate s(y(d)).\nAnswer: 6027959570960*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 1:01 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)*o)**(-2\/57)\/(o**2*o)**(-10))**(-3\/8) assuming o is positive.\nAnswer: o**(-4273\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - y**2 + 2*y**2)*(-104 + 305 + 34)*(-4*y + 5 - 5)*(3 - 3 - 1).\nAnswer: 6580*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144301579 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 3 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1*sqrt(171)*5 + (sqrt(171)*4*-1 - sqrt(171)))\/(sqrt(72)\/(sqrt(1200)\/sqrt(6))*-5).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 860984105175\nAnswer: -860984105175.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*y + 2*y**3 - 11*y + (-2*y + 2*y**3 + 2*y)*(-1 + 1 - 2)*(1 + 2 - 8).\nAnswer: 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 3*u, 0*l = l + 5*u - 5. Let k = -5 - -5.7. Let o(n) = n**2 + 39*n - 2. Let w be o(-39). Which is the nearest to k? (a) -2\/11 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezez when four letters picked without replacement from ejjjzzze.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-31)\/4 - -8)*5540 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*d - 276, -5*d - 78 = -6*d + 3*z. What is the lowest common multiple of d and 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.8 (c) 4 (d) -4\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-8 + 6 - -8 - -173200). What is z rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -42 - (5 - 2 - -5)) + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 872, 0.5, 7440?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59156*b**3 + 335254*b**3 + 51544*b**3.\nAnswer: 327642*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42662378 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17*b + 109. What is h(-70)?\nAnswer: -1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 131, -20, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1023758, 1023764, 1023782, 1023818, 1023878, 1023968?\n\"Answer: d**3 - d + 1023758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab32 + 9?\nAnswer: 1ab3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.3. Let f = -1525 + 179. Let h = f + 1346. What is the fourth biggest value in 5, h, -0.04, m?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + 102020020?\nAnswer: 102020230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14 - 0 - 14040\/(-1014). What is the nearest to 2\/5 in -13, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - m + 6*m = 21, -2*p = m - 9. Let v(w) = -4*w**2 + 23*w**p + 5*w - 7*w**2 + 14*w**2 + 10. Is v(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m - 4. Let z be k(-4). Let d = z - 2. Solve 2 = 4*w - d*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 4)*6\/(-4). Let l = 25 + o. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 427.666503 and -180.9.\nAnswer: 246.766503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (15 + -7)) + (1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*60\/48*24\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 10) to base 9.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.7 - 65. Suppose q + 3*g = 1, 6 = 5*q - 3*q + 2*g. Let m be -2 - ((-2)\/q + -1). Which is the second biggest value? (a) m (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + y - 74 = 0, 4*s - 2*y - 293 = -7*y. Let k = -53 + s. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*w**5 - 20*w**4 + 4129*w**2 wrt w.\nAnswer: 14220*w**2 - 480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -224 divided by -4\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -15 (b) -4\/3 (c) -2\/7 (d) -0.05 (e) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-47 - -38 - (-3 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037597?\nAnswer: 11, 94327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-152))\/(19\/(-2))*-4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, k: 13}. What is prob of sequence kk?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*a + 42 = 0, -73 = -3*v + a + 37. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -6.79, 2, -6, -1, 0.2 in decreasing order.\nAnswer: 2, 0.2, -0.2, -1, -6, -6.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/17, 0.5, -1\/9, 43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 + 8 + -250. Let d = m + 362. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**7\/2520 - c**6\/90 + 7*c**5\/120 + 43*c**4\/12 + c**2 + 66*c. Let r(l) be the third derivative of j(l). Give r(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s**5\/7 - 1070842*s**4 + 4551098*s**3 - 7495928*s**2\/7 = 0. What is s?\nAnswer: -936991, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -496*a*k**2 + 185*a - 199517*k**2 wrt a?\nAnswer: -496*k**2 + 185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-1*(-2)\/(-8)). Let s = -1227 - -2227. Suppose 0*q = 5*w - 4*q - s, 0 = -3*w - q + 583. Calculate the highest common factor of i and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-4*z + 0*z + 2*z) + 54*z + 65*z - 17*z + 329*z.\nAnswer: 433*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -326, -488, -650, -812, -974?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 5*s + 3*f - 19, -2*s = -f + 8. Let k(t) = 6*t + 7. Let r = 93 - 92. Let g(w) = w + 1. Give r*k(p) + s*g(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -1 + 3. Suppose -6*y - j = -7*y. What is the first derivative of 6*p + 5 - 3*p - y*p + 4*p wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 2 (c) 86575 (d) -9 (e) -1 (f) -4 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*k - 429*k - 879 = 7185 for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560 = -754*n + 442*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -20, 2*p + b - 2*b - 111 = 0. Calculate the highest common factor of p and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.03. Let k = 1.46 + u. Let g = 0.5 - k. What is the third smallest value in g, 0.04, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 + -3.95. Let v = 0.35 + -0.3. Let s = v - g. Sort -5, 0.3, s.\nAnswer: -5, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*c - 651 = -12*c + 350 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45731943, 45731956, 45731979, 45732012?\nAnswer: 45732055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1977*p + 1930*p - 294 + 999. Solve p*y = 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445076 take away -169?\nAnswer: 445245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105470103 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjb when three letters picked without replacement from {b: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-3185)\/140))\/((-4)\/(-14))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*(n*(n\/n**6)\/n)\/n)\/n)**(-1\/3) assuming n is positive.\nAnswer: n**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -n + 533, 11*z = 13*z - 4*n - 244. What is the remainder when z is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 22*s**2 + 5*s - 4. Let w be u(1). Suppose y - w = -2*p + 7, 0 = 5*y - 3*p - 85. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - z**3)*(-23 - 3 + 6)*(122*z - 37 + 37).\nAnswer: 2440*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taaaaaaaaattttaaaat. Give prob of picking 2 a.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3046.\nAnswer: 5\/3046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -10.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -21*w. Let s(l) = -23*l - 15. Let k(p) = -54*p + 3. Let b be k(0). Let x(u) = -1220*u - 800. Let r(o) = b*x(o) - 160*s(o). Give r(j(n)).\nAnswer: -420*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + (-18)\/33*7524\/(-342)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 83291, 82721, 82151, 81581?\n\"Answer: -570*c + 83861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 0*f**2 + f**2)*(-3*f**2 + 3*f**2 + 3*f**2) + 0 - 2*f**4 + 0 + (-2*f + 0 + 0)*(-4*f**3 + 2*f**3 + 4*f**3) - f**4 - f**4 - f**4.\nAnswer: -6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*g - 0*g - 9, 0 = 4*g - 4. Suppose 33 = 2*y + r, -69 = -s*y + y + 2*r. Suppose -y = -4*v + v. Solve v*m + 14 = -1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.09 and 2?\nAnswer: -4.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, -1\/3, 5, 1\/12 in ascending order.\nAnswer: -1, -1\/3, -0.1, 1\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 + (-18 - 176) + 2 + -2 + 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2504604.44 to the nearest ten thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 - 986*u + 10776. Determine t(-257).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h + 55*h - 1190 = 91*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0951 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + ((-30876)\/(-1245) - (-4)\/(-5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:16 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68015 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1658402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -76.1 and -0.386?\nAnswer: 75.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 407 and 5069?\nAnswer: 55759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 11245*v**2 + v + 7758*v**2 - 4352*v**2.\nAnswer: 14651*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6013 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u + 1. Let v be 3 + 2 + -3 + -2. Suppose -4*k = 5*z + 33 - 6, 2*z + 6 = v. Give b(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*j + 20 = 0, -4*j + 8 + 4 = 0. Solve 6*w - k + 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2416*c**4 - 128*c**2 + 1 wrt c?\nAnswer: -57984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, h: 1}. What is prob of sequence uh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2874*n**4 - 204*n**3 + 7246226*n**2 wrt n.\nAnswer: 68976*n - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3339040 <= -3339160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w**(2\/17)*w)*w*w)\/w*w)**(-2\/179)\/((w**13\/w)\/(w\/(w**(1\/4)*w))) assuming w is positive.\nAnswer: w**(-149499\/12172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.148 * -0.2\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggm when four letters picked without replacement from omogvwoawowgogm.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -446 or -544?\nAnswer: -544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115300*-68\nAnswer: -7840400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(-1*sqrt(150))*-3.\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let n(j) be the first derivative of j**3 + 7*j**2\/2 + 472. Give 5*f(i) + n(i).\nAnswer: 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52791757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*x**2 + 3*x**2 + 180*x**4 - 184*x**4 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 74 - 4*u + 5*u - 2*u - 10 + 91 + 9*u**2. What is l(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 237491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, h: 3, n: 2, a: 3, z: 3, k: 3}. What is prob of picking 2 a and 1 z?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174708 and 9706.\nAnswer: 174708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 5\/2*r - 5\/2*r**2 - 1 + 5\/6*r**3. Find v, given that x(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h*l + 1950*h*r**2 - 74*l*r**2 - 2*r**2 wrt h?\nAnswer: 2*l + 1950*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12886 + 12885.999992673. Round i to 7 dps.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4337952 and 19520784?\nAnswer: 39041568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58, 58, 50, 28, -14, -82, -182, -320?\n\"Answer: -q**3 + 2*q**2 + q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 8)\/((-1)\/7). Let z = 10 - h. Solve -4*r + 3 = 5*u - 2*r, -r - z = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 15*v**2 - 3*v - 39. What is c(15)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 81 + 386 = 0. Let g = s - -85. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ab4 (base 12) in base 2?\nAnswer: -10011111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {g: 2, i: 2, y: 4, n: 4, s: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -14*r + 3*r**2 + 13*r + 19*r - 5*r**2. Let l(s) = -31*s. What is c(l(u))?\nAnswer: -1922*u**2 - 558*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610982 to the power of 1\/2, to the nearest integer?\nAnswer: 2147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 80 - 4. Find the first derivative of 8*f**3 + w*f**2 - 28*f**2 + 41*f**3 - 60 wrt f.\nAnswer: 147*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2720, 1615, 530, -535, -1580, -2605, -3610?\nAnswer: -4595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-4))\/3*(-56)\/(-546). What is the nearest to -3 in j, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*o + 4*o. Suppose 4*y + u - 450 = 0, 4*y = o*u + 454 - 16. Suppose -2*w + 4*w = y. Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 794546159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0384 and -0.033191.\nAnswer: 0.0012745344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599103115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 964*q + 1156*q + 1609 - 1609 as r*q + f and give r.\nAnswer: 2120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -8*x + 4*r - 28, 2*x + r = -8. Let t be -2 + (4 + 1)*-7. Let i = 63\/2 + t. Which is greater: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19425315?\nAnswer: 3, 5, 7, 13, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - g + 2939 = 0, 2320 + 623 = 2*y - 3*g. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.2 + -14. What is the smallest value in -0.3, w, 5, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4542933722?\nAnswer: 2, 71, 179, 367, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 + 3.155. What is k rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 7) + -1 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4602750.2 - 5580893. Let o = i + 978130.8000075. Let u = -12 - o. What is u rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*j**3 - 54*j - 221*j**3 + 54*j.\nAnswer: 85*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k - 5. Let j be y(2). Let i(c) = j - c - 2 + 0*c. Suppose 5*o - 2*h - 5 - 24 = 0, -2*o + h = -12. Give i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3.7. Let c = 754 - 758. What is the smallest value in 1\/2, m, c, -1\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0*p**3 + 0 - 1\/6*p**4 + p + 0*p**2 - 3\/20*p**5. What is the third derivative of g(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 + -248. Let h = c + -145. Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26743576, 53487152, 80230728, 106974304, 133717880?\n\"Answer: 26743576*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.816378 milligrams to kilograms.\nAnswer: 0.000008816378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:04 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10211?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41351 or -41352?\nAnswer: -41352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, m: 3, z: 3, y: 2}. What is prob of sequence zzms?\nAnswer: 27\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.1, -3\/23, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -15, -2*v = -2*j + 12. Suppose 0 = 2*m - 2*w + j - 1, -5*m - 3*w = -7. Is 2\/243 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 94 = -2*o - 136, -2*o = 2. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 3837*k**2 - 43 - 3835*k**2 - 3*k.\nAnswer: 2*k**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141\/4 + -377\/8. What is the common denominator of y and -69\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67634531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 568, 1095, 1606, 2095, 2556, 2983, 3370?\nAnswer: 3711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12112 (base 4) to base 8\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 13*u + 45. Let j be f(-5). What is the highest common divisor of j and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-3)\/(-15) - (-102)\/180. Let y(o) be the second derivative of 0 + o + 0*o**2 - g*o**3. Determine y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1437 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i**(1\/10))**(2\/31) assuming i is positive.\nAnswer: i**(9\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51760804 to the power of 1\/2, to the nearest integer?\nAnswer: 7194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**5 + 372*x**4 - 772*x**3 + 48*x**2 + 782*x - 420 = 0. What is x?\nAnswer: -1, 1, 6\/5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394*u + 396*u - 788*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + -3 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 + c. Let v = 255 + -248. Let m(h) = -19*h**2 + 4*h. Give v*x(d) - 2*m(d).\nAnswer: -4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 7*w = -15. Let p be (-21)\/((-18)\/(-24)*2) - w. Let b(h) = -h**2 - 16*h - 19. Determine b(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + h)*(-2422 - 2137 + 697).\nAnswer: 11586*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 31?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/35 - n**5\/20 - n**2. What is the third derivative of k(d) wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28318342 from 2378.\nAnswer: 28320720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 rounded to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/24)\/(3\/2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(3\/(-1)) - 3. Suppose -4 = -6*p + u*p. Solve -p + 22 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 5, 4, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 17*h + 30, 65*h = 70*h + 5*y + 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvagggvvgagag. What is prob of sequence aga?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24686964, 49373932, 74060898, 98747862, 123434824, 148121784?\n\"Answer: -n**2 + 24686971*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1589, 3220, 4889, 6596?\n\"Answer: 19*f**2 + 1574*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1001000?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1035500 and 570?\nAnswer: 3106500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -39, -25, 3, 39, 77, 111, 135?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 + 425*n - 425*n. Let i(s) = 3*s**2. Give i(z(k)).\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4413*a - 262. List the prime factors of f(1).\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)*s*s\/(s\/s**2*s))\/(((s\/((s\/(s*s\/s**(-8)))\/s))\/s)\/(s**(-1\/4)\/s)) assuming s is positive.\nAnswer: s**(-637\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 280428126 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -921? (a) 2\/13 (b) 11\/4 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.1. Let t = 5.01 + -0.01. Let w = 23 - 23.1. Which is the nearest to w? (a) o (b) t (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:01 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/((-1650)\/186 + 9) is divided by 66.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 14 = 4*n, 2*i = 3*i - 2*n + 9. Which is smaller: i or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 13*i**3 + 2946*i + 37*i**3 - 2946*i - 12*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2. Let u = 0 - o. Let j(i) = 2*i**3 - 1. Let d(a) = -a**3 - a + 1. Suppose 9 = m - 2*s, -3*m - 24 = m + 4*s. Give m*d(f) + u*j(f).\nAnswer: -f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(15\/6)*3. Is 8 a factor of (-92)\/p - (-6)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 + 26)\/((-1 - -2) + 0). Suppose -14 = -2*i - 5*b, -2*i + x = 3*b + b. Which is smaller: i or -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.2945m to micrometers.\nAnswer: 673294500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.04 + 0.04. Let a = -75 - -153\/2. What is the closest to w in -4, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*z - 121*z = -y + 4, 2*y + 3 = 5*z. Which is bigger: y or -7\/3908?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1269 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 759 + -505. Let n = g - 248. Let b(l) = -l + 7. Give b(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 131040015 = 3*v, 5*v = 3*u + 27001045 + 191398946. Round v to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 263921 = -1730152. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19832 divided by -19832.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0 - 1)*(-1 + 0 - 5)*(0*c**3 + 0*c**3 + 4*c**3 + (-19 + 19 - 23*c**2)*(-c + 2*c - 2*c)).\nAnswer: -1296*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, -429.\nAnswer: -429, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 1. Let b be z(-1). Let j be (-2)\/5 - (679\/(-35) + -7). Suppose 5*p + j = 18*p. Solve -2*y + b = -p*l, -l - y = 2*l + 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(52\/(-13) + (-1)\/(-1)). Let k(j) = 3*j**2 - 2*j - j + 2 - 2*j**3 + 1. Let u(t) = -10*t**3 + 14*t**2 - 14*t + 14. Determine h*u(c) + 14*k(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50431925 and 9250.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/6*(-120)\/100*8889\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 22*z - 0. Suppose -3*j = -s - 74, -z*j + 0*j = 5*s + 390. Are s and -75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*l - 114*l + 225*l + 45 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(sqrt(637) + 1)*3 - ((-1 + sqrt(637) + 1 + sqrt(637))**2 + (-2 + sqrt(637)*2)**2).\nAnswer: -5094 + 98*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -396, -372, -348, -336, -348, -396, -492, -648?\n\"Answer: -2*h**3 + 12*h**2 + 2*h - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*t + 950 = -0*s, 399 = 2*s - 5*t. Calculate the greatest common factor of s and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6948, 6949, 6950?\n\"Answer: w + 6947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 394.1 + -400. Let p = -1.1 + j. Which is the nearest to 0.1? (a) 0.4 (b) p (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 247 + -229. Do p and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(11\/2))**(-4\/11)*(x**(-2\/7)\/x)**(-9\/5))**(-20\/7) assuming x is positive.\nAnswer: x**(-44\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -3. Let y be 2\/(-8) - 2\/(-8). Let w = -1 + y. Put k, w, 5 in decreasing order.\nAnswer: 5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -186, -185, -184, -183, -182, -181?\n\"Answer: a - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 - (7 + 1 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d. Let g(a) = -29 - 31*a**2 + 4 + 25. Give l(g(v)).\nAnswer: 155*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 less than -0.3?\nAnswer: -727.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (9*-1)\/(-3). Let x(f) = -f**z + 20 - 20. Let y(c) = -4*c. Give x(y(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + 2 - 1 - s**2 - 8140*s - 34*s**2 + 8140*s + 9 + (-3*s + 6*s + 0*s)*(1 - 3*s - 1) to the form b*s**2 + x*s + u and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2388*u + 2389*u - 40. Let p = 88 + -183. Let t = 213 + p. What is the remainder when t is divided by u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208453453.902 - -1.\nAnswer: -208453452.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 10*m + 7. Suppose 0 = -m*k + 3*k + 12. Let s(y) = 8*y + 1. Does 10 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3935\/15 + (-7)\/((-84)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 at most -32883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 15, 32, 65, 120, 203, 320, 477?\n\"Answer: f**3 - f**2 + 3*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10267000 rounded to the nearest 100000?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*d**4 + 157*d**3*l + 16*d**2*l - d**2 + d*l - 9*l wrt d?\nAnswer: -888*d + 942*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/2)\/q*q)\/(q**3*q))\/(((q**3\/q*q)\/q)\/q**(-2\/13)) assuming q is positive.\nAnswer: q**(-121\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220220 + -1021121?\nAnswer: 1122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 869*j + 662852. What is c(488)?\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41079 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:32 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (9*-4 - 2). Let h be ((-2)\/(-6))\/(4\/132). Suppose 4 = -3*i - 4*n, -h = 3*i + 5*n - 3. What is the highest common factor of y and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 - 46. Let g be (-1)\/((-40)\/n - (-51)\/36). Let c(m) = m**3 + 13*m**2 + 13*m - 4. Give c(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/2*-100 + 0. What is c rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -0.3, 2\/17, -0.4, -3\/4 in increasing order.\nAnswer: -1, -3\/4, -0.4, -0.3, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, u: 3}. What is prob of sequence xux?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k, -4*a = -3*a + 4*k - 10. Find the second derivative of 2*q**3 + 0*q**3 + a*q - 14*q wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14 and -123\/32196740?\nAnswer: 225377180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146\/8951 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(1\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.0095.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10203247 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -22*w**2 - 8*w - 12. Let i(n) = -15*n**2 - 5*n - 8. Let p(t) = -8*i(t) + 5*q(t). What is the derivative of p(d) wrt d?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*x - 29*x = 1304. Solve 0 = -11*k - x + 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvpl when four letters picked without replacement from {p: 1, y: 1, r: 1, v: 1, l: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, w: 4}. What is prob of picking 4 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + 0*k)*(-6 + 2 + 3)*((-5 - 2*k + 5)*(2 - 4 + 3) + (5 - 4 - 4)*(2*k + k + 3*k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m*n*z**3 - 5*m*z**3 - 10*m*z**2 + 2*m*z + 3*n*z**3 + 4*n*z**2 wrt z.\nAnswer: -18*m*n - 30*m + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -307 + 434. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58.034, -0.4, -0.1 in increasing order.\nAnswer: -0.4, -0.1, 58.034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -995*c**3 - 11*c**2 + 33*c + 3. Is k(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -447.\nAnswer: -223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = -5*q. Let g = q - 1. Solve -b + 2 = 0, 0 - 2 = -2*d + g*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001048617298 rounded to 7 dps?\nAnswer: 0.0010486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6130790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-42))\/((-18)\/(-24))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 471*m**2 - 20732*m + 357. Determine u(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*j - 5, f = -4*f + 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -811, -293, 577, 1805, 3397, 5359?\nAnswer: 7697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.4, -2, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 138766 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: Let i(f) = 5*f**2 + 6*f - 8. Suppose -3*t - 28 = -10*t. Does 19 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-48)\/(6\/(-2)). Suppose 4*d - 7 = x. Let s be (-9)\/6*4\/(-3). Put 0, d, s in decreasing order.\nAnswer: d, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104\/(-1352) - 28\/(-26)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/9 and (176\/1188)\/((-489)\/(-36))?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000143675978 rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189) + 1*sqrt(189))\/sqrt(3) + (sqrt(847) - sqrt(847)*2*6).\nAnswer: -115*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -2. Suppose 0 = 4*v - 3*w + 5, -11 + 0 = 4*v + 3*w. Let n(s) = s**3 - 8*s**2 - s + 10. Let h be n(8). Put h, g, v in decreasing order.\nAnswer: h, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(114) - 1*sqrt(114))\/sqrt(6) - (sqrt(38)\/sqrt(2) + 1 + 1)) + -6*((sqrt(228)*2*2 - sqrt(228))\/(6*2*sqrt(12)))**2.\nAnswer: -57\/8 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0208 + 0.0292. Which is the third smallest value? (a) u (b) -0.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 9. Let p be h(7). Let f be (6\/7)\/(6\/42). Differentiate 6*w**3 - 12*w**3 + f*w**3 + p - 4*w**4 wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -87 + 57. Calculate the common denominator of 13\/30 and (238\/j)\/(4 - 48\/10).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (((-1408)\/(-96))\/(-22) - 70\/3)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + -8)*(-3954)\/4. Let s be (-12)\/(-9) + t\/9. Suppose -8*x = -9*x + s. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*y = -17, -46*i + 51*i - 2*y = -3. Sort 0, i, -7, -14.\nAnswer: -14, -7, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58128485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 10 = -9*h. Suppose 2*y + 2*n - h = -y, 0 = -4*y - n + 10. Which is the second biggest value? (a) y (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 222*j - 225*j + 12 = 0, 0 = -5*s + j - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*j - 239 - 130 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(847)*1*3 - sqrt(847) - -2*(sqrt(847) + 1)) + 5*-1*((sqrt(847) + 1)*-4 - sqrt(847)))**2.\nAnswer: 176*sqrt(7) + 911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 615.2 times 38\nAnswer: 23377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 283 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from xxheeeeleeeeweeewew.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1060, 2105, 3150?\nAnswer: 4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 367*z - 362*z - 30. Calculate the lowest common multiple of z and (-47)\/(-5) + (-36)\/90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -668 (b) -2\/7 (c) 5 (d) -1 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46227.\nAnswer: 3, 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 861545947201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10491*x**3 + 5251*x**3 + 5245*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*c = -184*c + 35 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 9 + g + 3. Suppose 0 = -5*r + 2*m + 36, -4*r - 50*m + 39 = -55*m. Give j(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -207669\nAnswer: -207674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuuuuuquuuuu. What is prob of sequence uq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*q + 12. Let b(t) = -t - t + t**q - 1 + 0. Does 12 divide b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/20300 and 3\/1228150?\nAnswer: 2456300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 13. Let u(o) be the first derivative of -o**2\/2 - 3*o - 34. What is -2*d(t) + 9*u(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*b - 1029, 5*b + 327 = 6*b - 5*n. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -18961462*r**2. Let g(y) = -y. Calculate g(p(w)).\nAnswer: 18961462*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:45 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -33 + -14 + 31\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109604?\nAnswer: 2, 11, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1418.225381 and 7.\nAnswer: 1425.225381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14248 - -14293. Solve 341*u - 332*u = z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**4 + 510084*v**3 + 2040400*v**2 = 0.\nAnswer: -4, 0, 127525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 178.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6 + u - 7 + 2*u**3 + u**2 - 3*u**3. Let h(z) = z**3 - 2*z**2 - 2*z + 2. Let y = -1 + 3. Suppose -y = x - 0. Determine x*j(s) - h(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*-4*sqrt(1331))**2.\nAnswer: 1362944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*n + 76*n - 381*n + 74*n + 76*n + 70*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwawwwmawwwkawwwwat. Give prob of sequence twmw.\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*n = -1 - 13, 3*d = -n + 7. Solve 3*c + d + 2 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1741494488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1062 and 8598.\nAnswer: 1521846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwww when four letters picked without replacement from {n: 2, w: 3, q: 1, m: 4, s: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22 and 0.032.\nAnswer: -21.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 8. Let j be q(12). Suppose 0 = -v + j. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1375 + 1381 + (20 - -3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 163818002?\nAnswer: 163817996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15918238 or 15918217?\nAnswer: 15918217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-38 + 40)\/((6\/(-143))\/3). Let v = f + 145. Solve -v*h = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, 44, -15, 1 in increasing order.\nAnswer: -15, 1, 44, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 30357440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5698*y**2 + 34190*y - 27. What is h(-6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.2 (b) -1\/337 (c) -184 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2 = -0*f - 0*f - 0*k - 4*k, -20*f = -k + 281 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1484, 2975, 4480, 6005, 7556?\n\"Answer: w**3 + w**2 + 1481*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 4934 = 536. Let h = 2933\/4 + d. Let u = -2 + 3. What is the second biggest value in h, -1\/6, 4\/7, u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.1 - -8.4. Let f = h + 7. Which is the third smallest value? (a) f (b) -4 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 12. Let q be k(-7). Let r(y) = y**3 + 6*y**2 - y - 2. What is the units digit of r(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23580.156 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - (-2 - -2). Let k(f) = -f**3 - f**2 + f + 4. Let u be k(0). Suppose l + u*l = 0. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110932 and 372.\nAnswer: 10316676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*w + 142 + 194. Let h be ((-4)\/3)\/((-44)\/(-66)). Is h less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 8*b**3 - 8*b + 6*b to the form o*b**3 + r*b**2 + u*b + n and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -25673000 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215860 is divided by 1799?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + (3\/(-9) - (-6328)\/12) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*6 + (-50)\/194700*-177.\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/18)\/(1\/6). Suppose -5*l + 47 = -173. Suppose 5*b + 3 = 4*b, -q*i - 2*b + l = 0. Solve 10 - i = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370.832um in millimeters?\nAnswer: 0.370832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q - 5. Let d be k(1). Solve -2*o - 2*f = f + 16, -2*o + d*f = -12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/((-2)\/(1 - 3)). Suppose -k = -i - 4*i. Let l = i + 9. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 19*d - 2193. Give v(110).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2125 is divided by 152.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 635779 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**3 - 20*n**2 - 161*n + 2455. Let a(o) = 6*o**3 + 26*o**2 + 161*o - 2449. Let d(u) = 4*a(u) + 5*z(u). Find the first derivative of d(y) wrt y.\nAnswer: -3*y**2 + 8*y - 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 11:04 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9)*108\/(-8). Suppose d*b - 3 = 6*b. Let s(j) = -b - 3*j + 8*j - 6*j. What is s(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 656\nAnswer: -9\/656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 9*h**2 - 8*h - 4. Let r be k(8). Let j = r + 7. What is the units digit of 8\/(-3)*-3 + j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 14*x**2 - 13*x - 20. Is o(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2289885, -2289887, -2289889, -2289891, -2289893, -2289895?\n\"Answer: -2*c - 2289883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 16. Let c be ((-4)\/6)\/(3\/n). Let a be (c\/(-5))\/(2\/(-60)). What is the greatest common divisor of a and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3 + 172*y**2 - 4240*y = 0.\nAnswer: -106, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10276 + 4518*h**2 + 0*h + 0*h - 10276.\nAnswer: 4518*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1203, -1198, -1189, -1176, -1159, -1138, -1113?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 37 + q**3 + q - 2*q**3 + q**2 - 38. Let s(m) = -32*m**3 + 4*m**2 + 12*m - 12. Let j(y) = -12*l(y) + s(y). What is the third derivative of j(d) wrt d?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2948216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -56\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -12. Differentiate -6 - 2*j**3 + 9 + 0*j**y wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 367.38 and 20792183?\nAnswer: 20791815.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 3*f + 1. Let l be b(-4). Let w = 0 + 1. Suppose -s = w - l. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*p + 55 = 0, p = q + 2*p - 15. Calculate the remainder when 568 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12413 * -5.\nAnswer: 62065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 + 3*c**4 + 2*c**4 + (-5 - 4 + 1)*(4*c**4 - c**4 + 3*c**4) to the form d*c**3 + x + q*c**2 + u*c**4 + o*c and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326009 and 1902079.\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2*w**2 + 6*q**2 + 73*q + 41*w**4 wrt w.\nAnswer: 6*q**2*w + 164*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 10*m - 6*m - 9*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*d + 6*o - 12, 5*o - 29 = -2*d. Let b be (24 - 19) + (1 - d). Calculate the greatest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3189677 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**3 + 32*p**3 + 38*p**3 + (p - 3*p + 3*p)*(4*p**2 + 10*p**2 - 2*p**2))*(p + 0*p + 0*p) to the form s + j*p + f*p**2 + y*p**4 + a*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15660005527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 80 = 2*b - 21, -76 = -4*h - 4*b. Let x(v) = -v + 47 + v**2 - 5*v - 7*v - 7*v. What is the tens digit of x(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/861 and 151\/2214?\nAnswer: 15498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -87*s - 487. Let i be x(-6). Calculate the greatest common divisor of i and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 161*d**4\/2 + d**3\/3 + 10. Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -2.1. Which is the second smallest value? (a) z (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2013 or -2086?\nAnswer: -2013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 3*y - 5. Let i be v(-4). Let g(z) = 12*z - 14. Let k be g(-2). Let d = k + i. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -19*q**2 - 24*q + 67. Let w(f) = -19*f**2 - 23*f + 68. Let u(i) = 2*h(i) - 3*w(i). Let x be u(5). Calculate the highest common factor of 68 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n + v - 274 = 0, -5*n + 5*v = -470. Let i = -8 + n. Let a = i - 70. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and 3584 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 27*q + 301. Give x(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 - l. Let b(r) = -1301*r + 4. What is b(a(q))?\nAnswer: 5204*q**2 + 1301*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 144630 and 0.3?\nAnswer: 43389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -4 - ((2 - 433) + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyywyyywyyyyqyyy?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44314749 and 846?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/22491 and -59\/4590.\nAnswer: 224910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 9 - 9 - 7*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - s = 0, 2*s = s + 2. Let h be 66 - 1*(1 - i). Suppose -5*x - m + h = -2*m, -2*x - 2*m + 16 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -20. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2977 - -2974. Let b(k) = -1. Let q(v) = v + 1. Let g(i) = -3. Let f(n) = 2*g(n) + 3*q(n). Calculate j*b(s) + f(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l = -123*l + 27778. What is the highest common divisor of l and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 12. Let v(x) be the first derivative of x**2\/2 + 11*x + 13. Let y(b) = 3*o(b) - 4*v(b). Suppose 0 = 31*c - 36*c + 30. What is y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58401330 to the nearest ten thousand.\nAnswer: 58400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygyyyygggyyyyygyyg. Give prob of picking 3 g and 1 y.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {b: 5, f: 5, v: 1, d: 6, l: 3}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.52 + 0.12. What is the third biggest value in h, -1\/2, 2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4147.0174 - -482.7038.\nAnswer: 4629.7212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102102459 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 27*t**2. Let c be w(1). What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + 6 + 23 = 0. What is the closest to 0.1 in 1, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r - 4. Let v(z) = -3*z + 13. Let o(h) = -10*h + 45. Let t(i) = 2*o(i) - 7*v(i). What is n(b) - 6*t(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 10. Let d be s(-5). Solve d*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1 (b) -2\/23 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035302 to five dps.\nAnswer: 0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k. Suppose 0 = 5*a + 2 + 18. Let h be g(a). Calculate the remainder when 8\/h + (-170)\/(-8) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 359642, 359631, 359620, 359609, 359598, 359587?\n\"Answer: -11*z + 359653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1139.6423 to 0 dps.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68228 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmrrrmu. What is prob of picking 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16929, 33869, 50821, 67791, 84785?\nAnswer: 101809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83610, -83405, -83200, -82995, -82790?\nAnswer: -82585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2775 divided by -5?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32.078 - -0.078. Let t = -34 - v. Let a = 2 - t. Sort a, 1, -5 in increasing order.\nAnswer: -5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**6\/24 + a**5\/15 - 11*a**4\/24 + a**3\/3 - 73*a**2\/2 + 60. Let i(r) be the second derivative of p(r). What is o in i(o) = 0?\nAnswer: -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*b**2 + 114*b + 10*b**3 - 114*b wrt b?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 11378*g**2 - 205290*g + 924534.\nAnswer: 2*(g - 9)**2*(g + 5707)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 777814010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-418)\/(-1292) + 1\/2. Let -6\/17*a**3 - 4\/17 + n*a - 4\/17*a**2 = 0. What is a?\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*r + 6 - 3, t - 3 = -r. Solve -3*z - 4 - 5 = r, 4*z + 6 = -3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492201 and 105221636.\nAnswer: 946994724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3331475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqvgvgbvgqqgqu. Give prob of picking 1 g and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, -67, -16, 211, 704, 1553, 2848, 4679?\n\"Answer: 15*b**3 - 47*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**2*x - 4749*r**2 + 25406*x wrt r?\nAnswer: -2*r*x - 9498*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*m - 895*m + 5*r - 59 = 0, -3*m - 6*r + 4*r = -25 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 580, 5, 3 in descending order.\nAnswer: 580, 118, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2031 - 1253?\nAnswer: -3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**5 + 140*n**4 + 1060*n**3 + 1600*n**2 = 0?\nAnswer: -16, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -773*a - 1 + 218*a + 548*a.\nAnswer: -7*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 6*w**2 + 78*w + 560. Calculate the remainder when h(-7) is divided by 164\/10 - (-2)\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9310000 rounded to the nearest one hundred thousand?\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*d - 2*m - 8, -5*d + 3*m + 30 = 0. Suppose 48 = d*q + 30. Solve 0 = b - q*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8664621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by -825969.\nAnswer: 33\/275323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104491 is divided by 3473?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -111 (b) -2 (c) 4 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -968142, -3872588, -8713332, -15490374, -24203714?\nAnswer: -34853352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 24 = c - 21, 0 = -4*c - 26*w + 26 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.602 + 1.347. Which is bigger: c or -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46088618 less than 0?\nAnswer: -46088618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f + 5*f + 2*f - 4*f + 4893.\nAnswer: 3*f + 4893","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*n + 12 = 4, 0 = 5*k + n + 28. List the prime factors of (3 + k)*(-1986)\/12.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -35\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/9)\/(-2))\/(5\/(4485\/26)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2394 and 252?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40077136 and 9680.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y + 116. Calculate r(15).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -422 + 466. Calculate the remainder when 163 is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-17))**(-21) assuming r is positive.\nAnswer: r**357","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2) - (2 - 1). Does 12 divide (-4 - f - 0)*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 86 + -55. Let o = -27 + a. Factor 11*h - 4 + 4*h**2 - 27*h + 12*h**3 + 8*h**3 - o*h**3.\nAnswer: 4*(h - 1)*(h + 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 26*t**2. Let r = -53 - -51. Let i be ((-3)\/r)\/((-12)\/68)*-16. Let q(w) = -w - 136 + i - w. What is q(p(f))?\nAnswer: -52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5277, -10439, -15601?\nAnswer: -20763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117242*o**2 - 5*o + 5*o + 117248*o**2 - 234479*o**2.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 78291, 68377, 51853, 28719?\n\"Answer: -3305*t**2 + t + 81595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)**(1\/11)*j**(6\/5)*j**(-8) assuming j is positive.\nAnswer: j**(-369\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:31 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*w**5 + 2*w**3 + 596*w.\nAnswer: 220*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 374935, 374937, 374939?\n\"Answer: 2*b + 374933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(75\/18 + -4). Let a be 1\/(-3) - 600\/36. Let s = n + a. What is the highest common divisor of 9 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (444\/(-333))\/(8\/78) + (-37 - -1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 49*w**2 - 160*w - 34. Determine g(-52).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.6. Let n(v) = 4317*v - 427380. Let q be n(99). Which is the smallest value? (a) 21 (b) -3 (c) q (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 208 = 2*o - 15*m, 14 = 2*m. Solve 6 = 21*n + o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -357*f**2*w + f**2 + 10*f*w + 87*w wrt f?\nAnswer: -714*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/60 - 11*l**5\/30 - 101*l**4\/3 - 252*l**3 - 13*l**2 + 2. Factor r(v).\nAnswer: 2*(v - 27)*(v + 2)*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 102379\/11 and 9307 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182193*u - 74615?\nAnswer: -182193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*i - 11, c + 0*i - 3*i + 11 = 0. Is (2 - 1)*c - 12852\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:35 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/((4\/(12\/(-1)))\/1). Suppose q = x + 8*x. Solve -5*s = -x*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -746, -1, 5, 3.\nAnswer: -746, -4, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5102504 (base 9) to base 8.\nAnswer: -12274651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3559432.\nAnswer: -1\/1779716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9486 is divided by 161?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 836 and 41656.\nAnswer: 8706104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.371 - -2.3710004643. Round z to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392467*m**4 + 2*m + 148*m**2 + 150*m**3 + 392519*m**4 + m**5 - 14*m + 61*m = 0. What is m?\nAnswer: -49, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26b1 (base 14) to base 8\nAnswer: -15243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 1904 + 1864 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3123*b + 1664*b - 197 = 8557 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9737*n*p**3 - 2*n*p**2 + 11*n - 196*p**2 wrt p?\nAnswer: -58422*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -5)\/((24\/(-27))\/(-4)). Suppose -4*j + 4228 = -2*j + 2*m, m + 8456 = 4*j. Find the common denominator of 51\/16 and (j\/24)\/(-7) + (-6)\/v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176828.4 days in weeks?\nAnswer: 25261.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/2060 - 727189\/6180. Let x = -118 - d. What is the smallest value in -2, -18, -0.5, x?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6026 is divided by 986.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 6295262.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13020 by -3255.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 6 - 4*r - 18*r - 4*r**2 + 4 to b*r + d*r**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -c - 3*h, 0*h - 4*h = -5*c - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 11*i**2 + 15*i - 8. Let m be h(4). Suppose 16 = m*z - 4. Solve k + 3 = z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/((-189)\/(-30)))\/(4\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/45 (b) -3 (c) -47 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4 + 11*b**3 + 5 + 0. Determine l(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**5\/60 + 11*z**4\/12 - 10*z**3\/3 + 17*z**2. Calculate the remainder when k(20) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150 rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/45*3*-1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-7 - -2) + 1 + -5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.55cm to meters.\nAnswer: 7.8055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a - 5. Let n(u) = -9*u - 4. Let f(t) = -4*c(t) + 5*n(t). Give f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 387*k = 382*k - 4675, 4*k = -2*x + 3124. Does 65 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 120 - 139 - 16)*(-p + p**2 + p) + 27 + 25*p**2 - 27.\nAnswer: -209*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -6286081?\nAnswer: 6286077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -3 + (500 - 425)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 - 0.32. Let v = 14.93 - 15. Let x = h + v. Which is bigger: -2\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) -4 (d) -10\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9 + o**2 + 9 - 12 - 4*o. Let z be t(8). Let b = z + -32. Calculate the smallest common multiple of b and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 22*a - 100. Suppose -2*h + o + 4 = a*o, 2*h - 2*o - 22 = 0. Solve b + 4*b - h = -3*p, 4*b + 3*p = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 14*c - 16*c + 679083, 9 = -3*c. Let i(v) = v + 5. Let l be i(-5). Suppose -2*p - s + 50363 = l. Round p to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/178 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-11)\/33 - (-11)\/39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Let l = -2.48 + -239.52. Let q = -242 - l. Which is the closest to q? (a) 2\/11 (b) v (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/((x*x\/(x*x**(-1\/8)))\/x))*x)**(-39) assuming x is positive.\nAnswer: x**(-663\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021933607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3870572 and 9?\nAnswer: 34835148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3351856423 from -167368.\nAnswer: -3352023791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -139.\nAnswer: -695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = 23*z + 30. Suppose -4*x - 186 = -z*x. Calculate the remainder when x is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3645)*-3 + 3).\nAnswer: -6 + 162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + t + 13, 245821*g = 245816*g - t - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/(4\/(-9)). Suppose 4*l = -2*d + 14, 2*d + k*l = -2*d + 38. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.341494701 - 0.2775?\nAnswer: 0.063994701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -t - 5*o, 2*t + t - 3*o = 0. Let b be (t\/(-2))\/(-6)*1. What is the nearest to 2\/7 in b, 2\/9, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.848.\nAnswer: 0.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -3*u - 46. Does 3 divide 62\/5 - u\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -382*k**3*l**3 - 3*k**3*l + 2*k**3 + 3*k**2*l**3 - 3*k**2*l + 74*k*l wrt k.\nAnswer: -2292*l**3 - 18*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.62279558 rounded to two dps?\nAnswer: 23.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 5)*(-r - r - r) - 3 + r + 3 + (r + 0 + 0)*(3 - 1 - 1) - 2*r + 4*r - r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 39 = 5. Let k(t) = -t**2 + 3*t - 2. Let z(i) = -3*i**2 + 8*i - 6. Give j*k(c) + 4*z(c).\nAnswer: -c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 8*b + 18*b = -80 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - ((-4*(-2 + sqrt(75)))**2 - sqrt(75)).\nAnswer: -1264 + 330*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/(-5) - 38\/(-190). Solve -12 = 5*g - g + l, 0 = -2*g + k*l - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**7\/840 + p**5\/40 + 2*p**3\/3 + 2. Let z(j) be the third derivative of i(j). What is the second derivative of z(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*v - 8377 - 6139 = -1791 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 368, -4, 10, 1\/33, 0?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 7311*k**4\/4 + 23*k**3\/3 - 13*k**2 + 2*k + 626. Find the third derivative of r(w) wrt w.\nAnswer: 43866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/3)\/1)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49044 and 3241996?\nAnswer: 593285268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 4*f**2 - 4. What is the smallest common multiple of 20 and w(-3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007995 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 27. Let y(l) = 19*l - 136. Let w(f) = -11*p(f) + 2*y(f). Let n be w(-5). What is the highest common divisor of 33 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 15*m + 2 - 7 + 2. Let i(k) = -7*k + 5 + 2*k - 4 + 0*k. Let w(n) = 2*a(n) + 7*i(n). Give w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 + -2.8. Let u = 0.8 + a. Let o = -2.691 - u. What is o rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 3*o**3 + o**3 + (-5*o + 4*o + 2*o)*(0*o - 2*o**2 + 0*o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(76) + -1 + -2)**2 + 3 - ((sqrt(76) - 2*2*sqrt(76))**2 + (0 + sqrt(76) + sqrt(76) + 4 + sqrt(76))**2)).\nAnswer: 180*sqrt(19) + 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54144253 (base 6) to base 7.\nAnswer: -16413255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/140 and -115\/154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.322 - 0.01?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3*g + 7)*(114*g**2 + 24*g**2 - 593*g**2).\nAnswer: 1365*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 108569 = 21*i - g, 3*i = -4*g + 65155. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-3)\/(-1 + 0). Let m = n + -1. Let x(o) = 3*o**3 - 3*o**2 - 3. Let b be x(m). What is the greatest common factor of 34 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + (sqrt(45)*-2)**2)*1.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -613, -6, 5, 52 in descending order.\nAnswer: 52, 5, -6, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224\/96 - 6\/(-24) - 20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 25945, -0.2, -0.3.\nAnswer: -0.3, -0.2, 0.1, 25945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1030969515 by 1296817.\nAnswer: -795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3195 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198117184?\nAnswer: 2, 17, 211, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.039 + -0.039. Let h(q) = q + 7. Let t be h(-6). Suppose 0 = -5*k + 2*n + 4, -4 = -2*k + 3*k + 2*n. Which is the nearest to g? (a) k (b) 1\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -266891913 to the nearest ten thousand.\nAnswer: -266890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400297698?\nAnswer: 2, 3, 7, 2837, 28537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhuhhhhhhhhhu. Give prob of picking 2 u and 1 h.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-33))\/((-27)\/(-81)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s + 7. Let i be u(-2). Let n be (3 + i - -15) + 1. Solve o = -5*k - 20, 2*k = 6*k + 2*o + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, 8, 55, 140, 275, 472, 743, 1100?\n\"Answer: 2*m**3 + m**2 + 4*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -753*q**2 + 279*q**4 - 776*q**2 + 1530*q**2 + (-5*q**3 + 0*q**3 - 6*q**3)*(0*q + 0*q + q) to a*q**3 + j + h*q**4 + b*q + y*q**2 and give h.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**4 + 197*t**2 - 197*t**2 + 3*t**3 + 2*t**4 - 3*t**3 + 2*t**4 + 2*t - 2*t + (-5*t + t + 3*t)*(-85 + 10*t**3 + 85).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 31, 35, 41, 49?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*r - 133*r = 18. Solve -r*o = 4*c + 6, -c - 3*o - 1 - 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 811*r**2 - 2338*r**2 - 2313*r**2 - 2085*r**2 as b*r + j + l*r**2 and give l.\nAnswer: -5925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - -42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from ddefs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -2 + 0 + 0. Let z = 1 + i. Suppose -33*d = -28*d + 25, -28 = -x + 4*d. What is the highest common divisor of x and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 - f**2 - f + 4. Let l be m(0). Solve -52*x - 4*r = -53*x - 14, -l*r = 4*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200003111123 (base 4) to base 15\nAnswer: b0e862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, 306 in descending order.\nAnswer: 306, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -8) + -2 + (10 - 15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - u + 2*u + (5*u - 2*u - u)*(-4 + 5 + 0) + 2 + 2*u - 2 + 70*u + 0*u + 43*u + (3*u - 6*u + 0*u)*(-3 + 4 + 2) to f*u + d and give f.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(171)*1 + -4 + sqrt(171)*2 + 1)**2.\nAnswer: -126*sqrt(19) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78581986 and 931?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/11*((-1524)\/(-72))\/127.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 - -1012200?\nAnswer: 1021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - -247. Let u = 467 - s. List the prime factors of u.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 5*k**2 + 3*k - 2. Let m be l(-4). Solve -2 = m*d, -4*d + 0 + 1 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u - 3 + 0*u**3 + 13*u**2 - 11\/4*u**4. What is the second derivative of s(x) wrt x?\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b. Let f(r) = -155*r - 623*r + 540*r - 569*r - 226*r. What is y(f(c))?\nAnswer: -6198*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609297?\nAnswer: 3, 13, 17, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12355862.\nAnswer: 2, 277, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.46 + -0.26. What is the nearest to -2 in 0.4, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/5 - 1\/(-5). Is 3 a factor of 9*(6\/(-2))\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 240665.9 * 0.4.\nAnswer: 96266.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {n: 1, z: 4, k: 1, f: 1, i: 1, u: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1071*g - 812 + 1124*g + 810 + 2*g**2 - 3*g**3 to w*g + u*g**2 + l + v*g**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*-1*((sqrt(125) + sqrt(125) + (sqrt(125) + 1)**2)*-4 + sqrt(125)).\nAnswer: -5040 - 750*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f**2 - 106*f**2 - 1 + 48*f**2.\nAnswer: -f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -95*a - 13. List the prime factors of q(-4).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4))\/(5616\/(-260))*-1. Is a at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 25 + 6)*(-2*w - 2*w + 6*w) + 4*w - 6*w + w + (3 - 2 - 3)*(2 - 2 + 2*w) + (0 + 5 + 3)*(-5*w + 3*w + 0*w) to n*w + c and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000649144319 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1713762 and 36.\nAnswer: 3427524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**4 - 3*b**3 + 8*b - 8*b)*(4 - 3 - 3) - 733*b**4 - 40 + 40 to w*b**2 + f + g*b + l*b**3 + n*b**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*w = -5*c - 9, c = w - 2. Let o = c + 11. Suppose 4*l = p - 2, -5*l + 18 + 7 = 0. What is the least common multiple of o and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/54 and -97\/78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j**3 - j - 8*j**3 - 2*j**2 - 7*j**3 + 6*j**3 wrt j?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42882?\nAnswer: 2, 3, 7, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.038 times 0.1192\nAnswer: -0.0045296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1286.8 - 1287. What is the closest to j in 1\/52, 1\/3, 0.1, 3?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 29. Let m = -9 - t. Put 3, 2, m in ascending order.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 23*v**2. Let s(z) = -16*z - 8*z + 23*z. Determine n(s(b)).\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/12 - ((-354)\/(-3) - 17)\/(-124)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 4:33 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615653, 1231331, 1847009, 2462687, 3078365, 3694043?\nAnswer: 4309721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37807 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364957 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -15*w - 177. Determine n(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41144 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o**2. Let x(r) be the first derivative of r**5\/60 - 55*r**2\/2 - 59. Let k(u) be the second derivative of x(u). Determine v(k(n)).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 + 9*f**2 - 3*f + 1. Let q(u) = 5*u**3 - 10*u**2 + 4*u - 1. Let r(v) = -6*o(v) - 5*q(v). Let k = 6 + -10. What is r(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8110, -3572, -15254, -26936, -38618?\nAnswer: -50300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2622 (b) 2\/5 (c) -0.1372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 103*c - 1442. Let p be s(14). Solve p = -7*y + 9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 150 - 9?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 3)*((-15)\/(-10))\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 521312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 635096 divided by 1031?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 1 - -1)*1. Let r(x) = 3*x**3 + 3. Let y be r(i). Suppose y*q = 32*q. Solve -3*a + q*a = -15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5840456*a**3 + 655921*a**2 - 6*a wrt a.\nAnswer: -35042736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 222061634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-16 - -12) + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*c - 5*c = -3*c - 15, 0 = 21*a - 5*c - 7 + 86 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhhhzhz. Give prob of picking 3 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 762 + -845. Put z, -5, 2 in ascending order.\nAnswer: z, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(51\/(-17)) + 0 + 1212. Let u = b - 719. Calculate the smallest common multiple of 6 and u.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 147*i - 132. List the prime factors of f(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8840067*s**2 - 563008 wrt s?\nAnswer: 17680134*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3003892 rounded to 4 decimal places?\nAnswer: -0.3004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 93345542 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(30\/4))\/(11\/110)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16669055989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 7 = 2*v. Suppose v = -2*q - 4*y, 0*q - 2*y - 28 = -4*q. Let h(i) = i + 2 + 2 - i**2 + 3*i - 1. What is h(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -68\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9971 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(91) - (-1*sqrt(91) - sqrt(91))))\/(sqrt(21)\/(sqrt(12)\/sqrt(4))))**2 - (2*(3*sqrt(13) - sqrt(13))**2 + sqrt(65)\/sqrt(5)*2).\nAnswer: -2*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/((-448)\/1750) - -1. Solve -93*z + y + 525 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5104 = -4*c + 9799, -2*i + 29836 = 2*c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 11:28 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -15 + 0*d**5 + 0*d**4 + 10\/3*d**3 + 0*d**2 + 0*d**6 + 43\/7*d**7 + 0*d. What is the third derivative of i(t) wrt t?\nAnswer: 5160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13890 and 3585?\nAnswer: 3319710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805*s = -2228*s - 269937 for s.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*100\/(-260)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 1360672*v\/3 - 462857072896\/3.\nAnswer: -(v - 680336)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -192*n**2*v**2 + 28*n**2 - n*v**2 - 26*v**2 - 72*v wrt n.\nAnswer: -384*v**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 959944761 to the power of 1\/3, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/7*t - 64\/7*t**2 + 4*t**3.\nAnswer: 4*t*(t - 2)*(7*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 1301, 2904, 5147, 8030?\nAnswer: 11553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2584508 * -25\nAnswer: 64612700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c - 6, 5*c - 910 = -5*w. Calculate the remainder when w is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(3*n**2 + 2 - 2) + 4*n - 4*n - n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003845178565 rounded to seven decimal places?\nAnswer: 0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) 4 (b) 140 (c) 0.4 (d) 5 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 112, 2\/545, -0.07 in ascending order.\nAnswer: -0.07, 2\/545, 1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 248 + -261. Let b = -48 - -68. Let m = u + b. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4285879116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 4:56 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 10:43 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3\/f**2*f**(2\/5)*f**4 assuming f is positive.\nAnswer: f**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 241 and 53052535?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -d - 5*s, 3*s + 3 = 3*d. Let q = d + 8. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 34*b - 2. Let r be d(3). Let h be 2\/(-10) - (-1256)\/(-20). Let i = h + r. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 186307 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 + -41?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 217 = 5*g - 244, t = 4*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87676816, -175353634, -263030452, -350707270?\nAnswer: -438384088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 11*w**2 - 3*w - 25. What is v(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjjauautjaauuaaatu. Give prob of sequence ut.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7635 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -310425 + -623?\nAnswer: -311351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 477*p**2 + 478*p + 2. Give w(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 7, k: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -2\/7 (c) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 3 + 3)*((7 - 1 + 2)*(2*t - 3*t + 3*t) + 2*t + 3 - 3 - t + 3*t - t + 5 + 2*t - 5 + (5*t - t - 2*t)*(1 + 2 - 5)).\nAnswer: -68*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, 2, 190, 476, 860, 1342, 1922?\n\"Answer: 49*n**2 - 57*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*x + 2*f + 1, 23 = x + 5*f. Let b(u) = u**2 + 3*u + 3. Let m(j) = j**2 + 2*j + 2. Determine x*m(t) - 2*b(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 10032489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:53 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 1, 20, -6.5, -4\/3, 2, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -4*f - 3. Let t(k) = -5*k - 2*k**2 + 6*k**2 + 0*k**3 + k**3. Let p be t(-5). Solve -3*i + p*i = f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - 5*z)*(2 - 2 + z**2) - 2*z**3 + 0 + 0 + 22 - 44*z**3 - 887299*z**2 + 887299*z**2.\nAnswer: -49*z**3 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -16. List the prime factors of 30\/2*u\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13f214 (base 16) to base 2\nAnswer: 100111111001000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {w: 1, v: 2, l: 1, n: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 - 18 + 18)*(92 + 5*o - 92)*(5*o + 0*o - 3*o).\nAnswer: -50*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 minus -1.658482924?\nAnswer: 1.798482924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47963847 a multiple of 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.3 - 0.7. What is the second biggest value in -3, a, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-10)*(-10)\/4. Let f be -104 - (-62748)\/441 - 36. Factor f*m**3 + 36\/7*m**j + 0 + 8\/7*m.\nAnswer: 4*m*(m + 2)*(4*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*15*5\/(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 1 (c) 0 (d) -0.07443 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011111101111 - -10100?\nAnswer: -100011111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohh when three letters picked without replacement from {t: 3, r: 1, o: 4, h: 6}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggccgcg. Give prob of picking 1 c and 1 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + (-6)\/(-4). Suppose -3*l - a = -u*a + 2, 0 = 2*l - 3*a + 6. Suppose 0*h**2 - 2*h**5 - 1\/4*h**3 - 3\/2*h**4 + 0*h + l = 0. What is h?\nAnswer: -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 5:44 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -v + 5*n, 3*v - 85*n + 90*n - 12 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -115. Let m(h) = -6*h + h + 2*h + v*h. Let k(b) = -3*b. What is k(m(q))?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/2*(-9)\/(-8 + 26). Suppose 11*h = u*h + 21. Put 2, 33, h in ascending order.\nAnswer: 2, h, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.963*-65656\nAnswer: -128882.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 5*q + 2. Suppose 3*x + 1 = -q*z + 12, -5*z = -3*x - 17. Which is the nearest to -1? (a) z (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 8}. What is prob of sequence zz?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81715\/6 + 13618. Suppose -5*d = -3 - 2. What is the second biggest value in d, 3, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 389405 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*f + 9 = 0, 2*f - f + 17 = 5*h. Suppose -j = -4*v + h + 6, 4*j - 3 = 3*v. Let n(u) = u - 3 + 3 - j + 2. Determine n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6020508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jt when two letters picked without replacement from rttktuktjtkttktrtk?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 + 4*v**3 + 12*v**3 - 15*v**3 + 3*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4.9. Let l = i - 3.099848. Round l to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, -1, -11 in decreasing order.\nAnswer: 287, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(3 + -7 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/5)\/b**10 assuming b is positive.\nAnswer: b**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 63, 95, 127, 159?\n\"Answer: 32*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 5*w)*(-3 + w**3 + 3)*(84 + 9*w - 33*w + 23*w).\nAnswer: -5*w**5 + 420*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8 + -5. Let f = 3.37 + u. Let l = -2.17 + f. Which is smaller: l or -2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*d - 10*d + 102 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -5*l + 2*l. Let s = l + 47. Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41613, -166494, -374641, -666060, -1040757, -1498738, -2040009, -2664576?\n\"Answer: -z**3 - 41627*z**2 + 7*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8114, 9387, 10660, 11933?\n\"Answer: 1273*u + 6841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949438 is divided by 473734.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/3 + 3\/2. Let p = 315.5 + -316. Which is the second biggest value? (a) p (b) -4 (c) r (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 10475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -0.5, 9\/7, 0.1, -4, 1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 272 = 46*r - 44*r, 2*r = 5*a - 416. What is the remainder when a is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*c**3*q*y + 294052*c**2*q**3 - 2*c*q*y + 5*c - 7*q**3 - 9*q**2*y + 115*y wrt c.\nAnswer: 66*c*q*y + 588104*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - 45. Let m(x) = -x**2 + 8*x + 11. Let h be m(9). Suppose h*w + 3*u = -2, 2*u - 14 = -5*w + 4*u. Solve -w*l + z = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 91749?\nAnswer: 91749.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1489*l - 5 = 1484*l. What is the greatest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from {v: 8, j: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.553620634 to four decimal places.\nAnswer: 0.5536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11504502 (base 7) in base 10?\nAnswer: -1026846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(10\/3 - 3). Is -6\/11 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -5*k - 9*w, -37*w + 38*w = 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 4.15.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 907 - 5?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052601?\nAnswer: 3, 11, 167, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 41*s**2 - 44*s - 79. Let q be f(-42). What is the second derivative of 2*t**5 - 270*t - 7*t**5 + 8 + 52*t**q - 8 wrt t?\nAnswer: 940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 120066?\nAnswer: 120061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142\/28 - 2\/4 - 5.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/24 - b**5\/60 - b**4\/6 - 10*b**2. Let i be x(-9). What is i rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 9692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1232 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*k**3 + 60*k**3 + 117*k**3 + 140*k**3.\nAnswer: 428*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - -1.1. Let v = x + -5. Which is the biggest value? (a) v (b) 2\/31 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185ebf (base 16) in base 3?\nAnswer: 10000010211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*s - 33*s - 30*s = -5859 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/2 of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 102 = 24*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 12 = -8. Suppose t*g - 11 = 4*n, 0*n + 2*g - 11 = -5*n. Suppose -74*j = -83*j - 9. Sort n, -3, j in decreasing order.\nAnswer: n, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 3*f + 2*f**2 - 5*f.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4170295983 to the nearest integer?\nAnswer: 64578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25638457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3543, -3509, -3467, -3429, -3407, -3413?\nAnswer: -3459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16705028.\nAnswer: 2, 19, 73, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.3213 kilograms in nanograms?\nAnswer: 94321300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 11 = 2*l - 1, 2*d + 4*l = 24. Solve 0 = 3*c + m + 2, -3*c - 4*m + 10 = -d*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/165 and 49\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.2866 - 1.4274. Let q = n + 10.713872. Let l = q - -7. What is l rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13101462 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(500) - (sqrt(500) + -3*sqrt(500)*6))*6 + sqrt(500) + (2*sqrt(500) - sqrt(500))*3 + -2 + sqrt(500)*2 + -5)**2.\nAnswer: -31920*sqrt(5) + 12996098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*n = 139*n. Sort -32, -5\/4, n in ascending order.\nAnswer: -32, -5\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 3 + (-19)\/(-4))*4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssddsdsssss. Give prob of sequence ss.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 9.79. What is the nearest to o in 1, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*w**2 - 5*w**2 + 20*w**2 + 2.\nAnswer: 110*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2. Let c(l) = -13797*l**2. What is h(c(y))?\nAnswer: -190357209*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/15)\/(166\/747)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {j: 2, c: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188224 is divided by 211.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 60*m**2 - 82*m + 40. List the prime factors of n(-9).\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*s + 15, 0*s + 5*s - 10 = 0. What is the smallest common multiple of r and 100\/18 + (-32)\/(-72) + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 1, z: 4, e: 8, n: 6}. Give prob of picking 2 n.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0383922 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:30 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 138277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*m**3*t**2 - 2*m**3*t - m**3 + m**2 - m*t**2 - 12*m - 112*t wrt m.\nAnswer: 834*t**2 - 12*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38430 is divided by 211.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/186 and -85\/4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -719942*o**2 + 1438397*o**2 + o**3 - 719855*o**2 to n*o**3 + t + w*o**2 + m*o and give w.\nAnswer: -1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from {r: 1, j: 3, q: 2, v: 3, e: 4, o: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + t)*(t**2 + t**2 + 0*t**2) - t**3 - 2 + 2 + t**3 - t + t + 44*t**3 + 2499 - 1246 - 1247)*(-1 + 1 + 15).\nAnswer: 690*t**3 + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 82. Let l = r - -89.7. What is l rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001881 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-60)\/(-8))*-30. Solve 4*p + d + 8 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -5) + (-4 - (-7 + 1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 4:42 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = n + r - 3079343, 0 = -5*r + 5. Suppose 5*u + 4796744 = a, 5*u - 3335573 + 8132309 = -a. Let w = n + u. What is w rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.74454m in millimeters?\nAnswer: 8744.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5 - 6) + 9 + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1443 divide 32322099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d**4*((d**(-2\/3)*d)\/d)**(17\/2))**(-17) assuming d is positive.\nAnswer: d**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26921895.2000074 - -26921904. Let p = w - 8.8. Round p to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(704)*-2)**2 + 4.\nAnswer: 2822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (29 - 31) - -15.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 9:42 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22251.831 rounded to the nearest 10?\nAnswer: 22250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 13*w**2 + 271. Let i(y) = 5*y. Calculate -14*i(t) + 3*p(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616532.\nAnswer: 2, 7, 97, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/36 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 6*a + 3. Suppose -4*b + 33 = 9. Let y be c(b). What is the second derivative of -k - 3*k - 7*k**3 + 16*k**y wrt k?\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1098, 9018, 30628, 72804, 142422, 246358, 391488, 584688?\n\"Answer: 1146*j**3 - 31*j**2 - 9*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -587 = -8*h + 117. Let r = 89 - h. Let b = -2320 + 294638\/127. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451704926?\nAnswer: 2, 17, 101, 199, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4502676.\nAnswer: 2, 3, 375223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8083470, -16166941, -24250412, -32333883, -40417354, -48500825?\n\"Answer: -8083471*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 30*o**2 + 97*o + 300. Give y(9).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318741 plus -1259949857?\nAnswer: -1259631116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 191396790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 18 = -2*g, 0 = 5*u + 5 + 20. Solve 2*k + g = -9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.45, -5, -2 in increasing order.\nAnswer: -5, -2, 0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -y + 3, 0 = -2*t + t. Suppose 0*v = -y*v - 840000. What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p\/((((p\/(p*p**(-2\/25)))\/p)\/p)\/p*p)*p)\/p*p**6*(p**(-2))**(5\/2))\/(p*p*p**(-1\/28)*p\/((p**(-1)\/p)\/p*p))**(1\/2) assuming p is positive.\nAnswer: p**(6213\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.731 + -0.069. Let c = y - -3.6. Let h = 0.2 - 5.2. What is the nearest to -1\/3 in h, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 + 4?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 490029 + -489974. Calculate the remainder when t is divided by (0 - -4)*(-19)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + p = -4*d + 10, 4*d = 5*p + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let u be (-15 - -13)\/((-2)\/9). Suppose -14*a + 240 = -u*a. Let i(m) = -20*m - 1 - 1 + a*m - 26*m. Calculate i(f(k)).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1151756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 834146 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 0*u**3 - 913549*u**2 + 2*u + 10 + 913545*u**2. What is o(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 7. Suppose 13*b = 9*b - 28. What is the remainder when 96 is divided by f(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*o + 53*o - 3146. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 2. Let b(w) = -v*w**2 + 3*w**2 - 9 + 7 - 2*w. What is the remainder when b(6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -214 and -0.101126.\nAnswer: -214.101126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 354234 (base 6) to base 7\nAnswer: 155461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3297 - 3\nAnswer: -3300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + k + 8. Give n(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*b)*(-3*b + 3*b + 2*b) + 37*b**2 - 73*b**2 - 349*b**2 + 0 + 2*b**2 + 0 + b + (-2*b + b + 0*b)*(-2*b + 1 - 1) + 0*b - b**2 + 0*b.\nAnswer: -378*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11)*w**13*(w**2*w*w*w)\/w**(-16) assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-53 + 1783)*(-3)\/(-2)?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.19, 3, -4, -2\/3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -19, 5, 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3205640 and 2243948?\nAnswer: 22439480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3060, -12306, -27722, -49302, -77040?\n\"Answer: s**3 - 3091*s**2 + 20*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7dda (base 16) to base 13.\nAnswer: -11884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1827220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -104854?\nAnswer: -104862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14736, -20551, -26342, -32097, -37804, -43451, -49026?\nAnswer: -54517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 178. What is the remainder when i is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 13*g + 5, 5*g = -5*v + 50. Suppose 0 = r - 4*i - 152, -6*i = -i - v. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16*-2*60\/135\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/54900 and -137\/5490?\nAnswer: 54900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j**2 - 12*j - 5. Let u(p) = -7*p**2 - 13*p - 4. Let d(y) = 3*q(y) - 2*u(y). Calculate d(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -722 - -724. Suppose 3*m + m = 20. Suppose -r*w + 3*n = -1343, -3364 = -m*w + 3*n - 2*n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1690 and 97\/10.\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74811285 - -10591285. Round g to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201752088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9049918 - -3799918. What is p rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 5b?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2cc + 2212?\nAnswer: 1d24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6405 is divided by 200.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 0 + 0 - s**2. Let r(x) be the third derivative of x**8\/5040 + 3*x**5\/10 + 38*x**2. Let g(o) be the third derivative of r(o). Give g(v(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/((-132)\/(-528))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -823, -1654, -2481, -3304, -4123?\nAnswer: -4938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 1\/4*b**2 - 5\/4*b + 1 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21235 and 10.\nAnswer: 42470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -45c3 - 5?\nAnswer: -45c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 825, 6533, 22023, 52185, 101909, 176085, 279603, 417353?\nAnswer: 594225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11401 - -42?\nAnswer: -11304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/56)\/((-3)\/2) + 270\/60?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/((-10)\/12)*9\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887624577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5286 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34126054 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from hvvhvvh?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + -2*(3 + sqrt(272))**2 + -5*(sqrt(272) - 3*sqrt(272))**2.\nAnswer: -6005 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*m + 11928 = 10980 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 2. Let q be d(-2). Suppose l + 2*l = 0. Suppose q + l = 4*c + 4*s, -2*s = 0. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**3\/2 - q. Let d(y) = 5*y - 16. Let l(h) = 55*h - 184. Let b(k) = 23*d(k) - 2*l(k). Determine b(g(f)).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293766 is divided by 6386?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/9684224 and -53\/2861248.\nAnswer: 125894912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5284 - 1328 = u. Calculate the highest common divisor of u and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 + 20 + -50 + 29 + -3\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 4*n**2 + 2*n - 1. Suppose 29 = 4*s - 79. Suppose 4*h + 5*h = -225. Let i = s + h. Determine t(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -6549.\nAnswer: 3274.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362541 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 6*z + 4 = 0. What is the second derivative of n**4 - z*n + n**4 + n wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316421 = 364*n + 291669 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233509732 to the nearest integer?\nAnswer: 15281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 2*o**2 - 17*o - 4*o + 6 + o**2 - 2*o**2 + 0*o**2 + (-2 + 1 + 2)*(2*o**2 - 1 + 1).\nAnswer: 3*o**2 - 21*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 17. Suppose -7*j = -2*j - 25. What is the remainder when u is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.1? (a) -5936 (b) 1\/4 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966 = -9*o + 24. Suppose -n - n = -4*u - o, 2*n - u = 116. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1912473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1300) + 2 + -1 + (sqrt(65)*-2*-4)\/sqrt(5)).\nAnswer: 2 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5200)\/58)\/(-5) - (-454)\/6583?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:09 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 763 + -766.98. Which is the biggest value? (a) 2 (b) p (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 169 + 117 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + sqrt(27) + sqrt(3267)*-1 + (sqrt(27) - sqrt(135)\/sqrt(5))**2 + 5 + 5*sqrt(135)\/sqrt(5) + -2 + -3.\nAnswer: -15*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.01702 + 0.01702. Which is the fourth smallest value? (a) 0.4 (b) t (c) -0.1 (d) -140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1258*(-129)\/(20253\/2669).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50055 or 50915?\nAnswer: 50915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 7598?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) 3\/13 (c) 1\/5 (d) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8066542 by 733322.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2734, 2738, 2744, 2752, 2762?\n\"Answer: k**2 + k + 2732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852038.972ms in weeks?\nAnswer: 0.00306223375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107\/24 - -31\/8. Suppose 2*y + 0*y = -4. Calculate the common denominator of o and ((-186)\/20 - 0) + y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1549\/2 - 2323\/3. Let g(y) be the second derivative of 14*y + d*y**3 + y**2 + 0. What is g(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-9 - (0 - 70)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3 + 54*m**2 - 141*m + 90 = 0 for m.\nAnswer: 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 608080703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 2*a**2 + 0*a**2 + (-1 + 2*a**2 + 1)*(0 + 5 - 3) + (-2*a - 2*a - a)*(20*a - 2*a - a) as u + o*a + k*a**2 and give k.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4468, 8767, 13066, 17365, 21664?\n\"Answer: 4299*n + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 63.07277 centimeters?\nAnswer: 630.7277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-88) + 26\/22 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*j - 7667554 + 1809254 = 0. Round j to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 6 = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 - 4*d - 8. Calculate y(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 - -258. Let o = 5 - 9. Let v = -1.2 + 1. What is the third biggest value in o, v, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 631064, 1262330, 1893596?\n\"Answer: 631266*f - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6646006 (base 7) to base 4\nAnswer: -3013303210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4 + 0 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/18)\/5 - (-3)\/(-18). Solve o = r + 2*b + b + 19, 3*b + 7 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -60463\nAnswer: -1451112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/16 of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)\/(3\/9). Suppose i*p - 1 = 35. Solve -2*l - 3*v - 12 = l, l - 3*v = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/258565 and -45\/1079.\nAnswer: 278991635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16.126 + 6\nAnswer: 22.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:59 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54925, 109834, 164731, 219610, 274465, 329290, 384079, 438826?\n\"Answer: -a**3 + 54916*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*w = 96021, -w + 68776 - 11165 = -3*f. Is f at most as big as -19202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17752*h**3 + 42*h**2 + 47*h + 410. Let l(a) = -2536*a**3 + 6*a**2 + 7*a + 58. Let i(n) = 3*d(n) - 20*l(n). Find the third derivative of i(p) wrt p.\nAnswer: -15216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7249417.2 milliseconds in hours?\nAnswer: 2.013727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - w + 606 - 606 - w**3 to q*w + k*w**3 + l*w**2 + f and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 12:19 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, e: 1, m: 2, w: 3, p: 4, i: 4}. What is prob of picking 1 h and 1 m?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93.9511 - 0.9511. Let x = 40.5 + -134. Let w = x + c. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-1 - -3)\/(-2). Let l be (-160)\/(-75) - p\/15. Let j = l + 13. Solve -3*y = -0*y - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 11. Let g(a) = 4*a - 22. Calculate -3*g(p) - 5*t(p).\nAnswer: -2*p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**3\/3 + 3*i**2 + 10*i - 55. Suppose 3*j - 6*j + 36 = 0. Let h = j + -5. Calculate f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1*3 - (-24 - (-51 + 24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 60*c - 64. Let v be x(1). Let f(n) = n**4 + n**2 + n. Let r(y) = 2*y**4 + 6*y**3 - 7*y. Let l(o) = v*r(o) + 12*f(o). Solve l(h) = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79849 - 239543\/3. Factor -p + 0*z + 4\/3*z**2.\nAnswer: 4*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -11*m**5\/5 - 19*m**2\/2 + 21. Find the second derivative of s(p) wrt p.\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 18*i - 13. Let v be g(8). Solve -5*b - v*z + 7 = -3*b, 5*z = -3*b + 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*d - 12 = 0, 4*b - d + 3*d = -16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/9*1*(678\/(-565))\/(4\/(-10))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 = -2*g + 3*z + 284, 0 = -292*g + 289*g - 5*z - 98 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - f**3 + 2*f**3 - 13*f**3 + 103 - 103 + (-f + f + f)*(-f**2 + 6*f**2 - 2*f**2) + 5*f**3 - 2*f**3 - f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(17) + sqrt(17) + -2) - sqrt(17)) + 4.\nAnswer: -5*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 1717, 5539, 12955, 25165, 43369, 68767?\nAnswer: 102559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 409133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643860.5 months in centuries?\nAnswer: 1369.88375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 161845 and -0.1.\nAnswer: -16184.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28022 is divided by 1245?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-3 + 7) - (4 + 0). Solve 4*o = 3*x - l, 5*o = -0*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.5 (b) 2\/168231 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221000110 (base 3) in base 13?\nAnswer: -1434c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 t when four letters picked without replacement from {r: 7, t: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m + 227451 = 97*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 980702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1496? (a) 2 (b) 0.6 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = a, -3*a + 87 - 82 = 4*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 15 = -29. Let b(y) be the second derivative of y**4\/12 - y**3\/2 + 2*y**2 - y. Let p be b(q). Let k(n) = 3*n**2 - 2*n - 2. Calculate k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765554194?\nAnswer: 2, 3, 13, 61, 44711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1111*f**3*t**2 - 162*f**3 - 1227*f**2 - 6345*t**3 + 14 wrt t.\nAnswer: -2222*f**3*t - 19035*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**6\/60 + 3*o**5\/10 + 5*o**4\/4 + 7*o**3\/3 + 201*o**2. Let p(z) = 0. Calculate z.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2647913005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -11. Let j(u) = u**3 + 12*u**2 - 7*u - 21. Let s be j(o). Let w = s - -107. Solve -3*d + d = -4*f - 8, w = 2*d + 4*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from uzssuszjzszojszosus.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-5*t + 0*t - 2*t).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-119330)\/(-107397))\/((-2)\/3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9583, 45124, 104367, 187318, 293983, 424368?\nAnswer: 578479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -14 + (6 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85361959*r**5 + 16329659*r + 4 wrt r.\nAnswer: -1707239180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -334 by -2.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*m + 7 = 5*g + 233*m, 5*g - 23 = -2*m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2\/7, 2.6756, 49, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-18 + 25)) + (73 - 20)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95290, -95304, -95318, -95332, -95346?\nAnswer: -95360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z. Let b be -4*2 + 2\/1. Let m = 4 + b. Let x(h) = -4 + 6748*h - 6758*h + 5. Give m*x(r) - 7*w(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-9*u - 14 + 14)*(-1 + 0 - 1)*(31 + 20 - 6).\nAnswer: -810*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -7*h + 279. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**2 + 1 + 0 + 6*j**2)*(77*j**2 - 3 + j - 54*j**2 - 157*j**2) as d*j + u*j**2 + t + r*j**4 + z*j**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 51. Let h be 7\/28 + (-14)\/t. Differentiate -12*z**h - 7 + 53*z**2 - 25*z**2 wrt z.\nAnswer: 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -1138\/43?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 128*v + 621. Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 961 by -3.\nAnswer: -961\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 5 + 0)*(2 - 2 - 2*m) + 2*m + 0*m - 4*m + (-3 - 1 + 3)*(-2*m + m + 2*m))*(-3 - 2 + 4)*(-8 + 1 + 32) as d*m + s and give d.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*n**3*t**2*x - 2*n**3*x + 3*n**2*t**2*x - n**2 - 2*n*t**2*x + 10*n*t*x wrt n.\nAnswer: -534*t**2*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 3*q - 20. What is the tens digit of y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -20.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 196 = -616. Suppose x = 3, -x + 213 = 5*k - 0*k. Calculate the highest common factor of t and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0202131 rounded to four dps?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.57 + 4.570001821. Round k to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -54, -70, -68, -42, 14, 106, 240?\n\"Answer: h**3 - 35*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1202 + 1199. Sort 33, x, 2 in descending order.\nAnswer: 33, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-24)\/126*(9100\/(-24))\/(-13) and (125\/18)\/((-1)\/(-3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6950, 6945, 6938, 6929, 6918, 6905?\n\"Answer: -l**2 - 2*l + 6953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}