diff --git "a/data/dm_maths/full_data/11180_11255.jsonl" "b/data/dm_maths/full_data/11180_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11180_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the second derivative of 11*i**4 + 3352*i**3 - 8*i**2 - 2892058*i.\nAnswer: 132*i**2 + 20112*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734924.\nAnswer: 2, 313, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-144)\/120*(2\/(-6) + -3). Let b(n) be the first derivative of -4\/3*n**3 - 4*n**2 - v + 0*n. Let b(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 87\/4. Let k = -21 + 21. Let d = 0 + 0. Which is the nearest to d? (a) -5 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wie when three letters picked without replacement from {i: 1, e: 4, w: 2, p: 3, u: 9}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5\/4 + 69*w**4\/4 - 146*w**3 - 1011*w**2 - 1760*w - 912 = 0.\nAnswer: -76, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 11305613?\nAnswer: 11305621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001000101001001101 (base 2) to base 9.\nAnswer: 3021115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 p, and 1 c when four letters picked without replacement from {r: 9, p: 9, c: 1}.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -714 times -4?\nAnswer: 2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 11. Suppose -o - 3 = d*o. Let n(x) = -7*x**3 - 2*x**2 - 2*x - 1. Let s be n(o). Solve 12 = 4*w + 4*m, -m = -0*w - 2*w - s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69626 + 97760. What are the prime factors of y?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15080 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1240\/44 - 6\/33. Suppose 127 + c = 3*f - 4*w, 4*f = -4*w + 188. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32 - 31)\/(-1*2\/(-14)). Let d(m) = m**3 - 7*m**2 - 5*m + 6. What is d(i)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 110*x**2 - 600*x.\nAnswer: -5*x*(x - 12)*(x - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140, -569, -1284, -2285?\n\"Answer: -143*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 12 + (10 - 17) + -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101405760 divided by 35040\nAnswer: -2894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*2353.7\nAnswer: 4707.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45184 - 44105.35. Round i to the nearest ten.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10 - 4. Suppose 3*y = -x*v + 831, 0 = -4*y + 2*v + 946 + 132. Calculate the highest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-80))\/((-1)\/(-7))*4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5644407707?\nAnswer: 47, 1789, 67129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0*t**3 - 1\/12*t**5 - 1\/14*t**7 + 0 + 0*t**4 + 0*t - 5*t**2 - 1\/8*t**6 - 5\/336*t**8. Factor s(u).\nAnswer: -5*u**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e649dc (base 16) in base 14?\nAnswer: -200c0d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 14 (c) -120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 8*r. Let x(z) = -z**3 + 2*z**2 + z + 6. Let v be x(r). Solve 5*k = -5*g - 30, -v*k = -k - 5*g - 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 18712 - 18700 - 4*l**2 + 5*l**2 = 0. What is l?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163422 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 13*u - 18 = 0. Suppose 75 = -14*l + u*l. Let w be -1*5\/l + (-44)\/6. Let o(m) = m**2 + 7*m + 10. Determine o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**3 + 4*b**2 - 2*b - 5*b**2 - 4*b**2 - 7 - 8 + 2 as m*b**3 + f + y*b + n*b**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*s = 4*z - 7, z + 3*s = 8. Suppose z*b = 4*j + 10 + 1, 0 = -2*j - 8. Is -2\/7 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2. Let z be (-6)\/2*14\/(-21). Let f(w) = 3*w + 3*w - 3*w - z*w. Calculate f(r(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*r = -26, 4*r = 3*s - 0*s - 11. Let g(o) = o**2 - 36. Let w be g(0). What are the prime factors of (-440)\/w + (-2)\/s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 6*q - 64 = 0. What is the smallest value in 1, -0.02, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8501346 rounded to 2 decimal places?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*z + 8, -c + 0 = -1. Suppose -2*j = 5*r - 15, -2*j - 12 = -z*j - r. List the prime factors of (20\/(-25))\/((-2)\/j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -58327*i + 58331*i + 48, -2*v = 5*i + 68 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from jwkwkwjwh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/6)\/(1176\/(-5782))*-8?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237\/4 + 59. Let p = 3\/217 - -407\/1953. What is the closest to 0.2 in 5, p, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/86 or -1?\nAnswer: -7\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1)\/(5*(-11)\/165).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 = 15*c + 1812. Which is bigger: -157 or c?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14373 and 0.2.\nAnswer: 0.34373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77304, 154593, 231884, 309177, 386472, 463769?\n\"Answer: s**2 + 77286*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, a: 4, y: 9}. What is prob of picking 1 m, 1 a, and 2 y?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - (sqrt(130) + (3*sqrt(130)*2 - sqrt(130)))))\/(sqrt(160) + 4*sqrt(160) + sqrt(160)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 6*v**3 - 122. Let w(x) = -11*x. Determine w(q(d)).\nAnswer: -198*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**3\/2 - g**2 + 12*g. Calculate o(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -497881 + -0.51189.\nAnswer: -497881.51189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (sqrt(567) + 4)*4)*4 + 3 + 4)**2.\nAnswer: 120096*sqrt(7) + 1325689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -94 - (-15 + 6 - (28 + -39) - -4).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - (-4386)\/189) + (-4)\/(-18)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2*w**5\/5 + 11*w**4 - 5*w**2\/2 + 2*w - 15. Find the second derivative of g(p) wrt p.\nAnswer: 24*p**2 + 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 483970 = -9*p. Suppose 0 = -j + 4*j + 479382. Let y = j + p. Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*b + 12 = -4*p + 448*b, -2*p = -b + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**3 + 90*r**2 - 83*r - 635. Give b(-8).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-15) + 776\/30. Suppose 1 = -5*b + l. Sort b, 23, -2 in increasing order.\nAnswer: -2, b, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495411 divided by 3495411?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3030750889 plus -1471?\nAnswer: -3030752360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - h**2 - h - 1. Let w be (-2*3\/(-2))\/(3\/(-1)). Let m(k) = -5*k**3 - 2*k**2 - 6*k - 5. Give w*m(u) + 6*n(u).\nAnswer: -u**3 - 4*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1065122790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2333*k**3*v - 224*k*v**3 - 18886386*v**3 wrt k.\nAnswer: 6999*k**2*v - 224*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19062995.\nAnswer: 5, 7, 151, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2978 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-460)\/(-30))*34935. Round u to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*b + 9 = b, 2*i + 21 = b. Let q(a) = -5*a**3 + 2*a**2 - 5*a - 28. Let m(c) = -c**3 - c**2 - c - 5. Let j(h) = 6*m(h) - q(h). Determine j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440237 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 503553886 to the power of 1\/3, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/12)\/(14\/(-21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-77) + (-5988)\/(-22). Let y(s) = i - 272 + s. Let g(w) = 16*w**2 - 24*w. Let l(k) = k**2 - k. Let z(p) = g(p) - 24*l(p). Calculate z(y(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19337949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 511 and 76959\/151 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 2 (c) -448.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - k**2 + k. Let n(r) be the first derivative of -9*r**4\/4 + 2*r**3 - 7*r**2\/2 - 5*r - 544. Determine -n(w) - 6*o(w).\nAnswer: 3*w**3 + w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*t + 67, -5*t + l = -0*l - 65. Calculate the remainder when (-522)\/(-13) - 12\/78 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51 - 3)\/(-4)*1. Let v(h) = -h**2 - 12*h + 3. Is 3 a factor of v(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 17. Let l be c\/(-4) + (-726)\/(-8). Let m = l - 525\/4. What is the common denominator of -99\/8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 z when three letters picked without replacement from {f: 1, d: 2, m: 3, z: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-11)*(-38)\/(-2). Let x be 0\/((-19)\/f - 3\/4). Solve 4*o - 3*o - 5 = x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(546\/411 - (-8)\/(-6)). Is b at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Suppose 19 - 28 + 20 = 11*f. Let u(r) = 5*r - 4. Determine f*u(t) + 4*m(t).\nAnswer: t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 2*n**2 + n + 3. Give p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 3*i - i - i + 1 - 1 + (0*i + 4*i - 5*i)*(4 - 1 - 1) - 2*i - 2 + 2 + (-33 + 29 - 14)*(-2*i + i - i).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 227, 2\/19, 36, -1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c - 78. Suppose -2*n + 14 = -58. Let i = n + c. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 2*v - 40 - v + 16.\nAnswer: 2*v - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30125107*p**6 - 3*p + 208 + p + 2*p**2 + p**5 + 30125075*p**6 + 32*p**3 wrt p?\nAnswer: -3840*p**3 + 60*p**2 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 42555.65 hours?\nAnswer: 2553339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -15*t**4 - t**3\/3 - 55*t**2 - 28*t - 1. Find the second derivative of y(o) wrt o.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30048040129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.03 and -393 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4964 + -292878\/59. Let t(a) = a**2 + a - 2. Let l be t(1). Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58, 83, 82, 55?\n\"Answer: -13*t**2 + 64*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -470, -989, -1506, -2021, -2534, -3045?\n\"Answer: g**2 - 522*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r**3 + 278*r**2 - 336*r + 55. Determine k(24).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 321 and (321\/6)\/(54\/(-4) + 12)*-81.\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/42)\/(44670\/(-3877356)).\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(1*sqrt(11) + 1 + sqrt(891)*4 + (sqrt(44) + 4 - (2*sqrt(99))**2) + 1).\nAnswer: -780 + 78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 1 - ((7 - 2) + -40 + 19).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 1.3. Let n = 20\/189 - -34\/189. What is the nearest to t in n, -3, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 109*c + 10 + 0 + 4.\nAnswer: -109*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5. Let u be v\/5 - (-2)\/10. Suppose -2*k + 5*q + 24 = q, k - 3*q - 14 = u. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x - 12 - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232567\/5 - 46191. Let q = w + -549682\/1705. Which is the third biggest value? (a) 0 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1169 - -1172. Solve -l*i - 2*f = f - 3, -2*f = -10 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.3 (c) -50 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -1\/2, 0, 9\/776?\nAnswer: 9\/776","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1570, 1572, 1584, 1612, 1662, 1740?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z = 0. Suppose 0 = -2*a - 2*c, z*a = -5*a - 4*c + 2. Factor -9 + 0*n**2 + 9*n - a*n**2 + 3 - n**2.\nAnswer: -3*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/(sqrt(8) - sqrt(968) - sqrt(8)) + sqrt(416) + -3*sqrt(416))\/(sqrt(22)\/sqrt(11)*1 + sqrt(18)*4).\nAnswer: -89*sqrt(13)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z + 2. Let j be f(3). Suppose 5*v - v = j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 4. Let r(p) = -6*p**2 - 3 + 2 - p**3 - 5*p + 2*p**3. Is r(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1050 is divided by 67?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*h - 69 = -24*b + 78, 4*h = -2*b - 90 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnngnngn. Give prob of picking 1 g and 3 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5054439 divided by 3?\nAnswer: 1684813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*x - 2*a - 17, -3*x = -3*a - 18. Let u = 110 + -107. Let v(g) = -g**u + 59 + 0*g**3 + 10*g**2 - 33 - 27 + 0*g - 8*g. Determine v(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -507 (base 13) to base 7.\nAnswer: -2325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5*u + u + 5*u)*(u**3 - 2*u**3 + 2*u**3) + u**4 - 3*u + 3*u)*((-4 + 1 + 1)*(1 + 1 - 4) + 1 + 0 + 0) as w*u**4 + d*u**2 + v*u + s + n*u**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by -12 + 610\/50 - 29\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.89. Let l = 2.89 - x. Put l, 3\/8, -1 in decreasing order.\nAnswer: l, 3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2059.5627 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 7*z - 73 = 0, 2*v + z - 540 = -539 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235728900.\nAnswer: 2, 3, 5, 11, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262041600 and 20000.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4 - 14. Suppose -4 = f - 3. Let o = f - i. Let t(k) = k**3 - 5*k**2 - 2*k + 3. Determine t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7681*f + 22589 = 7220*f for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 31 - 13 - 12 - 25*q. Let c(d) = d - 1. Let z(w) = -6*c(w) - f(w). Let m(p) be the second derivative of -p**4\/6 + 7*p. Calculate m(z(k)).\nAnswer: -722*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 51 (c) 6\/59 (d) 5 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Suppose 3*o = -6, 3 + n = -w - 3*o. Let q be w\/(8\/(-10) - -1). Solve -q*p - 5 = 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -143 + -3)\/(-2). Suppose 4*q - y = 45. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*t + 124 + 65 = -31 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 804.\nAnswer: 1\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + -4 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4316 divided by 1\nAnswer: -4316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*d - 1646 = -785 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1474217066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3\/2 - 26*z**2 + 569*z\/2 - 259 = 0.\nAnswer: 1, 14, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3. Let v(b) = -b**2. Let r = -2 + 0. Let q(n) = r*v(n) - f(n). What is the first derivative of q(g) wrt g?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6255 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1655 and 40?\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-4)\/(6 + -2)). Let s be p + -2 + 9 + -8602. Let m be 8\/20 + s\/(-10). Round m to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -47. Let r = k - 28. What is the common denominator of 125\/r + (27\/3)\/3 and -79\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56389 and 1952876.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 4:17 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.36 (b) 1\/5 (c) -0.3 (d) 229\/3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 0. Let c(i) be the third derivative of -i**6\/120 + i**5\/60 + i**4\/24 - i**3\/6 + 96*i**2. Determine c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -444 and -1.69245?\nAnswer: 442.30755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 + 12 = 0. Suppose -z*w + 5*k = -w + 24, 4*w - 5*k = -27. Let d be (w - -2)\/(28\/(-4)). Which is the nearest to 1? (a) d (b) -2\/13 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/5 + 12*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69074 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 4*s. Suppose 0 = -o - 2*h - 4, -s*h + 10 - 2 = 4*o. What is b in -4*b**3 - b**3 + b + o*b**3 - 2*b**2 - 2*b = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2622 divided by -9.\nAnswer: 874\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 20. Let x = r - 10. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u**(4\/5)\/u)\/(u**(-1\/4))**(1\/43))\/(u**(1\/9)\/u*u**(1\/3)\/u)**(-1\/60) assuming u is positive.\nAnswer: u**(-51551\/23220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -132, -206, -280, -354, -428?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 15141 (b) 2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 567, 1063, 1565, 2073, 2587?\n\"Answer: 3*s**2 + 487*s + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 15*z + 77 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:50 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -315011 + 424?\nAnswer: -314143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19871*p**3 - p**2 + 15*p + 369 wrt p.\nAnswer: -119226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 773.4736945 rounded to one decimal place?\nAnswer: 773.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 15*n**2 + 15*n - 20. Let t be p(-16). Suppose 0 = 6*k - 0*k - 282. What is the remainder when k is divided by (t\/5)\/(4\/(-120))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 22 = g, 29*g - 4*j + 12 = 25*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 6 + 0*m + 1\/2*m**2. What is t(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 3:32 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.4 (b) 2 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13.9? (a) 222 (b) -14 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1168*k - 3495. Calculate h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z + 0)*(z - 13*z + 19*z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 239226 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17)\/19 - -1 - 70816\/(-152)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.02 + 0.12. Let v = z - -4.9. Which is the smallest value? (a) v (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -77\/6*p**6 + 0*p**5 - 8*p**2 + p**3 + 59 + 0*p + 0*p**4. Find the third derivative of x(b) wrt b.\nAnswer: -4620*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4581, -32741, -109187, -258063, -503513?\nAnswer: -869681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c*r**5 + 41094*c*r**3 - 2*c - 7*r**2 + 118 wrt r?\nAnswer: 180*c*r**2 + 246564*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -107, -0.1, 4\/13, -2.5?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28019310 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 34.2 (c) -20 (d) 0.3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-6)\/24 + 5\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.9 + 4.9. Let m = -0.3 - 0.7. Let y = 1.9719 + 0.0281. What is the closest to m in y, h, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-20 + 2 + 8 + 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306667*h = 306675*h - 128 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 + 9*p - 4. Let w = -37 - -62. Let z = 28 - w. Let r(i) = -6*i**2 + 9*i - 3. Let m(q) = z*o(q) - 2*r(q). Solve m(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-5)\/25*5. Let s(t) = t**3 + 1. Let z(u) = 4*u**3 + u. Calculate p*s(v) + z(v).\nAnswer: v**3 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157 and 3611.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 9*d**4 - 110850*d**3 - 7280427*d**2 - 2340588*d + 4828980 = 0?\nAnswer: -65, -1, 2\/3, 12382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 + 3\/(24\/52))*0. Let l = 4\/13 + -132\/91. Is h at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*a)*(10*a**3 + 25*a**2 - 25*a**2).\nAnswer: 20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/3)*v*v\/v**(-3\/5)*(v\/(v\/v**1))**(2\/5) assuming v is positive.\nAnswer: v**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/97343428 and 16\/169.\nAnswer: 1265464564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 907.90009834 - 907.9. What is v rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362397 is divided by 453?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2732*l**2. Let i(b) = 7400*b. Determine f(i(p)).\nAnswer: -149604320000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 11*g - 20. Let x be y(-13). Suppose -x*r + 7*r = 120. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {f: 1, w: 2, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5)*(-9)\/(18\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(-5)) - (44 - 40).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrnzojg. What is prob of sequence gzr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 252780157 a multiple of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 9*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = s, -6*k + 73*s = 15*k + 74*s + 923 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1120, 2202, 3284, 4366, 5448, 6530?\n\"Answer: 1082*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let h(y) = -y**2 - 11*y - 3. Give h(z) - 5*p(z).\nAnswer: -z**2 - 16*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*a - 18, 0 = 4*g + 202*a - 205*a - 5. What is the second biggest value in -4, g, 0.015?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 979.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (6 + -17)) + 2 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 11896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 79072.\nAnswer: 395360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1341, -1362, -1409, -1488, -1605, -1766?\nAnswer: -1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -13)*1*-1. Let f(l) = -7*l + l - 2 + w - 9*l. Let d(s) = 7*s - 4. Calculate 13*d(o) + 6*f(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 235380 to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -43, -38, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9)\/(v\/(v**(1\/6)\/v)))\/(v**(2\/7))**(-35)*v**(2\/9)*v*v**(2\/5)\/v*v*v**(2\/7)\/v**(-5) assuming v is positive.\nAnswer: v**(3259\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.06, -0.081, -2\/17.\nAnswer: -0.4, -2\/17, -0.081, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/1535 + 1538\/4605. Let j(a) be the first derivative of -a**2 + p*a**3 + a - 11. Factor j(b).\nAnswer: (b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crcrhrc. What is prob of sequence rrc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3821, 3819, 3817, 3815, 3813?\n\"Answer: -2*t + 3823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14845025 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnlt. Give prob of sequence tl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.4 (b) -0.1 (c) 3 (d) 0 (e) 2751\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 54288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(216\/(-10)) - (-69)\/184\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659 = 26*s - 4325. Suppose -129 = 3*m - s. Which is the nearest to -1\/3? (a) 1\/6 (b) -38 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 10 - 10)*(-6322 - 8632 - 2149 + 9800) - r + 0*r - r.\nAnswer: -29214*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxblqb. What is prob of sequence xqlb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31dc (base 14) in base 6?\nAnswer: 103530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/1188)\/(738\/(-4059))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73574634 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-20))\/(2*(-1)\/(-16)). Calculate the lowest common multiple of ((-2)\/6 - -3) + (-2)\/d and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(252) + -2 + 5*(sqrt(175) + (sqrt(175) - -3*sqrt(175)))))**2.\nAnswer: 262*sqrt(7) + 120128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -0.1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + -0.5. What is the smallest value in m, 1, -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 3, -24, -83, -186, -345?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*j*n**3 - 57*j*n**2 - 2*j*n - 19*j + 16446202*n**3 wrt j.\nAnswer: 40*n**3 - 57*n**2 - 2*n - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 46*v + 3. Let d(j) = -5289*j - 344. Give -3*d(c) - 344*w(c).\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.310159939 from 0.05.\nAnswer: 0.360159939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 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: Suppose 21*z - 22*z = -2. Let f(v) be the second derivative of -z*v + 1\/2*v**2 + 0 - 1\/6*v**3. Determine f(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 5*z + 2*z)*(4 - 4 - 1)*(998*z - 340*z - 203*z)*(-2*z**2 + 4 - 4) + 2*z**4 + z - z in the form l + t*z**3 + a*z**2 + g*z + s*z**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 3 + 7)*(-2*y + 3*y**2 + 2*y)*(1 + 1 + 0).\nAnswer: 102*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 690657095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.05312 rounded to the nearest ten?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 0 - (-3 - (2 - (-18 - -18)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4 + 7 + 2*x + 8*x - 12*x. Let c be t(4). Suppose -2*n + c*q - 2*q = -15, 0 = -n - 2*q + 10. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22434977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6)*y**(-2)\/y*y)\/((y*(y*y**(2\/3))\/y*y)\/((y\/((y**(5\/4)*y)\/y))\/y)))\/((y*y*y**3)\/(y*y**(-5)*y*y)*(y**(-2\/7)\/y*y)**(1\/18)) assuming y is positive.\nAnswer: y**(-3209\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02144 less than 31.8535?\nAnswer: 31.83206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -520 - -522. Let k be 6*(-9)\/27 + o. Solve 27*s - 28*s - 5 = k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**3 - v**2. Suppose -3*y = -3 + 6. Let l be w(y). Let z(a) = -a**3 - 3*a**2 - 6. Let c be z(l). Round c to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 0, 2*g + 5*n + 1 = -5. Suppose 2*t + 6*q = 4*q - 2, g*t - 14 = 2*q. Let y = 14 - 10. Solve -s - y = t*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -t - 0*m + 2*m + 4, -t = -7*t + 3*m - 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**3 + 1990*h**2 = 0.\nAnswer: -398, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = 4. Let p be (2448\/15 + v)\/(-2). Let g = p + 83. Which is the closest to g? (a) 3\/5 (b) -2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2. Let z(h) = 5*h**2 - 2. Give b(z(f)).\nAnswer: -100*f**4 + 80*f**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 10*x**2 - 11*x - 11. Let o(n) = n**3 + 5*n**2 - 6*n - 6. Let f(j) = -11*o(j) + 6*t(j). Calculate the common denominator of 56\/3 and f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + (-1 - (-4 + 12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 4*f**2 - 2 - 7 - 418*f - 2*f**2 + 14.\nAnswer: -f**2 - 418*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 5*y**2 + 6*y + 33. Determine d(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10794 = -17*l + 12358. Solve 0 = l*o - 95*o - 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1128 divided by 282.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x + 3*k - 2, x = k + 5. Suppose -p = -x*p. Suppose p*q - 15 = -5*q. Solve 1 = q*h - 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 39*a + 33*a - 12, 0 = h - 5*a - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-8) - (22 - 17).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9277041)\/(-2) - (-4)\/8. Suppose -f = -6961479 - m. Round f to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -345, 483 in descending order.\nAnswer: 483, 4, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153722 divided by -2.\nAnswer: 76861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-40)*(-285)\/171. Which is the nearest to 0.1? (a) 2\/9 (b) 0.237 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Let t(i) = -9*i**2 + i + 1. Let k(r) = -r - 1. Let x(z) = -k(z) - t(z). Give w(x(y)).\nAnswer: 162*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-7)))\/w*(w**(-6)\/w)\/w assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -745 by 8.\nAnswer: -745\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 15. Calculate r(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 134679347 + 28\nAnswer: 134679375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 - d**2 + 0*d**2)*(d + d + 0*d) - 30*d + 5*d**3 + 30*d - 2 + 2 + d**3 + (0*d**2 + 0*d**2 + 2*d**3)*(-1 - 1 + 3) - 221*d**2 + 221*d**2 + 9*d**3.\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(4\/3)))\/l**(-9\/2))\/(l*l**(1\/6)*l*l*l**3) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q**4 - 1)*(22 + 19 + 32).\nAnswer: 146*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 8 - 3, -4*g - 2*r + 546 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (5*sqrt(68))**2.\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267.9 - -268. Let p = -6.01 - -5.01. Put 1\/4, p, m in decreasing order.\nAnswer: 1\/4, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7391 + 29565\/4. What is the closest to b in -7.7, -5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -292 + 745. Suppose -461*x = -s*x - 88. What is the least common multiple of 119 and x?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 10245970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:41 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249564843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 37946, -4, -2, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + k**2 - k**2)*((4 - 3 - 3)*(-3 + 3 + 5)*(-k - 2*k + 4*k) - 2 + k + 2 + (k + 1 - 1)*(-2 - 1 + 5) + 2*k - 4 + 4).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3141.466 to the nearest integer.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -618162.57 to the nearest one hundred.\nAnswer: -618200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(2\/(-3))\/((-2)\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o**2 - 8*o. Let n(m) = -13*m**2 - 7*m. Let a(v) = -7*v**2 - 163*v - 40. Let k be a(-23). Calculate k*t(j) - 7*n(j).\nAnswer: 7*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/192 and 49\/3.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**2 + 4*u + 2. What is n(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5644902*c**3 + 4*c**2 + 5644958*c**3 - 4*c**2 - 11289859*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (176 - 31 + 29 - w)*(0 + 0 - w) to r*w + p + i*w**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/7 and 19\/2618.\nAnswer: 2618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 7*h**2 + h + 1. Let o be f(-7). Suppose 2*s = -s - 21. Let y be (-6)\/(o\/3 - s). Which is the biggest value? (a) -3 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 471 + -467. Put -0.3, l, 31, -5 in descending order.\nAnswer: 31, l, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4875, 19602, 44195, 78654, 122979, 177170?\nAnswer: 241227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*g - 54, 5*g - 15 = -4*o - 48. Let a = 56 - 32. Let v = a + o. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.122334 - -69.880146. Let f = -71 + a. Round f to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*z + 10 = -0, 3*u + 25 = 5*z. Let w(k) = -k**3 + k**2 - k + 26. What is the remainder when 17\/(-2)*(0 - 6\/1) is divided by w(u)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/21 and -107\/20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -27. Let l(d) = 3*d**3 - 15*d**2 - 26*d + 41. Let t(f) = -f**3 + 9*f**2 + 13*f - 20. Let c(h) = -2*l(h) - 5*t(h). Determine c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4)*-10)\/(86\/43)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 57903479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 4. Let d be g(-5). Suppose 3*c = -m + 22, -4*c - 3 = -2*m - 9. What is the greatest common factor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -694416 divided by -23\nAnswer: 30192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1464 and 122.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -1 (c) 0.1 (d) 0.96 (e) -5 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4870*j - 1589 = 4926*j + 315 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1410 and 680?\nAnswer: 95880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1283508 + -0.4055305\nAnswer: -0.2771797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = 22*k + 76*k. Is k smaller than 663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21158334 (base 9) to base 4.\nAnswer: 212321012023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n = -27*n - 38. Let f(d) = -d**2 + 7*d - 6. Let k be f(5). Let a be ((-4)\/36)\/((-6)\/27)*0. Solve -k*l - n - 2 = a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2. Let r(h) = 181*h**2 - 7*h + 28. Let p(g) = 10075*g**2 - 390*g + 1560. Let n(i) = -7*p(i) + 390*r(i). Determine y(n(q)).\nAnswer: -12675*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(-4\/23)\/(h**4\/h**(3\/4)))\/(h**(-6)\/h**1*(h**(-1\/2))**(-1\/7)) assuming h is positive.\nAnswer: h**(343\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/102*122\/488.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304.408 + 3.508. Let p = -40.3 - -325.3. Let m = s + p. What is m rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.209 - 0.205. What is c rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2. Let l(z) = -3431*z. Calculate l(x(i)).\nAnswer: 6862*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 10. Let s(h) = 2*h + 11. Let f(b) = 2*b + 12. Let l(g) = -6*f(g) + 7*s(g). Let j = 74 - 67. What is j*l(q) - 3*z(q)?\nAnswer: 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9191*v**3 + 0 + 0 - 9198*v**3 - 9189*v**3 + 27579*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -499*l + 6. Let q(a) = 498*a - 8. Let s(o) = 4*c(o) + 3*q(o). Let g(v) = 3*v. What is s(g(t))?\nAnswer: -1506*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-54)*3*-2*-1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -46533 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469006 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-495)\/(-10)))\/((-3)\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193*f + 130*f - 121*f + 446 - 448 to the form b + j*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 1\/6*j**4 + 0 - 1\/20*j**5 + 2*j + 5\/6*j**3 - 3\/2*j**2. What is q(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64875, 129753, 194631, 259509, 324387, 389265?\n\"Answer: 64878*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 3. Let s(l) = 2*l**2 - 7. Suppose -5*i + 27 = -2*t, -4*i + 7*i - 13 = 2*t. Calculate i*f(a) - 3*s(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - ((0 - 3) + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 424*p**2 - 854*p + 428.\nAnswer: 2*(p - 1)**2*(p + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 11*z + 12 = 0. What is d in 0 + 2\/7*d**z + 4\/7*d**2 + 0*d = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28576640 and 800?\nAnswer: 142883200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*y = -14, -s = 2*s + 5*y - 1. Solve -20 = -b + 3*f, 0*b + s*f = -3*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b**5 + 2444*b**4 - 57684*b**3 + 309048*b**2 - 20942*b - 574980 = 0. Calculate b.\nAnswer: -6\/5, 5\/3, 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 3*z**2 - 3. Let u(a) = a**3 - a**2 + a - 1. Let v(r) = -28*r**3 + 16*r**2 - 24*r + 32. Let o(i) = 24*u(i) + v(i). Determine -3*o(l) - 8*s(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034971 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13200 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - (0 - 0)) + (27 - 41 - 1) + -9.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141 and 46577.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15288 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 + 5)*(0 - 4 + 2)*(-102 + 33*q + 102 + (-1 + 0 + 0)*(4*q + 0*q - 6*q) - q - q + 3*q + (-q + 6*q - 2*q)*(1 + 0 - 2)).\nAnswer: -264*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8 and 17\/1511.\nAnswer: 12088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 18 - 32 + (-2 + 1 + 3 + (1 - 5 + 5)*(2 - 2 + 2))*(-3 - 1 + 3))*(-p - 1 + 1).\nAnswer: 52*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 9. Let h be -2 - (-30)\/18 - 80\/(-6). Suppose 23 + h = 12*k. Is k <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 79378 = 2167. List the prime factors of u.\nAnswer: 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 236134?\nAnswer: -236137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-9) - (-369)\/216 and -37\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13508305981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -17*y**4 - 19*y**3 + 32*y**2 + 4*y = 0.\nAnswer: -2, -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 1:34 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69090 - 0.4.\nAnswer: 69089.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, -3, 0.3, -0.21, -1637?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8881668546919 plus -5?\nAnswer: 8881668546914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18367 or 55099\/3?\nAnswer: 55099\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 4*z**3 - 22*z**2 - 24*z + 72.\nAnswer: 2*(z - 2)**2*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-16\/5))**(-11)\/(n**(-2\/45)*n*n*n*((n*n**(1\/12))\/n)\/n))**(-42) assuming n is positive.\nAnswer: n**(74641\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c9919 (base 13) to base 15.\nAnswer: -1e2d87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o + 3. Let p(s) = -11*s + 4. Let h(y) = -5*p(y) + 8*q(y). Let v be 2 - 4\/1 - -6. Calculate h(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 4. Let x(q) = 27104*q + 24640. Give 12320*a(i) - 2*x(i).\nAnswer: 7392*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -51*d - 28. Let l be t(-8). Suppose 0 = 4*k + 3*w - 335, -k + 4*w + l = 4*k. What is the highest common divisor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 - 17*q + 14. Let v(g) = 6*g**2 - 16*g + 13. Let z(x) = 5*t(x) - 6*v(x). Is z(8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 3*j + 2. Let b be y(-3). Suppose b*p - 7 + 1 = 0. Suppose -o - p*a = 1, -o = -3*o + 2*a + 14. Put 4, o, -1 in ascending order.\nAnswer: -1, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(1710\/72)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036163 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18)\/(4\/(-64)*-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 67 = 3*p, -5*p = -9*h + 4*h - 45. Suppose p = n - 2*w + 5*w, -n - w = -6. Solve -q = 5*u - 29, -n*u + 2*q = -q + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 - 3 - -6 - 23)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146 and 37303.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.5 - -39.395. Let z = 0.105 + m. Let x = 13 + z. Which is the second smallest value? (a) x (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 94?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 145*u**2 - 89*u**2 - 29*u**2 - 27*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + -1)**2 + (-1*sqrt(95)\/sqrt(5) - sqrt(19)).\nAnswer: -120 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -87587854.\nAnswer: -87587854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 9935 = -3*f, 5*j - 2509 = f + 47166. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8773838 != 8773830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25024 (base 6) to base 4.\nAnswer: 321220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - f - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and 180?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 35 (c) 1 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 40304?\nAnswer: 40266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 + 13105?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 + 766447439\nAnswer: 766447438.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 5224892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -14. Suppose n*h + 8 = 0, 3*y = -5*h + 2 - 0. Let g = y - -29. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*15\/10. Let l be (-234)\/12 - 69972\/(-3528). What is s in -l*s**g - 7\/3 - 8\/3*s = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27139*h**3 - 967*h**2 + 292*h**2 + 675*h**2.\nAnswer: 27139*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -2179, 0, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0*u)\/u*(u*u*u**(-14)*u)\/u assuming u is positive.\nAnswer: u**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 476805 divided by -665?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-78)\/(-4))\/13)\/(6\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kffr when four letters picked without replacement from {r: 1, f: 8, q: 2, k: 1, l: 6, t: 2}.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 29 = -2*g, 0 = -3*g + 3*z + 39 + 18. Calculate the lowest common multiple of g and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -20, 0 in ascending order.\nAnswer: -20, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*l + 5. Suppose 2*p + l - 110 = 0. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 + 0.169. Which is the closest to x? (a) -5 (b) -9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.57+-132559\nAnswer: -132554.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:46 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 3325 in descending order.\nAnswer: 3325, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067890 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160677*t = 161059*t + 7258 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -11*o**2 + 13*o**3 - 15 - 7*o - 4*o + 0*o. Let m(j) = 8 + 6*j + 4*j**2 + 13*j**2 - 11*j**2 - 7*j**3. Determine -6*d(z) - 11*m(z).\nAnswer: -z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 17*n**5\/60 - n**4\/24 - 108*n**2 - 1. Let v(b) = 13 - 13 + 2*b**2. Give c(v(d)).\nAnswer: 68*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.24044 less than -1.24?\nAnswer: 6.00044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmc when three letters picked without replacement from {m: 2, r: 1, c: 1, w: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/360 - 13*w**4\/6 - 35*w**3\/6 + 44*w**2. Let g(a) be the first derivative of y(a). Let x be g(-7). Is -11\/4 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y**2 - 6*y - 4. Determine f(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a. Let m(z) = a - z + 1 + 0*z + 1. Let r be 6\/(0 + 3\/(-2)). Calculate m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 22549 and 21924 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*k - 8, 0*d = 5*d - k - 9. Suppose d*v + 2*m = 8, 3*v - v + 4*m - 10 = 0. Suppose 3 = v*q - 6, 0 = -g - 5*q + 51. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 41*a + 23. Is r(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -4 (c) -1\/21 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 51316*u - 329166482.\nAnswer: -2*(u - 12829)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 2. Let h(p) = -11*p + 88*p - 3 - 12*p - 66*p. Suppose 4*n = 8*n + 4. Let v be (-7 + 2)*(-1)\/n. Give v*g(i) + 4*h(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 1. Calculate the least common multiple of b and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50865454, -50865448, -50865440, -50865430?\n\"Answer: y**2 + 3*y - 50865458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -368*l - 65. Let r be o(-5). Let s = r - 236073\/133. Let w(f) = -f**2 - 3*f + 3. Let x be w(-4). Is x < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22878 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - d**2 - 3. Suppose 4 + 12 = 4*x. Let o(n) = -x - 2 - 2*n**3 + 2 - n**2. Let t be (-7)\/3 - (-1)\/3. Calculate t*o(b) + 3*h(b).\nAnswer: b**3 - b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a**2*i**2 + 3*a**2*i + 47*a**2 + 3*i**2 - 18 wrt i?\nAnswer: -8*a**2*i + 3*a**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7885 is divided by 7871?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 13) to base 9\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -17. Let y be t\/(-2)*(-1 + 0). Sort y, 0, -3.\nAnswer: y, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-84)\/(-16) - 4 - 1. Put 2, t, -0.05 in increasing order.\nAnswer: -0.05, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -253, -381, -509, -637?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -1. Suppose 0 = -a*x + 4 - 0. Let l be -2*x\/((-2)\/18). Calculate the highest common divisor of l and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.74 + -5.36. Let r = -1.9 + t. Let o = r - -9. Which is the second smallest value? (a) o (b) -2\/9 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, j: 1, k: 1, l: 4, n: 1, e: 3}. Give prob of picking 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -507?\nAnswer: -5070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 1}. What is prob of sequence jsj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**3 - 4*t**2 + 3*t - 2. Determine n(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.065 times -652811?\nAnswer: 42432.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 14*b + 66. Let o be m(-3). Let p be -2 + 129\/(4\/(32\/12)). What is the greatest common divisor of o and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = -5*d, -5 = 5*d + 5. What is the smallest common multiple of 8 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1604753 and 1604753 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-15)*(x*x\/(x*x*x**(1\/20)*x)*x)\/x*(x**(12\/11))**(-33) assuming x is positive.\nAnswer: x**(-1041\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 - 6*j + 3. Give w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25496725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*-39*-5*(-4)\/90. Is 17 a factor of (329 - n)*2*4\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1328339 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 0 + 4 - y - y + 81110*y**2. Let i(m) = m**3 - 3. Let v be i(0). Let z be k(v). Round z to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 + 5 - (4 + -3 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwoowww. Give prob of picking 1 w and 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-12)*(-5)\/(170\/6). Sort u, 3, -2\/7, -5.\nAnswer: -5, -2\/7, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -27*h**2 - 141. What is b(4)?\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60007324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114999403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -121*w**4\/12 + 147*w**2 - 2*w + 388. What is the first derivative of p(q) wrt q?\nAnswer: -242*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20271 - -20278. Let b be 2\/((-2)\/5 + 0). Sort 2, b, m, 1 in descending order.\nAnswer: m, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278*0.4\nAnswer: 111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 + (5\/10)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = -12. Let v be 20\/(-4) - -6 - -5. What is the third derivative of 7*r**2 - r**6 + 2*r**6 - v*r**o wrt r?\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/22 and (-405)\/(-3192) + 2\/19.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 6*j - 4. Let k(o) = -9*o**2 - 11*o + 7. Let m be (-2 - -1)\/(5\/(-35)). What is m*g(z) + 4*k(z)?\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 855564*j**4\/7 - 855548*j**3\/7 - 855580*j**2\/7 + 855548*j\/7 + 16\/7 = 0. Calculate j.\nAnswer: -1, -4\/213891, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81.51 + -1.49. Let m = -83.00096 - q. Round m to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**3 + 15*w**4 - 1 - 6503*w + 40 + 6508*w - 6*w**3 wrt w?\nAnswer: 180*w**2 - 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28013179, -56026360, -84039541?\nAnswer: -112052722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/13 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 2:06 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(-45)*(l*l**(2\/9)*l*l)\/l*l\/(l*l*(l**(3\/5)\/l)\/l*l*l) assuming l is positive.\nAnswer: l**(-3854\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1263*r**2 + 1599*r**5 - 108575*r**4 + 108575*r**4 wrt r?\nAnswer: 95940*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 792 = -4*v + 2*v, 0 = 3*n - v + 1186. What are the prime factors of -2*4\/(40\/n)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) - (sqrt(275) + sqrt(275) + -1 + -2)**2.\nAnswer: -1109 + 65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + -2 + -1 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7278 + -7274. Solve -n - 71 = -70, 5*x = 4*n + q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -8, -34, -72?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*o + 158 = 0, m - 59 = -5*o - 0*o. Suppose 2*l + 20 - m = 0. Suppose 18 = -l*x + 20*x. What is the highest common divisor of x and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44\/3)\/((-128)\/(-576)). Suppose 44*s - c*s + 65362 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12801415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/7, -9\/13 in descending order.\nAnswer: 3\/2, -2\/7, -9\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4\/2 + 87*f**3\/2 - 441*f**2\/2 + 633*f\/2 - 138 = 0.\nAnswer: 1, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 82 = 4*b, b - 20*k = -215*k - 131 - 236 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7854510 divided by 92406.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Let h(q) = -5*q**2 - 5*q + 5. Let t(j) = 5*j**2 + 6*j - 6. Let o be (0 + 1)\/((-4)\/(-24)). Let v(s) = o*h(s) + 5*t(s). Determine r(v(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.042 - 0.528. Let l = t + 0.07. Let q = l - -5. What is q rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + l**3 + 0*l + 2*l + l**3 + 0*l**3 - 3*l**3 + (0*l + 0*l + 2*l)*(l**2 + l**2 + 0*l**2) + l**3 - 4*l**3 + 5*l**3 + 8*l**3 - 28 + 28.\nAnswer: 14*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.02? (a) -0.0344 (b) 21 (c) -2\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29807.12 millennia?\nAnswer: 2980712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 991000 to the nearest 10000.\nAnswer: 990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 5*n**2\/2 - 4*n - 55. Let x(i) = -i + 1. Determine -9*x(s) - 2*y(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2494*v - 1052. Let l be j(-5). Which is bigger: l or 11416?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -36. Let b = -10 - r. Put -0.1, 0.2, b in ascending order.\nAnswer: -0.1, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -10. Suppose 10 = o*y, -2*a = a + 5*y - 132010. What is a rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 13*k**2 + 15*k - 24. Let s be r(12). Put 2\/5, 0.2, 0.05, s, 0 in increasing order.\nAnswer: 0, 0.05, 0.2, 2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g - 5 + g + 4*g - 10 - 14 as f*g + l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 3*x - 3. Let y be m(-3). Suppose -2*p + y*p - 10 = -5*b, 3*p = -3*b + 6. Solve -2*k + 8 = -p*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6, z - 326 = -4*z - 3*t. Calculate the remainder when z is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581\/(-3)*(-109 + 106)?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyjyytjyyhjtjyxh. Give prob of picking 1 j and 1 t.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 710908 and 1445356.\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -23, -42, -85, -158, -267, -418?\n\"Answer: -w**3 - 3*w**2 + 15*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from ueehhkehujehvu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4597*a - 754. Is f(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-120) + (-78)\/(-470). Let i = o + -4793\/1410. What is the common denominator of 44\/25 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(36\/(-38) - -1). Is h\/5 - (-4)\/10 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34476, 68585, 102336, 135735, 168788, 201501, 233880, 265931?\nAnswer: 297660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (105\/(-6))\/(-7)*8\/(-10). Is a greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 4*z**3 + 4*z**3 + 0*z**3 - z**4 + 0*z**3 + (-5 + 4*z + 5)*(-23*z**3 - 21*z**3 - 5*z**3) + 0*z**4 + 0*z**4 + 2*z**4.\nAnswer: -193*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -y, -2*y + 3*j = 5*j. Let l = 3 - y. Calculate the remainder when (-1)\/(-2)*5*2 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-6)*2 - (11 + -3)\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2*y**2 + 15*y + 3. What is the lowest common multiple of 6*(2\/4 + 0) and f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -50, -75, -96?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -383.376 * -4.\nAnswer: 1533.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/5 - 3*d**4\/5 - 123*d**3\/5 - 333*d**2\/5 - 216*d\/5 = 0. Calculate d.\nAnswer: -3, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -2\/13 (c) 0 (d) -11\/2 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/5)*k\/(k\/((k\/k**(1\/12))\/k*k)))**34)**32 assuming k is positive.\nAnswer: k**(21488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 17 - 7 = l, l + 4*g = 0. Suppose -26660 = -12*a - l*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {j: 1, k: 3, a: 1, y: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r. Let j(s) = 5*s. Let u be -17 + 15 - -1*8. Let m = -75 - -124. Suppose 3*t - m = -4*t. Calculate t*j(d) + u*x(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55366284?\nAnswer: 2, 3, 43, 61, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 20*v. Let l be k(-16). Let y = l + 68. Solve c - 1 = -3*h - 4, -3*h = -y*c + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 - 2*s - 13. Let h be y(6). Let m be 477\/99 + 2\/h. Suppose -9 = m*k - 34. Put k, 1, 4 in ascending order.\nAnswer: 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z. Suppose z*x - 33 = -3*x. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-2 - (-48)\/9). Solve 0 = 2*q + 3*q - d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 491673215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298683 = -111*f + 90*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 + 4*v**2\/3 + 2*v.\nAnswer: -2*v*(v - 3)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nennffn. Give prob of sequence nfe.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.38 (b) -1\/7 (c) -33\/29 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {b: 2, j: 7, s: 1, t: 7, l: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(11) + 3 + 0)**2 + 5.\nAnswer: -6*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -410004*y + 7. Let k = -19 - -22. Let x(c) = -820007*c + 15. Let w(f) = k*x(f) - 5*s(f). Let v be w(10). Round v to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -96*t + 16. Let m(k) = -19*k + 3. Let o be (-4)\/(4 - (-34)\/(-8)). Let h(j) = o*m(j) - 3*z(j). Let c(n) = -2*n + 7 - 7. Calculate h(c(s)).\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1718 != -1718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 989777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4316.207l to millilitres.\nAnswer: 4316207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49671954 and -0.18.\nAnswer: -49671954.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3378428.\nAnswer: 2, 19, 44453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/5 - 384*x**2\/5 + 24576*x\/5 - 524288\/5 = 0. What is x?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-528)\/(-64) - 9)*(-2 + 66284\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 3*t**2 + 2*t. Suppose 4*l + 8 = 4*j + 40, -16 = -5*l - j. List the prime factors of w(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76693 is divided by 4230?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -5, -9 in descending order.\nAnswer: 1, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/6 - 71*r**3\/6 - 180*r**2 - 168*r.\nAnswer: r*(r - 84)*(r + 1)*(r + 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1130.\nAnswer: -5650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = m + 3*f, -2*m + 44*f - 57*f = 182 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = 24*t - 23*t - 5*i, 3*t + 196 - 160 = i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {n: 2, s: 5, v: 4, h: 4, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6186 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**4 + 70*i**3 + 15*i**2 - 200*i - 140 = 0. Calculate i.\nAnswer: -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Suppose -24 = 4*j - 4*g, -15 = j + 4*j - 2*g. Let k be u(j). Put k, 1, 4 in ascending order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 2*s**3 + 4*s**2)*(-2*s - s + 0*s) + (-s**4 - 2*s**4 + 4*s**4)*(0 + 3 - 2) + 0*s**4 + 3*s**4 - 2*s**4.\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.65 + 39.65. Let h = t + -32. What is the smallest value in -9\/4, 5, h, -2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.33 + 2.83. Let b = d - 4.5. What is the closest to b in 6, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13826002, 27652006, 41478010?\n\"Answer: 13826004*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.264. Round p to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, 1 j, and 1 x when four letters picked without replacement from jxkxxxfxxfxfv?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*o - 22. Suppose 5*d - 3*v - 42 = 0, -d - 4*d + 48 = 3*v. What is the lowest common multiple of o and (d - 1)*14\/8?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*15\/(-50)*8\/66?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 355 = -1105. Let z = 660 - t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7526*n**3 + 15057*n**3 - 7528*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 21655535 - b - 32*b**2 + 21655535 + b.\nAnswer: -33*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12785, -25600, -38449, -51332?\nAnswer: -64249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.1 + -16.1. Sort 0, r, -2\/11, -7.\nAnswer: -7, -2\/11, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 6*s = 4. Let r(i) = -4 - 5 - 9*i - 13*i**2 - s*i**2 + 8*i**2. Let n(c) = -22*c**2 - 22*c - 22. Determine 5*n(g) - 12*r(g).\nAnswer: -2*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 124*k + 1851. What is the hundreds digit of j(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1585 to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 14. Let o be l(10). Let d = o + 77. Calculate the remainder when d is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88461 in 0.4, 0, -0.06, 10, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16534567981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 975 + -482. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351748.52 rounded to the nearest 1000?\nAnswer: -352000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by -75.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1761, 1760, 1759, 1758?\nAnswer: 1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2. Let i(u) = 13*u + 104. Let m(p) = -i(p) + 52*j(p). Let x(d) = 5*d**2. What is m(x(f))?\nAnswer: -65*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 91*w**2 + 2*w. Let i(c) = 13*c. Calculate a(i(z)).\nAnswer: 15379*z**2 + 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 3*v - 1. Let b(h) = -5*h - 26. Let o be b(-6). Suppose -5*u + 2 = -o*u. Calculate the least common multiple of u and z(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -2411, -3 in ascending order.\nAnswer: -2411, -7, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 3, d: 4, j: 2, s: 1}. Give prob of picking 1 d and 2 t.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207284478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/56238 and -49\/5343.\nAnswer: 7704606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6 - 3) + 3 + -26.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*q, q - 12 = 2*m + 3*m. Let b be (-81)\/(-18) - (-1)\/2. Solve 0 = 5*g - s + 4*s - 16, 4*s + q = b*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1770 + 3365. List the prime factors of d.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 60, 123, 200, 285, 372?\n\"Answer: -j**3 + 16*j**2 + 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) 167.8 (d) 3 (e) -2 (f) 0 (g) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 558096*j**3 - 2114*j**2 + 2114*j. Let h(m) = -1057*m**3 + 4*m**2 - 4*m. Calculate -3171*h(s) - 6*q(s).\nAnswer: 3171*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163326 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-51)\/(16728\/(-205)))\/(10\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-three halves of a millennium?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-3)\/240)\/(20\/(960\/16))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.1 + -1.9. Let r = d + 7.9988. What is r rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)*-1 + 6. Let x(c) = -2*c**2 + t*c**2 - c**2. What is the units digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -0*h - 5*i - 9, 0 = 2*h + 3*i + 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3374 and 43694746?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23517)\/(-81)*(-201)\/871.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Is q < -2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 2. Let t(i) = -4*i - 1. Let w(o) = -4*d(o) - 3*t(o). Suppose v = -3*p - 5, -3*v + 0*p - 15 = -5*p. Does 15 divide w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 10*x - 15. Calculate a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = h - 95, 94 + 71 = 3*t - 3*h. Suppose t = j - 56. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/70)\/((-2)\/((-8)\/(-2)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 3*i - i - 15 + 6*i as v*i + p and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x**3 + 0*x**3 + x**3 + (5 - 5 - 2*x**3)*(-18 - 15 + 11) - x**3 - 2*x + 5*x**3 + x to the form h + v*x + s*x**3 + m*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -104 - 115. Suppose 9*h - d = 177. Suppose -10 + 53 = 5*i - 3*j, 4*j - 38 = -2*i. What is the greatest common factor of i and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12334432043 - -1?\nAnswer: -12334432042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34367, -68347, -102317, -136277, -170227, -204167, -238097?\n\"Answer: 5*f**2 - 33995*f - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(sqrt(7) + 0) - sqrt(7))**2 + sqrt(567) + 4.\nAnswer: 9*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 t, and 1 e when four letters picked without replacement from {y: 1, o: 1, b: 2, t: 2, z: 1, e: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962772853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080749 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4 (c) -3\/5 (d) -3707\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/8)\/(3\/(-12)). Let d(w) = -7 - 4*w**2 + a*w**2 - w**2. Suppose -3*z - 25 = -4. Let v(p) = -p**2 + 4. Give z*v(f) - 4*d(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + 6. Let r(w) be the first derivative of 2 - 1\/2*w**2 + w. What is 6*r(l) - t(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -449.47, 0.1, -4\/7, 1 in increasing order.\nAnswer: -449.47, -4\/7, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5658540 is divided by 536.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128\/2363 smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 2:46 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 696?\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 91*s**2 + 377*s - 18. Give z(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3048, 3734, 4420, 5106, 5792, 6478?\n\"Answer: 686*f + 2362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 5*m. Let q = 14 + -21. Let s(d) = 3*d**2 + 7*d. Let r be (-2)\/12 - ((-87)\/(-18) - 0). Calculate q*a(l) + r*s(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1186.441996 and 1.6.\nAnswer: -1184.841996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Suppose 3*u = 3*w - 3, -48*w = -37*w + u + 13. Let y(l) = -3*l + 1. Determine w*y(n) - 4*x(n).\nAnswer: 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*k**2 + 2 + 4*k + 7 - 11 wrt k.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 22 = -5*b, 3*j + 6 = 2*b - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 46*w + 3. Let z(g) = -7*g**2 - 94*g - 5. Let u(o) = 5*m(o) + 3*z(o). What are the prime factors of u(-26)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 >= -90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 11:46 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 22 + 0*j**3 - 10 - 3*j**3 in the form b*j**2 + a + z*j**3 + c*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times -16.1?\nAnswer: 6.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1990 and -12\/78605.\nAnswer: 157210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3351*r - 5337. Determine j(1).\nAnswer: -1986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -28*x - 21*x + 42*x. Let m(j) = 2*j**2 - 2*j**2 + j**2. Calculate m(w(t)).\nAnswer: 49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -6*q. Solve q*c = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -545 + 1329. Let k = a - 257. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let y be l(-6). Let o(q) = -q**3 + q + 5. Let w be o(0). Put w, -5, y in decreasing order.\nAnswer: w, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((38164\/261)\/94)\/((32\/(-36))\/2).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 6:37 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3142313 (base 5) to base 15\nAnswer: -109c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m = -35*m + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g*g)\/(g\/(g**(-1\/2)*g)*g))**(2\/49) assuming g is positive.\nAnswer: g**(-13\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -68. Let u = -61 + i. Let z = 466 - u. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/12 + a**3\/3 - a**2 - 45*a. Suppose 0 = u - 3. What is v(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/11 + ((-24)\/88)\/(27\/(-1827))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*h - 3, -2*h = n - 57 + 48. Find the third derivative of -84*a**3 + 1320*a + 2*a**2 - 649*a - 21*a**3 - 728*a - 3*a**n wrt a.\nAnswer: -648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9642 - 14?\nAnswer: -12.0358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 15 = 9*j, -4*j = s + 11. Sort -9, s, 5 in increasing order.\nAnswer: -9, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-46 - 0 - (-248 - -227))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a67028 (base 12) to base 14.\nAnswer: -a60aac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -48 + 0 + 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2507035 to 3 decimal places.\nAnswer: -0.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 306 = -2*m + 4*r, m = -r + 160. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 790195*y**5 - 38*y**2 - 96356056*y.\nAnswer: 15803900*y**3 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*j + 2, -3*w - j = -23098. Suppose 2*t + t = -w. Let y = 17930\/7 + t. What is the common denominator of y and -47\/122?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195072 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 35*v**3 - 6*v**2 - 6*v - 12. Let l(y) = -2871*y**3 + 493*y**2 + 493*y + 986. Give -493*i(b) - 6*l(b).\nAnswer: -29*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.45 - 0.55. Let y = -44 + 45. Which is the closest to y? (a) m (b) 0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17064876479 to three dps.\nAnswer: -0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5 + 396*z**4 + 34720*z**3 + 33924*z**2 - 34718*z - 34320 = 0.\nAnswer: -65, -1, 1, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 43. Let a(m) = -m + 36. Let r(h) = 6*a(h) + 5*f(h). Let o(y) = -3*y**3 + 3*y - 3. Determine 4*o(w) + 12*r(w).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -39*u**4 + 33*u**3 + 162*u**2 - 132*u - 24 = 0.\nAnswer: -2, -2\/13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 978 divide 25717488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r**2 - 4*r - 14. Let g(f) = 12*f**2 - 3*f - 9. Let w(k) = 8*g(k) - 5*s(k). What is w(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-16)*(-300)\/(-125)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10031545 + 2?\nAnswer: -10031543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -607*v - 906. Let f(d) = 101*d + 139. Give -13*f(i) - 2*k(i).\nAnswer: -99*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 820132 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, o: 1, m: 8, r: 2, l: 2}. Give prob of sequence lom.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2\/23 (c) -0.02 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 8. Let m = 19 - 13. Let d be q(m). Solve -2*p + 7*p = 25, -4 = d*y - 2*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.45?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 18 + -35 + 7 - 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(45\/6)*40\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -120124, -234784, -349448, -464116, -578788, -693464?\n\"Answer: -2*o**2 - 114654*o - 5468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 14*p - 4250 = 0. Let j = -298 + p. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 3*f + 7\/120*f**5 + 1\/4*f**4 + 2\/3*f**2 + 5\/9*f**3 + 0 + 1\/180*f**6. Determine w so that s(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 j, and 1 g when four letters picked without replacement from gccgjcgggjgcg?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 10*z**2 + 7*z + 12. Let u be p(9). Let w be (-21)\/u*(-80)\/(-28). What is the greatest common factor of w and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Suppose 2*p - 4*t = 26, -27 = -4*p - 5*t + 8*t. Suppose -d = -p, 2*b - n*d = -2*b + 193. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-1 - 489\/(-486)). Let k = 31217\/12 - c. Find the common denominator of k and -81\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.761 to the nearest integer.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {y: 2, a: 3, o: 2, n: 2, m: 1, i: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*-310\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 45 = -21*g. Let x be 5\/(-3) - (-2)\/g. Suppose -3 = -2*v + 3*v. Put v, x, 4 in descending order.\nAnswer: 4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16 + 20 - -1*(-6 - -2). Let d = -6 + 8. Let h = -1.4 - -0.4. Which is the nearest to h? (a) x (b) d (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -2. Let m be 800\/130 - 2\/o. Let x(l) = 7*l - 6. Let h(k) = -5 + 10*k - 5*k + k. Determine m*h(g) - 5*x(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 1. Let r(y) = -53*y**3 + 5*y**2 + 8*y - 1. Give -2*c(i) + r(i).\nAnswer: -53*i**3 + 5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 - 35*w**2 + 4*w. Let x(j) = 4*j**3 - 35*j**2 + 5*j. Give -5*f(t) + 4*x(t).\nAnswer: t**3 + 35*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 29, 2047, 0 in descending order.\nAnswer: 2047, 29, 7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -124*v + 361. Let b be a(4). Is b at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(220) + (sqrt(220) + sqrt(220) + sqrt(220) + -1*(sqrt(220) - (sqrt(220)*1 + sqrt(220))) + sqrt(220) - sqrt(220)))\/sqrt(5) + 4.\nAnswer: 8 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031 (base 4) in base 15?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:37 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1742 and -56\/1333501.\nAnswer: 2667002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {k: 8, r: 1, m: 8, g: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 + 1 - 34)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41c + 77?\nAnswer: -3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o - 11. Let b(z) = -15*z + 1717. Calculate b(n) - 3*m(n).\nAnswer: -3*n + 1750","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168134 - 168134.79997. Let q = -0.8 - n. Round q to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + (-1 - 131))*(-3)\/9 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 20 = -5*n, 3*g = -39*n + 20*n + 17*n - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -421.3 minus 0.052?\nAnswer: -421.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121945*g**3 + g + 8 + 243886*g**3 + 3*g**4 - 121937*g**3 to x*g**4 + k*g**3 + h*g**2 + u*g + n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 34. Suppose 0 = -r + j*h + 613, -4*r = -2*h - 2*h - 2452. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.3. Let m be -2 + (-12)\/(-8)*68\/42. Which is the biggest value? (a) h (b) 5 (c) -0.4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/1*34\/(-136)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1259 and -825.\nAnswer: -1038675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*a**2 + a**5 - 14*a**5 - 21*a**5 + 37*a**2 wrt a?\nAnswer: -2040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = -10. Let x(y) = -i*y + 4*y + y**2 + 15 + 2*y. Does 3 divide x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 160*v**2 - 8*v + 3. Let b(q) = -480*q**2 + 28*q - 8. Calculate -2*b(t) - 7*y(t).\nAnswer: -160*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - j + 5, -2*f - 2*j = j - 12. Suppose f*z = -b - 5 - 1, b = 2*z + 9. Suppose b*u - 57 = 3*r, 2*u + 2*r - 15 = 19. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 13. Let b be i(-10). Suppose b*p = 15 - 0. Find the second derivative of -2*k**p + 7*k**5 + 10*k - 5*k wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1843 by -19.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 3*v - 2. Let p be y(6). Let d = 36 + p. Let j be (-10*(4 + -3))\/(-2). Solve -5*q + 3*i - j - 9 = 0, q = 5*i - d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + 21. Let z be 1\/(-2) + (-13)\/a. Let i = z + -1. Put 1, i, 3 in ascending order.\nAnswer: 1, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 567 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/n**(-5\/4))))\/((n*n**(-15)*n*n)\/n) assuming n is positive.\nAnswer: n**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d - 0, 5*d + 85 = -5*h. Let q = 20 + h. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001346 rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/10*(-135)\/6. Suppose 4*l - k = l. Solve 2*h + 1 = 2*o - h, -l = 2*o + 4*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96224*a**2 - 45628*a**2 - 47577*a**2.\nAnswer: 3019*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 3320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 56*m**3 + 195*m**2 - 585*m + 5. What is g(3)?\nAnswer: 1517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Suppose 4*z + 0*z = 12. Suppose m = z*m. Let d(b) = m*b + 0*b - 3*b. Determine -6*d(o) - 17*k(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4 and -36\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:44 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**5 + 5*f**4 - 3*f**3 - 3*f**2 - 2*f. Let h(i) = 3*i**5 + 21*i**4 - 12*i**3 - 12*i**2 - 9*i. Let t(v) = -2*h(v) + 9*n(v). Factor t(p).\nAnswer: 3*p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/62 greater than 1163\/2816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 1708980*l - 23926504.\nAnswer: 4*(l - 427259)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2904 and 77264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/((-13286)\/(-38763)) + 15\/(-7) + 2.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920074533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11510255.99 + 11396207. Let s = 114945.9463 + b. Let z = -897 + s. What is z rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208 + 50*q**2 + 208 to the form z*q**2 + a + t*q and give z.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 59543.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3018 and 9054?\nAnswer: 9054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 - -4.77. Let h = w - 1.8. Let q = h - 3.77. Which is the closest to 0? (a) 1\/3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-13 - (2 + -10)) + -17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.115698 * 0.415.\nAnswer: 0.04801467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4025, 1\/4, -39?\nAnswer: 4025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 14006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*k = -77*k - 70 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (32\/8)\/4*5\/8. Let k = 123\/184 - d. Which is the biggest value? (a) 3 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -934 (b) -51 (c) 37 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-11)\/(1980\/(-63)))\/(-18*3\/(-90))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60115 = 5644*y + 126781 + 325641 + 166449 for y.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -433020 divided by 7?\nAnswer: -61860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2039 + 27288. What are the prime factors of k?\nAnswer: 29327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c + 52. Let d be y(-12). Suppose m = t - 5 + 3, d*t - 16 = 0. Let f(o) = m*o + 2*o + 6*o - 3*o. Let u(n) = -8*n**2. Calculate f(u(r)).\nAnswer: -56*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/8 + 15225\/56. Suppose 0 = 5*i - t - 848. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19628397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32484 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 5*a - 34, 7*q + 21 = 5*q + 3*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*m - 2 - 8, 7*v + 11 = m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-7))\/(r*r*r**8))**(3\/22)*(r*r**(1\/4))**(3\/22)\/(r**(-1\/4))**(2\/93) assuming r is positive.\nAnswer: r**(-16417\/8184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3789 - 3785. Let r be ((-1 + 2)*-2)\/2. Let j = r + 43. Calculate the smallest common multiple of j and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 17. Let y be o(10). Solve 2*x + 9 = -y*u, -3 = 5*u + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136142 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1200 + 629. Let w = d + 580. Solve 3 = v, -w = 2*i + v - 2*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 10 = -46. Suppose -2*w = -3*t - a, 0 = -4*w - 0*t + t + 19. Suppose -60 = w*d - 225. What is the highest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 72695454*i - 440385752688843.\nAnswer: -3*(i + 12115909)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*k**3 - 4*k**2 - 44*k**3 + 5*k**2 + (0*k - k + 2*k)*(-4*k**2 + 3*k**2 + 4*k**2) + (6*k**2 - 6*k**2 + 2*k**3)*(-4 + 2 - 1) + 2*k**3 - k + k.\nAnswer: -19*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 108*r**2 - 663*r - 33. Determine j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 4*y**2 - 4*y - 2. Let c be o(-4). Let x be (c\/3)\/(2\/6). Let s be 4\/(-14) - (-18)\/x. Is s less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -113, -86, -13, 130, 367?\n\"Answer: 4*v**3 - v**2 + 2*v - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 193, 234, 257, 256, 225, 158, 49?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 29*v**4\/4 - v**2. Let i be h(1). Suppose -36 = 3*q - i. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53779?\nAnswer: 11, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:12 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + -2 + sqrt(147) - sqrt(147)) + (-1*(3*sqrt(147) - sqrt(147)))**2 + 1.\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3767*a + 1095*a + 381*a - 83696 = 12*a for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39364862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 6211709.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43.938 and -312?\nAnswer: 13708.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 628.063 years?\nAnswer: 6.28063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 2\/49 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 343536485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 69728 + 244728. Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 36*c**3 - 100543*c + 38*c**3 + 3*c**2 + 99513*c to i + f*c + o*c**3 + z*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 1, w: 1, y: 1, f: 1}. Give prob of picking 1 w, 1 y, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5183, -16, 1, 3, 2, 11, -4 in descending order.\nAnswer: 11, 3, 2, 1, -4, -16, -5183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-2\/63)*j*j))\/j*((j\/(j\/(j\/j**(6\/23))*j))\/j*j)\/j assuming j is positive.\nAnswer: j**(-6128\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - v**2 - 4. Let w be s(0). Let j(z) = -z - 2. Calculate j(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12 + 5 + (-4)\/1. Let v = -44 - k. Let q = v + 54. Solve 3*c = -3*a + q, -4*a + 4*c = c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2051 + -651. Suppose -4*p + c = 5*k, 4*k + 2*p - 1120 = -p. Suppose 10*n = 2*n + k. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2638 (base 9) in base 2?\nAnswer: 11110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71340 is divided by 146.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601a (base 14) in base 9?\nAnswer: 152008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52739 - 18300 + 110312 - 4135 - 2*p.\nAnswer: -2*p + 140616","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82254394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 7*d - 8. What is k(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13349309 is divided by 115.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35794 - -0.238. Let f = y + 0.12. What is f rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 3. Let l be v(0). Let s be l\/(0 + (-3)\/2859) + -1. Suppose -5*g - 3*z - 344 = -5112, -3*g + z + s = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -6*o + 13*o - 85. Solve 0 = -3*f - 2*s + 9, -5*f = -2*s - o + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114534167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n + 1. Let q be u(0). Suppose -l - 2*l - q = r, 4*l = -8. Suppose -11 - 24 = -r*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*p + 658 - 21 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286770.\nAnswer: 2, 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {w: 4, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 22 = -27*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -6)\/(-1 + 0). Suppose c - 5 = -2, 0 = 4*f + 2*c - 86. What is the highest common divisor of f and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 4*f**2 + 2*f**2 - f**2 + 0*f**2 + 0*f**2 + (4*f - 3*f - 3*f)*(-f + 0*f + 0*f) + (4*f - 4*f + 3*f**2)*(-3 + 4 - 3).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9951 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 4, b: 1, q: 3}. Give prob of picking 2 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g**2 - 13*g**2 - 14*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/8 and (8\/(-50))\/(-2) + 171054\/(-16408800).\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 291754.\nAnswer: 875262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 562.6732 minutes?\nAnswer: 33760392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-7) - 54\/(-189). What is the lowest common multiple of 80 and (11\/4)\/(((-1)\/8)\/s)?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(117) + (sqrt(117) - -2*sqrt(117)) + sqrt(117))*1*-1)\/(sqrt(108)\/(sqrt(12)*2*-4)).\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 12*w + 30. Let n be f(-14). Find the third derivative of -11*g**4 + 7*g - 7*g**2 + 2*g**n - 7*g wrt g.\nAnswer: -264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i + 104*i - 207*i + 1146 = 0. Let y(h) be the first derivative of h**4\/4 - 5*h**3\/3 - h**2 + 4*h - 1. What is y(i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13210?\nAnswer: 2, 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 + 13*x - 34)*((x + 4*x - 3*x)*(2*x + 0 + 0) - 327*x**2 - 327*x**2 + 608*x**2 - 2*x**2 - 4*x**2 + 4*x**2) to d*x**3 + j*x + s*x**2 + f and give d.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0944 - -3.42?\nAnswer: 3.5144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4654*v - 324*v**2 + 4253*v - 152*v**2 - 291*v**2 wrt v?\nAnswer: -1534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34401 and 6?\nAnswer: 206406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.4773685 rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1 + (-4)\/(-6)). Let q(s) = 5 + l*s + 3*s - 2*s - 1. Let w(v) be the third derivative of -v**4\/24 - 5*v**3\/6 - 5*v**2. Determine -3*q(o) - 2*w(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -21. Let o = -3.6 - f. Let j = 0.1 + -0.1. Which is the nearest to j? (a) -5 (b) -2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163\/5 - -33. Suppose -5*p - 3*u + 72 = -7*u, 5*u + 15 = 0. Let a be (3\/10)\/(p\/16). Is a equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/40)\/(((-216)\/15)\/(-4))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(2736) - -2*sqrt(2736)))*-5.\nAnswer: 175*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, k: 3}. Give prob of picking 1 k and 3 x.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-1) + (5 - -129) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39935 and 18480.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 4 - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 4*w - 2. Calculate k(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -9*s**2 - 5. Let i(c) = c + 12. Let k be i(-9). Let g(l) = -46*l**2 - 26. Let d(f) = k*g(f) - 16*y(f). Find the first derivative of d(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + -2. Let o(c) = 3*c + 17. Let n be o(k). Let f(u) = u. Let d(b) = -b**3 + 4*b - 3. Let x(t) = n*f(t) + d(t). Differentiate x(a) wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2200 = -2*p. Round p to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*((0 + sqrt(832) + 0 - sqrt(832) - sqrt(832)) + sqrt(832)*2 + 3 + (2 + sqrt(832) + 1)*-5).\nAnswer: -768*sqrt(13) - 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(4 + sqrt(33)\/sqrt(3) + -4)**2.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a. Let o(s) be the second derivative of 3*s**3\/2 + 3*s**2\/2 + 17*s. Calculate u(o(y)).\nAnswer: 18*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhp when three letters picked without replacement from {k: 2, o: 4, p: 4, v: 6, h: 2, j: 1}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**4\/4 + f**3 + f**2 - 4*f + 2. Let z(u) = u**3 + u. Let c(a) = -t(a) + 2*z(a). Determine k so that c(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 3*g + 3 + 2*g - 3 + (-2 + 1 - 1)*(-2 - g + 2) + 0 + 0 + 2*g in the form s + o*g and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1474 = 5*r, -5*v + 5*r + 784 = -1061. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -y + 27, 11177*y + 27 = 11178*y - n for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + z. Let t(a) = -13*a**3 + 7*a. Let p = -33081 + 33067. Calculate p*v(g) + 2*t(g).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47\/3 - 15. Let a = -768 + 766. Put -0.4, a, 3, h in decreasing order.\nAnswer: 3, h, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 1. Calculate i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lemlm. What is prob of picking 1 l and 1 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*r**3 + 128*r**3 + 131*r**3 - 386*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Let q(w) = -w**2 - 3*w**2 - 186*w + 186*w. What is q(m(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89823 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311 + -171. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 5*t**2 - 5*t + 50. Let z(x) = -x**3 + 3*x**2 + 3*x - 25. Determine -3*k(r) - 5*z(r).\nAnswer: 2*r**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610370 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + -2) - (-23 - (-15 + 5))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*f - 313*f - 278*f - 5886*f**3.\nAnswer: -5886*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/((-36)\/328) - -1. Suppose 333 + k = 4*g. Let v = -36 + g. Calculate the remainder when v is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*b**3 + 14*b**3 + 992*b**2 + 7*b**3 + 364*b**4 - 160*b**4 wrt b?\nAnswer: 4896*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + g + (5 - 1 + 0)*(-1 + 1 + g) + g + 3*g - g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8))\/((-11)\/(-3476)). Let u = -53 - f. What are the prime factors of u?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 22*p**3\/3 + 17*p**2\/2 - 28*p. Is z(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 309 and 4429.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/24 + 5*v**3\/3 - 3*v**2. Let a be z(-5). Is 13 a factor of (-2)\/5 + 242\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v = 43*v - 105. Which is bigger: -34 or v?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:11 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z + 3*k + 15, 0 = 3*z - 5*k + 43. Let m = -11 - z. Which is greater: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -4143.7.\nAnswer: -4143.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8587548*-1\nAnswer: -8587548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 9 - 4. Calculate the remainder when 47 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9*(-3)\/1. Let p(i) = -4*i + l*i + 3*i + 9. Let f be p(-7). Let z(x) = -x**3 + x**2 + 2*x. Give z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 3:29 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40341 + -26756. List the prime factors of n.\nAnswer: 5, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 31. Suppose -13*u + q*u = 60. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/16 + 28167\/(-386552). Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 541*h**4\/4 - 333*h**3 + 436. Find the third derivative of z(j) wrt j.\nAnswer: 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.853 - 0.653. What is the second biggest value in -3\/5, 7, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p - 67. Let v be ((-65)\/(-39))\/((-2)\/6). Let n(f) = 4*f - 34. Let c(d) = v*n(d) + 3*q(d). Calculate the remainder when c(11) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rblluuulbrlbru. Give prob of picking 1 b, 1 u, and 2 l.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7593 + -7593. Put 3, -89, 4, h, 2 in decreasing order.\nAnswer: 4, 3, 2, h, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 + 11*c - 10. Let t(i) = 4*i**2 + 21*i - 19. Determine 11*o(z) - 6*t(z).\nAnswer: -2*z**2 - 5*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*k + 13. Suppose 7*d - k = 13. Solve -d*b = -b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 32 - 20 = 0. Let p be ((-51)\/(-18) - 3)\/(z\/3). Which is the smallest value? (a) -2 (b) p (c) 2\/15 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741627 less than -1501.53694?\nAnswer: -743128.53694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 7*q - 4. Is i(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*w**4 + 108*w**4 + 9*w**4 + (0*w**3 - w**3 + 0*w**3)*(-7 + 7 + w).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrg when four letters picked without replacement from rgggrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 16*c**2 + 14*c + 21. Let p be v(15). Let z be (-1 + (-3)\/(-2))*p. What is the nearest to 0.1 in -1\/3, 2, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/204 + (-62)\/186 + (-212)\/3?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rho when three letters picked without replacement from ohrjrrjrhrrjjr?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3263 is divided by 1198?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 104096*r. Let i(l) = 6*l**2. Calculate i(j(h)).\nAnswer: 65015863296*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 741471 = 4*d, 77*d - 79*d = 2*w - 494312. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -114. Let m(k) = -14*k**3 + 3*k**2 + 5*k - 3. Let a(p) = -13*p**3 + 2*p**2 + 4*p - 2. Let i(z) = x*m(z) + 4*a(z). Calculate i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-14)*-2)\/(1\/(-15)). Which is greater: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = 3*q, 64*f = 61*f - 3*q - 6. Solve -z - z = f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2467 times 10\nAnswer: -24670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * -3511.\nAnswer: -108841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 6*r + 1. What are the prime factors of q(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7449?\nAnswer: 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 1, 4*w = 3*i + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (2 - 1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*u = 53109 + 24094. Calculate the remainder when 2142 is divided by u.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x + 160. Let s be t(-12). Suppose -2*c = -s*m - 924, 3*m = -5*c + 877 + 1368. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1107, -2204, -3301, -4398?\nAnswer: -5495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 494774332.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 0, -6, 0.115?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*z**2 + 33*z**2 + 58*z**2 + (-63*z**2 + 36*z**2 + 196*z**2)*(1 - 2 + 3) + 2*z - 2*z**2 - 2*z.\nAnswer: 390*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-638)\/(-145))*(0 + 1\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**43*((j\/(j**8\/j)*j*j)\/j)\/j**(-10) assuming j is positive.\nAnswer: j**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5 - 10\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10868*d**3 - 6453*d**3 + 11957*d**3 - 28741*d**3.\nAnswer: -34105*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 55*m**3 + 25*m + 30. Let w(p) = -9*p**3 - 4*p - 5. Let u(y) = -4*v(y) - 25*w(y). What is the derivative of u(a) wrt a?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + 1 + -6 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19612039?\nAnswer: 67, 292717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/27760 and 77\/10680.\nAnswer: 7411920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 12*i - 16. Let f be c(14). Let k(h) = -f*h - 8*h + 16*h. Let r(z) = 11*z**2. What is k(r(p))?\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:26 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 145*o**2 + 65*o + 13. Let j(r) = 71*r**2 + 30*r + 6. Let f(m) = 13*j(m) - 6*s(m). Let v(h) be the first derivative of 3*h**2\/2 + 3. What is v(f(y))?\nAnswer: 159*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + n + 2*n - 12 = 0, n = -4*k + 4. Suppose 5 = 2*b + 3. Solve g = -k*g + b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 2. Let f be q(2). Suppose -2*k = -5*m + 16, -k - 4*m = -f - 16. Suppose -5*g = b - 19, -k*g = -0*g + 6. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 30. Find the second derivative of 29*q + 2*q**5 + 4*q**y - 2*q**5 - 21*q wrt q.\nAnswer: 80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.7. Let h = 2.8 + -3. What is the smallest value in -1, h, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96 less than 713?\nAnswer: 714.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 56076.328+1221.4\nAnswer: 57297.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 476*p**2 + 5*p + 9*p - 9*p - 5*p.\nAnswer: 476*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*c = -24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2403864 divided by 14?\nAnswer: -1201932\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13247, -13249, -13251?\n\"Answer: -2*x - 13245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -0.39 (c) -0.7 (d) -0.3 (e) -2\/3 (f) 386\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55131 (base 8) to base 12.\nAnswer: 11475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + ((4*(sqrt(228) + sqrt(57)))\/(sqrt(300)*-1 - sqrt(300)) - ((sqrt(228) - (sqrt(228) + -2*sqrt(228)))\/sqrt(12) + sqrt(19) + -1 + sqrt(475))))**2.\nAnswer: -172*sqrt(19)\/5 + 70312\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**6)\/(w\/(w*w**7\/w)))**25\/(w**(1\/10)\/w**(3\/8)*(w*w**6\/w)\/w**(-5)) assuming w is positive.\nAnswer: w**(12571\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 195751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 1096.\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17022735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**6\/6 + u**5\/4 - 5*u**4\/6 - 4*u. Solve g(n) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 11) to base 10\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/9*(-195)\/1820*-21?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k**2 - k + 5. Suppose -5*i + 5*j = 45, 4*i = -2*j - 2 - 4. Determine q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 16. Let v(i) = -4*i**2 + 3*i - 3. Let s(t) = -5*t**2 + 4*t - 4. Let z(x) = 3*s(x) - 4*v(x). What is j(z(f))?\nAnswer: 2*f**4 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 1:55 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**3 - 4*t**3 - 20*t**3 + 7*t - 7*t**3 - 5*t in the form a + q*t**3 + u*t + i*t**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 161, 341, 539, 755, 989, 1241, 1511?\n\"Answer: 9*w**2 + 153*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.063063 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3229664*0.1.\nAnswer: -322966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 521631 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14288895601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 9*v. Let g(j) = 83*j + 7644. Calculate g(a(d)).\nAnswer: -166*d**2 + 747*d + 7644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 45. Let h(x) = x**3 + 14*x**2 + 45*x + 9. Let a be h(-5). Find the second derivative of n*v**2 + 3*v**2 - a*v**2 - 4*v wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 93724\nAnswer: -13\/93724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 189. Let j(m) = -39*m**2. Determine j(y(r)).\nAnswer: -156*r**2 - 29484*r - 1393119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/105)\/((-36)\/42)*3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -61\/5?\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 4*s - 0*s - 2*i, -96 = -2*s - 3*i. Let q be s\/18 + 2\/6. What is the second derivative of -16*m + m**3 + 2*m**3 - 22*m**3 - 4*m**q wrt m?\nAnswer: -138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*u + 4, 3*f - u + 601 = 593 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/143 - 1520386\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q**(8\/9))\/(q**(3\/5))**(-1\/20) assuming q is positive.\nAnswer: q**(10727\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 292*a - 867. Let i be t(3). Calculate the greatest common factor of i and 1998.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = -w. Let o(s) = -2*s - 7. Let k(d) = 1. What is w*k(b) - o(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/12)\/(-5)*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*o**3 - 53*o**4 - 27*o**3 + (o + 0*o + o)*(o**3 - 2 + 2) - 13*o**4 - 26*o**4 + 4*o**4 to the form t*o**3 + f + z*o**4 + m*o + v*o**2 and give z.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32813.8 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**6\/30 - 9*t**5\/5 - 73*t**4\/12 - 97*t. Find the third derivative of u(f) wrt f.\nAnswer: -24*f - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 75. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2. Let s(a) = -2*a**2 + 5*a - 2. Let m(k) = -3*f(k) + s(k). Let r be m(-6). Solve r*i - 25 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18240 divided by 5.\nAnswer: 3648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 708 and 239.\nAnswer: 169212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + (6 - 3). Suppose -9*y = 143 + 3457. Let l = y - -424. Solve -d + 0*d + j - t = 0, 0 = 4*d + j + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29\/284630 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (6 - 4) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*((-27)\/15 + 2). Solve 8*k - l*k - 10 = 5*v, -2*v - 13 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 + 6. Let i(x) = x**3 - 2*x. Let a be i(2). Let g = a - 26\/7. Is p greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:15 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-3) + 4\/(-84)*-69. What is the closest to -35\/4 in x, -4, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/4 - r**3\/6 + 9*r**2\/2 - 85*r. Let w(g) = -g**2 - 5. What is -3*p(q) - 5*w(q)?\nAnswer: -4*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*k**5 + 366*k**2 wrt k.\nAnswer: 5400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -315601 + 1911947\/6. Let x = z + -3064. Let h = 56 - 45\/2. Find the common denominator of x and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(156) - 5*3*sqrt(156))\/(sqrt(72)\/sqrt(6)*-3 - sqrt(12)) - (4*-6*sqrt(78)\/sqrt(6) + 5)).\nAnswer: -2 + 55*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -305430 and 16.\nAnswer: -4886880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(15\/50))\/(4\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 92. Let u be (-50)\/y + (-6)\/(-36). Which is the third smallest value? (a) u (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 7814 = 455*w + 2706 - 5334 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*k = 4549 + 764. Solve 1140*m - 1147*m = k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/30 - 81\/(-90) - (-3)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**3 + 3*v**3 - 4*v**3 + (-v + 2*v + 2*v)*(-2549*v + 630*v**2 + 2549*v).\nAnswer: 1885*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 26140411*i + 3 + 1.\nAnswer: 26140411*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 7. Let u be b(-5). What is the second derivative of -8*y**u + 3*y**3 + 4*y + 0*y - 2*y wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p = -39*p - 40. Solve -4*s = s + p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53392 - -53443. Let s = 45 - -104. Calculate the remainder when s is divided by y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(6\/17))\/h**27 assuming h is positive.\nAnswer: h**(-448\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/12)\/(-48 + 59744\/1248)?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -692, -2795, -6300, -11207, -17516, -25227, -34340?\nAnswer: -44855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 78*n + 1546. Let q be u(-44). Solve 0 = 53*m - 156 + q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from liiipplliipililu. What is prob of sequence ipii?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-270*w**3 - 206*w**3 + 70*w**3)*(0*w - 12*w + w) + (3*w - 4*w + 2*w)*(0*w**3 + 3*w**3 - w**3) to p*w**3 + x*w**4 + j*w + f*w**2 + t and give x.\nAnswer: 4468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0*i - 1 + i + 4. Suppose -4*b + 8*b = 11*b. Let f be z(b). Solve 2*n - f*d + 17 = 0, 0*n = -3*n + 5*d - 28 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9*u + 6*u = 27, 2*m = 3*u + 15. Suppose 3 = -t + m. Solve -t*r - 6 = -3*a, 2*a = -2*a + 3*r + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 524.3763 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4, -2\/7, -1, -0.3, -20480 in decreasing order.\nAnswer: 4, 0.5, -2\/7, -0.3, -1, -20480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4 + 656*w**3 - 23182*w**2 - 50916*w + 73440 = 0.\nAnswer: -360, -3, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4)*(((i*i**(-1\/5))\/i)\/i)\/i*i*i**(-4)*i**(-2))**(-2))**(-17\/6) assuming i is positive.\nAnswer: i**(-2533\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k - 20. Solve o - 21 = -5*l - 0*o, k*l - 40 = 5*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 6. What is the smallest common multiple of f and 18\/3 + (-1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 11*y**3 - 6*y**3 - y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 19. Let r be w(-18). Let i(z) = -2*z**3 + 3 - 3 + z**2 + z. Determine i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3 + 630831*s**2 + 95834328*s + 3641046000 = 0. Calculate s.\nAnswer: -210125, -76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93132 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 2*v**2 + 2*v - 3. Let l be w(2). What is the second biggest value in 2\/5, 1\/2, l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -32506?\nAnswer: -32508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -1)\/2 + 3. Let d(j) = -j**2 + 2*j - 1. Let a be d(q). Let u be a\/2 - 10\/(-4). Solve u*k - 2*h + 16 = 0, 5*k - 7 + 32 = 2*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909681?\nAnswer: 37, 51613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21064452*l**3 - 159 + 159 + 21064449*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 2. Suppose 20 - 92 = -i*n. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 47, -3, 65, 54 in decreasing order.\nAnswer: 65, 54, 47, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001473539 to six dps.\nAnswer: -0.001474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 0. Suppose 0 = 5*v - n*v - 15. Suppose 2*i + 195 = -v*i. Round i to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aijaiaxappfiifpjfffp. Give prob of picking 1 i and 1 a.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-220) - (-13)\/130 - (5715\/(-99) + -13)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5390\/59, 2 in descending order.\nAnswer: 5390\/59, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 1, l: 1, c: 1, m: 1, f: 1}. What is prob of sequence om?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*b = b - 76, 2*a = 2*b + 54. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 + 17*w + 6. Let p = 107 - 71. What is the remainder when p is divided by y(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 139?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - (11410\/21)\/(-10))*6.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.9645 millennia in decades?\nAnswer: 38896.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 3*(sqrt(75) + 0) + sqrt(75))**2.\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - p - 1. Let d be w(-1). Solve -r + 0*r + d = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 7*s + 52. Let l(w) be the second derivative of 2*w**4\/3 + w**3 - 17*w**2\/2 - 24*w. Calculate the remainder when l(4) is divided by s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {h: 2, u: 1, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -5*y**4\/2 + y**3\/6 + 15*y**2\/2 - 95*y. Find the first derivative of q(h) wrt h.\nAnswer: -60*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-802 + 82 + 98)*(2 + 3*f - 4*f + 2*f) as k*f + n and give k.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -85571009498364.\nAnswer: -85571009498366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n + 5. Let q(v) = -8*v**2. What is q(j(t))?\nAnswer: -392*t**2 + 560*t - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 2*h - 2. What is the least common multiple of z(6) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 157\/24*g**4 - 28 - 83\/6*g**3 + 0*g + 4*g**2. Differentiate v(l) wrt l.\nAnswer: 157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484209 is divided by 312.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.271839 millimeters in micrometers?\nAnswer: 271.839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*-250\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/2 + 1 + -3. Let s = 16 + r. Suppose s = 4*p - 28. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505204 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2203, -2207, -2213, -2221?\n\"Answer: -c**2 - c - 2201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjjjjjjjpj. Give prob of picking 1 p and 3 j.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 - 10*d + 7. Let v(r) = 8*r**2 + 29*r - 20. Let q(k) = 11*t(k) + 4*v(k). Let u be q(4). What are the prime factors of 10\/1 + u + -3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.37 - -188.37. Let a = u - 188. Let z(l) = -l - 14. Let y be z(-11). Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -297*w. Let i(j) = 18*j. Let b(m) = m. Let q(t) = b(t) - i(t). Let v be (51 - 29)\/(2*1\/(-8)). What is v*q(d) + 5*u(d)?\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 866909 a multiple of 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c - 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -21 - 9. What is the smallest common multiple of 8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/7 + 9*r - 990\/7.\nAnswer: -(r - 33)*(r - 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*r**4 + 25*r**3 - 25*r**3 - 33 + 17*r**4 with respect to r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 4*b + 56. Suppose -3*n + b = -2*n + 2*x, -4*n + 3*x = -1. What is the common denominator of 755\/45*(-3)\/n and 81\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 6*n**3 + 3*n**3 + (-3*n**3 + 2*n**3 - 5*n**3)*(-1 - 1 + 1) to the form k*n**2 + h + r*n + w*n**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9077 - 1563.6923. What is r rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11\/2, 2\/379 in descending order.\nAnswer: 11\/2, 2, 2\/379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/((z\/(z\/(z\/(z**(-5)*z*z))))\/z))**(-5\/16))**(3\/44) assuming z is positive.\nAnswer: z**(-15\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95844041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 25\/33 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(6*u - 4*u - 3*u) + 0*u + u + 6*u + u + 7*u - 2*u + (-3 + 3 + u)*(4 - 1 - 1) - 1 + 1 + 4*u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 32 - 28 - 127*s to l + d*s and give d.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24441 + 1324414?\nAnswer: 1404410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (58 - 27 - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*c - 525*c + 609819 - 609819.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 > 394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*h**3*v**2 - 22599*h**3 - 16*h**2*v + h*v**2 - 210*h*v + 2*v**2 - 12 wrt h.\nAnswer: -822*v**2 - 135594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - -93 - (22 - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10989)\/36)\/((-5)\/40). Suppose -127*y + x = -116*y. Calculate the greatest common factor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -98, -176, -254, -332?\n\"Answer: -78*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 14*w - 11. Suppose 3*u = u + 8. Suppose u*z + 19 = 3. Let o(m) = 5*m - 4. Give z*v(k) + 11*o(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5134717656 - -5134717709.00000027. Let h = -53 + f. Round h to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-x + 4 - 4)*(-1 + 0 + 4).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.166 - 0.466. Which is the smallest value? (a) f (b) 0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y = 67*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149540*x**3 + 298972*x**3 - 149453*x**3.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401444307 to the nearest integer?\nAnswer: 20036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 23 = -3*q, q - 16 = -2*r - r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 496857, 496799, 496705, 496575, 496409, 496207, 495969?\n\"Answer: -18*q**2 - 4*q + 496879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*g = -2*p - 238, 4*p = 2*g + 1042. What is the remainder when p is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y. Let u = 6 + -5. Let a(t) = -4*t - 1 + 6*t + u. Calculate l(a(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (0 + (1 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(13249*r**4 + 13160*r**4 + 2620*r**4 - 7337*r**4 + 1808*r**4 + 13453*r**4) as m*r**4 + k*r**2 + u*r**3 + a*r + f and give m.\nAnswer: -73906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 29*z - 143. Determine a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.07, -2, 0.2, 3.88, -5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127456.1454 rounded to the nearest 1000?\nAnswer: 127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6646655?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-9))\/(-7*29\/(-3654)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9103744 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*g - 63*g - 70*g - 143*g)*(g + 3*g - 2*g).\nAnswer: -592*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.3. Let t = 0.3 - b. Let d = -643\/5 - -129. Put -1, d, t in descending order.\nAnswer: d, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5494*g + 254 = -5414*g - 146 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**3 + 6*u**2 + 3*u - 20. Let a be g(-4). Let h = -432 + a. Solve s - 5*s = -h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 4. Let k be a(-5). Let p(s) = -s - 1. Let n(r) = 2*r**2 + 5*r + 3. Let w(t) = -n(t) - 4*p(t). Give w(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-40)\/(h**(2\/103)*h)*(h**(-9\/8))**3)**(4\/27) assuming h is positive.\nAnswer: h**(-36581\/5562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 + 23962*f**3 - 167820*f**2 + 143856*f = 0. Calculate f.\nAnswer: -11988, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5048097541 to the nearest integer?\nAnswer: 71050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 3*q**3 + 3*q**2 - 14*q**3.\nAnswer: -11*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbppbb. Give prob of sequence bb.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 3*u**2 + 5*u**2)*(-6*u**2 + 4*u**3 + 6*u**2) + 3*u**5 + 2*u**2 - 2*u**2 + (1 + 3 - 3)*(-u**5 + 2*u**3 - 2*u**3).\nAnswer: 22*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/3 + 16\/48)*(-1 - (-152)\/120)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3142 - -522. What are the prime factors of w?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2598 = -5*w, 0*w + 4*n - 2599 = -5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/8 - 3)\/(60\/48). Let w(k) = 2*k + 0*k - k**2 + 17*k + 0*k**l - 14 - 8*k. Determine w(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:02 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -762 by 1.\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 47 + 41. Let k(z) = 1. Let h(j) = 50*j - 2. Let l(g) = f*h(g) + 6*k(g). Is l(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113746\/19 at least 5988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/3 and 52\/26593.\nAnswer: 79779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91831 and 1048.\nAnswer: 734648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555.776 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w + 77. Let d be a(-22). Let b be (1 + 0)*-3 - d\/(-55). Solve -n - 1 = -b*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 119*v**2 - 2483*v + 118. What is g(-92)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -10.3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 116866849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -2*c**3\/3 + c**2\/2 + 4*c + 1. Let w(r) = 3*r + 16 + 3*r**2 - 23 - 2*r - 2*r. Determine 5*o(j) + 3*w(j).\nAnswer: -j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 11*h**2 + h - 11. Let l be p(11). Suppose l = m - 4*m - z + 60, 3*m = z + 66. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000183148045 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - 5*b)*(21 - 217 - 4)*(-b - 2*b + 4*b).\nAnswer: 200*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(117\/(-18000002)) + (-6)\/27. Round g to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (3 + 16)\/(-1). Let n(g) = -2*g - 12. Let i be n(-7). Let l be 5 + (-4 + i - 1). What is the greatest common factor of l and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3228662.\nAnswer: 2, 1614331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**7\/420 - n**6\/180 - n**3\/3 - 2*n. Let b(w) be the second derivative of t(w). Find the third derivative of b(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -6133, -2\/5, 0.1, 4, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180816 by 6.\nAnswer: -30136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 150, 149, 138, 117, 86, 45, -6?\n\"Answer: -5*i**2 + 14*i + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 346435643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -227 * 3\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660007202?\nAnswer: 2, 83, 3975947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -9*w + 5130. Let l = w - 447. Calculate the highest common factor of l and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386132 divided by 1?\nAnswer: 386132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + u + u**2 - 10*u**2 - 5*u + 5*u + (-2*u + 2*u - u**2)*(1 + 1 - 1) + 3*u - 2*u**2 - 3*u - 2*u**2 - 2*u + 2*u as a + q*u + r*u**2 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let g(s) = -50 + 81*s**2 + 23 + 27. Determine c(g(f)).\nAnswer: 6561*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let p(a) = 0*a**2 - 2*a**2 + 90214 - 91178. What is k(p(u))?\nAnswer: -2*u**2 - 964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -178 + 173. Which is the nearest to 30? (a) i (b) -0.3 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 60, 91, 118?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xix when three letters picked without replacement from xxzxxzxixzxxxxxx?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-27)\/(-6) - (-69)\/(-138). Solve -16\/7*w - 19\/7*w**q - w**4 - 4\/7 - 1\/7*w**5 - 25\/7*w**2 = 0 for w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 557\/5. Let j = -14.984 - 0.216. Let c = j + 15. What is the closest to -0.1 in c, 0.5, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 1. Let v be p(-1). Suppose -5*a + 20 = -v*a. Solve -3 = -2*l + b - 9, -36 = a*l + 4*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 56538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 1 - 3)*(-3 + 6 - 2) + 11 - 13 - 41 - 1 + 5 - 2)*(4*q - q - 4*q) to a*q + s and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000234302 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -58*p**2 + 2063*p - 32. Is c(34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(11) + -1) + -2*2*(sqrt(11) + -1) - -1*(-2 + (sqrt(2816) - (-1 + sqrt(2816)))**2).\nAnswer: -9*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*p - p**3 + 395*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -3 + -16 + (29 - 11)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -355476 and -0.01.\nAnswer: 3554.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2240567433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 456*o**2 - 523*o**2 + 2852*o**2 + (2*o + o - 2*o)*(-o - 3*o + 2*o) - 4*o**2 + 4*o**2 - 2*o**2 as l*o + n*o**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -3. Let r = v + -4. Let w = r + -3. Which is the nearest to w? (a) -2 (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 5*p + 2*p + 1248, -1248 = -4*y + 2*p. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(-1))\/c)\/c*((c**(-9)*c)\/c*c)\/c)\/((c*c**(4\/9)\/c*c*c)\/c*(c\/((c\/(((c**(-9\/5)*c*c*c)\/c)\/c*c)*c)\/c))\/c) assuming c is positive.\nAnswer: c**(-479\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5*10\/6)\/(28\/420).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -58*g - 6. Let o be 16\/(-8) - g - -15. Solve 0 = -14*k + 18*k + o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -55, -2 in descending order.\nAnswer: -2, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zupazazapfazfha. Give prob of picking 1 p, 2 f, and 1 a.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -19. Suppose -12*u + 14*u - z = 0. Solve 0*h = u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + (1 - 7) + -5 + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l**2. Let r(w) be the third derivative of w**6\/360 - w**3\/3 - 4*w**2. Let t(i) be the first derivative of r(i). Give t(p(v)).\nAnswer: 49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 36*t - 72.\nAnswer: -4*(t - 6)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 0*p + 36. Let x be p\/((42\/16)\/7). Let r = x + 43. Calculate the remainder when 55 is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 4 + 4)*(2 + 0 - 1)*(-i - 2*i - 5*i) to the form c*i + v*i**2 + p and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 - 1310*v**2\/7 + 144948*v\/7.\nAnswer: 2*v*(v - 514)*(v - 141)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 + -192.961. Let s = 10.961 + r. Which is bigger: s or -2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 - 4*b. Let d(j) = -j**2 - 3*j - 4. Let h be d(-3). Suppose k - 5*r = 8 - 5, 0 = -r - 2. Let t(c) = -9*c**2 + 7*c. Calculate h*t(z) + k*a(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-200)\/(-60))*(415\/55 + -7).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 20 = 0, 3*t - 51 = k - 62 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -36*r. Let p(o) = o. Determine 5*b(g) + 160*p(g).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 2*p**2 - 6*p + 14. Let j be y(-4). Let o(d) = 4*d**2 + 7*d - 7. Let s(k) = -2*k**2 - 4*k + 4. Determine j*o(m) + 11*s(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8246 - -12798. Calculate the highest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 - 7*i**2\/2 - 4*i + 1. Let s(u) = 6*u**3 + 2*u**2 - u. Let c be s(1). Let b be (c\/((-105)\/18))\/((-2)\/10). Give x(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49826, 49835, 49842, 49847, 49850, 49851, 49850?\n\"Answer: -h**2 + 12*h + 49815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143123 + -103134?\nAnswer: 34434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56105 - -3?\nAnswer: -56102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 81318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -21. Let c(o) = o**2 + o - 8. Let z be c(8). Let i = z - 39. What is the remainder when i is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h - 1. Let s be l(1). Suppose -3*u + 3 = -3*i, s*i = i + 3*u. Let n(d) = -3*d**3 + 3*d**i - d + 1 + d**2 + 9*d**3. Give n(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 141022?\nAnswer: -141022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2798*h**2 + 128*h + 352. Is 24 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6879106 (base 10) to base 8.\nAnswer: 32173602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107.5242 - 0.2242. Round o to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m + 435. What is h(28)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -0.1. Let a = 1373 + -1371. What is the nearest to d in 11\/3, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.632 to 1 dp.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**2 + 115*h - 43. Let d be s(-39). Let g be 3 - d\/25 - 4\/(-10). Factor 1\/3*r**3 + 1\/6*r**g + 1\/6*r**4 + 0 + 0*r.\nAnswer: r**2*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus 0.0614?\nAnswer: -0.0714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 10:21 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17456 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 899232 a multiple of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(8\/8*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240208 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 21*t**2 + 19. Let q be p(-21). Suppose -9*w = -8*w - 19. Are w and q unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 43*b**2 + 46*b - 140. Let l be o(42). Calculate the highest common factor of 42 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + i**2 - i + 8*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q + 163 = -71 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.98 and 0.07.\nAnswer: 0.0686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0.5, -5 in decreasing order.\nAnswer: 3, 0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/9 + 10*k**4\/3 + 140*k**3\/9 + 220*k**2\/9 + 50*k\/3 + 38\/9 = 0. What is k?\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/27 (b) 11 (c) -2 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2 + 3 - z**2 + 4*z + 0. Let o = -15883 - -15886. What is t(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsz when three letters picked without replacement from zjsnb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 70. Let p(j) = t*j**2 - 27*j - 4*j**2 - 25 + j**2. What are the prime factors of p(-12)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*x - 38, -x - 2 = o + 2*x. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 33, 27, 19, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 3\/13, -7541 in ascending order.\nAnswer: -7541, 3\/13, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -3.\nAnswer: 215\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*p - 26 - 15, -4*p + 47 = 3*u. What is the smallest common multiple of 3 + p - 8\/(-2) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16432*l**2. Let i(d) = -1566*d**2. Calculate -52*i(h) - 5*k(h).\nAnswer: -728*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 22 + 3. Let a(q) = 7*q**3 + 18*q - 4. Let l be a(6). Suppose -p*m + l = -1979. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445372349 to the power of 1\/2, to the nearest integer?\nAnswer: 21104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 675069 divided by 5?\nAnswer: 675069\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 times 0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -35*g - 5954. Determine p(-110).\nAnswer: -2104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1918, 1873, 1828, 1783, 1738, 1693?\nAnswer: 1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 335797 and 50463.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -4 (b) -18 (c) 2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-146 + 6 - -2*1) + -2. Let n = k - -146. Sort -4, n, -5 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Suppose w + 0*k + k = 17, 3*w = -c*k + 61. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 482 + -487. Sort 0.5, -12, c in increasing order.\nAnswer: -12, c, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6724.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1045)\/(-88))\/19 - (-6)\/16. Sort q, 4, 0 in ascending order.\nAnswer: 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - 13?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3df (base 16) to base 9.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5455793 and 1397?\nAnswer: 60013723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 = 4*m + 1, -2*o - 16 = 3*m. Let d = o - -12. Solve 3*j = d*j - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.21465 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 68*l - 61*l. Let w be 4 - -35 - (-2 - -3). Suppose 22 + w = 2*q. Calculate the highest common divisor of q and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 199*o + 101*o + 99*o)*(-16*o + 2*o**2 + 16*o).\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-180)*4)\/(1 - 6\/3). Which is the fifth smallest value? (a) j (b) -2\/17 (c) -0.1 (d) -3\/8 (e) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -101422.\nAnswer: -21\/50711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 706440?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1, 24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49489 + ((-9)\/(-7) - (459\/63 + -7)).\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 5*x + 0*x + 21*x - 25*x - 16*x + (-1 + 6 - 3)*(-x + 4*x - x).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192093723.\nAnswer: 3, 23, 127, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 7 = 2*b - 0, -23*c - 5 = -5*b - 13*c - 15*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/4)\/((-7)\/(-140)). Suppose -3*q = -o + 204. Round q to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -46. What is the second smallest value in 2\/11, -0.4, o, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 4 - 4 + (1 - 1 + 1)*(2 - 2 + 2*y) + 4*y + y - 3*y)*((y - 5*y + 5*y)*(3 - 3 - y**3) - 29*y**4 + 745*y - 745*y).\nAnswer: -180*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -3004\nAnswer: -901.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(68) - sqrt(68))\/(2*sqrt(144)) + ((sqrt(272) + -1 + -1)*-5)**2*6.\nAnswer: -14399*sqrt(17)\/6 + 41400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -236*c**2. Let h(j) = -45*j**2. Give t(h(i)).\nAnswer: -477900*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3 - 50*s**2 - 744*s - 1728 = 0. Calculate s.\nAnswer: -8, -3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747 (base 16) in base 11?\nAnswer: -4528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295870.\nAnswer: 2, 5, 29587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 89 + 19. Suppose 0 = -3*u - 3*q - 60, -3*u + 0*q = -3*q + 42. Let j be (4\/k)\/(u\/(-238)). Solve -w + 2*m = 4, -j*m = 2*w - 6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399296*c - 100632*c**2 - 399296*c + 245172*c**2.\nAnswer: 144540*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b = -12. Suppose -p - p - b*k + 12 = 0, 3*k = 12. Suppose w + h + 3 + p = 0, 3*h = 2*w - 19. Solve -c = c - w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2495742 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 41 + 55 = 0. What is the greatest common divisor of w and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-222)\/37*(-1)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224481965131177\/44760 - -5015236040. Let b = 5\/1119 - w. Calculate the common denominator of -137\/12 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (-123)\/6)\/(((-154)\/11)\/3752)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 3*s + 0*s. Let f(k) be the third derivative of k**5\/6 + 2*k**2 - 2149*k. Give f(w(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbwiwinnbbiiis. Give prob of picking 1 w, 1 s, and 1 b.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 84 + 532 = 35*a. Solve 2 = -y + 1, -4*f - 4*y + a = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.11, 4\/9, -0.3, -4, 2\/19, -1495?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -21*s + 301. What is g(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/4 and -103\/21756?\nAnswer: 21756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1090428919?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 8*o = -282. Suppose 2*n - 173 = 5*w, w = -5*n + 567 - o. Suppose -99*p + 20 = -n*p. Solve 4*m + 19 = -g, -4*g = 4*m + 20 - p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*m + 2*a, -m + 3 + 3 = 5*a. Let z be 99\/21 + m\/21. Find the second derivative of -2*s**5 - 11*s**z - 6*s - 21*s wrt s.\nAnswer: -260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/5607*63)\/(-2*10\/(-12)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 101.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1224, -3001, -5784, -9573, -14368, -20169, -26976?\n\"Answer: -503*t**2 - 268*t - 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 15. Let o = -1917 - -1857. What is the hundreds digit of (j\/10)\/(o\/14200)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**2 + 2*u - 1. Let x(z) = 72*z**3 - 24*z**2 + 6*z - 3. Give 3*w(h) - x(h).\nAnswer: -72*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/180 - 29*(-2)\/18. Let g(b) = -b**2 + 3*b. Give g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 1. Suppose -6*p = -13*p + 28. Let d(b) = 8*b**3 + 4. Determine p*v(l) - d(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96695471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 n when two letters picked without replacement from {r: 1, n: 1, v: 4, t: 1, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and -2?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1372 divide 28440614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -14 + (7 + 340 - 15) is divided by 109.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 419196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + -9 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5856*n. Let y(p) = 2*p. Calculate y(o(t)).\nAnswer: -11712*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 6*x**2 + 3*x**2)*(-6 + 2 + 3)*((-1 + 1 + 2)*(2*x - 4*x + 4*x) - 2*x + 2*x + 2*x + 1 - 1 + x + x + x + x + (0 - 5 + 4)*(-x + x - x)).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 6}. What is prob of sequence xx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682891 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2349? (a) 2 (b) 0 (c) 1\/8 (d) 1\/6 (e) -304\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 - 3*x**2)*(93 - 93 + 37*x)*(0 + 2 + 7)*(3*x + x - 2*x).\nAnswer: -1332*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 71, 163, 291, 455, 655, 891?\n\"Answer: 18*d**2 + 2*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b99 - 1b4?\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*q = -46, n + 0*n - 7 = -q. Calculate the lowest common multiple of (n\/(-7))\/(-5 + (-198)\/(-42)) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5612, 23046, 52104, 92786, 145092?\n\"Answer: 5812*n**2 - 2*n - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-1 - -3) + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-290 + 298)\/(-43 - -5).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a - 16*a - 19*a + a**3 - 4*a + 10*a.\nAnswer: a**3 - 48*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 8) in base 14?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -27\/4 (b) 1\/4 (c) -18 (d) 2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/404 and -58\/7.\nAnswer: 2828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-24)*(-160)\/180*(-1218)\/28?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.219 centimeters in kilometers?\nAnswer: 0.00332219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + (-7 - -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2542*s - 555. Is q(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/(x\/(x\/(x*x**(-32)))))\/((x**(2\/31)*x)\/(x*x\/x**(-3))) assuming x is positive.\nAnswer: x**(866\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 336 * -0.5.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4656\/4860 + (-112)\/40?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1469 - 1462.007. Let y = 7 - o. What is y rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 754*r**3*t**2 + 25*r**3*t + t wrt t.\nAnswer: 1508*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + 6\/5*((-20)\/(-12) - 5). Put -1\/247, m, 1 in descending order.\nAnswer: m, 1, -1\/247","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74071, -73894, -73717, -73540?\n\"Answer: 177*v - 74248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3850, 3852, 3854, 3856, 3858, 3860?\nAnswer: 3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176458?\nAnswer: 2, 83, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 5. Let p be i(-12). Let o = p - -1. Let n = o - -13. Solve b = 6*w - 3*w - n, 4*b + 11 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -394 - -393.6. Suppose -l + 6 = 2*n - 0, -3*l + 8 = 4*n. Which is the smallest value? (a) d (b) l (c) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j + 2. Let m(u) = -2*u**3 - 60*u**2 + 1010*u + 104. Calculate the least common multiple of m(-42) and c(-6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-15)*71\/(-2). Let y = i + -46. Which is smaller: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 3*o**2 - 4*o**2)*(-2243 + 4283 - 2148).\nAnswer: 216*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 5*l**2 - 3*l + 1. Let h be 4 + 3 + -2 - 1. What is the lowest common multiple of 4\/(-16) - (-13)\/4 and p(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065976862 rounded to 6 dps?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*a + 5*m - 10, -m = -5*a + 24. Let d be (8\/(-6))\/((-18)\/999). Suppose 226 + d = a*v. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3925674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1169.77 + -1163. Let i = 0.77 - g. Which is the second biggest value? (a) -0.5 (b) 1\/2 (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, a: 2, q: 4}. What is prob of sequence mqmm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 1a34?\nAnswer: -1a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1336 - 2*x - 3968 + 4*x.\nAnswer: 2*x - 5304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.09217 times 96\nAnswer: 8.84832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -41, -45?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13417937*-0.1\nAnswer: 1341793.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcepeeesepea. Give prob of picking 1 c and 1 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924, -935, -946?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2278 and 938?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1452 + -298.1548. Let a = -135.7 - k. What is a rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 7*q**2 + 9*q - 4. Let b be z(8). Suppose b*r = -4*m + 4 - 0, -3*m + 4*r - 4 = 0. Suppose m = -x + 2*x - 4. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*g - 5*g - 8, -s = -5*g + 15. Let l(a) = a**2 + 7*a - 6. Give l(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11573844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 104.7657\nAnswer: -20.95314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -152 - 77\/3*g**3 - 1\/2*g**2 + g. What is the second derivative of a(i) wrt i?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + z + 2 + (-2*z - z + 4*z)*(-3 + 6 - 1) + (-11*z + 3*z + 3*z)*(1 + 3 - 5) + 7*z - 3 + 3)*(-6 + 7 + 5)*(-3 + 3 + 4) to the form d*z + n and give d.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 4*o - 3. Let t be x(4). Suppose -4*p + 6 = -k, -k - 5*p + t = 4*k. Factor k*u**3 + u**5 + u - u**4 - 3*u**4 + 0*u**5 - 4*u**2 + 0*u**2.\nAnswer: u*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -57. Let b be v - (2\/(-4) + (-6)\/4). Solve -12 = b*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.3 + -28.6. Which is the fourth biggest value? (a) -7 (b) 0.1 (c) o (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 12. Let o be l(-7). Suppose 74 = 3*w + 2*b - 6*b, o*w = -b + 131. What is the remainder when w is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -4.4. Let z = -1.3 + 0.3. Let t = z + l. Sort t, -4, -2 in ascending order.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225957910 by 302.\nAnswer: 748205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2151 - -525. Suppose -q = 5*q - s. List the prime factors of q.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5809 divided by -60?\nAnswer: 5809\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**5*f*f*f\/(f*f*f**5))\/(f\/f**(-4))**(-22) assuming f is positive.\nAnswer: f**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**2 + 10*l - 4710. Let j(i) = i + 9. What is -7*j(n) + 6*p(n)?\nAnswer: 5*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 2. Suppose w - 2*w = 0. Give g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 + -299 + 0 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + (3*sqrt(425)*5)**2 + sqrt(425).\nAnswer: 10*sqrt(17) + 95625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - ((-5*sqrt(117))\/sqrt(9))**2 - sqrt(39)\/(sqrt(6)\/sqrt(2)).\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(130)*-2*-3)\/(1*sqrt(160)) - ((sqrt(1573) + -1)*-3 + 4)**2).\nAnswer: -2781*sqrt(13)\/2 + 42618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16498632?\nAnswer: 2, 3, 687443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 199, 780, 1741, 3082, 4803?\n\"Answer: 190*f**2 + 11*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10390874 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 2*d**2 + 7*d - 4. Determine x(-6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 6*u**3 + 2*u**3 + 3*u**3 + 1 + 3*u**3 - 1 - 2*u**3 + 4*u**3 - 4*u**3 + (-3*u + 6*u - u)*(2 - u**2 - 2).\nAnswer: -2*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*k - 35009, -2*k - 210201 = -14*k - 3*x. Is 155 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 564*f - 320 - 244. Let o(d) = 2*d - 3. Let y be o(3). Solve 0 = -y*u + f + 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419576373?\nAnswer: 3, 19, 23, 106681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d**3 - 6*d**2 - 9*d - 1. Let n(v) = -v**3 + v - 1. Let q(z) = -3*n(z) - u(z). Let k be q(7). Sort k, 4, 1 in descending order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1173 - -153?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 475791 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 8 - 41*r.\nAnswer: -41*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 408*q + 1217. Calculate l(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 3*q + 5. Let v be 20*(-4270)\/(-7784) - 11. Is q less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5\/2*j + 5\/4*j**4 + 5\/2*j**3 - 5\/4*j**2 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1552 + 1538 - (-5 + 1 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 230752*x + 19585020.\nAnswer: 4*(x - 57603)*(x - 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6427, 26327, 59699, 106543, 166859?\nAnswer: 240647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p**2 + 6*p**2 + 3*p - 3*p**2 - 7*p. Let v(t) = -t**2. Let b(u) = -q(u) - 10*v(u). Find the second derivative of b(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-9))\/((-2)\/36). Let m be 18\/8*(-8)\/d. Which is the second biggest value? (a) m (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39476 - -174942. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let w = -21 + 24. Let s be 2\/(-7) + (-16)\/(-7). Sort s, i, w in decreasing order.\nAnswer: w, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1320 - -1233. Is r greater than -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 92 = 2*g. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -10, -15, -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (23 - 5) + -3 + (11 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5083 - -5081. Which is the closest to -2\/5? (a) 0.5 (b) -1\/2 (c) 0.4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-840)\/(-15)))\/(40\/(-952)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354421391 to the power of 1\/2, to the nearest integer?\nAnswer: 18826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from dmmmummdmumuuggm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**3\/4 + 141597*s**2\/2 + 716071200*s + 204585992.\nAnswer: (s + 20228)**2*(7*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 14) to base 6.\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8615*d**2*j - 2*d*j + 221*d + 2*j wrt d.\nAnswer: -17230*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39924175 and 2474.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - a - 85 = -2*g, a + 165 = 4*g. Let q = 73 - g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (0 + sqrt(405) - sqrt(405)) + 4)**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 3:18 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 1266543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -303*t - 15456. Let v be i(-51). Let g = 13.2 - 15. Let z = 11.8 + g. Which is the closest to -1? (a) v (b) 1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 16*w + 4.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841561 is divided by 184156.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2 = 4*r, -5*r + 19*d - 23 = 8*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q + 10 = 0. Suppose -q*v = -8 - 4. Suppose u - 3*u - v = -2*j, 2*j = 4*u + 6. Sort u, -5, -2\/7 in decreasing order.\nAnswer: u, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x + 9. What is the tens digit of a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 37*s**2\/2 + 5*s - 8. Let d be t(3). Let b = -83 + d. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3 = 5. Suppose 10 = f*h + 2. List the prime factors of (-18)\/(h\/(-2) + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -42.24 (b) 0.3 (c) -1\/5 (d) 783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 29, 14, -17, -70, -151, -266?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + l + 155. Let x be q(-12). Let h(d) = -d - 6. Let p(g) = -3. Let s(b) = 2*h(b) - 5*p(b). Let m(i) = -i. Calculate x*s(u) + m(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.491842523 to two dps.\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 396.1*10.33\nAnswer: 4091.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-33)*(-198)\/(-72)*0. Suppose 4 = 4*r - 0*r + 4*p, -5 = -5*r + p. Solve t = 4*y - r + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522310002 (base 6) in base 7?\nAnswer: 140100215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 59 = -138 - 82 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1369*b - 1040. Let m(d) = 1379*d + 1040. Let z(k) = 5*m(k) + 6*y(k). What is the derivative of z(f) wrt f?\nAnswer: -1319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggegeggggggeg. Give prob of picking 4 g.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mggggmgmgggg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -44. Suppose -2*n + 35 = 3*w - r, -w + 134 = 3*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppe. Give prob of sequence qpp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 31753958\nAnswer: -127015832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 1\/306, 0.2, -47\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15579 + -560771\/36. What is the common denominator of g and -139\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 6*a + 2. Let s be v(-5). Let m = 5 + s. Let z(d) = -3 + 0 - m - 7*d. Let h(f) = 6*f + 4. What is 5*h(u) + 4*z(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {w: 11, n: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + l + 58. Let q be c(7). Solve -4*u + q = -0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -19*s**3 + 2*s. Let w(l) = 10*l**3 - l. Suppose 2*r = 4*r + 12. Determine r*c(h) - 11*w(h).\nAnswer: 4*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 123 + -126. Let j(h) = -h - 4. What is j(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14204*p - 3868*p**2 + 3866*p**2 + 1860*p.\nAnswer: -2*p**2 - 12344*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22294214 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -54. Let u be 4\/(-6) + 53\/3. Let q = c - u. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -107? (a) -1\/6 (b) 1 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, s: 16}. What is prob of sequence fssf?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 4*u - 1 - 3*u)*(3*u + 0*u - u) - 27*u**2 - 7*u**2 - 71*u**2.\nAnswer: -101*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from ttunun?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 24153, 48546, 73171, 98028, 123117?\n\"Answer: 116*k**2 + 24045*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 11*l - 2*l - l**2 - 56 - 4*l. Suppose 3*z + 2 = 11, 0 = 3*u + 3*z - 180. Calculate the remainder when u is divided by m(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 7 - 8 = 4*j, 0 = -5*j - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -28*m**3\/3 - 13*m**2 - 14*m. Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/5 + 3*b**4 + 13*b**3\/5 - 103*b**2 - 36*b\/5 + 364 = 0. What is b?\nAnswer: -5, -2, 2, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b - 88*b + 27 = -5*s, 0 = 5*b - 4*s + 8. Put -3, -12, 36, b, 3 in descending order.\nAnswer: 36, 3, -3, b, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32 + 3 + -1 + -2. Let z(q) = 5*q**2 + 60*q + 63. Let t be z(-11). Calculate the highest common divisor of t and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.073 + -33.927. Let k = 33.7 + w. Which is the third smallest value? (a) -4 (b) -5\/2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5184)\/12)\/12 - -22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -u - 11, 5*x + 5*u + 15 = -0*u. Put x, 1, 0 in increasing order.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12533330 and 0.5.\nAnswer: -6266665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cic when three letters picked without replacement from {c: 3, i: 1, t: 9, p: 6}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 695 + 9*m**4 - 11*m**4 - 63 + (2*m**4 - 2*m**2 + 2*m**2)*(2 + 3 - 3) to the form g + x*m**2 + v*m + w*m**4 + o*m**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 5) + -6 - -198 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 33*s + 111. Let j be i(3). Which is bigger: -13 or j?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -249622, -249595, -249568, -249541, -249514, -249487?\n\"Answer: 27*q - 249649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 5620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*k = k + 4, 5*k - 28 = 2*m. Suppose -2045 + 430 = 19*z. Put -2, z, m in decreasing order.\nAnswer: -2, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8 (b) -40320 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1151, 2319, 3481, 4637, 5787, 6931, 8069?\n\"Answer: -3*x**2 + 1177*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 25 = 4*r, -4*a - 2*r + 24 - 4 = 0. Let o(d) = 8*d + 2. Let c be o(a). Is 217 + (-74)\/c + 10\/(-65) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 151?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*k**2 - 276*k**2 + 10*k - 593*k**2 in the form n + b*k**2 + i*k and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 7. Suppose n*h - 5 = 4*h. Suppose 2*q - 14 = 2*f, -h*q = 2*f + 3*f + 5. Solve q*m - 20 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - 2*(sqrt(1100) + 1)) + (-1 + sqrt(1100))**2 + 2)*4*4.\nAnswer: -480*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.3, 3\/13, -3 in ascending order.\nAnswer: -3, 3\/13, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 3*d + 3*d - d**3 - 7*d + 0*d + 7. Let x be y(5). Suppose 0 = 4*l - x - 117. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 1 - 63*r + 131*r - 3*r**2 - 73*r. Calculate i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6215 + 14.\nAnswer: -6201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 8*s + 12. Let d be y(-3). Suppose 5*c - 11 = -d*c. Is 56 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:31 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -904*11\nAnswer: -9944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*o**5 - 26*k*o**2 + 121*k + 87575*o**4 - o**3 - 2*o**2 wrt o.\nAnswer: 60*k*o**2 + 2101800*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 q when four letters picked without replacement from eqqqhqqhqqhqqhhhqh.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 14. What is the lowest common multiple of 10 and o(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-1 + 3 - (sqrt(176) - (sqrt(176) - (sqrt(176)*2 + -4)) - sqrt(176)).\nAnswer: -8*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -1) + -993 + 1044.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31480 + (-33)\/(-6) + (-43)\/(-86). What is the highest common divisor of 364 and u?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y + 10. What is the smallest common multiple of y and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7533\/57753)\/((-12)\/46).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7507, 1, -455 in decreasing order.\nAnswer: 1, -455, -7507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:50 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*5*-4. Let s be (-2)\/(6\/q - 1). Let h - 21*h**3 + 17*h**5 + 20*h**2 + 8*h**5 - 20*h**4 - s*h + 0*h**5 = 0. Calculate h.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 2*s = 22*f - 12, 0 = -4*f + 3*s + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039128 rounded to 7 decimal places?\nAnswer: 0.0000391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 2.1, 335, -5, 3, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49180509?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206 - -226. Calculate the remainder when (-2730)\/o*(-6)\/9 + -2 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 48 + 5)*(-b + 2*b**2 + b).\nAnswer: 124*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -83, -192, -325, -482, -663, -868?\n\"Answer: -12*g**2 - 73*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -253?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3036)\/414*(-846)\/(-517).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.834 + -0.166. What is the smallest value in 0.1, n, -450?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.09 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-eight fifths of a kilometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.11, -171\/4, 4, 1\/6, 1\/3, 0, 0.09?\nAnswer: -171\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94 and -3.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -267712390 by 110.\nAnswer: -2433749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 341.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212)*-1*-1)\/(sqrt(40)\/(4*sqrt(160))).\nAnswer: 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 9*s**2 + 10*s - 2. What is d(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 13 + 5 = -2*q, -5*b - 14 = 4*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3459?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q*(q\/(q*q**1*q)*q)\/q))\/q*q*q)*q\/(q*q**3)*q)\/(q*q**4*q*q*q)**(15\/11))**(-2\/11) assuming q is positive.\nAnswer: q**(328\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2 + 22. Let a = z - 6. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7470859 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147853 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**4\/4 - 16*m**3\/3 - 15*m**2 - 28*m - 197. Determine k(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483986.5 hours to seconds.\nAnswer: 1742351400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 254*u**2 + u + 8. Suppose 24*n - 28*n = -8. Suppose 0 = -z - 5*q + n, 4 = z + 4*q + 3. Is r(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**3 - 3*k + 3. Let c(z) = -z**2 + 2*z - 4. Let h be c(2). Let g(b) = -7*b**3 - 4*b + 4. Determine h*t(o) + 3*g(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5306 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113328354 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245) + -5*(-2 + sqrt(5)))**2.\nAnswer: -380*sqrt(5) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 117866730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3327*m**3 - 4 + 22446*m**3.\nAnswer: 25773*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653114 is divided by 4920?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(156)*5)\/((sqrt(972)*-6 + sqrt(972))*-2).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**5 + s**4 + 1. Let u(a) = -2*a**5 - 5*a**4 - a**3 + 25*a - 5. Let q(b) = -10*r(b) - 2*u(b). What is the second derivative of q(f) wrt f?\nAnswer: 280*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -11. Suppose -b = 2*b - f. Suppose 3*m = -b*m + 140. Calculate the remainder when m is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 100\/(-15)*111\/(-148). Solve 6*w + y - 13 = 4*w, s*w = -5*y + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510, 514, 522, 534?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 31*k + 18 = 32*k, 0 = -5*u - 4*k + 56 - 101 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 707034 = -5*p, 5*k + 124*p = 121*p + 1178374. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8330 and 850?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 719, 870, 1011, 1136, 1239?\n\"Answer: -z**3 + z**2 + 155*z + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -186?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((11390\/(-51))\/67)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 242.4 - 242. What is the third smallest value in 4, 2, -7, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/21 (b) -1\/63 (c) -10 (d) -2\/3 (e) -1\/3 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/4 - s**2\/2 + 9*s - 4. Calculate z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1247 * 69\nAnswer: -8.6043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 9*d + 4. Let c be j(6). Let k = -10 + 19. What is the smallest common multiple of (-21)\/c*16\/6 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100100110001100111 (base 2) in base 15?\nAnswer: -d4e99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776929161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 6*t - 6. Let p be f(5). Let s(u) = -u**2 - 11*u + 4. Let h be s(p). Solve 3*d = -2*r + 5, 5 - 1 = h*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9161007 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 10*v**2 + 13*v + 5. Give j(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*w = -15, -30*w = -26*w - 12. Calculate the lowest common multiple of 707 and i.\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)\/y)**(-6)*(y**9*y)\/(y\/(y\/(y*y\/y**(1\/8)*y*y))*y)*((y\/(y\/((y*y**2)\/y)))\/y)**(-2)\/(y\/y**3*y**(6\/7)) assuming y is positive.\nAnswer: y**(351\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 176 + -172. Calculate the greatest common factor of h and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**4 + 18*g**3 - 16*g**2 - 24*g - 28. Let b(r) = r**4 - r**3 + r**2 + 1. Let s(n) = 12*b(n) + y(n). Solve s(f) = 0 for f.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 - -0.0001\nAnswer: 0.1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11971962 and 324.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*(-15)\/(-2). Suppose 5*w + 15 = 4*x, -2*x - 15 = -0*x + k*w. Factor 0 + 0*r**3 - 2\/15*r**5 + 0*r**4 + x*r + 0*r**2.\nAnswer: -2*r**5\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**3 - 10*i**2 + 7*i - 3. Suppose 0 = -6*f + 19 + 5. Let w be (f - 1) + -2 - -4. Let q(l) = 7*l**3 - 7*l**2 + 5*l - 2. Calculate w*y(k) - 7*q(k).\nAnswer: k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 456*y**2 - 1. Let v be m(-1). Suppose 4*h = 5*x - 391, 5*x = -5*h - 0*h - v. Let j = -92 - h. Solve -t - 3 = j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277223 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1184 - 52*z - 1184)*(0 - 1 - 3) + z + 0 + 0.\nAnswer: 209*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 999 from -3085.\nAnswer: -4084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(1 - 0)\/(-32 + 18 + 11). Let 0*t**2 + l - 21\/2*t**4 - 9\/2*t**5 + 0*t - 3*t**3 = 0. Calculate t.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.57 in 2\/13, 2\/19, 75, -1\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 2. Suppose -3*c = -5*d, 2*d = -4*c - 15 - 11. Let a(z) be the second derivative of z**3\/3 + 5*z**2\/2 - 188*z + 175. Give c*s(t) + 2*a(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*b + b - 20, -a - 5*b = -24. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*x = -9*x - 373 - 452. What is the closest to x in 1\/2, -0.5, -2\/19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -218 - 52. Suppose -6*b - 3381 = -z*b. What is the highest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 12:05 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4919?\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.04. Let t = n - 0.34. Let d be (78\/42 - 1)\/((-7)\/42*-12). Sort d, -1\/3, t in increasing order.\nAnswer: -1\/3, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586663 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36449, 36704, 37361, 38618, 40673?\nAnswer: 43724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let u be 0 + f + 1 + -9. Let g = u - -27. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -13\/10*u**3 + 7\/5*u - 7\/10*u**4 - 1\/10*u**5 - 1\/10*u**2 + 4\/5 = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 19. Let x = n - 24. Which is the nearest to x? (a) -0.5 (b) -2 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 12*s + 10. Calculate p(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76858600*w**2 - 75049782*w.\nAnswer: 153717200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.5 - -3.7. What is p rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o + 4*r + 450, 0 = -4*o - 5*r - 369. Let v be -1 - 12\/((-30)\/(-5)). Put v, o, 1 in decreasing order.\nAnswer: 1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*k + 3856 = -11002 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1295 and 107972179.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8d4 (base 14) to base 8\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 761542\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43195*n - 43191*n + 16 = -2*q, n + 4 = 2*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (16 - 33) - -12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7115 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4428, -4429, -4430, -4431, -4432?\n\"Answer: -w - 4427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 0 - v + 0*v + 7 - v. Let o be s(6). Which is the closest to -0.1? (a) o (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 20 (c) 32 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 65\/7, 0.2, -1\/3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/154 + 19778\/434.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 + 7*k**2 - 10*k + 10. Let r(a) = -4*a**3 + 6*a**2 - 9*a + 11. Let c(v) = -3*f(v) + 2*r(v). Suppose 2*h = 2 + 14. Does 12 divide c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 3, 11, 23, 39?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z. Let u(y) = 4*y + 1. Let j(o) = 2*n(o) - 3*u(o). Give j(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -32, 4, 12 in descending order.\nAnswer: 12, 4, 0.8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (sqrt(7) + -1)**2 + (sqrt(700)*-2*6)**2 + (-5*-1*sqrt(56))\/((-3*sqrt(48))\/sqrt(6)).\nAnswer: -11*sqrt(7)\/3 + 100809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6577, 6527, 6477, 6427?\nAnswer: 6377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26339492529 and -3?\nAnswer: 26339492532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002935999 to 7 dps.\nAnswer: -0.0002936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/3)*l**(-4\/3) assuming l is positive.\nAnswer: l**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 56*z - 173. Calculate the remainder when 802 is divided by a(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 32. Let p be z(6). Calculate the remainder when 15 is divided by (9*(-2)\/4)\/(p\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6916079.71 rounded to the nearest 100?\nAnswer: -6916100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(208)*-2*2 + sqrt(208) + (sqrt(208)*2 - sqrt(208))*2) - (sqrt(117)*-1*6)\/(sqrt(1296) - -3*sqrt(1296)).\nAnswer: -63*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4445*l**2 - 3. What are the prime factors of n(1)?\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11354 - ((-24)\/4)\/(-6). Is 22\/(-11) + f + -1 - -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -141 (b) 0.3 (c) 1\/6 (d) 2 (e) -3\/2 (f) 0.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -171.9. Put 0.34, -4, -0.4, o in decreasing order.\nAnswer: 0.34, o, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1*b)\/b)\/b)**26\/((b*b**(-1\/2)*b*b*b)\/((b**6*b)\/b)) assuming b is positive.\nAnswer: b**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 139, -9 in decreasing order.\nAnswer: 139, 0.07, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 623.234 - 624. Let o = -25 + 24.864. Let j = o - w. What is j rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*z - 113 = -665*z - 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or -534541?\nAnswer: -534541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954.44 rounded to the nearest ten?\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 59*t + 18. Determine w(-15).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 41*o**5\/2 + 32266*o**4 + 1206147*o**3\/2 - 1626814*o**2 - 5277502*o + 261240 = 0.\nAnswer: -1555, -21, -2, 2\/41, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 12:12 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**3 + 5*v**2 - 2*v - 4. Let j(o) = o**3 + o**2 - 1. Suppose 12*p - 3*p + 9 = 0. Let y(f) = p*q(f) + 5*j(f). What is y(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11505036?\nAnswer: 2, 3, 47, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -55. Suppose 0*n - 2*z - 12 = -2*n, -n - a*z - 6 = 0. Suppose -n*f = 3*c - 537, -5*f = -4*f + 4. What is the remainder when c is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -234 + 234 + 4*b as m + c*b and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**7*n\/((n*n**(2\/3)\/n*n*n)\/n)*n**(-5)*n\/n**(-3\/4))**(-3\/14) assuming n is positive.\nAnswer: n**(-61\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - x - 2. Let d be y(-1). Suppose 7*r - d*r = 2605. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/15 - 8652*r**2\/5 + 5017608*r + 3969794160.\nAnswer: 2*(r - 6810)**2*(r + 642)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s + 80. What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**5 + k**4 + k**2 - k. Let t(s) = -21*s**5 + 9*s**3 - 22*s**2 + s. Let r(u) = -22*f(u) - 2*t(u). Suppose r(n) = 0. Calculate n.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*((j**(2\/3)*j*j)\/j)\/j))*j**(1\/2)\/j*j)\/(j**(-2))**(-33))**42 assuming j is positive.\nAnswer: j**(-2681)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*k + 24, 11 = k + 3*l - 5*l. Let i = -23 + 30. Let o be (-49)\/7*(-2)\/i. Which is the closest to -1? (a) k (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*q - 77*q + 42 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -242, -538, -952, -1484, -2134, -2902?\n\"Answer: -59*x**2 - x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3\/27999991 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58343 - -88354. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 28. Let v = w - -109. Suppose 10*m - v*m**3 + 132*m**4 + 6*m**3 - 24*m**2 + 2*m - 45*m**5 = 0. Calculate m.\nAnswer: -2\/5, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) + sqrt(132)*2 - sqrt(132))*-3)\/((3*sqrt(60))\/sqrt(5)*-2).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-12)*1328\/7470?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let k = 0.02 + 0.08. Let b be 3\/(-18)*(-4)\/(-7). What is the closest to k in m, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11593 + -8080323\/697. Suppose -4*z - 20 = -4*f, 10 = 4*z + 2*f - 0*f. Which is bigger: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15134 - ((-1)\/2)\/(1\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/13)\/((380\/(-570))\/(116\/6))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30150982 and -0.103?\nAnswer: 30150981.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1036224797092.5 - 0.1.\nAnswer: -1036224797092.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:12 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73620.07 weeks to nanoseconds.\nAnswer: 44525418336000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(88)*-2 - sqrt(88))*-3)\/(sqrt(160)\/sqrt(5) - sqrt(32)\/(sqrt(16) + sqrt(4))).\nAnswer: 81*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/11)\/h**(4\/3)*h*(h*(h**(-1\/6)*h)\/h)\/h*h\/(h**(-6)\/h) assuming h is positive.\nAnswer: h**(167\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 62*h**2 - 64*h + 6. Let r be o(-32). Solve -4*c + 1 = 2*v + 13, -2*c - r = 4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 3*s + 5. Suppose 2*t - 4*t + 8 = 0. Let p be l(t). Suppose -y + p = -3*u + 14, -y - 25 = -5*u. Solve k + u = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3182 - 5935.\nAnswer: -9117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 1, y: 1, h: 3, b: 1}. Give prob of sequence hy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 5)*(-858*m - 140*m + 33*m).\nAnswer: -1930*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194296920 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {g: 7, d: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-7)\/((-14)\/8). Let f be 430\/(-12) + 4\/(-2). Let s = 38 + f. Which is the smallest value? (a) 2 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66 + -62)\/(6\/1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2543 - 0.5053. Let p = -5 - -5.085. Let r = p - o. What is r rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 539*n**3 - 539*n**3 + 100*n**4 + 65*n**4 - 372 wrt n?\nAnswer: 660*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859307563.\nAnswer: 859307563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = -19. Suppose 0 = -3*n + t*n - c - 14, 0 = 3*c + 6. Suppose -2*p + 380 = 2*q, 2*p + 2*p + n*q - 761 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.619 + -0.119. What is r rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23927719\/73555 - -2107\/1565. Let k(d) = d**3 + 13*d**2 - 21*d - 72. Let o be k(-12). Let g = x + o. Is -1 greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*h - 109*h = 109*h + 360 + 1720 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12523479, 25046970, 37570455, 50093934, 62617407, 75140874, 87664335?\nAnswer: 100187790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b + 3. Let c = 2 - 4. Let t be c\/(2\/3) - -7. Determine n(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6376004 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 66 = 2*v, -3720 = -3*d - v - 3786 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -4, 0.1, 0.51?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2803795057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 + 2.438.\nAnswer: 2.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c - 6. Let g(r) = -2. Let v(s) = -1. Let u(l) = g(l) - 3*v(l). Let n(w) = -6*u(w) - x(w). Let t(p) = p. Determine n(t(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l. Let o be r(1). Let w be (4\/(-5))\/(2\/(-5)). Let u be 4 + (w - 0) - 4. Solve o = -0*z + u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, -27, -4, 0.13, -2 in ascending order.\nAnswer: -27, -4, -2, -1\/2, 0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 2*j**2 - j + 1 - j**2 + 0*j**3. Let z be (-37)\/(-7) + 6 - 4\/14. Let x(c) = -3*c + 34. Let n be x(z). What is q(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 3*w**4\/8 - 11*w**3\/6 + 7*w**2 - w. Let x be l(2). Solve m + 3*c = -x, -m + 4*c = m - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*a - 224. Let l = a - 62. What is the hundreds digit of (l\/(-12))\/((-1)\/(-242))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/70 - (-2)\/20)*3. Put 15, -0.5, z in decreasing order.\nAnswer: 15, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - m**2 + 2*m + 1. Let b(y) = -5*y**3 - 4*y**2 + 6*y + 3. Let x(p) = -3*b(p) + 8*z(p). Suppose -3*l - 8 = -7*l. Calculate x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 223*u**2 + 10*u + 26. Is d(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = -4*d - 44, 0 = 5*d + 3*k + 51. Let n = d - -7. Find the common denominator of -13\/7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131668 (base 10) to base 8.\nAnswer: 401124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 297.0661t?\nAnswer: 297066100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -233 - 226237?\nAnswer: -226471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/48)\/((-8)\/3120*5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, b: 4, x: 7}. What is prob of picking 1 b, 2 d, and 1 x?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42580963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -2*h - 3*h - 3*g + 26 - 88, 8*h + 111 + 55 = -11*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1154, 9314, 31464, 74600, 145718, 251814, 399884?\n\"Answer: 1166*p**3 - p**2 + p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 17 - 2. Let d be (4 - 3 - -1) + 3. Suppose -r = -i - d. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235 and 95411269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -447 + 656. Let l be b\/38 + 1\/2. Solve 0 = -2*z - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37942 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (650*k**3 + 9258*k**3 + 1770*k**3)*((2*k + 0*k - 3*k)*(-4 + 0 + 2) + 2 - 2 - 3*k) to z*k**3 + p*k + s*k**4 + h*k**2 + b and give s.\nAnswer: -11678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 6*k**2 + 1. Let h be a(6). Let r(s) = -s - 11. Let m be r(-9). Let x(b) = -b + 1. Let y(j) = -2*j**3 - j + 2. Calculate h*y(w) + m*x(w).\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y - 11. Let l be (-4 - -3)\/((-2)\/6). Let s(g) = g + 6. What is l*x(d) + 5*s(d)?\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 85.29498km?\nAnswer: 8529498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150480 and 75240.\nAnswer: 150480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 3, d: 3, q: 3, r: 2, u: 3}. What is prob of sequence udan?\nAnswer: 27\/19040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4375 and 6250.\nAnswer: 43750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 432.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 19. Suppose 10*c = 8*c + b. Solve -c + 0 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55916 - -55915. Let y be (-4)\/10*(5 - 0). Put -8, d, y in increasing order.\nAnswer: -8, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*a**2 - 47*a**2 + 448*a**3 - 22*a**2.\nAnswer: 448*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4 + 225*a**2 + 12 + 0 - a + 6. Let k(q) = -q**2 + 3*q - 1. Let l(i) = -3*k(i) - o(i). What is the second derivative of l(f) wrt f?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -4, 0, 81.6, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16673, -16707, -16741, -16775, -16809, -16843?\n\"Answer: -34*d - 16639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2670070*f - 3458. Let b(g) = -7717*g + 10. What is 1729*b(c) + 5*n(c)?\nAnswer: 7657*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 6*d**2 - 7*d + 4. Let h be u(4). Does h = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 181*t - 34*t**3 + 10*t**2 + 9*t**2 - 17*t**2.\nAnswer: -34*t**3 + 2*t**2 + 181*t - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:05 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6*i + 5. Suppose 0 = -3*j + w - 7, 16 = j - 0*w - 4*w. Which is the closest to -1? (a) 0.1 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h - 2. Let u be f(-2). Suppose -4*d - u + 63 = -3*x, -2*d - x = -27. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5135335 + -4?\nAnswer: 5135331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67923 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1)*(-9 - -111). Let s = -77 - k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k = -61*k + 112. Calculate the remainder when k is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.3, -0.3, 5, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2 - 5598276*o = 0. What is o?\nAnswer: -5598276, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*c**2 + 3144 + 4*c + 3141 + 20*c**2 - 6277 as a + x*c**2 + z*c and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((37\/(-18))\/(-1)). Let m = -4911\/740 - l. What is the common denominator of 33\/20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 4*v - 4, -1307*v + 1305*v - 3*t = -2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.948 + -2.648. Let m = 1.5 - 1. What is the biggest value in 5, m, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let g = -1 + q. Suppose 4*r - 7*r = 0. Which is the third smallest value? (a) 1\/3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1497*l**5 - 82*l**2 - 6 wrt l.\nAnswer: 89820*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1404\/104*(-3)\/(-324).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -309869, -309868, -309867?\n\"Answer: q - 309870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 7*t - 27. Let n(m) = 2 + 5*m - 4*m**2 - t - m**2 + 2*m. Let i(s) = 14*s**2 - 20*s + 20. Let z = 22 + -28. Calculate z*i(f) - 17*n(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*n**2 + 14*n**2 + 12*n**2 + 4*n - 4*n - 2*n**2 + (0 - 2 + 3)*(0 + n**2 + 0) - 1 + 1 - 4*n**2 to x*n**2 + c*n + s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 86187028 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2233, -8390, -18519, -32620?\n\"Answer: -1986*g**2 - 199*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*i + 202*i + 428 + 3076 = -164*i for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 1\/10, -1\/10, 0.08, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(32\/5))\/n)\/(n**28\/n) assuming n is positive.\nAnswer: n**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q - 24. Let t be g(12). Let d be 8\/(-96)*(-3 + t). Let i = -3 + 4. Which is greater: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 1\/12*i**4 - 18\/7*i**7 + 0 + 39\/20*i**6 - i - 37\/60*i**5 + 0*i**3 - 55*i**2 + 9\/14*i**8. Factor h(k).\nAnswer: k*(k - 2)*(6*k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ab06 - -11?\nAnswer: -aac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 13*v**2 - 13*v. Let q(y) = -2*y**2 + 28*y - 13. Let k be q(13). Let p(o) = o**3 + 6*o**2 + 7*o. Calculate k*p(m) + 6*a(m).\nAnswer: m**3 + 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 5 = -65. Let h(u) = 10*u - 62. Let g be h(w). Find the third derivative of -70*y**6 + 142*y**6 + g*y**2 - 54*y**6 wrt y.\nAnswer: 2160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-3*(sqrt(40) - sqrt(160)))\/((sqrt(88) + (2*sqrt(88) + sqrt(88) - sqrt(88)))\/sqrt(11) - (sqrt(648) + (sqrt(648) - (2*sqrt(648) + sqrt(648))))))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*n**3*t**2 + 16*n**3*t - 658*t**2 + t wrt n.\nAnswer: 39*n**2*t**2 + 48*n**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/((-12)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -8*l - 50*l. Let o be (1 + 8\/(-4))\/(l\/(-18)). Solve -4*c + o*b = -14, 4 = 2*b - 0*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + (24 - 31).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 574994 + -213.\nAnswer: 574781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*i + 40 = 2*i, -3*w + 30 = 2*i. Suppose -f = 4*f - w. Is 1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1992*v - 10 = 1973*v - 48 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5182044?\nAnswer: 2, 3, 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003983521551 rounded to seven decimal places?\nAnswer: -0.0003984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 - -12?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175734 divided by -39?\nAnswer: -4506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -17 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + a - a)*(2*a - 2*a + 2*a)*(-3 + 1 + 4 + 3 + 3 - 5 + (-3 + 4 + 1)*(6 - 3 - 4)).\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2575 = s - 4*y, -5*s - 3*y + 15373 = 2590. What is the remainder when s is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 168, 1 in descending order.\nAnswer: 168, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.16 + -10. Let j = 0.06 - r. What is the closest to j in -2\/9, 0.5, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4c8 + -22?\nAnswer: -4ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - (-124)\/12)*138*-1. Solve -100*b = -m*b + 56 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1036396077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaapaiamaapaiiaaaami. Give prob of picking 1 m and 1 i.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3\/2, -3.567, 3 in ascending order.\nAnswer: -3.567, -3\/2, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 46 = -14. Let w = -2774 + 2854. What is the remainder when w is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1955 + -13691\/7. Which is the closest to -1? (a) 1\/2 (b) 0.1 (c) w (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173\/4 + 43. Let o = -28 + 29. Is o at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49344, 12, -3 in decreasing order.\nAnswer: 12, -3, -49344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-45))\/((-3)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 10:41 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.82 - -12.92. Let j be (-1)\/(-3) + (-22)\/3. Which is the nearest to -0.1? (a) 2 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 3455680.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 38, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6951 and 68186?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 4) + (1 - (2 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -149355264 + 44171638. Let t = -105183448.000282 - x. Let u = 178 - t. What is u rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 14 = -b, -3*b - 5 + 14 = -2*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 6:16 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 6*v + 1817 - 1795, 4*v - 19 = 3*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.3 (b) -2.4 (c) -5 (d) -1\/7 (e) -2\/409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 9*s**3 + 11*s**2 - 2*s - 12. Let r be v(-3). Let y = -188 - r. Is y < -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4550300 and 40?\nAnswer: 9100600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12706799*d**4 - 44*d**3 + 1139764574?\nAnswer: -50827196*d**3 - 132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*q + 3247 + 499*q - 3247 - 983*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -o - 1039, -2*z + 2*o = 213 - 635. Let r(c) = 2*c**2 + 7*c + 12. Let h be r(-3). Calculate the highest common divisor of h and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -1\/5, -4, 3\/2, -4.8338?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 317*l + 160*l - 7 = -154*l, 3*w - l - 7 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t + 2448 + 929 = -369*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011 - -10110111010110001?\nAnswer: 10110111001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5 - 39*x**4\/2 - 102*x**3 + 1874*x**2 + 10176*x + 4608 = 0.\nAnswer: -6, -1\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1 - 1\/(-5). Factor 4\/5*k - 3\/5*k**2 + d*k**4 + 4\/5 - 2\/5*k**3.\nAnswer: (k - 2)**2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 2*u - 3 + u**2 - 6*u**2 + 4*u**2. Let w(l) = l**2 - 7*l + 7. Let b be w(5). Let d = b - -6. What is s(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 13 = -5*y + 15*y - 5*y, 4*p + 162 = -y + 3*y for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4920 + -4367. What are the prime factors of b?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36171582571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -502.9, -4, 52, -1 in decreasing order.\nAnswer: 52, -1, -4, -502.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 64 = 4*s, g + 10 = -0*g + 4*s. Solve -3*o + 28 = -2*d + 18, -2*d = 4*o - g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**2 + z**3 + 18*z**2 - 12*z**2 to c + w*z**3 + j*z**2 + f*z and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 5. Let q(m) = -3*m + 7. Let r(x) = 4*a(x) + 3*q(x). Let s be -1*(-3)\/6*-2. Let i(f) = -4*f + 3. Give s*i(o) + 3*r(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 5:30 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/12 - 53*a**3\/9 + 28*a**2\/3 + 36*a + 689. Factor o(u).\nAnswer: -(u - 2)*(u + 1)*(u + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 374.9 + -375. Let m = -4\/83 + -130\/747. What is the nearest to n in -3, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {b: 5, c: 3, k: 5, d: 1, j: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*d**2 - 1)*(-557*d**2 - 70*d**3 + 47*d**3 + 25*d**3).\nAnswer: 4*d**5 - 1114*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -616266622?\nAnswer: -616266615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(36) + 0 - (sqrt(605) + 5 + -2*sqrt(605) + sqrt(605) - sqrt(605))) + 3.\nAnswer: -2 + 23*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = 5. Let t = 2 - x. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17878, -47, 2 in ascending order.\nAnswer: -47, 0, 2, 17878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12405100 rounded to the nearest 100000?\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13223210 + -1?\nAnswer: 13223203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 668 = -1012. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + -58. Let d = c + 116. What is the second smallest value in d, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 1\/5 (c) -613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v + 4. Let a be f(-3). Let i(p) be the third derivative of -p**4\/12 - p**3\/6 + 6*p**2. Determine i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/11 + 200*r\/11 + 199\/11 = 0 for r.\nAnswer: -199, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 3422121*q + 3. Let p(s) = -2*s**2. Determine l(p(z)).\nAnswer: 8*z**4 - 6844242*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78106201447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 6. Let o be t(-6). Let w = -11 + 49. Let c = w - 23. What is the highest common factor of c and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*b**2 + 15*b**2 + 150*b**2.\nAnswer: -197*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 - 205 - 196 - 3*o + 602.\nAnswer: -3*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-48)*36\/20)\/((108\/(-496))\/9).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/5 - 6818*g**3\/5 - 5752374*g**2\/5 + 99357426*g\/5 - 70424856 = 0. Calculate g.\nAnswer: -1713, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + 6*2*1*sqrt(1573)*6 + 2)*2.\nAnswer: 2 + 1584*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(1 + j - 1)*(2 - 1 - 3) - 1 - 4*j + 1 in the form o*j + h and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as -4355725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 23*r - 20. Let m(g) = -8*g + 7. Suppose 10 = b - 7. What is b*m(u) + 6*i(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - z**2 - 13*z**3 + 11*z**3 - 3 - 4 to the form k*z**3 + b + q*z + w*z**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s*s**(-3))\/(s**(-2\/55)\/s**(-11)) assuming s is positive.\nAnswer: s**(-988\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfzfzfzz. Give prob of picking 3 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*l - 122*l - 2310 + 414 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 + 15*i + 4. Let t be -4 + (-4 - -5) + 2 + -9. Is f(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**4 + c**4 + 0*c**2 - 6*c**2 wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**4*r**3 + 1191*l**2*r**3 - 5*l**2 - 14*l*r**2 + 1967*l*r - 4*r**3 - 2 wrt l.\nAnswer: -36*l**2*r**3 + 2382*r**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 10:31 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * -176.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1. Let l(m) = 7*m - 5. Let n(v) = -15*v + 10. Let t(q) = 13*l(q) + 6*n(q). Suppose 4*j + 81 = -3. Let c = 22 + j. What is c*t(f) - 5*z(f)?\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -10 - (17 - 42)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + -2.19. Let l be (-32)\/(-6)*57\/76*1\/8. Let m = -0.3 + 0.2. Which is the biggest value? (a) z (b) m (c) 0.2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1\/5, 3, 5 in descending order.\nAnswer: 5, 3, 1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 21. Let p be o(-10). Is 31 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 8:34 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*m + 401*m - 203*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 + 2 = 0. Let v = 5 - i. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -121*k**2. Let z(o) be the second derivative of o**6\/360 + 9*o**3 + 19*o + 3. Let a(b) be the second derivative of z(b). Determine r(a(f)).\nAnswer: -121*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1745 - 32199 = -102*c + 115100. Is 78 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + 45. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 14. Let u be o(7). List the prime factors of 269 - (u\/1 - -2).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -681, -1022, -1363?\nAnswer: -1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1592\/3, 4\/5 in descending order.\nAnswer: 1592\/3, 4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1242403 - -2414900. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 27*j + 28 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558735187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**2 - 4*f - 1. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-14)*56\/12. Let g(r) = r + 4. Let o(z) = 2*z + 9. Let l(t) = 13*g(t) - 6*o(t). What is l(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n + 19*n - 30*n - 1 - n**2 + 0. Let z = -37 - -61. Let d(h) = 2*h - 46. Let p be d(z). Determine u(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by -4.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 174 - 184 - (6 + 124)\/(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1122)\/(-85) - 10)\/8\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 13. What is the units digit of h(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27846 or -27842?\nAnswer: -27846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*h - 1, 0*h + 4*j + 14 = -2*h. Put 5, -4, h in descending order.\nAnswer: 5, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 11*d + 2*d)*(14 - 12*d - 14)*(-856*d**2 - 14 + 17 - 3) to k*d + i*d**2 + r*d**3 + g*d**4 + f and give g.\nAnswer: 123264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(171))\/(sqrt(9) - (6*sqrt(36)\/sqrt(4) + sqrt(9) + sqrt(9))).\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**7\/21 + 17*q**6\/15 - 27*q**5\/10 - 193*q**4\/6 - 232*q**3\/3 - 84*q**2 + 9*q - 328. Factor j(a).\nAnswer: -2*(a - 14)*(a - 6)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8))**(-22)\/(((w*w**(-22))\/w)\/(w\/(w**(4\/5)*w))) assuming w is positive.\nAnswer: w**(986\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2365 - 36?\nAnswer: -2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**3 - 1857 + 3*k**2 + 1858 - 103*k**3 in the form m*k**2 + p*k**3 + h*k + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220 - -2862\/13. What is the smallest value in -4, 5, 3\/7, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01045805 to four dps.\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/3 + (-4)\/(-6). Let d = -2 - -2. Suppose d*k + 4 = 4*k. Put 2, k, s in descending order.\nAnswer: 2, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:46 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - n)*(-4 - 6*n + 6 - 3)*(-1 + 1 + 3).\nAnswer: 18*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 - -101. Suppose -5*g = -3*c + 38, -c + p*g = 6*g + 6. Let y(x) = 2*x - 9. Determine y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -16\/9, -9, -1\/3, 4, 24, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 319 - 309. Suppose 0 = -2*w + 5*n + v, 0 = 5*w + 4*n - 2 + 10. Solve -k + 6 = 5*u, w - 2 = -2*u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 319716 + -319666. Let g be 298\/6 - 6\/9. Is g not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3 + 93. Suppose 0 = 2*w - 14 - q. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 - ((-141)\/132 + 2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = -1 - 26. Is 5\/14 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/(-6)*10\/(2 - 0). Let s = 29 - t. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212354915 + 424709611 - 2*y**2 - 212354696.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -90325 > -90512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 9350016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j\/j**(-2\/5)*j)*(j*j**(-1\/15)*j)\/j assuming j is positive.\nAnswer: j**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -50. Differentiate 6*z**2 - 33*z**2 + 5 + q*z**2 + 19 with respect to z.\nAnswer: -38*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46285123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 78 = 8*h. Suppose -5*o = 2*j + h, 8 + 2 = -4*o - 2*j. Let s(m) = 2*m**2 - 4*m + 1. What is the tens digit of s(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 338130*z**2.\nAnswer: -5*z**2*(z - 67626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 6 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 9. Suppose 8*s + 11 = -13. Let y(b) = b + 7. Let l(z) = s*i(z) + 4*y(z). Let g(d) = -d**2 - d - 5. What is -g(r) - l(r)?\nAnswer: r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)\/((-6)\/87). Let g(u) = 18*u. Let h be g(-1). Let y = h - q. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1418 = 2*l + 4*x, -5*l + 3*x - 3581 = x. Let f = l - -1220. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (3 + -7))\/(-1). Let t be 10994 + a*9\/(-3). Suppose 0 = -n + t - 997. What is n rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*u + 122*u - 2576 = 0. Solve -57*m = -u*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 5*u**2 - 5*u + 3. Let v be (-8 - 0) + (2 - 1). Let s(o) = 2*o**3 + 31*o**2 + 16*o + 18. Let g be s(-15). Let b = v + g. Give c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, o: 4, m: 1, a: 4, b: 2, g: 1}. What is prob of picking 1 o, 1 g, and 1 a?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/8600 and -69\/18725?\nAnswer: 6441400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (237401\/(-2))\/(1638\/(-468)) - (-8)\/14.\nAnswer: 3, 5, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142728480 divided by 5.\nAnswer: 28545696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1. Let n(q) = -5*q. Let s(w) = 11*w + 1. Let j(z) = 7*n(z) + 3*s(z). Let b(c) = -j(c) + 3*o(c). Let p(i) = 7*i - 3*i + 0*i. What is p(b(a))?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - z - 3*z - z**4 - 1 + 0*z**3 - z**3 to the form s + p*z + m*z**4 + v*z**3 + r*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 814 + 2806 + 836 + 1029 - 1080 + 2*x**3 + 3107.\nAnswer: 2*x**3 + 7512","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -12. Let q = 120\/371 - 2\/53. Let x = -2.2 - -2. Sort q, z, x in decreasing order.\nAnswer: z, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - k - 1. Let r(a) = -17*a**2 + 6*a + 6. Let s(p) = -r(p) - 6*t(p). Let o(b) = -16*b**2. Determine s(o(w)).\nAnswer: 1280*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3096 divide 16410189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277687719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -64*b**2. Let k(o) = -2*o**2 - 2*o + 51948. What is k(j(i))?\nAnswer: -8192*i**4 + 128*i**2 + 51948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(0*n**3 + 2*n**3 - n**3) - 373*n**3 + 105*n**3 - 131*n**3 + 4*n.\nAnswer: -397*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydddndedydss. What is prob of sequence es?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5709 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -22 + -2*2. Suppose 95*s + 156 = -1744. Which is smaller: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 707, 517, 4, -111 in descending order.\nAnswer: 707, 517, 4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3 + 3)*(7*y + 22 - 22) + 2*y**2 - y**2 - 3*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-9)*9\/6. Let t = h + 11. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysy when three letters picked without replacement from syyssyyyn?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*d + 19 + 3, b = d + 10. Let r be b\/39 - (-6)\/117*933. List the prime factors of (3 - r)*(-10)\/3 - -2.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**11)\/i)\/i**(2\/41)*(i\/((i\/i**8)\/i))\/i**(16\/3))**9 assuming i is positive.\nAnswer: i**(5394\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12849 + 27470. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 0. Let y = 5 + -2. Suppose y*n = 4*u + f, -5*n + 4*u = -0*n - 18. 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 x = 105 + -69. Suppose n - 4*n = -x. Suppose -n*s - 9 = -13*s. What is the greatest common divisor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.7357 - -25.73615. Let v = n - -11. Round v to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1376 - 1397 - (0 + -49)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:27 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300 less than or equal to 55918\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2. Let n(c) = c. Let i(v) = 17*v. Let h(y) = i(y) - 2*n(y). What is b(h(w))?\nAnswer: 225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 1. Let u(w) = 8*w**2 - 3. Suppose 0 = -3*k - 0*k - 3. Determine k*u(l) + 3*s(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047559512 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1566319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + 5. Let k = -63 + u. Which is the closest to -2\/3? (a) k (b) -1\/7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6284900 and 17000?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - 5. Let v be n(3). Let m = v + 12. Let u(o) = -2*o**3 - o**2 + 3*o + 2. Let s be u(m). Solve 3*g = -g - s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + 125. Suppose 3*a = -5*q - 15, -5*a - 15 = 5*q - 0. What is the hundreds digit of z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2556*i**2 - 221 + 2*i**3 + 71 - i + 150 as f + r*i + a*i**3 + z*i**2 and give z.\nAnswer: -2556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 37380448 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4613250 (base 9) to base 4\nAnswer: -21133222311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchchhhhhhh. What is prob of sequence chhh?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.98 and -0.1.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = 44*c - 250588 - 8902. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**2*p - 16*h*p + 1390*h + 24*p - 20309 wrt h.\nAnswer: -8*h*p - 16*p + 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -8)*1 - -2. Let w(n) = -2*n - 5. Let t(x) = -3*x - 9. What is h*t(v) + 9*w(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*((b**(-3\/10)\/b)\/b)\/b)\/b)**45\/((b*b*b**(-15))\/(((b\/(b\/(b*b**29)*b))\/b)\/b)) assuming b is positive.\nAnswer: b**(-217\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 35*x - 53. Suppose 2*i + 17 = 19. Calculate the smallest common multiple of t(4) and i.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 253, 93, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 4:53 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 9, u: 2, x: 2, f: 2}. What is prob of picking 1 f and 1 w?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98) - 1*sqrt(162))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4150 - 4078. What is the closest to -2\/9 in -0.2, -1, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, 11, 71, 155, 263, 395, 551?\n\"Answer: 12*l**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4883*u - 4874*u - 744921. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 32 = 74. Let u be (-244)\/(-28) + 2\/s. Solve 3*l = -0*l + u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85045427.\nAnswer: 85045427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:20 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 5*r)*(-3*r - r + 5*r)*(-2 + 0 + 0)*(-2*r - 3 + 3) as u + b*r**2 + d*r**3 + n*r and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/589 and 12\/961.\nAnswer: 18259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 626\/(-18) - 2\/9. Let f = w - -52. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 3)*(-i + 2*i + 2*i) + (-1 - 5 - 1)*(0*i + i - 2*i) to the form y*i + d and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 3*n + 3*n)*(35*n + 1123168 + 15*n**2 - 36*n - 1122943) in the form k + p*n + i*n**2 + s*n**3 and give p.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5351*i**4 + i**2 + 51*i + 30166842 wrt i?\nAnswer: -21404*i**3 + 2*i + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6666694 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -389685 and -389675 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6292280 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -10471d?\nAnswer: -10471a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a**2 + 5*a - 12. Suppose 48*i = 53*i - 10. Let y(r) = i*r + 5*r**2 - 4*r - 54 + 24 + 35. Let z(q) = -4*o(q) - 9*y(q). Let z(x) = 0. What is x?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281138 is divided by 281017?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24869 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -1\/17 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1821 = 2*p + 799. Let k = p + 5183\/4. Let g = 665\/286 - 19\/13. What is the common denominator of g and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1265)\/(-33)*10092\/(-2668)\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3 + 8*q**2 + 7*q = 0. What is q?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2. Let q(y) = 23073*y**2. Give w(q(d)).\nAnswer: -1597089987*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00070071909 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -34\/53, -8, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3471 and 8896707.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 23517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -2) + (-611 - -611)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98553403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43121 + 3?\nAnswer: 43124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000150210667 to seven decimal places.\nAnswer: 0.0001502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-289)\/(-68))\/(-17))\/(7\/(-12)*-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35\/142 - 1\/284. What is the closest to a in 2\/3, 4, 0.077?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/13)\/j)**24 assuming j is positive.\nAnswer: j**(-48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189*d**4 - 5*d**3*i + 2*d*i + 4904*d wrt d?\nAnswer: -2268*d**2 - 30*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-42 + (2 - -25)) - 79?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 9*s - 135. Suppose 2*q - 11*q = s. Which is the closest to q? (a) 0.2 (b) 2\/7 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 8*o + 188. Let f = 65 - o. Let n be ((-60)\/f)\/(8\/(-12)). Solve 0 + 5 = n*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6877924.\nAnswer: 2, 19, 90499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 0.046787748\nAnswer: 0.327514236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzzvmmvmvvm. Give prob of sequence zzz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u**2 - 1. Let v be w(-1). Let l(p) = 0*p - p - v*p. Let r(d) = 7*d + 5. Let z(s) = -8*s - 6. Let f(j) = 6*r(j) + 5*z(j). Give l(f(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1057*x**2 - 5*x - 10. What are the prime factors of m(-2)?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -34. Which is the nearest to k? (a) -1 (b) -1\/6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) 4 (c) 153 (d) 0.5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4027478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 0*x + 1\/30*x**4 + 0*x**5 + 1\/525*x**7 + 0 - 1\/15*x**3 - 1\/150*x**6 - 9*x**2. Factor l(o).\nAnswer: 2*(o - 1)**3*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a meter in centimeters?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*f + 9*f + 4*f**2 + 4*f - 5*f**3 in the form y*f**2 + u*f + n + r*f**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 6*q + 7. Let m(j) = 1. Let f(w) = -2*m(w) + o(w). Suppose -185*v + 5 = -186*v. Calculate f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 - 180. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/120 - n**5\/60 + n**4\/24 + n**3\/2 + 3*n**2 - 4. Let r be 0\/((1 - 3) + 0). Calculate z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*u - 17*u + 0*u)*(-u**2 - 3*u**2 + 2 + 2*u**2) as o + i*u**3 + f*u**2 + v*u and give i.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4)*b*b**10)\/(b\/b**(-1\/4)*b*((b*b\/(b\/(b*b**(9\/2)))*b)\/b)\/b))**41 assuming b is positive.\nAnswer: b**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p - 6. Let f(t) = -7*t**2 + 6*t + 46. Give f(k) - 3*m(k).\nAnswer: -4*k**2 + 3*k + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*f + f = -32, -2*b - 3*f - 57 = 0. Let g be 23\/3*(b + 33). What is the highest common divisor of g and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 39*a**2 + 2*a + 2. Let n be y(-1). Suppose 0 = 4*d - 3*d - 26. Calculate the highest common factor of n and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49467264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 = -5. Is 14*((-20)\/(-7) + h) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + w = 4*z + 271, 0 = -5*z + 5*w + 295. Let p(u) = -125*u. Let o(x) = 9*x. Calculate z*o(i) + 4*p(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 8:31 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) 0.2 (d) 7 (e) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 6. Let w be b(6). Suppose w = 2*j - 6*j - 52. Let p(q) = -2*q - 20. Calculate the remainder when 21 is divided by p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.07, -1, -1\/16 in decreasing order.\nAnswer: 0.07, 0, -1\/16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + h - 18 = 0, g - h + 19 = 2*h. Let w = g + 9. Suppose -7 = z - w. Let q(f) = -f**3 - 6*f**2 - 5*f - 1. Calculate q(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 23676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1161165939 and -0.2.\nAnswer: 1161165938.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**8\/112 + q**7\/70 - 3*q**6\/40 - q**5\/4 - q**4\/4 - 5*q**2\/2 - 10*q. Let f(p) be the first derivative of b(p). Factor f(h).\nAnswer: 3*h*(h - 2)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1.9.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f + 54*f - 5 = -2*i, 0 = 3*f + 2*i - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 12 = -3*r + 5*j, -3*j = 3*r - 18. Suppose 3*f - 72 = r*f. Let l = 93 - f. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -17*x**6\/3 + 67*x**5\/5 - 4*x**3 + 73*x**2 + 1035. What is the third derivative of k(p) wrt p?\nAnswer: -2040*p**2 + 1608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, e: 5, y: 2}. Give prob of picking 1 v and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012318567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 3) to base 7\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 5*o - 2. Let j be n(-6). Let z = j + -2. Suppose m - z = -m. Which is smaller: m or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 678036 divided by -3\nAnswer: -226012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i + 9. Let a be s(-7). Let k = 15 + a. Let w = -38 + k. What is the greatest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -614, 6980, 27616, 67816, 134102, 232996, 371020?\nAnswer: 554696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1313, 1242, 1173, 1106, 1041, 978, 917?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 34. Which is smaller: f or 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*r - 296 = 6*n, 5*r - 161 = -n. Which is smaller: 152 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20374 - 56679 - 17951 = 5278*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021118291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1812 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/25)*s)\/((s\/(s**(-4\/7)\/s)*s)\/s*s)*(s\/(s*s**(-4)\/s))\/(s**37\/s) assuming s is positive.\nAnswer: s**(-5861\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -28*f + 26*f + 3, 3*f - 17 = -c. Solve a + 24 = c*a - m, -36 = -4*a + 4*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 - 372958*p\/3 + 372964.\nAnswer: -2*(p - 3)*(p + 186482)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 1, r: 10, i: 2}. What is prob of sequence rpc?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 14. Let h be i(14). Sort 3, h, -4 in descending order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11683 * -5.\nAnswer: 58415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*z - 151, -3*c + z + 86 = -c. Let x = 59 - c. Let m(g) = -g**2 + 15*g + 11. Let s be m(x). Calculate the highest common divisor of 200 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*x + 40 = -154*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009838 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -15) + -4 + 15 - (-2 - -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3 - 80628*k**2 - 322538*k - 241908 = 0.\nAnswer: -3, -1, 40318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*t + 3114344 = -156*t + 1113464. What is t rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 506, -2, 84 in ascending order.\nAnswer: -2, 84, 112, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 21*n**2 - 5*n + 54. Let f be w(21). Let d = 46 + f. Let p be -13 + 13 - d*2. Solve 2*g + p = -3*h, -2*g + 0*g = -5*h - 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 31543 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 17 = -28. Let t = l + 1. Suppose -4*b + 5*g + t = -6, 0 = 2*b + g - 8. Solve 5*q - 4*q + 3 = -j, -2*j + 12 = -b*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*s - 5. Suppose 143 = 2*n - 0*b + 5*b, 4*b + 157 = s*n. What are the prime factors of n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, -62, 0 in decreasing order.\nAnswer: 5, 1, 0, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, a: 1, l: 6, k: 5}. Give prob of picking 1 a, 1 k, and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 1) + -2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -298.338 - 33027.\nAnswer: -33325.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 7*i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 = -5*h, -2*h + 4 + 8 = 4*c. Suppose s + 40 = 6*s. Solve 0 = -2*f - 3*y + 4, -4*y = -h*f + s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l - 6. Let b(q) = -64*q - 56. Let d(g) = -3*b(g) + 28*i(g). Suppose -24 - 4 = 7*r. Let t be (8\/r)\/(2 - 3). What is d(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.013 times 0.12\nAnswer: -0.12156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 6*y - y**2 + 9*y + y**2 + 2*y**2. Let n(t) = -4*t. What is a(n(d))?\nAnswer: 32*d**2 - 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 1023332022?\nAnswer: -1023332010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**4\/4 - 5*d**3\/3 + 5*d**2\/2 - 7*d + 2. Is f(5) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19870 is divided by 183.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((300\/(-8))\/(-1))\/(98\/245*(-15)\/12).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 3. Suppose -218 = -j*z + 166. Suppose 3*f - z = 3*p, -f = f + 3*p - 103. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10448, -10444, -10440, -10436, -10432?\nAnswer: -10428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3333\/6*(-2)\/(-1). Calculate the smallest common multiple of (2\/(-3) - 0) + s\/33 and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 1, -3, -50 in increasing order.\nAnswer: -50, -3, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -11)*(-699)\/(-6). Suppose 2*v = 4*k - 5586, -29*k + 30*k - 5*v - 1383 = 0. Let s(m) = l - k - m. Calculate s(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let i = 30 + -31. What is the nearest to -1 in -0.3, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 74*h**2 + 5*h + 61. Let n = 93 + -97. What is the hundreds digit of t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - 2080*s**2 + 2 + 0 - s**4 + 2081*s**2 to f + m*s**2 + g*s + k*s**3 + r*s**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(1*(-7 + 6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.93022 + 0.06978. Let l = -0.039 - -8.039. Sort j, l, -3 in decreasing order.\nAnswer: l, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16625 and 250?\nAnswer: 33250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*b - 3 - 9, 5*b = 3*y - 8. Let u(w) = -2*w. Let z(s) = -8*s - 9. Let a(j) = j + 1. Let x(l) = 18*a(l) + 2*z(l). Determine y*x(d) - 5*u(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 15 = -7*d + 6*q, -5*q = 4*d - 6*q + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 2*t**2 - 23*t - 15. Let i(k) = -16*k**3 + 11*k**2 + 116*k + 84. Give 11*d(z) + 2*i(z).\nAnswer: z**3 - 21*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 1 - 3 + 87*d**3.\nAnswer: 86*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 2*c - 75 + 38 - 65 = 0, -o - 3*c + 16 = 0 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from uwwwwwwwwuwwwwwwwwuu?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -4. Suppose -3*t - 6 = -2*o + 2*t, 5*o + 5*t + 20 = 0. Calculate the common denominator of -1\/14 and o\/k + 227\/(-14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25943 + -25921. Solve -5*s = -6*z + 18, -9 = 5*s - d*z + 19*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2. Let t(b) = -4818*b + 760*b - 4961*b. Determine t(g(w)).\nAnswer: 18038*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(14\/11)*l**22)**(-4\/5) assuming l is positive.\nAnswer: l**(-1024\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13720\/12544)\/(21\/(-12)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6597*n**3 - 308*n**2 + 3*n - 546617?\nAnswer: 39582*n - 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -520, -558, -622, -712, -828?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*m = -872, v = -4*v + 2*m + 1456. Let z = -276 + v. Solve -z = 11*u - 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/9))\/h**(2\/49)*h*h**(-2\/9)*h*h**(-2\/7) assuming h is positive.\nAnswer: h**(131\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*p = 0, -3*j - 5*p - 41 = -15. Let g be (2060\/15)\/(j\/(-3)). Let r = g - 3715\/18. What is the common denominator of r and -71\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/28 + (-44)\/(-7). Suppose -q + 40 = 3*a, 2*a - 46 + v = -4*q. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31628569 bigger than -31628561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2 - 2*p**2 + 0 - 20 to the form k*p + t*p**2 + h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-3)\/(12\/(-112)). Let w = 10 + a. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y - 4*y)*(2 - 3 - 1) - 3*y + 0*y + 4*y - 19654*y - 11289*y - 190*y - 1 - 33405*y - 1363*y.\nAnswer: -65902*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/15 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26658, -26703, -26748, -26793, -26838, -26883?\n\"Answer: -45*l - 26613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 104.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 112.2*0.12868\nAnswer: 14.437896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240\/19 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -94. Suppose 4*a - h - 20 = o, 0 = -4*a - 5*o + 125. What is the greatest common factor of 325 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -11*c**4\/8 + 130*c**3\/3 - 184*c**2. Find the first derivative of n(t) wrt t.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 25*u. Let f(z) be the second derivative of -z**4\/3 - 35*z. What is w(f(b))?\nAnswer: -100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -0.2157 (c) -38\/3 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7))\/r*r**(-27)*(r**25)**(-2\/45) assuming r is positive.\nAnswer: r**(-1789\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2863, -5\/2, -5, -4?\nAnswer: 2863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 99\/(-27) + (-6)\/18. Sort h, 2, 35 in increasing order.\nAnswer: h, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 - (-48 + (17 - -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -576*u + 570*u + 30. Solve -3 - u = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 - 40*t + 1045 = 0?\nAnswer: -19, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 18ab (base 15) to base 2\nAnswer: 1010011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u**(-3))\/(u*u*u\/(u\/u**(1\/4))*u*u*u)**(-27) assuming u is positive.\nAnswer: u**(587\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - 17e2d?\nAnswer: -17e51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -686, -2695, -6228, -11435, -18466, -27471?\n\"Answer: -25*x**3 - 612*x**2 + 2*x - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -18*u - 101. Suppose 5*s = 5*w - 55, 11*s - 5*w = 17*s + 11. Give r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -11 + 1\/(-4) + (-5)\/(-20). Is -11 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100110011 + -10110?\nAnswer: -1000101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20\/16)\/(-2 + (-18)\/(-8)). Put 9, 3, w, 2 in decreasing order.\nAnswer: 9, w, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from {v: 1, n: 2, a: 1, m: 4, t: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101032 - 54601. What are the prime factors of l?\nAnswer: 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474 * 238\nAnswer: -112812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**20\/((y*y*y*y*y*y\/(y\/y**(20\/9))*y)\/y*y))\/((y\/(y\/y**(-2\/49)))\/((y*y\/y**(-13)*y*y)\/y)) assuming y is positive.\nAnswer: y**(12268\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from jjnccnccftccnfjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 364 - 230 = 0. Does 33 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 + 46*p + 11. Let t(l) = -8*l**2 - 53*l - 12. Let z(s) = 7*f(s) + 6*t(s). Let i be (1\/(-2))\/(2\/20). Determine z(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {t: 2, i: 2, d: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 - -3)) + 1 + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-136)\/16 + -3*(-2)\/12. What is the third smallest value in -0.2, -35, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23448 is divided by 2343.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-4)\/(-12))\/(1\/3). Suppose 14 + 10 = -n*k + 4*v, -v = -3. What is the remainder when k - (-28 + -2 + 0) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16186*w**2 + 5580 with respect to w.\nAnswer: 32372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 24, 1\/7745, 0.3?\nAnswer: 1\/7745","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775*r**3 + 125535*r**2 + 649555*r + 12525 = 0 for r.\nAnswer: -5, -3\/155, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03182 - -2.\nAnswer: 1.96818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713197420.\nAnswer: 2, 5, 11, 191, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016149 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 51*1101\/(-36) + 7. Which is bigger: -1554 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:12 AM?\nAnswer: 544","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -14) + 2 + (0 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) -22900 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**4\/24 + 9*a**2. Let f(q) = -4*q + 0*q + 3*q. What is f(i(t))?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -1825 (c) -42 (d) 0.1 (e) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3486139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/(1\/(-6) - 0). Suppose -l*t = -0*t - 18. Solve 3*q + 6 + 2 = t*z, 2*q = 4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3\/12 - 183*i**2\/8 - 91*i\/2 - 88. Factor t(z).\nAnswer: -(z + 1)*(z + 182)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78415058?\nAnswer: 2, 31, 43, 67, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 2*a = -4, 3*a = -2*x + 20. Suppose -x*y = 63 + 157. Let w = y - -90. What is the greatest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d + 44 = 0, -l - 53*d + 51*d - 14 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 42*d**2 - 41*d - 339. What is r(41)?\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 13\/1 + (-7)\/(70\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrawvlwwwawuwwwvwuww. What is prob of picking 1 v, 2 w, and 1 r?\nAnswer: 44\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 10*c + 12. Let g be s(7). Let h(i) = -i**2 - 14*i + 8. Let b be h(g). Suppose 7*x + b = 508. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from fcffbbbf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 5 + 2*g.\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 5154b?\nAnswer: -51535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167 - -3?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 + 709 = -107*x - 441 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.49 and 202593094893.\nAnswer: 202593094896.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343304 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -447 - -438 - ((-3 - -2) + -1 - 19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - t)*(0 - 2 + 0) - 3*t + 4*t + 0*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + 3 + 1 + sqrt(1100) + (-1*sqrt(1100) + -1)*6))**2*-5.\nAnswer: -4950000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2875\/50*(-548)\/2055.\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -2*c**7\/21 + 4*c**6\/15 + 2*c**5\/5 - 4*c**4\/3 - 2*c**3\/3 + 4*c**2 - 4*c. What is x in f(x) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 52*t**2. Let m(a) = -11*a + 12. Let s(v) = 31*v - 34. Let u(z) = 17*m(z) + 6*s(z). Give j(u(k)).\nAnswer: 52*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12959 - 12959.02. Suppose 2*j = -2*j. What is the third smallest value in -6\/7, j, t, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31824 and 96.\nAnswer: 63648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t + 6*t + 2*t**2 + 3*t + 4*t**3.\nAnswer: 4*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4584\nAnswer: -5\/4584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.5. Let d be 8\/(-6) - (-171)\/27. Sort -3\/7, b, d in decreasing order.\nAnswer: d, b, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3954*z = -3855*z + 1485 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/14730 and 73\/3097719?\nAnswer: 30977190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2816) + (sqrt(2816) - (0 + sqrt(2816))) + sqrt(2816) + 4*(sqrt(44) + 2).\nAnswer: 8 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -4 (c) 3\/5 (d) 2\/5 (e) -258 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1117978 (base 11) to base 7\nAnswer: 22432465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 569, 852, 1133, 1412, 1689, 1964?\nAnswer: 2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -205820 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 280, 558, 836, 1114, 1392, 1670?\n\"Answer: 278*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:05 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004522313 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*f - 24, -5*m + 0 + 6 = 3*f. Let c be m\/(-15) + 462\/(-15). Let z = 204 + -202. What is the third smallest value in 2\/9, z, c, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/162 - 23\/(-18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 334862*w**2 - 25458176*w + 483760216.\nAnswer: 2*(w - 38)**2*(w + 167507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122800 and 19648.\nAnswer: 491200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -174278 divided by 186?\nAnswer: -87139\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -5 - (-3 - 1)) + 117 + -111?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/8389848 and -75\/1748?\nAnswer: 159407112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/378 and -55\/50517.\nAnswer: 707238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 126 = 64. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 17.363. Let o = -0.663 - r. What is the biggest value in 0.2, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 4. Let k(y) = 2*y**2 + 9*y - 15. Let h be k(5). Let d be (4 + h\/(-35))\/(4\/14). Give w(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -2.9. Let n = l - -2.5. Let y = -1.1 - n. What is the nearest to 0 in y, 5, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phj when three letters picked without replacement from {h: 4, d: 3, p: 4, x: 2, j: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41871 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/9)\/u)\/u**(-1\/4))\/(u**(-5)\/u**8))\/(u**(-5)*(u**(-3\/4)\/u)\/u)**(-14\/5) assuming u is positive.\nAnswer: u**(-1741\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = v + 6, -3*a + 13 = 5*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**5\/60 - 5*u**4\/24 - u**3 + 35*u**2 - u. Calculate i(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 49 and 47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 109. What are the prime factors of b?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5, m - 5*i = 3*m - 47. Calculate the remainder when m is divided by (-224)\/(-35) + 6\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 1414 + 995. What is the remainder when i is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37418*-3217\nAnswer: 1203.73706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 12:21 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + 3*sqrt(7) + sqrt(7) - (3 + 3 + sqrt(7))) + -4)**2.\nAnswer: -24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -144, -316, -546, -828, -1156?\n\"Answer: g**3 - 38*g**2 - g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1044\/(-3045)*(-15)\/(-12)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(48)\/sqrt(6)) + sqrt(11) + sqrt(88)\/sqrt(128))*5.\nAnswer: 45*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210120020212001 (base 3) to base 13.\nAnswer: -24b3581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 - 102. Suppose -5*b = c - 3*b - 23, -3*b - s = -2*c. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5697.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-three fifths of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 75324 = 50786. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37560.\nAnswer: 2, 3, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 591890 and 3510?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2*r*x**2 - 871*k**2*r*x - 4*k**2*x**4 + k**2*x**3 - 2*k*r + r*x**3 + 15*x**3 wrt x.\nAnswer: -96*k**2*x + 6*k**2 + 6*r + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 (base 8) in base 5?\nAnswer: -4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119130.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aae when three letters picked without replacement from {e: 1, a: 4, v: 3, u: 2, z: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:59 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402219 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 385379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*j**2*u**3 + 3691*j**2*u**2*y**2 + j*u**3*y - j*u*y**2 - 68*j*y**2 + j - u**3*y**2 wrt j?\nAnswer: 108*u**3 + 7382*u**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 694 and -0.3?\nAnswer: -208.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d = -25*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f - i - 8689, -3*i + 11568 = 4*f. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.2266203 to 2 decimal places.\nAnswer: 14.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-4) - 3)\/((-2)\/(-28)). Is 8 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 3 - 3)*(1 + 1 + 0) + (3*r + 3*r - 5*r)*(-169 + 87 + 80) in the form v*r + g and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 650602129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5505523157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t + 1 + 11*t - 4*t**2)*(30*t - 10*t + 7*t).\nAnswer: -108*t**3 + 27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243 and 19155?\nAnswer: 1551555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 17, -2\/7, -15, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -11)*8\/(-1). Let x = -10 + 26. What is the highest common divisor of m and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4268411 + 1043593 = -2*k. Let l = -1707967 + 1195558. Let g = l + k. Round g to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16176 and 3317091.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157625165?\nAnswer: 5, 1543, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/41)*(u**4\/u)\/u)\/(u*u**(-3))**(-28))**(1\/2) assuming u is positive.\nAnswer: u**(-2175\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 552 - 4 - 70\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b + n - 14, n - 6 = -2*b. Suppose 0 = -b*j + 17 + 35. Solve 33 - j = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7922132633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -251, -464, -611, -668, -611?\n\"Answer: 4*h**3 + 9*h**2 - 268*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -5.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*l. Let r = 15 + -14. Let k = r - l. Do k and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152 + 152 - (-4 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*((-14)\/5 + 4)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827324857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*a - 3196, 3*a + 0*a + 797 = c. Suppose -3*u = -6*u - 12. What is the tens digit of c\/44 + u\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23448, -46942, -70478, -94056, -117676, -141338, -165042?\nAnswer: -188788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945565 divided by 281.\nAnswer: -3365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -23?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 92 = -b. Let z = -2 + b. Suppose 0*l = -4*l - 16, -3*u + 61 = -4*l. What is the remainder when z is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*1)\/sqrt(3) - -5*(0 + sqrt(243))**2.\nAnswer: 2*sqrt(3) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -0.133.\nAnswer: 3.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 29971 = -29299 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 3854.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in years?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/195 + 1\/39. Which is the nearest to 1? (a) -1 (b) u (c) 6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-42)\/(-12) - (-2)\/4. Suppose -o*s + 9*s = 1765. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/1)\/2)\/((8625\/1012)\/(-125))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z. Suppose -4 - 17 = 21*v. Determine y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2331411142?\nAnswer: 2331411200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4960 and 32?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -3*l. Solve -l*d = 2*x - 6, 3*d + 3 = 4*x - 3*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/24 - 10\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-203)\/(-58)*8\/7. Let c be 1\/(-2)*(2 - 2). Solve c = 4*s - 12 - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 42. Let s(x) = 6*x + 39. Let t be s(-6). Suppose c + 2*r = y, r - 6 = t*r. Solve 0 = -5*d - c - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 19. Let c(w) = 7*w + 37. Determine -6*c(v) + 11*g(v).\nAnswer: 2*v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2079)\/1188)\/(329\/(-28012))?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 5:48 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 2 = 0. Let w = 7 - v. Let n be (5\/(-4))\/(w\/(-20)). Solve k + y + y + 3 = 0, -3*k + n*y = -13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvjjjjjvjj. Give prob of picking 3 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + 40. Let t be i(7). Let a(l) = l + 1. Let s be a(5). Suppose 0 = -12*z + 9*z + s. Calculate the highest common factor of z and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 10:18 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 34*l - 85. Let j be (-4)\/4 + 20\/2. What is the tens digit of w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1612 and 61373?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 2*o**4 + 0*o**4 + (6*o**4 - o**4 - o**4)*(-3 + 4 + 1).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26913019 to the nearest integer?\nAnswer: 5188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3653, 3652, 3651?\nAnswer: 3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 56*g - 27*g - 46 + 71*g.\nAnswer: 100*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277.874 - 0.15.\nAnswer: -278.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39180066866 and -0.3?\nAnswer: 39180066866.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 70. Let j be w(0). Let n = j + -40. Let 5*g**4 + 21*g**3 - 54*g**2 - 8*g**4 + n*g - 24 + 30*g = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - ((3 - (-8 - (-6 + -17))) + 3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1599, -3319, -5049, -6795, -8563, -10359?\n\"Answer: -b**3 + b**2 - 1716*b + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 52*m**2 + 102*m - 72. Let y be h(50). Solve 21*s - y = 7*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 51, 57, 65, 75, 87, 101?\n\"Answer: k**2 + k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {h: 1, e: 3, j: 2, r: 1, u: 2, b: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1be95 (base 16) in base 6?\nAnswer: -2241141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, t: 5, f: 2}. Give prob of picking 1 t and 2 n.\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3\/11))\/(z**(-4)*z)*z*z\/z**5*z*z*z**(-2))\/((z*(z\/(z**0\/z))\/z*z)**(-22)\/(z**(-1\/13)\/z**6)) assuming z is positive.\nAnswer: z**(8673\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300) + 3*sqrt(1300) + -4)**2.\nAnswer: -400*sqrt(13) + 32516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqjq when four letters picked without replacement from {j: 2, u: 2, q: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59910.93 seconds?\nAnswer: 16.641925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + 121*d**2 + 344*d - 870. Calculate u(-37).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-35) + ((-4)\/140)\/(17\/(-442))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 1, r: 3, w: 5, c: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 + 31 = 17*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -137356 equal to -137357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/54*2\/((-3)\/((-18)\/(-8))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292215 and 880.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. What is the third derivative of -4*z**2 - z**r - 4*z**6 + 0*z**4 + z**4 wrt z?\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21382291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046532624 rounded to 6 dps?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5200549056?\nAnswer: 2, 3, 3009577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40a32 (base 11) to base 9.\nAnswer: 101034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5113 is divided by 5083.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 557.6067 microseconds?\nAnswer: 0.00000000092196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/3 - 1288*s**3\/3 + 145637*s**2 - 14061212*s\/3 - 14499412\/3 = 0. Calculate s.\nAnswer: -1, 37, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11758 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, 5 in decreasing order.\nAnswer: 11, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6400609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*3\/(-8)*2. Suppose 5*d = 2*x + 678, -d - j*d = -x - 543. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 2*a**4 + 3*a**2 + (a**3 + 2*a**3 - 4*a**3)*(5*a - 5*a + 2*a) + 3*a**4 - 6*a**4 + 2*a**4)*(-13 + 58*a - 117*a + 70*a).\nAnswer: -11*a**5 + 13*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljjijljjij. Give prob of sequence ii.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**7\/280 - 3*a**6\/80 + a**5\/16 + 2*a**2 - 70*a. Factor n(i).\nAnswer: 3*i**2*(i - 5)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -59, -81, -99, -113, -123, -129?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -70. Let q be (-10)\/(-42) - 2\/6. Which is the third smallest value? (a) q (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 2. Let l = b - -28. Let w be 1\/(-4) - 78\/l. Which is smaller: -11 or w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 20. Suppose v - 1 = 0, -g*u + 5*u + 2 = -4*v. Let h(l) = l**2 + 5*l + 7. What are the prime factors of h(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 3438266?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26100 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47076013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let y(b) = 2*b**2 - 879364*b. Give f(y(n)).\nAnswer: -4*n**2 + 1758728*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 14*i - 30*i + 12*i.\nAnswer: -32*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*q + 180, 0 = 4*g + 2*q + 3*q - 144. Let n = g + 11. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.1 - -7.1281. Put c, -1, 3 in ascending order.\nAnswer: -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9598057 a multiple of 618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191194063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6664731713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 158330*k + 158330*k - 1152*k**2 - 1 to the form y + u*k**2 + b*k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-4)*(-60)\/(-45))\/(-4))\/(12\/(-9)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 2*p**6\/15 - 1147*p**4\/12 + 50*p**2 + p + 3464. What is the derivative of s(q) wrt q?\nAnswer: 16*q**3 - 2294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 944 - 674. Let d = p + -269.999753. Round d to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 - 2*n**2 - n. Let r be ((4 - 0) + -2 + -3)*-4. Let h(b) = -b**2 + 7*b - 3. What is the lowest common multiple of h(r) and i(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8904*w + 8926*w - 52338. List the prime factors of w.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -11 - 13) + (0 - -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(3) - -2*sqrt(3)) - sqrt(3))*-4 + 4*(sqrt(36)\/sqrt(2))\/sqrt(6).\nAnswer: -4*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 482\/550855 or -1?\nAnswer: 482\/550855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*h + 21, 3*m - 5*h + 4 = -16. Let t be m*4\/(-1 - 3). Suppose 27 = p - 4*z + 6, -25 = t*z. Which is greater: -4\/35 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 814 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/5, 3, -76, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/30)\/((-19)\/(-608))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000657189 rounded to 6 dps?\nAnswer: -0.000657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from gygeneegevery?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*v**5*x**3 - 80*v**4*x**2 - 8*v**2*x**2 - 65*v*x**3 - 1 wrt v?\nAnswer: -600*v**2*x**3 - 1920*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13364763 - -0.5.\nAnswer: 13364763.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -25355.7 to the nearest 100.\nAnswer: -25400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/72*-4*(0 + 1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 19. Suppose -y - 15 = -2*h, -2 = 8*y - 6*y. Determine w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-102)\/(-8) - 6\/(-24). Let b = 19 - c. Suppose -x + 2 = 3. Let r(o) = 2*o**2 - 6*o - 6. Let m(w) = -w - 1. Give b*m(s) + x*r(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2306292 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12322863 - -29937123. Suppose k - 2914264 = j. Suppose -h + 4*x - j = 0, -4*h = -3*h - 2*x + 14699998. What is h rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, c: 9, n: 9}. What is prob of picking 1 c, 1 n, and 1 f?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**2 + 4479*y + 8970 = 0.\nAnswer: -2, 1495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -5, 8, 3, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1691081 (base 10) to base 8.\nAnswer: 6346711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 2)*26\/66924*99?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45659.3 times 50?\nAnswer: 2282965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248\/367 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -11*z + 2. Let g(p) = -32*p + 6. Give -3*g(u) + 8*n(u).\nAnswer: 8*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 - -42)*(-6)\/(-8). Let c(q) = -n*q**2 - 128*q**2 + 5*q**2 - 63*q**2. Let m(d) = -2*d. Calculate m(c(a)).\nAnswer: 414*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 0. Let t be 1\/(-4) + 42\/j. Let s be -14*(-4)\/(-10)*t. Which is smaller: s or -27?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23)\/(((-9)\/(-24))\/(-3)). Suppose -4*k - 4*d = -0*k - v, -5*k = 2*d - 236. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + k = -10, 57*g - 4*k = 52*g - 35 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n**2. Let i(y) = -4*y**2 + y + 1. Let d(w) = -34*w**2 + 8*w + 8. Let m(b) = -d(b) + 8*i(b). Give v(m(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/5 and (24\/(-70))\/(2\/8).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 701 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.643 + 2.76. Let m = 1.114702 - q. Round m to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 13. Let x(l) = -5*l - 20. Let b(k) = 2*k - 14 + 3*k + 0 + 12. Let s be b(2). What is s*h(n) - 5*x(n)?\nAnswer: n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:05 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2171036.99993 - 2171020. Let r = 17 - c. Round r to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) + (-10)\/120. Determine u, given that 0*u**2 + 0 + u**4 + o*u**3 + 0*u = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5219)\/(-102))\/((-2)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 m when four letters picked without replacement from mbbbbbbmmmbbbbbmmb.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 6*z**2 - z + 6. Let l(i) = i**2 + 2*i - 5. Let d be l(-4). List the prime factors of y(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 2. Let b(n) = 10*n + 3. Let z(d) = 4*b(d) + 5*g(d). Calculate the remainder when 34 is divided by z(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(684) + -1)*-3 - (sqrt(684) + sqrt(684) + 0 + sqrt(684) + -4)) - ((sqrt(684) - -2*2*sqrt(684)) + (2 + sqrt(684))*-4 + -4))**2.\nAnswer: -7524*sqrt(19) + 248013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 377*o**2 + 173*o + 150*o - 324*o - 1778*o**2 to v*o**2 + h*o + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -570*k + 238. Let z(c) = -1. Let f(n) = -h(n) - 12*z(n). Is f(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a - 4. Let t be i(-3). Let o = 1479 - 1475. Suppose -1 = -5*w - 21. Put o, w, t in decreasing order.\nAnswer: t, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i - 29301. Let z(w) = 3*w**2. Determine g(z(s)).\nAnswer: -6*s**2 - 29301","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrg. Give prob of picking 1 f and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*q + 4. Suppose -4*k - 10 = -9*k. Suppose -56 = -q*n + k*n. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.3134846 nanoseconds to minutes.\nAnswer: 0.00000000002189141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60874, -61406, -62292, -63532, -65126, -67074?\nAnswer: -69376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iitt when four letters picked without replacement from iitiitiiititiiiiii.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 - 1 - 3 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/12050 and -15\/1928?\nAnswer: 48200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/j**1*j)\/j)*j)**34)**(-50)*(j**(1\/6)*j*j**(2\/9)*j)\/((j**4\/j)\/j*j*j*(j\/(j\/((j**(-4)*j)\/j*j*j)))\/j) assuming j is positive.\nAnswer: j**(-30575\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2 + 16\/32. Suppose d + 5*s - t = -5, 5*s = 5. Sort d, -2\/13, 1\/8 in decreasing order.\nAnswer: 1\/8, -2\/13, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2\/17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/(-6) - 2\/4 - -172. Let n(m) = m**2 - 11*m + 1. Let t be n(12). What is the highest common factor of b and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4251 and 16241?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 2) + 4 + -2. Let s be t\/4 - 15\/(-36). Let p(c) = -c**2 - 2*c + 7. Let f be p(2). What is the third biggest value in f, -2, s, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 643 - 579.46. Round j to zero dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5468, -51\/16 in descending order.\nAnswer: 5468, -51\/16, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 = -0*n - 5*x, -3*x = 2*n - 33. Suppose -2 = 2*y - 0. Let k be n*(1 - y\/(-2)). Solve k = -5*t + 5*b - 6, -4*t = 5*b - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r**2 - 2*r - 2. Let z be o(2). Let c be ((9 - -74)*-1)\/1. Let l = z + c. Solve 0 = -2*n + v - 11, -l*n + 3*v - 14 = 2*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 492586032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.911 + -0.089. Suppose -5*m - 2 = 2*d - 5, -3*m - 2*d + 1 = 0. Let u(o) = 4*o**3 + o**2 + 2*o - 3. Let p be u(m). Are c and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2567846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 19*z + 60 = 0. Suppose -13*k + z*k - 10 = -5*w, w - 3 = 0. Calculate the smallest common multiple of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 + 1)*(-464 + 161*h + 464 + 61*h).\nAnswer: 2442*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014331 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 1267)\/(-34) - 39\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-138)\/(-920))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 + 4. Let n be f(6). What is the third derivative of 3*z**2 + z**5 + z**5 + z**5 - n*z**5 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2933700 or -4\/5?\nAnswer: 2933700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let h(o) = -14*o - 50. Let l be h(-4). Let f(s) = 132*s**2 - 39*s + 39. Let r(p) = 7*p**2 - 2*p + 2. Let a(t) = l*f(t) - 117*r(t). Give d(a(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 7*d**5\/12 + 20*d**3\/3 - 22*d**2. Differentiate o(v) with respect to v.\nAnswer: 70*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22768 + -23184.68. Let i = 428 + s. Let w = -0.52 + i. Round w to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -34. Let b = h + -90.6. What is b rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 15 = 14*p + 5*z - 2, -3*p + z + 20 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 24 = 0. Let z(g) be the first derivative of -8*g - 1 + 7\/2*g**2 - 1\/3*g**3. Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1917377067.\nAnswer: 3, 19421, 32909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31449207 to the power of 1\/2, to the nearest integer?\nAnswer: 5608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let n(b) = b + 11 + 8*b**2 - 11. Let d(t) = n(t) - 2*x(t). What is the second derivative of d(a) wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1\/2 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -123*w - 111. What is f(-3)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305235 divided by 119?\nAnswer: 2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2141304406 - k + 2141304406.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/9 + -2 + -1. Which is the biggest value? (a) 2\/7 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 >= 0.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*d + d. Let j(u) = 30*u + 53. Let f(q) = -29*q - 52. Let n(g) = 6*f(g) + 5*j(g). Let w be n(-2). Put 0, w, 3, d in increasing order.\nAnswer: d, 0, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {x: 1, s: 1, e: 5, n: 1, r: 1, p: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l + 1. Let o(p) = -6*p**2 - 5*p + 7. Let r(g) = -7*g - 3*g**2 + 5 - 2*g + 2*g + 5*g**2. Let c be r(2). Determine c*o(z) + 5*d(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + 632\/12. Suppose -r = -z + 3*n, -77 - 5 = -2*z - 5*n. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*w - 0*w. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*x + 36, -4*x - 106*l + 34 = -103*l. Find the second derivative of 4 - 119*z + 55*z**2 - 7 - 5 + x - 4 wrt z.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7*1)\/(-1*2\/2). What is the greatest common factor of 28 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/4 - 1\/4. Suppose 4*j - 4*t = 84, -175*t = -4*j - 176*t + 69. Solve -u - 3*g = c, 4*u = 5*g - j + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 3*w = 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 + 0.6. Let l = w + -2. Let n = 14124 - 14123. What is the closest to n in 0.1, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 = 2*t. Let q = -4 + t. Let s be ((4\/18)\/(-2))\/(2\/3). What is the nearest to s in q, -2\/9, -1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:16 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-2)*(-4)\/30. Let l be (-4)\/(-6) + (-80)\/(-15). Suppose 0 = -l*i + i + 25. Which is the closest to y? (a) -2\/3 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of z**4 + 299869*z**2 + 374164 wrt z?\nAnswer: 4*z**3 + 599738*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2888*b - 2352 = -3084*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1514.4 - 1514.43. What is the nearest to 3 in h, -1.2, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -120447?\nAnswer: -120447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*c + 39*c + 15. Suppose c*p = 1743 - 248. List the prime factors of p.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*d - 4*w, -1 = d + 4*w - 7. Suppose -d*n - n = -9. Suppose -3*k + 12 = 0, -2*z + 2032 = n*k + 558. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 804306.3um?\nAnswer: 0.0008043063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116064.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*c**2*f*l + 3*c**2*l + 18*c**2 + 837*c*f*l - 20*c*l + 9 wrt f?\nAnswer: 26*c**2*l + 837*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 smaller than -4637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*k = -10 + 26, -5*s - 8 = -3*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 23 = -5*l + x, -l = 4*x - 7. Let y = -0.1 - -0.2. Let q = -77 - -77. Which is the closest to y? (a) q (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/5 + 2*f**2 - 434*f\/5 - 442\/5 = 0.\nAnswer: -17, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379 + 688 - 3*o**2 + 0*o**2 - 353 - 2*o**2.\nAnswer: -5*o**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2 + 2)*(2*b**2 + 4*b - 4*b) + 2*b**3 + 0*b + 0*b + (-b + b - 2*b)*(3*b**2 - 2*b**2 + b**2) + 2 - 2 + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -287*p - 94. Let d be h(-17). What is the greatest common factor of 55 and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3, 31, -0.05 in descending order.\nAnswer: 31, -0.05, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -964.501 - 1.499. Let f = d - -617. Let c = f - -349.0147. Round c to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0)*(7 - 6). Which is the closest to p? (a) -2 (b) -0.5 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 + 16*t + 7. Let i be 4\/(9\/((-198)\/(-8))). Suppose 5*p - g - 33 = 0, -p = -0*p + 2*g - i. Calculate the remainder when 81 is divided by y(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 0*n - 37 - n + 0*n + 48. List the prime factors of u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -22. Let u = a + 50. Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4535 - 838973\/185. What is the second smallest value in 0.1, n, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25532813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 2) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 16*j - 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -113. Let q = -32 + v. Suppose -3*l - 2*m = -294, 6*m = -q*l + 3*m + 191. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:40 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*k + k + 14208. What is the remainder when 29 is divided by ((-30)\/(-9) - 3)\/(8\/k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 179729984 and 7616.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-4 + -1 - (-8 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*g**4 - 2*g**4 - 3*g**4 + (2*g - g + 0*g)*(3*g**3 - 2*g**3 + 2*g**3) + (-832 + 57*g + 832)*(5*g**2 - 2*g**3 - 5*g**2).\nAnswer: -101*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 14. Suppose n - 290 = -4*n. Let f = n - q. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k = -78*k + 4*n + 188, 3*n - 848 = -5*k. List the prime factors of k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.8 + 15. Let j = -6 + 3. What is the closest to -0.1 in q, 3, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 22, -4, -16, 592, 4 in increasing order.\nAnswer: -16, -4, -3, -1, 4, 22, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008780372 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 9 = -6. Let t = -1 - x. Put t, 4, 1 in decreasing order.\nAnswer: 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (4 - 4) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44d0 (base 15) to base 7\nAnswer: -60360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8552889l?\nAnswer: 855.2889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 419*g**5\/60 - g**4\/4 + 47*g**3\/3 + g**2 - 292. Find the second derivative of o(f) wrt f.\nAnswer: 838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 919*w - 5. Let s be p(-2). Let h = 2803 + s. What is h rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((-1)\/(-4) - 252\/48)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/4 + 3*f = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1.55 (c) -13.4 (d) -4\/3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 2. Let z be o(2). Let n(m) = -m**3 - 4*m**2 + m + 3. Give n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 0, 3*b = 5*s + b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/39 - 424\/(-11713).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**3 + 2*p**2 - 2*p - 3. Let g(r) = -24*r**3 + 7*r**2 - 7*r - 9. Let u(o) = 2*g(o) - 7*y(o). Differentiate u(h) with respect to h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79\/7 - -11. Let c = -0.46 + 0.06. What is the second biggest value in c, g, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 860325114?\nAnswer: 860325112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472397.\nAnswer: 3, 193, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**3 - 13*i**2 + 7*i - 6. Let h(a) be the third derivative of -a**6\/60 + a**5\/15 - a**4\/12 + a**3\/3 + 17*a**2 + 3. Calculate 7*h(g) + 2*u(g).\nAnswer: -2*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y. Let a = 108 - 112. Let k(i) = -6*i + 47. Let d(n) = 9*n - 47. Let c(t) = a*k(t) - 3*d(t). What is c(r(w))?\nAnswer: -3*w - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65480310 by -805.\nAnswer: 81342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -2, 12, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63851976 divided by -2?\nAnswer: -31925988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/8)\/(2\/16). Let q(f) = -8*f**2 - 8*f + 5. Let o = -148 + 153. Let p(n) = 9*n**2 + 9*n - 6. Let w(t) = d*q(t) + o*p(t). Solve w(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than -2994075.20463?\nAnswer: -2994075.21463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(250)*1 + (sqrt(250) - -3*2*sqrt(250)))\/(1*sqrt(125)*6) + 2.\nAnswer: sqrt(2)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485374, -970138, -1454904, -1939672, -2424442, -2909214?\nAnswer: -3393988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + s + s + (3 - 6 + 2)*(1 + 3 - 3)*(3*s - 1 + 1).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54698967?\nAnswer: 3, 19, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-165) + 33\/15. Suppose -4*d + 922 = 2*g, -f*g = 2*g - 5*d - 1805. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0299917 + -332.9700083. Let w = 1.4 - 1. Which is the second biggest value? (a) w (b) 2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (4\/2 - -1). Suppose l*x = 8*x + 20. Which is the third biggest value? (a) x (b) -1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -105, 0, 21 in increasing order.\nAnswer: -105, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 34. Calculate n(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 374 - 294. What is the second derivative of 5 - 4 + j*d**2 - 20*d - 45*d**2 - 56*d**2 wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h + 5*h**2 - 9 + 19 - 4*h**2. Calculate l(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 478657972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2453, -2451, -2449, -2447?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -45*q - 90. Determine m(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 d when three letters picked without replacement from dddddodo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4*-34660541\nAnswer: 138642164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + -0.2. Which is the biggest value? (a) 2 (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 6:25 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39970, -39973, -39976?\nAnswer: -39979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/1691 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 32 + 21)*(-5*k + 3*k + 4*k)*(-3 + 0 + 0).\nAnswer: -540*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*t = -23, 0 = -2*r - r - 2*t + 19. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*y = -92753, a - 2*y + 4637 = 97366. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285969, 571936, 857903, 1143870, 1429837?\nAnswer: 1715804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a. Let y(u) = 3*u - 7*u + 5*u. Determine y(l(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4*l**2 - 2 + 20 - 12 + 10 - 8.\nAnswer: 4*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/8*-136*(-37)\/222.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 = -3*c - 513. Solve c*d = 20*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**4 - 14137702*z**3 - 14137703*z**2 = 0. Calculate z.\nAnswer: -1, 0, 14137703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 455763 - 186302. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 228.7? (a) 0.3 (b) -0.4 (c) -0.5 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16337.07kg to grams.\nAnswer: 16337070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j - 26 - 10. Suppose 8 = q + o, 4*o = j*q + 26 - 78. Let b(v) = 35 - 10 - q - 16 + 4*v. What is b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -1d169?\nAnswer: 1d172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3002388 = 262*o - 1558246. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 - 209. Put k, 2, 5, 14 in ascending order.\nAnswer: 2, k, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3629)\/(-133) + (4\/(-7))\/2. What is the greatest common divisor of 36 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1003238*v + 40129526. Give g(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -1326, -2217, -3378, -4899, -6870, -9381, -12522?\nAnswer: -16383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 42. Suppose 24 - 42 = -3*b. What is the derivative of -b + 30*v + 1 - m + 0 wrt v?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 593 - 714. Calculate the common denominator of (x\/(-15) - -3) + -6 and (-2)\/(-6)*(-38)\/6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*p - 46. Let k be ((-15)\/(-4) - 0)\/(22\/440). Suppose 3*m - v + k = 8*m, 4*m - v - 69 = 0. Is p < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 54.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 33. Let q be l(-15). Is q at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1411*k - 344*k - 349*k - 367*k - 354*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 2)*-2 + 8. Let k(m) = -m**2 + 7*m - 4. Let f be k(x). Suppose -3*n = f*n - 10. Solve -2*q - h + 1 = -n, h + 6 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 + 6. Let s = 7.25 + -7.29. What is the fourth biggest value in -1, 5, s, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let q(h) = 32*h**2 - 358*h - 115. Let a(s) = -15*s**2 + 165*s + 57. Let f(c) = -13*a(c) - 6*q(c). Determine j(f(w)).\nAnswer: -3*w**2 - 3*w + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1201988 times 10\nAnswer: 12019880","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*w - 2*w**2 + 4*w**2 + 4 + w**2 + 99*w.\nAnswer: 3*w**2 - 216*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:36 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 1.673?\nAnswer: 4.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -11 + 16 + -6 + 19 - 136\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 21698 = 17*b. List the prime factors of b.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1258 + 1258.3. Which is the second biggest value? (a) 0.525 (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**3 - 30*i**3 + 16*i**3 + 51*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8322 times -2\nAnswer: -16644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -26*d + 239. Give b(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 1, f: 4, x: 2, i: 1}. Give prob of sequence fkf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = t + 4, 0 = t - 2. Suppose -a*i = 4*h, 5*h - 5*i - 27 = -2*i. Is 37 + h + -6 - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482041554?\nAnswer: 2, 3, 80340259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 306828467?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqt when three letters picked without replacement from {t: 1, o: 3, a: 6, c: 4, v: 2, q: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -242059272 + -1?\nAnswer: -242059273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5813, 5861, 5909, 5957, 6005, 6053?\n\"Answer: 48*l + 5765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -70\/709587 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.56 + -10. Let m = s + -0.46. Let q be ((-2)\/(-6))\/((-2)\/12). What is the second biggest value in m, 0.6, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.0911 rounded to the nearest integer?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((6 - 12) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 + 3*c - 5. Suppose -2*i = i + 4*x - 20, 2*x = -5*i + 10. Suppose i = h - 2*s + 4, 5*h + s = -38 + 7. Is p(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/12 - (-10)\/4. Suppose -14*k - 148 + 134 = v. Let y = -126.1 - -117. Are k and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3) + 1)**2 + sqrt(3) + -2 + sqrt(3) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 15 = v, -6663*v - 10 = 3*b - 6661*v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 235.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-405) - ((-29)\/(-9) - 3))\/((-261)\/8700).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 97. Let w be ((-3)\/(-2))\/((-21)\/(-6)). What is the second smallest value in -1\/7, g, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 (base 11) to base 10\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 34. Let c be a(-5). Sort -3, c, -37.\nAnswer: -37, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {y: 2, q: 7, o: 2, g: 8}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*w**2 - 17 + 4 - 2*w**3 + 14.\nAnswer: -2*w**3 + 168*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2751 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 1, 1649\/11 in descending order.\nAnswer: 1649\/11, 1, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*v + 21. Calculate the remainder when 57 is divided by (-135)\/18*(-16)\/v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -413*q**6\/30 + 11*q**4\/12 - 14*q**2 + 23*q + 10. Find the third derivative of s(n) wrt n.\nAnswer: -9912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 45. Suppose 3*t + 4*b - 121 = -0, n*t - 116 = b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 55 = 27*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261106677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.09. Let x = m + -0.35. What is x rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/49)*u*(u*u*u*u*u**(2\/15)\/u*u)\/u assuming u is positive.\nAnswer: u**(3008\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7287*a**4 - 26*a**3 - 2*a**2 + 2738761.\nAnswer: 29148*a**3 - 78*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -257 - 579. Let n be 2\/(-8) + (-54)\/8. Is (n\/21 - x\/(-12))*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-5 + (sqrt(5) - -2*sqrt(5))*1 - (-2*sqrt(500) + 5)) + 5))**2.\nAnswer: -3680*sqrt(5) + 42720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, e: 1, p: 1, y: 2, h: 1, c: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*a + 2109, -9332 = -4*m + 3*a - 941. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4640\/1 + -8 + (-48)\/(-6).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 79\/391?\nAnswer: 79\/391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 287883000 to the nearest 100000.\nAnswer: 287900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05634 to three decimal places.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.007 + 0.693. Let f = o + -0.8. Let v = -4 - -4.4. What is the nearest to -2 in v, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 260 - 179. Let t = v + -66. What is the remainder when 38 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(56) - -2*sqrt(224))\/(sqrt(24)\/(sqrt(243)*-6)).\nAnswer: -864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 473, -10, -2.331 in descending order.\nAnswer: 473, -2.331, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 8*n - 4. Let l(f) = -4*f**2 + 7*f + 3. Let w(o) = 4*l(o) + 3*m(o). Let j be w(4). Find the first derivative of j + 1 - 3*s**3 + 0 wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-2)\/5*1\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -2. Let p = 15 - 12. Let s(n) = -6*n - n**3 - 2 + p*n - z + 5*n**2. Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1062169 to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 4 + (8 - 124). Let f be z\/(-30) - (-2)\/10. Solve 23 = 5*p - 3*c - 11, -f*c - 12 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**7\/840 - x**6\/720 - x**5\/120 + 29*x**4\/6 + 17*x. Let z(h) be the third derivative of q(h). What is z(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.02, -12, 0, -0.05 in increasing order.\nAnswer: -12, -0.05, 0, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 28, 21, 6, -17, -48?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 11*x - 3. Let k(j) = -10*j + 3. Let z(g) = -6*k(g) - 5*w(g). Calculate the remainder when z(8) is divided by 0 + 26\/4*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z - 370 = 436 - 1094 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178748674 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/61505 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(14\/(-6) + 3). Suppose 0 = 4*l + l - 15. Suppose -5*i - l*f + 107 = 0, -d*f - f - 7 = -i. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1682434?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339224 to the power of 1\/2, to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11001111011010001110000111?\nAnswer: -11001111011010001110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-43 - -18) + (11 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 124*p**2 + 5*p - 5. Let m(y) = 186*y**2 + 8*y - 8. Give -5*m(r) + 8*x(r).\nAnswer: 62*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1 - -3) + -3. Let g = -1 - h. Let x(p) = p + 1. Let o be x(-5). Sort -2, g, o in decreasing order.\nAnswer: g, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(-2 + 0 + 1)*(-199*u - 20 - 911*u + 20).\nAnswer: 3330*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -56*m**2 + 29*m - 4. Let i(v) = 57*v**2 - 27*v + 5. Let y(k) = 4*i(k) + 5*l(k). Find the second derivative of y(b) wrt b.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 + 11*g**3 - 90 + 5*g**3 - 115 + g**3.\nAnswer: 17*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + y - 2. Suppose -23*k + 103 = 14*k - 45. Let z(j) = 2*j - 3. Let f be z(3). Let q(l) = -l**3 - l + 1. Give f*v(r) + k*q(r).\nAnswer: 2*r**3 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**5\/7 - 1090*i**4\/7 - 2140*i**3\/7 + 17380*i**2\/7 + 306*i - 16290\/7 = 0?\nAnswer: -543, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 3*c**2 - 6*c + 7. Is x(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 9*k**2 + 13*k + 5. Let x be v(7). Put -17, x, 1, -1\/5 in decreasing order.\nAnswer: 1, -1\/5, x, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 1. Let m be s(-2). Let z be 0 - -1 - m\/1*-149. Suppose -z = -4*h - a, 3*h - 7*h + 154 = -a. What is the remainder when h is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 52 = -0*y - y, 3*y - 124 = o. What is the derivative of -59 + 117*g**4 - 34*g**4 - g**3 - 2 - 93 + y*g**4 wrt g?\nAnswer: 492*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2 - 1204*v - 22154 = 0 for v.\nAnswer: -583, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6651013 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:46 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 86 = 20. Let l = o - -74. Let z(s) = 1. Let u(j) = 4*j - 4. Let k(m) = l*z(m) + u(m). Let h(d) = 5*d + 5. Determine -3*h(a) + 4*k(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 65685?\nAnswer: 131370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1040)\/(-26)*(-10)\/25?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-5*-6*-4)**2.\nAnswer: 22161600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1.43, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -1 - (-66 - (-46 - 4))) + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 4*j - 2*j**4)*(64*j - 23*j - 4*j) + (-3*j**2 - 4*j**2 + 0*j**2)*(-2*j**3 + 2*j**2 - 2*j**2).\nAnswer: -60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + u + 5. Let a be c(-5). What is the greatest common divisor of a and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554292289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m + 5*w - 474, 0 = 5*w + 10. Calculate the smallest common multiple of 110 and m.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 929985 (b) -1\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 4. Suppose -i = b*i - 25. Solve 2*r + 2 = 2*p - 4, -i*p + 3*r + 9 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*m - 155, 6*u - 4*u + 4*m = 50. Suppose -u = -17*s + 10*s. Is s < -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -651, -986, -1321?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1705, -2881, -4325, -6043, -8041, -10325, -12901?\n\"Answer: -t**3 - 128*t**2 - 785*t - 791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -84*m - 2788. Determine l(-33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = -38*h + 400. What is the remainder when 8597 is divided by h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 0.3 (c) -31.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 639156 divided by -12\nAnswer: -53263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33.501 + -37.501. Let m be 9*(-4)\/(-26) - 2. Let s = -41\/39 + m. Which is the nearest to -0.1? (a) s (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q - 20, -3*y + 2*q + 19 = 0. Suppose -4 = 11*k + 7. Let g be (-88 - y)\/k - 3. What is the greatest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-9)*288\/64.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*v**2 + 6\/11*v**3 - 4\/11*v**5 + 0 - 2\/11*v**4 - 2\/11*v = 0. Calculate v.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1943*z + 91925 = 19669 - 75412 for z.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c - 19. Let r be l(10). Suppose -u - 2*m + r = -5*m, 4*m = 5*u - 477. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k. Let q be g(12). Suppose 2*m - 7*m = 2*r + 31, 4*m = -2*r - q. Let f(o) = -o**2 - 7*o + 13. What is the tens digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 2836208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = -4*i - 100, 0 = m - 4*i + 116. What is the common denominator of -24\/17 and (m\/14)\/(-4*3\/8)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -92. What is the biggest value in -2\/5, -1, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 15*j**2 + 11*j + 399. Calculate y(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - u - u + 30 = 0, -5*u = 15. Suppose -5*y = -27 - g. Solve 5*k + y = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10318 by 5159.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 130205.1mm?\nAnswer: 130205100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 4*h - 9*g - 27, 0 = 2896*h - 2894*h + 3*g - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from {u: 9, r: 3, d: 1, z: 3, n: 1, p: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/8 - 5\/(-2 + -38). Factor -2\/5*o**2 + 2\/5*o + k.\nAnswer: -2*o*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 2:03 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3303 + 11?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1764*l**2 - 3513*l**2 + 7 + 1760*l**2)*(0 + 2*l + 0)*(4*l**2 - 5*l**2 + 2*l**2).\nAnswer: 22*l**5 + 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -137, -297, -519, -803, -1149, -1557?\n\"Answer: -31*q**2 - 5*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 420*j**3 - 1296*j**3 - 5*j**2.\nAnswer: -876*j**3 - 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, e: 5, i: 1}. Give prob of picking 1 r and 2 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -13 - ((3 - 8 - 2) + 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -151*h - 638*h - 473*h. Let c(f) = f. What is l(c(z))?\nAnswer: -1262*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14090790 + -49268790. Round j to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 224.\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*(-126)\/168?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/50)\/(742\/70 - 10)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-306) + 18032\/585. Let g be (2\/(-10))\/((-4)\/624). Let s = v - g. What is the third biggest value in -0.5, 1, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30754\/105 and -292 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 1919bee?\nAnswer: -1919c04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least 4\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 536 + -71. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 c when four letters picked without replacement from cchhhhpvcvv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 141*q**2 + 140*q**2 + 122*q**2 - 547*q**2 + 142*q**2.\nAnswer: -2*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-3)*(-1 + 4). Let v = s + -5. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:40 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, -10, -2, -5, 2 in decreasing order.\nAnswer: 133, 2, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*c**3 - 83*c**3 - 175*c**3.\nAnswer: -244*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -6 + 1. Let f be 6 + -3 - -2*1. Suppose -2*z + z - 20 = -2*b, -52 = -f*b + 3*z. What is the greatest common factor of b and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186\/2861 or -6?\nAnswer: -186\/2861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3911*f + 22*f**3 + 3943*f + 3901*f - 11755*f.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 384\/38 + (-24)\/228. Suppose u*c = 3*c + 21. Solve -4 = -c*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183 (base 10) in base 11?\nAnswer: -986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*(-36)\/162.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11868740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 2, -4, 0, -1 in ascending order.\nAnswer: -34, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45.3 - 4.3. Let l = -336.3 + 382.3. Let f = k - l. Is 4 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 17*f**2 + 9*f - 9. Does 33 divide c(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 108 = -222. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/3))**(8\/17)*j*(j**(-3\/4)\/j)\/j*j*j**(-3) assuming j is positive.\nAnswer: j**(-637\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 574 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*s + 153*s = -215. What is the highest common factor of 24 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122*i**2 + 268 - 275 - 9373*i**2.\nAnswer: -8251*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53066 is divided by 17342.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1 - 1 + d**3 - 3. Let y = 19 + -4. Suppose 3*u + u = -5*h - 20, 3*h = 3*u + y. Give o(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eighteen fifths of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 28. Let b be ((-24)\/(-10))\/(a\/(-40)). Solve 5*u + 2*s - b = 4*s, -u = -5*s + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from qxxqqxx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d + 15. Let a(g) = -g - 1. Let q be a(d). Suppose 2*u - 2*r - 10 = 0, -q*u = u + r - 7. What is the third biggest value in u, -2\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40009\/440 - 1957\/22. Find the common denominator of t and -7\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2546796 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*t - 11524 = -2044*t - 9385 - 37863 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-63)\/(-294)*105\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/5 (b) 1\/4 (c) 1\/3 (d) 19602 (e) 12 (f) -5 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + 2*w)*(10 - 11 - 4) + w + 2*w - w + 3*w - 2*w - 3*w + (2*w + 0*w - 3*w)*(1 + 0 - 2) - 4*w - 4*w + 5*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -239 - -241. Suppose -5*c = -5*d + 860, 330 = j*d - 8*c + 13*c. Is d at least 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2938 + 2.\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1142 divide 14044316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-2 - (10 + -36)) + 0 + 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjtdnjznjpt. What is prob of sequence pntd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 194*x**2 - 128*x + 2 wrt x?\nAnswer: 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/1259 in 4\/45, 1\/2, -3, 7\/8?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 602 and 2989792064?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17681.3 + -15469. What is g rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 - 10*c**3\/3 + 9*c**2\/2 + 4*c - 12. Let k be o(9). Solve t + 0*t - 4*d - 21 = 0, 0 = t + d + k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 350, 666, 982, 1298, 1614, 1930?\n\"Answer: 316*p + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**5\/60 - 7*y**4\/24 + 2*y**3 + 108*y**2. Let b(d) = d**2 - 7*d + 13. Let v(l) = 5*b(l) - 6*n(l). What is v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12722 + -12708. What is the nearest to 1 in -3\/4, -1, z?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 3 (c) -1 (d) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 68*l**3 - 2*l**2 - 87*l - 5. Let v be m(35). Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 84.36505\nAnswer: 94.36505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -14748 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -131340 divided by -2985?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -145 or -1866\/13?\nAnswer: -1866\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 3*t - 10*t - 5*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/11))\/b**(2\/65)*b**(4\/17)\/(b\/b**(-29)))**(-17) assuming b is positive.\nAnswer: b**(351114\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/((-1596)\/(-494)))\/((-39)\/450)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 752 = -5*a + 9*a + 4*b, 4 = -4*b. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 + -15. Let g = -2104.7 + 1982. Let c = g - i. What is c rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 78. Let a be f(9). Suppose -g - g + 8 = 0. Suppose -4*n = g*x + 20, -4*x + 0*n - 2*n - 10 = 0. Solve -4*m + m + a = x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {d: 3, h: 15}.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*b - 6*b, 7*b - 20 = 4*c + 10*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 27. Suppose b - w = -0*b. Put 0, -4, b in increasing order.\nAnswer: -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3) + 1 + 1 - ((2 + sqrt(15)\/sqrt(5))**2 - sqrt(3)).\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-105)\/(-10)*-1*2. Let p(o) = -o**3 - 22*o**2 - 20*o + 25. Let l be p(y). Solve 0*w = -l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = 2*p - 3, 3 = -p + 3*u. Let h = p + -7. Let b = -243 - -243.8. Sort b, h, 3\/7 in descending order.\nAnswer: h, b, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:39 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*y + 49*y + 52*y - 9*y to the form v*y + i and give v.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.4. Let u = -2 - p. Which is the biggest value? (a) 4 (b) 1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32261829, -32261819, -32261807, -32261793, -32261777?\n\"Answer: s**2 + 7*s - 32261837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let q be o(-6). Let g(f) = -2073282 + 7*f + 0*f + f**2 + 2073285. Calculate g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 4*h + (-2*h + 7*h - 3*h)*(-3 - 2 + 6) - 2*h + 3*h + 0*h - 4*h + 5*h + h)*(267*h**3 + 231*h**3 + 105*h**3).\nAnswer: 4221*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -114*f + 55*f - 2 + 57*f. Let o be y(-8). Suppose -24 = -5*m - 3*n, 2*n - o + 2 = -2*m. Calculate the remainder when 10 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 14 + 36 + -31?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q + 1. Let i(y) = 33 + 0*y**2 + 33 - 65 - 2*y**2 - 2*y. Let g(a) = -d(a) - i(a). Let u(p) = -p + 1. Determine 2*g(b) + 2*u(b).\nAnswer: 2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -866 - -1679. List the prime factors of w.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 44*r - 241. Let i be p(5). Solve 0 = i*g + 2*g + 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 266*h. Let g(z) = 44*z. Determine f(g(s)).\nAnswer: 11704*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -4, 5 in descending order.\nAnswer: 92, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 172470911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - z)*(-z**2 + z**2 - 2*z**2) + (3 - 1 - 1)*(-1 + 1 + z**2)*(z - 2*z + 0*z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -23. Let m be -10 - (-8)\/(i - 0). Let d = m + 31. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/4)\/((-138)\/(-2714)). Calculate the greatest common divisor of i and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -1 + -2 + 4 + (-47 - -67 - 21)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2338 is divided by 449.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 320796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1\/558, -1\/6, -1050?\nAnswer: -1\/558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4)*-3)\/(sqrt(12)\/(sqrt(6)*4)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(3) - (-2*sqrt(27) - sqrt(3)))*-1 + 0 - ((3 + sqrt(48) - sqrt(3) - (sqrt(3) + (1 + sqrt(3))*-6)) + 5)).\nAnswer: -16*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 173.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1020 and 5712?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + 2. Let b(a) = 4*a**2 + 3. Let m(t) = -2*b(t) + 3*j(t). Let s(r) = -1306*r. Give s(m(d)).\nAnswer: -1306*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2 - ((-3)\/(-2) + -2)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 1. Let j(y) = 3899998*y**2 + 2*y. Let u be j(n). Round u to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Find the second derivative of -2*a**2 + 0*a + 0 + x + 2*a wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 11:20 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Let w be (-6)\/(-3 + 0 + 1). Is w > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:31 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 556267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 285*t - 53)*(-4*t + 2*t + t)*(-1 + 1 + t) + (-3 + 7 + 3)*(-2*t**3 - 2 + 2).\nAnswer: -299*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -414*j + 551. Is n(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-24)*9 - 6\/8. Let o(x) = -11*x**2 + 23. Let u(n) = -14*n**2 + 2*n + 24. Let g(t) = s*u(t) + 4*o(t). Factor g(v).\nAnswer: -2*(v - 2)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 0, z + 13*p - 15*p = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, k: 6}. What is prob of picking 1 t and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 11*a = -78 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1186 + -14279\/12. Calculate the common denominator of -91\/4 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.2 (c) 0.5 (d) 0.4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1275 = -1217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + o**3 - 16)*(o - 3*o - o) - 3*o**4 + o**3 + 5*o**4 + 0*o**3 in the form m*o + i*o**2 + a*o**4 + v*o**3 + r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8446926, -8446927, -8446928, -8446929?\nAnswer: -8446930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257033335 greater than or equal to 257033335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5*i - 3, -5*w = -5*i - 34 - 71. Suppose 2*l + 8 - w = -3*j, -2*j - 5 = -l. Suppose j = 3*y - 0 - 9. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 140528.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 167306 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16116 + -16116. Let p(m) be the third derivative of 1\/80*m**6 + 1\/60*m**5 + z*m + 0*m**3 + 24*m**2 + 0 - 1\/48*m**4. Factor p(i).\nAnswer: i*(i + 1)*(3*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 711, 1268, 1837, 2424, 3035?\n\"Answer: r**3 + 550*r + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-8)*v*v*v\/(v*v*v**4)*v)\/(v*v**3*v\/v**6)*(v**(-1)*v)**(6\/13)*v**(4\/5)*v*v\/v**(-1\/4)*v assuming v is positive.\nAnswer: v**(-79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 2. Let l be z(-7). Suppose -l*u - 5*c + 5 = 0, 3*u - 7 = -0*u - c. Solve -u*r = 3*o - 15, 2*r = -5*o + 7*r - 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87904590*o**3*r + 12*o**2*r + 9908*o**2 - 8*o + 3 wrt o.\nAnswer: -527427540*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 1163*i**2 + 1174*i**2 + 37 - 18.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bb71 (base 14) to base 4.\nAnswer: 122223113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -42. Let v = -7 - b. Suppose -u = u + y + 6, 0 = -2*u - 5*y - 14. Sort -1, v, 5, u.\nAnswer: u, -1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/7729010 and 129\/760.\nAnswer: 30916040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*z - 3072 = -11723, 4*c + z - 8657 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c**2*k**2 - 238*c**2 + 14*c*k + c - 2896*k**2 - 4*k + 2 wrt c.\nAnswer: 16*c*k**2 - 476*c + 14*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 - 5*w**2 + 2 + w**3 + 7*w**2. Let q be o(-7). Suppose -2*u - 26 = -3*u - 3*p, u - q = 5*p. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8128, 8167, 8192, 8197, 8176?\nAnswer: 8123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 40. Suppose 9 = 2*q - u. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/2 - 10*b**3\/3 + 7*b**2\/2 + 3*b - 1560. Let n(a) = a**3 - 7*a**2 + 5*a + 2. Give -5*j(s) + 7*n(s).\nAnswer: -3*s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404910*t**3 + 201776*t**3 + 203129*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 0.1, 0.2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/18)*((-2288)\/(-24))\/(-26)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1954701 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-728)\/(-266)*76\/(-56)*-7.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -2 + -9 + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m + 7. Let r(j) = j + 13. Let s be r(m). Let q be (-295)\/340 + 3\/s. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f*f**(-1\/4))\/f)**(-33))**11*((f\/((f*f**(3\/11)*f)\/f))\/f)\/((f**(-6)\/f)\/f)*(f*f\/f**(2\/3))**(-3\/4) assuming f is positive.\nAnswer: f**(-27699\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 41\/2 of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 115, -2\/7, 0.06, -1, -1\/4, -2\/9, 12?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 70766615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 18 in descending order.\nAnswer: 18, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -957, -1899, -2843, -3789, -4737, -5687, -6639?\n\"Answer: -t**2 - 939*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(-2\/79)*((p**(-6\/5)\/p)\/p*p)\/(p**(-9)*p*p))**(29\/4) assuming p is positive.\nAnswer: p**(96077\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -402284 != -402252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = -12*k + 72. What is the third derivative of 10*q + 3*q**2 - 12*q - 53*q**5 + 8*q**2 - k*q**2 wrt q?\nAnswer: -3180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 124*p + 1985. Determine i(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 40, 22, -14, -80, -188, -350, -578, -884?\n\"Answer: -2*f**3 + 3*f**2 - 13*f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*l = -1690, 43*l - 1705 = -f + 40*l. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - b**3 - 1 - 1)*(-7 - 6 + 0).\nAnswer: 26*b**3 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -301*w - 11. Let v(u) = -297*u**2. Determine n(v(l)).\nAnswer: 89397*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**14*h\/(h*h\/(h**(-29)*h*h)))**(5\/3) assuming h is positive.\nAnswer: h**(-205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + 5 - 1632116*3. Let h = c + 996351. Round h to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*z - 9721*z - 3003*z.\nAnswer: -13353*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:58 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**3 - y. Let c be p(-2). Let n = c - 39. Suppose -51 = -3*f - 2*t + n, 5*t + 101 = 3*f. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.097139 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3382596 divided by -252.\nAnswer: 13423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -197990*o + 263568 wrt o?\nAnswer: -197990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/12880 and 67\/334880.\nAnswer: 334880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, b: 2, c: 2, e: 4, s: 2, r: 2}. Give prob of sequence rc.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Let f(x) = -x + 1. Let h(y) = 5. Let p(c) = s*f(c) - h(c). Determine p(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:52 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 96 - 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5857 - -43?\nAnswer: -5814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + sqrt(180) + sqrt(180))**2 - (3 + 1*sqrt(180))**2) + -2*((sqrt(35) + sqrt(35)*-1)*1)\/sqrt(7)*1.\nAnswer: 84*sqrt(5) + 556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/8)\/((-210)\/(-560)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/21)*j**(8\/3) assuming j is positive.\nAnswer: j**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 22. Let g = 71 - 56. Suppose -30*h = -33*h + g. Sort h, m, -3, 1 in decreasing order.\nAnswer: h, 1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4286639888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 945*x**2.\nAnswer: 5*x**2*(x + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8889, -17750, -26611, -35472, -44333?\n\"Answer: -8861*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -280*g. Let y(q) = -31*q. Let s(a) = -3*o(a) + 28*y(a). Let d(n) = 2*n**2. Calculate d(s(j)).\nAnswer: 1568*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*s**4 + 7)*(-1 + 2 + 0) + 3 + 2*s**4 - 3 + 4*s**4 + 6*s**4 - 8*s**4 + (-4*s**4 + 4*s**4 - s**4)*(3 - 4 + 0).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/8192050 and 131\/90.\nAnswer: 73728450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70891.\nAnswer: 70891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026636534 to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 369869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214443?\nAnswer: 3, 23827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2. Let q(i) = -344*i**2. Give p(q(t)).\nAnswer: -236672*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyqyy. Give prob of picking 1 q and 2 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 5:14 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 255*u**2 + 16235*u + 425. Calculate w(131).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -297. Let v = r - -196. Which is the second biggest value? (a) v (b) -2\/7 (c) 2\/7 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -172\/7803255 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 smaller than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxpxxpx. Give prob of picking 3 x.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let u(z) = z**2 - 9*z + 12. Let q be u(6). Let r(o) = -11*o**3 + 7*o**2. Give q*l(w) + r(w).\nAnswer: -11*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 3*v - 2*v**2 + 6*v**2 - 11 + v**3. Let y be s(-6). Which is the closest to 0.1? (a) -4 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 1.31.\nAnswer: -3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/351 + (-323)\/(-13). Let n(d) = -2*d. Let w be n(-3). Solve w*r = r - h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/27 - (-124)\/6. Solve m*v = 18*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 376909 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -5*w**8\/336 + w**7\/70 + 7*w**6\/120 - w**5\/20 - w**4\/12 - 2*w**2. Let h(v) = 0. What is v?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 + 77*d + 1 - 75*d - 3*d**2 - 9 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**2 - 26788*u**3 + 13*u**2 + 26805*u**3 + 2*u**2.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125411 + 431005?\nAnswer: 301154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Suppose -15*c + 19*c - 144 = y. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(637)) + (4*(1 + sqrt(637)) - sqrt(637)))**2 + 5.\nAnswer: -252*sqrt(13) + 2634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:01 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 18 (c) 3 (d) 0.5 (e) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7603609 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.3 - 1.7. What is the closest to 1 in -1\/5, -3, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1377\/765)\/(8\/10))\/(120\/16)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3)\/(2\/(-9)). Is u\/(-10) + (-7660)\/(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-3 + -1)) + (-1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbt when three letters picked without replacement from nbnlnlbbnnltb?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 25*i - 24. Let n be l(21). What is the greatest common factor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c**2 + 3*c - 6. What is the lowest common multiple of t(5) and (28\/(-20) - -1)\/((-2)\/20)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60241609, 60241608, 60241607, 60241606?\n\"Answer: -n + 60241610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -173359*a*k*t**2 - 4*a*k - 20*a*t + 33*k*t + 3*t wrt t.\nAnswer: -346718*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099*h - 1784*h + 2865*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 3 - g**3 - 7*g**2 + g**3 + 3*g + g**3. Calculate z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 24143, -293, 0 in ascending order.\nAnswer: -293, -5, -2, 0, 24143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.669801 - 0.\nAnswer: -0.669801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {x: 1, i: 3, u: 1, f: 1, s: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 + -4. Let x = -6.06 - -0.06. Let z = x - -6.3. Put m, -4, z in ascending order.\nAnswer: -4, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458242922.\nAnswer: 2, 17, 13477733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (31 + -5 - 5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-16))\/(-3))\/((-87)\/(-696))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -88*f + 84*f. Suppose 2*j = -5*t + 32 + 11, 5*j - 4*t = 91. Solve 2*r = 6*o - f*o - 5, 3*o + 4*r + j = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16223 is divided by 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*t - 1981. Let z = 767 - t. What is the greatest common factor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-105)\/33 + (-2)\/(-11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -25*u**2 + 14785*u - 5929. Calculate a(591).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) -9 (d) -6\/7 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1095 divided by -1\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (221\/(-247))\/(3055\/(-11609))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3006, -5996, -8982, -11958, -14918?\n\"Answer: x**3 - 4*x**2 - 2985*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110100000110001000 - -1?\nAnswer: 1000110100000110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121074405.\nAnswer: 3, 5, 1811, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1634?\nAnswer: 1634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -0.14 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 924 = 4*g, 8*y - 3644 = 12*y - 3*g. What is y rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311545707 divided by -11.\nAnswer: 28322337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5 - 21*g**4 + 23*g**3 + 317*g**2 - 624*g + 304 = 0. What is g?\nAnswer: -4, 1, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2765072 is divided by 1382528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 1)*(0*v**2 - 5*v**2 + 0*v**2)*(0 - 6 + 2)*(-3*v + v + 13*v) to p + r*v**3 + n*v**2 + y*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000771164 rounded to 6 decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47543761 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, d: 2, e: 8}. What is prob of picking 1 d and 1 e?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6646*r**3*u**2 - 41*r**2*u**3*w**2 + 2*r*u**3*w + 580346*r*u*w - 2*u**3*w**2 wrt r?\nAnswer: 39876*r*u**2 - 82*u**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9946688 divided by -4973344.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 26*d**2 - 14*d + 14. Determine m(9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 + 168*d**3 - 4443*d**2 - 9550*d.\nAnswer: d*(d - 25)*(d + 2)*(d + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 2a192a47?\nAnswer: -2a192a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48441 and 482?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2536 and -35\/4.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 34\/(-10))*5. Let q(u) be the first derivative of 4*u**2 + 3*u**s - 2*u**2 + 14 - 4 - 3*u**6. Find the second derivative of q(h) wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2968 divided by 371.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/10*(-2405)\/(-2886)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 equal to 761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let v(x) = -4*x + 2*x + 4*x - x. Let b = -1 + 0. Determine b*i(m) - 4*v(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4)\/(((-420)\/12600)\/(1\/(-6)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.35205654 and -38.5?\nAnswer: 38.85205654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -5*g**7\/42 - 5*g**3\/6 + 2*g + 3. Let h(q) be the first derivative of m(q). What is the second derivative of h(p) wrt p?\nAnswer: -100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (12 - 3 - (19 - 16))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*s + 102 = -2*s, -2*s = 3*v - 278. Suppose -4*r = 4*j - 200 + 40, -j + r = -32. What is the tens digit of (-242)\/(-5) - j\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 892, 903, 928, 973, 1044?\nAnswer: 1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435604*t + 433405*t - 1 + 1.\nAnswer: -2199*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/4*8\/14. Suppose c + 19 = r*n, -n + 2*n = -3*c - 8. Suppose 329 = n*w + 133. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.249474 months to centuries.\nAnswer: 0.010207895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-f - 2*f - f)*(-4 + 2 + 1) + 0*f - 2*f + f + (-2 + 3 - 2)*(1 - 5*f - 1))*(27*f - 8*f + 6*f).\nAnswer: 200*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 705, 1461, 2475, 3735, 5229?\nAnswer: 6945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, -86, -356, -776?\n\"Answer: -75*p**2 + 105*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*w - 55*w - 1151 = 6*w + 129 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9332524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-10 + 10 - 98*f).\nAnswer: -98*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-9)*(-75)\/650. Let p = -25.36 - -25. Sort 2\/5, o, p in decreasing order.\nAnswer: 2\/5, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7065 is divided by 543.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74526380*c**5 + 7764*c + 7113 wrt c?\nAnswer: 1490527600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, g: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 - 5 = -2*f, -4*f - 4*w = -16. Let g(n) = n**3 - 2*n**2 - n - 2. Let r be g(3). Let c be -8 - (-8 - -5) - (-7 - 0). Solve 0 = f*l - r - c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 1946. Let u be v(0). Let s = 3208 - u. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - -558. Is 51 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 13 = 4*z, 8*n - 3*n = -2*z - 1. Suppose x + 3*q - 231 = -2*x, 0 = x + 4*q - 74. Let u = x + -76. Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 1:50 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -9. Suppose 4*j + h = 5*j. What is the third derivative of 2*m**2 - j*m**2 - 2*m**4 - m**4 - 7*m**4 wrt m?\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/7 or 9\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.645619406 + -1.6456. What is b rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121010122222 (base 3) to base 12.\nAnswer: -34b415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1596\/(-60))\/19*-1\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*((y\/(y**0*y))\/y)\/y*(y\/y**(-6))\/y*(y**(-2\/5))**(3\/4) assuming y is positive.\nAnswer: y**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 6*h**2 - 3*h - 1. Let w be (2\/6)\/(1\/9). List the prime factors of s(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/23 + 36*w**4\/23 + 6*w**3\/23 - 104*w**2\/23 - 72*w\/23 = 0. What is w?\nAnswer: -1, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33736 - -3?\nAnswer: 33741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 112.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 148, 135, 122, 109, 96, 83?\n\"Answer: -13*x + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 14*j**2 - 22*j + 16. Let y be w(-15). Suppose 0 = 2*c - 4*k - 146, k - y = -2*c - 0*c. Calculate the remainder when c is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266*z**3 + 11*z**2 + 4*z + 3119 wrt z.\nAnswer: -1596*z + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -28\/3263?\nAnswer: -28\/3263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j**2 + 10*j + 7. Suppose 8*p - 3*p - 30 = 0. Let r be k(p). Suppose -12*a = -r - 377. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5340*y + 6449*y - 15039*y - 15214*y)*(4 - 1 - 1) + (-2 - y + 2)*(1 - 3 + 4).\nAnswer: -58290*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 93 = -218 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41619.3001 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + (sqrt(684) - (sqrt(684)*-1 + sqrt(684))))*-3 + (sqrt(684) - (0 + (sqrt(684) - sqrt(684)*1))))**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/11 - 115252*b**3\/11 + 1671519746*b**2\/11 - 321028913904*b\/11 + 15517485688608\/11 = 0. Calculate b.\nAnswer: 97, 28716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 1. Let c be w(5). Suppose -6*h + c*u + 18 = -h, 0 = 5*h - 2*u - 14. Factor 0*z - 5*z**3 + 0*z + 8*z**3 - 2*z**4 - z**h.\nAnswer: -z**2*(z - 1)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*o = -21, 196*m - 197*m - 33 = 25*o for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 7. Let v be f(-10). Suppose b = 5*s - 3*s + 136, 0 = 5*s - v*b + 342. List the prime factors of 4\/6*s\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 - (-638*9\/18)\/1. What is the greatest common divisor of i and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:08 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1503)\/2004 + (-2*1)\/1.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 17*r + d - 1 = 25*r, 3*r - 5*d + 2 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -8729*u**3\/3 + 42*u**2 - 213*u. Let h be k(-2). What is h rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 + 0.2. Let g = -40 + 39. Suppose k - 2 = -k. Which is the closest to d? (a) k (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (1 + -6)) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77451 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445019840 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 11*h**2 + 2*h - 1. Let f be r(-2). Suppose -2*b - f = o, 5*o + 25 = -0*o. Let p = b - -24. Solve 0 = 3*j + p - 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3269?\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = i - 10, 5*i - 5*u = 0. Let v(x) = 16*x**2 + 2*x - 1. Let z be v(-2). Suppose i*w = -9 + z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 (base 8) to base 16\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*x**2 + 86\/15 + 28\/5*x.\nAnswer: -2*(x - 43)*(x + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 706 or -80?\nAnswer: 706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -36. Let y be (-3)\/(-9) + (l\/3 - -1). Suppose -a + 6 = -y. Solve -h - a = -3*g, 4*g = h - 3*h - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.01, 6, 9, -1\/6, -2 in decreasing order.\nAnswer: 9, 6, 0.01, -1\/10, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 7. Suppose 2*r = s*r + 3*r. Suppose -5*p + 21 - 6 = r. Solve -6 = -p*k - 0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116641320 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + 0.93. Which is the third biggest value? (a) -3 (b) z (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379 (base 14) in base 6?\nAnswer: -3115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737574179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (7 + (-3 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 0 - 4*l - 6. Is x(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 25667 = 5*h, 12*h - 10*u + 7*u - 61605 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*h + 5*p, 4*p = 2*h - 4*h + 40. Suppose -2*z + 7*z = h. Suppose 0 = z*o - 0*o - 44. What is the smallest common multiple of o and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000000101 + -100100001000000?\nAnswer: -110001001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 277926006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147)*4*3 + sqrt(147) - sqrt(147))\/sqrt(7))\/(sqrt(33)\/(-2*sqrt(275))))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 0.06, 0.4, 0.3, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5481, 11046, 16695, 22428, 28245, 34146, 40131?\n\"Answer: 42*a**2 + 5439*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 1:49 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5984 = 4*i - 0*o - 2*o, 0 = 4*i + 3*o - 5964. Let h = i - 533. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 1:51 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430 + 4?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4246 - 2346. Let w be (l\/(-6))\/((-11)\/26400). Round w to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = -0*y + b, -5*y = -2*b - 8. Suppose -r - y = -2*l - 14, -20 = 5*l. Solve 18 = r*g - h, -2*h + 16 = 4*g - 4*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.78522 millennia?\nAnswer: 33422.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.04 (b) 5\/2 (c) -7 (d) 1\/4 (e) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -11, -0.4, 2\/3 in descending order.\nAnswer: 2\/3, 0.5, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1455\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, 0.4, -4\/7, -20?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 34*x - 283. Let d be v(19). Solve -8*m + 6*m = -h + 12, -2*m = 4*h + d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/220)\/(2\/22). Suppose 2*i = -2*x + 2, 5*x - 8*x = -o*i - 8. Which is bigger: -3\/23 or i?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -5218*s**5\/5 + 2982*s + 947. Differentiate b(w) with respect to w.\nAnswer: -20872*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 19*v**2 + 263*v + 136.\nAnswer: -(v - 8)*(v + 17)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2244 + 200?\nAnswer: -2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -980a1 (base 14) in base 10?\nAnswer: -367837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 3*m**3 - 2*m**3 + (4*m - 2*m + 0*m)*(m**2 - m**2 + 2*m**2) - m**3 - 4*m**2 + 4*m**2 + 18*m**3 - 86 + 86.\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**(-2\/15)*h*h\/(h\/h**(-3\/7)*h))\/(h\/(h*h**20))**(-17) assuming h is positive.\nAnswer: h**(-35444\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*x - 862*x - 2878*x - 1873*x - 739*x.\nAnswer: -6109*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*a + 22, -k = -3*k - 2*a - 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 39.53. Let i = -0.07 + u. Which is the second biggest value? (a) i (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10688 (base 10) to base 16\nAnswer: 29c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -34*j**3\/9 + 13*j**2\/3 + 8*j\/3 - 550. Suppose m(s) = 0. Calculate s.\nAnswer: -4\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2 - 2?\nAnswer: c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 751. Let r(f) = -2*f**2. Determine c(r(u)).\nAnswer: 6*u**2 - 751","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/3)\/(4\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26487 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157205022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -100011000100010110011001011?\nAnswer: -100011000100010110011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 159, 827, 1553, 2337?\n\"Answer: 29*q**2 + 581*q - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(624\/36)\/(-52).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*j + 0*j**2 - 3*j**2 + 207*j.\nAnswer: -3*j**2 + 42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 166 + -2.0968\nAnswer: 163.9032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-4 + 231\/49)\/((-5)\/(-35))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, -2, 1, -491, -2170 in decreasing order.\nAnswer: 5, 4, 1, -2, -3, -491, -2170","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/24 + (-4)\/(-8) + -1)*-60. What is the highest common divisor of r and 5760?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4067363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 58674.50292 - -0.45\nAnswer: 58674.95292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (6 + 0 - 3 - 2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*a = 1256*a + 4607 + 34357 + 35326 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 + 85. Let v be 4\/(-63) - 6\/r. Which is the nearest to v? (a) 1 (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5938291.\nAnswer: 59, 100649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1264258 + -10100745\/8. Let r = n - 1667. Let h = 2429 - 12097\/5. Find the common denominator of h and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -270a9b (base 12) in base 7?\nAnswer: -5322434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6 = 3*s - 2*c, -3*s - 14 = -2*c. Let v = 20\/143 + 103\/286. What is the fourth smallest value in -2\/9, v, s, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1934 - -2432. Calculate the highest common factor of p and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 546.1 + -570. Let s = 23 + n. Let k = -0.7 - s. What is the third smallest value in 2, -1\/5, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241 + 255.6. Let q = a + -14.59989. What is q rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2314*g + 67 = -2309*g + 3*y, 0 = 4*g - 3*y + 49 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -378 (base 11) to base 16\nAnswer: -1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -257*t + 992. Let x be i(4). Let h(c) = 120*c**2 + 36*c + 36. Let a(d) = -17*d**2 - 5*d - 5. Give x*a(r) - 5*h(r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 79. Let g(f) = 42 + 50 + f**2 - o. Let v(x) = -3*x. Determine g(v(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 619373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -399 - -236. Let c = j - -167. Solve 8*m - c*m = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**6\/15 + 11*s**5\/4 - 1307*s**4\/12 + 322*s - 4. What is the third derivative of g(u) wrt u?\nAnswer: -48*u + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11671573?\nAnswer: 11671573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -1, -3 in descending order.\nAnswer: -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 + 433 = 91*r - 100 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 11. Let q be (t - 3) + -3 + -1. Suppose 0 = 2*w + 3*r + 5, 7 = q*w - r - 8. Is w greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -0.1, -16, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 46*g**3 - 15*g**2 - 5*g - 14. Suppose -2*k + 17 - 39 = 0. Let l be m(k). What is l rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 875*d + 878*d = -31, 60 = -5*m - 5*d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 12*j**2 + 2*j + 4. Let s(b) be the first derivative of -3*b**4\/4 - 23*b**3\/3 - 5*b**2\/2 - 9*b + 6410. Give 7*o(a) + 3*s(a).\nAnswer: -2*a**3 + 15*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*p + 6864 = -102*p + 284*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17374.\nAnswer: 2, 7, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1 (c) -1.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bujrsrzu. Give prob of sequence szr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5936710, 11873415, 17810120?\nAnswer: 23746825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 6. Let c be y(-4). Suppose 4*t = 5*l - 71, l + c*t - 2 = 1. What is the lowest common multiple of l and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401179709 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 1 + 0*n + n**3 + 9\/2*n**2 + 1\/24*n**4. Let w(j) be the second derivative of r(j). Give w(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 72, 0.3, -1\/4, 64\/3, -1?\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 205\/8 = 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - j**2 + 2*j**2)*(1 - 136*j**2 + 133*j**2 - 5*j - 11*j) - j**4 + 4*j**3 - 4*j**3.\nAnswer: 5*j**4 + 32*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 17 + 7 - 25.\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -1 - (-20 + (-5 - -32)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.007 - 27116081668.\nAnswer: -27116081668.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6849 divided by -2283?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.68 minus -3?\nAnswer: -105.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(35) - sqrt(35))\/(sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(28)*3))).\nAnswer: -13*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 8, -3.2, 800, -1, 11, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121.9389 micrograms to milligrams.\nAnswer: 0.1219389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 - 500 = -4*g. Suppose 10*u = 25 + g. What is the lowest common multiple of 20 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93038906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 407*k + 21*k - 16768 = -104*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 28*n. Suppose -9*y = 15 - 51. Suppose 16 - 4 = y*u. Let b(i) = -2*i - 2*i**2 - i + u*i. Give b(q(l)).\nAnswer: -1568*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2799885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-1*-3 + 4)**2*4*-2.\nAnswer: -17552 - 2112*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 83*j**5\/10 + 623*j**2\/2 + 100*j. Find the first derivative of k(a) wrt a.\nAnswer: 498*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*z + 626 = 0, 4*m - 3*z + z - 606 = 0. Calculate the lowest common multiple of m and (109 - 110) + 2 + 4.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193 and 100939.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 3*o**2 - 2*o**2 + (-5*o + o + 2*o)*(-1 + 1 - o))*(-26*o - 4 + 4).\nAnswer: -104*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -1 (b) 3\/8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/59)*g)\/(g\/g**(-15))*(g\/((g**(-10\/7)*g)\/g*g))**13 assuming g is positive.\nAnswer: g**(1461\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -23011121?\nAnswer: 23011130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-4\/17)\/z)*z**(-1\/48)*z assuming z is positive.\nAnswer: z**(2623\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 2. Let s be u(1). Let m be 0 - ((-1)\/1 + s). Suppose 150 = 5*r - m*r. Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n - 702 = -s, -4*n = 2*s - 1414. What are the prime factors of s?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -14. Let n be g\/((-56)\/12 + 4). Solve 2*j - 4*r + 15 + 13 = 0, r = n*j + 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 293210 and 538?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a = 15 + 7 + 44 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 202\/3. What is the closest to n in -2\/15, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 82*x**4 + 2*x**3 + 1 + 5*x**2 + 99*x**4 in the form h*x + v*x**2 + c*x**4 + z + l*x**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 125877 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 93 = -87. Let z be 2 + o - (12 - 15). Suppose w - 8 = 4*u, u - w = -4*w - 2. What is the third smallest value in -3, z, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171517900?\nAnswer: 2, 5, 23, 74573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i + 1. Let j(r) = -1 + 4*r + 3*r + 3*r - 5*r. Calculate -7*j(v) - 6*k(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1267090 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.38 + 0.08. Let w = -105 - -104.5. Put -5, w, l in descending order.\nAnswer: l, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 - -96.3. Let o = -8 - r. What is the nearest to 0 in o, 3\/4, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*0.105.\nAnswer: -0.03675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1303a5 + 2160?\nAnswer: -129245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155455 - 155455. Suppose 0 = -3*y + 3*n - 0*n + 6, -4*y + 2*n = -10. Which is the biggest value? (a) 1.2 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4468 is divided by 261?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 140*m**2 + 282*m - 264. Calculate the lowest common multiple of 24 and g(-72).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3006180*a**5 + 47199*a + 2.\nAnswer: 60123600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1.2. Sort f, -4, 1\/7 in descending order.\nAnswer: 1\/7, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -314987, -5, -7 in increasing order.\nAnswer: -314987, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13\/2, -0.1, 3, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 644.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -4 (c) 2 (d) 2\/3 (e) -0.2 (f) -1\/4606\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1137*w**3 - 987*w**2.\nAnswer: 6822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.079, 9, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/20 - m**3\/6 - 23*m. Let u be j(0). Is u greater than or equal to 1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 1\/6*t**3 + 8*t + t**2 + 0. Find the first derivative of m(j) wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.41*-1.\nAnswer: -6.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4313 - 4265. Solve -26*q - l = -10*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*24\/(-750))\/(10\/25*1)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -127 + -1?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/(-198) + (-22)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/15*5\/(-34). Let d = 1\/136 + a. Is -1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**2 - 4624. Let h(v) = 2041*v**2. Determine z(h(s)).\nAnswer: -4082*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 7*s**2 + 6*s - 11. Let a be j(-8). Suppose 4*q = -2*z - 22, 8*q - 44 = 4*z + 4*q. Let i = a - z. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38209*t**5 - 8*t**2 + 278924*t + 10?\nAnswer: 764180*t**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.50203 to 0 decimal places.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -5 (b) 4 (c) 0.5 (d) 98 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373\/(-796)*8\/(-45)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2800 + 14007\/5. Factor 12\/5*l - 1\/5*l**4 - 16\/5*l**2 + h*l**3 + 0.\nAnswer: -l*(l - 3)*(l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -0.3\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -32 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**4 + 21*s**3 - 6*s**2 - 6*s + 27. Let h(o) = -7*o**4 + 43*o**3 - 11*o**2 - 11*o + 53. Let w(l) = 6*h(l) - 11*t(l). Differentiate w(p) wrt p.\nAnswer: -36*p**3 + 81*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3173637 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v**2 + 19*v**2 + 453*v**2.\nAnswer: 523*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 803511*g - 803503*g - 208 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14123 - -15678?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 29\/14, -29\/298, -5 in decreasing order.\nAnswer: 29\/14, -29\/298, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*z - 10*z + 8*z)*(3 + 3 - 5)*(3*z + 2*z + 0*z) + 25*z**2 - 552 + 552 - 4*z**2 + z**2 + 2*z**2 to the form h*z + w + c*z**2 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 64*q**2 + 2*q - 40*q**2 + 90*q**2 + 3*q.\nAnswer: -14*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 58. Let q = 32 + w. Let z(p) = -2*p + 2*p + 4*p - 15*p**3. Let k(y) = 7*y**3 - 2*y. What is q*k(f) + 6*z(f)?\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*(-1070)\/15. Let q = i - -22. Let t = q - 69. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 3*t + 2*t - t - 4*t + 0*t + 3*t - 2*t + 4*t - 5*t + 0*t + (-1 - t + 1)*(2 + 5 - 5) - 6*t + 3*t + t + 3 - 3 - 4*t)*(-2 - 4*t**2 + 2).\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*4\/(-16)*-2. Let s = 183 + -179. Let -24*o**3 + m*o**4 - 8 + s*o**2 - 15*o**4 - 6*o**2 + 24*o = 0. What is o?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttn when three letters picked without replacement from {o: 8, t: 4, n: 2, a: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m = -8*y + 8, -10096 = -5*y - 3*m - 10091 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 55, 57, 43, 13?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 2*m - 20, -3*u + 36 = 3*m. Solve 3*r + 3*k - k = m, 0 = 5*r - 4*k - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:18 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by ((-1070)\/(-321))\/(5\/42)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 7, k: 3}. Give prob of sequence ccf.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5*f - 81, 5*t + f = -f + 154. Suppose 5*v - 3*v = t. Calculate the lowest common multiple of v and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17))**(1\/3) assuming j is positive.\nAnswer: j**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121\/408 - -4\/51. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/20*5\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3861 - -3029. What is t rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576754?\nAnswer: 2, 283, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (2*sqrt(42))\/sqrt(6))*-4 - (-1 + sqrt(847)*3 + sqrt(847) + (sqrt(847) - (-3 + (sqrt(847) - (sqrt(847) + 2))))))**2.\nAnswer: 1512*sqrt(7) + 27927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 8124716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {u: 7, q: 2, k: 4, s: 2, d: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -5507586\nAnswer: 881213.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 13233233120331?\nAnswer: 13233233120320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -307844259*t**3 + 749*t - 7036?\nAnswer: -1847065554*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4850.7kg?\nAnswer: 4850700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13b14 + -21?\nAnswer: 13ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.5. Is z less than or equal to -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/70)\/((-24)\/(-160))*131614\/(-159817).\nAnswer: 16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247 and 16206320.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8044 is divided by 200?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660398 is divided by 50797?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 555 and 41?\nAnswer: 22755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2775 = -5*c + 1495. Suppose 4*v - 2*k = c, 3*v - 4*v + 213 = -k. What is the tens digit of 18\/(-45) - v\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*3*-6 - 5*(sqrt(343) + -3))**2.\nAnswer: -4830*sqrt(7) + 181672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(125)*3 - sqrt(125))*4)**2 - ((-1*sqrt(125) + sqrt(125))*1 - (sqrt(125) - (4 + sqrt(125) + -2 + sqrt(125))**2)).\nAnswer: -196504 - 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21281.\nAnswer: 13, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 3*d + 135 - 183, -4*d - 176 = 13*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**5\/330 - 3*r**2\/2 + 2. Let q(y) be the second derivative of s(y). Factor q(z).\nAnswer: 2*z**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, -2\/9, -4, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.42326 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 408532638*g.\nAnswer: -3*g*(g - 136177546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2509 - 1254 - 2*h**3 - 1253 - h**2 - 28*h + 26*h. Let q(v) = v**3 + v**2 + 2*v - 1. What is 2*p(t) + 3*q(t)?\nAnswer: -t**3 + t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10786 + -10781. Solve 0 = -5*g - 4*m + 5, v*g - 24 + 29 = -2*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = -0*s. Let n(r) = -r**2 + 4. Let g be 2\/(-4) + 14\/4. Let u be n(g). Put 2, s, u in increasing order.\nAnswer: u, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 11:05 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11822 + -11806. Solve r - 6 = q - 2*m, 4*q - 19 = m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0048 - 6.6748. Let l = -6.18 - m. Sort l, -0.1, -4 in increasing order.\nAnswer: -4, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2. Let v(m) = -4*m + 2793. Determine s(v(a)).\nAnswer: -32*a**2 + 44688*a - 15601698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 4*g**3\/3 + 5*g**2\/2 - 2*g. Let f be ((-2)\/12)\/(25\/(-900)). Is y(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - f + 1. Let b(r) = -50*r**3 - 5*r**2 - 6*r + 6. Determine -b(i) + 6*x(i).\nAnswer: 50*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54201 and 2463?\nAnswer: 44499021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 23*v + 30. Let g be q(-18). Let j = g - 20. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3816784, 7633737, 11450690, 15267643, 19084596?\nAnswer: 22901549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19501*n**2 - 19502*n**2 + 2 - 2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-875)\/20))\/(30\/(-75)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3757 and 2171.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 23 = 34. What are the prime factors of q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -626292, -1252590, -1878896, -2505210, -3131532, -3757862, -4384200?\n\"Answer: -4*x**2 - 626286*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 3535*l + 28349. Give y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169 by -13542.\nAnswer: -169\/13542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/15)\/(-3*1\/(-10)). Let i be (-42)\/(-10) + c\/(-40). Solve -2*a = 4*p - 9*p + 8, 5*p + i*a = -16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 9432*x + 344736.\nAnswer: -4*(x - 2394)*(x + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 6) to base 4\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -463 divided by 6749\nAnswer: -463\/6749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19828095.\nAnswer: 3, 5, 7, 53, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6929594 and -108.\nAnswer: 74.8396152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9905\/283 + 9711\/(-208) + 12.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -48 + 19 - 72*f + 14 + 13. Let u(b) = -2*b. Determine u(c(i)).\nAnswer: 144*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 15*b**2 - 9. Let p be v(15). Let c = -5 - p. What is the common denominator of (42\/c + 1)*(-14)\/(-21) and -43\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 311.77, 3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/30)\/4*(-255)\/(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 + 342*p - 842 + 342*p - 681*p.\nAnswer: 3*p - 641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a - 58 = -3*l, 3*l - a = 38. Let v(o) = -3*o**2 - 39*o + 16. Let k be v(-13). Suppose 72 = k*j - l*j. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + (-105)\/(-28). Let h(d) = -d - 1 + o + 1. Determine h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2100*b**4 - 6*b**3 + b - 1446. Let z(v) = -4202*v**4 + 11*v**3 - 2*v + 2892. Let m(f) = 11*j(f) + 6*z(f). Differentiate m(i) with respect to i.\nAnswer: -8448*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -0.5, 0, -1267, 1, 10.3.\nAnswer: -1267, -3, -0.5, 0, 1, 2, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -280, -572, -864, -1156, -1448?\n\"Answer: -292*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 + 2*h - 14. Let t be m(8). List the prime factors of (-1 - (14 + t))\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -2*a + 4*b, -a - 4*b = 0. Sort a, 4, 3.\nAnswer: a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 12*c - 18. Determine z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (0 - 1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 249 = -v - 50, 3*w + v = 451. Suppose 9*t - 4*t - w = 0. Suppose -27*j**2 + 0*j - 9*j + t*j**2 = 0. What is j?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9114108, -18228219, -27342330, -36456441, -45570552, -54684663?\nAnswer: -63798774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5231 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -551867, -1103876, -1655885?\nAnswer: -2207894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9315*s = 10433*s + 70434 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100912 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0698338147 + 231.\nAnswer: 231.0698338147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -433090.09997 - -433093. Let l = 2.9 - z. What is l rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270.6196 - -0.0804. Round k to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -17*q - 293. Let y be z(-17). Which is the closest to -2\/3? (a) -3 (b) 0.06 (c) 4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29\/2 (b) 0 (c) 0.2 (d) 0.4 (e) -83 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228378786 - 242*x - 228378786 - 237*x + 715*x - 238*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-5)*(-26)\/(-55). Suppose -7*m + 11*m - 2*o - 1000 = 0, 0 = 4*m - 4*o - 1008. Let x = m + -246. Which is greater: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -360.7 - -361. Let m = -89.2 - -89. Which is the closest to -2\/7? (a) i (b) 4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:10 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, 36, 105, 202, 327, 480, 661?\n\"Answer: 14*a**2 - a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33803000 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 o(i) be the second derivative of -4*i + 0 + 1\/6*i**3 + 37*i**2. Is o(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1 - 5*u + 5*u - 3*u + 2*u. Let f(c) = -c. Calculate -d(a) + 4*f(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(1800)*-5 - sqrt(1800) - (sqrt(1800) + 1 + -5)) + ((sqrt(1800) + -2 + sqrt(1800) + -1 - sqrt(1800)) + -1)*-1)**2.\nAnswer: -10140*sqrt(2) + 304369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 13*o - 76 = 0, -5*d + 62*o - 65*o + 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i + 0)*(-1 - 3 + 3)*((56 - 56 - 9*i)*(-18 + 7*i**2 + 18) + (-i + 5*i - 2*i)*(3*i - 4*i + 3*i)*(7*i + 8 - 8)).\nAnswer: 35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 443183 and 146.\nAnswer: 886366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfo. Give prob of picking 1 o and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -4762?\nAnswer: -4760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-462)*(-10)\/100*35?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1050, -2163, -3280, -4401?\nAnswer: -5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/3 + 3470*h + 871200 = 0. What is h?\nAnswer: -240, 5445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/489 (b) 0.05 (c) 776\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-4))\/(6251\/(-32148)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**3 - 2*t**2 + 1. Let f be l(1). Let i = -7 - f. Suppose q = 3*g, 2 = -2*q + 5*g + i. Solve -q*w - 10 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Let r = 0.024 + 0.976. Which is the nearest to r? (a) 3 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459296789.\nAnswer: 7, 65613827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*y + y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = 4. Let f(w) = 2*w**2 + 3*w - 2. Let d(z) be the first derivative of z**3\/3 - z - 1516. What is q*f(n) + d(n)?\nAnswer: -n**2 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 0 + 4*u - 5 - 2 + 9. Let i(t) be the first derivative of 11*t**2\/2 + 5*t + 4. What is 3*i(f) - 8*s(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655*a = 646*a + 18. Solve -5*h = 2*l - a*h - 5, 0 = l - 3*h + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, -4, -482, 3, -1.\nAnswer: -482, -240, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126.821 + 0.179. Let l = z - 127.04. What is l rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -114. Let h = a - -68. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -91*f**3 + 21*f - 21. Let l(c) = 9*c**3 - 2*c + 2. Suppose 7*z + 65 = 51. Let p be (3 + z)*4 + -6. Determine p*q(n) - 21*l(n).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 2 in increasing order.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36624, -74189, -111754, -149319, -186884, -224449?\nAnswer: -262014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 + -65?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 85560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22566*f**3*g**2 + 1532*f**3 - f**2*g wrt g.\nAnswer: -45132*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -31540?\nAnswer: -31535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42766, 42737, 42694, 42631, 42542?\n\"Answer: -r**3 - r**2 - 19*r + 42787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 + x + 2. Let j be f(0). Suppose -j*z + 2 = -2. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g + 191. List the prime factors of p(12).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*x = 6, g - 10*x + 5*x + 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117263364 to the power of 1\/2, to the nearest integer?\nAnswer: 10829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/16 - 41\/144. Put -0.3, z, 0.1 in descending order.\nAnswer: 0.1, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k + 0*k**3 - 5*k**2 + 5709*k**4 + 2*k**3 - 2 - 5708*k**4 + 0*k in the form h*k**4 + q + b*k**2 + t*k + x*k**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41252, 41247, 41240, 41231, 41220, 41207?\n\"Answer: -d**2 - 2*d + 41255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnhn when four letters picked without replacement from {v: 1, x: 1, n: 4, h: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88089863 is divided by 33418.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -15*r**2 + 70*r - 55 = 0.\nAnswer: 1, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 831983 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*d**2 + 599*a*d**2 + 17*a + 1030*d**2 - 5*d - 1 with respect to a.\nAnswer: 6*a**2*d**2 + 599*d**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by -12.\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 648344494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 21*k + 2. Let o = 53 - 42. Is 28 a factor of q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skckkmeskebeskkekksk. Give prob of sequence bs.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 57*k**2 + 965*k - 28026. Give v(23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 4*w)*(-w - 3 + 3 + (1 - 3 + 1)*(-79*w - 186*w - 129*w)).\nAnswer: -786*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/114 and -91\/608?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304954*0.3.\nAnswer: 91486.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 12. Let c(g) = -g - 1. Let o(q) = 6*c(q) + j(q). Let m be o(6). Let t be (m\/(-6))\/(1 + 0). What is t rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3092 divide 988781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196709410 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19391*d*n*v**3 + 5*d*n - d + 14*n*v**3 + 11*n - 1972 wrt v?\nAnswer: -58173*d*n*v**2 + 42*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - ((-7)\/(-49) + 146\/(-42)). Which is smaller: -18 or w?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828666667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*n**2*s - 28*a*n**2 + 3*a*n*s - a*s + 14493*a - 373*n**2*s wrt n.\nAnswer: 4*a*s - 56*a - 746*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(5)*1*-3))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35608 - -177007\/5. Let p = -206 - l. Which is the third biggest value? (a) -3\/5 (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5021 less than 7.044?\nAnswer: 5028.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -403696048 divided by 37.\nAnswer: -10910704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/7 - 1296*i**3\/7 + 11478*i**2\/7 + 15376*i\/7 - 25560\/7 = 0. What is i?\nAnswer: -2, 1, 10, 639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhwjhwfyhwyhhwwhyw. Give prob of sequence ywj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 9 + -9 - 10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-12) - 112\/(-12). Let s = g - 8. Let u = 5 + -5.3. Put 5, u, s in increasing order.\nAnswer: u, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*u + 197*u + 27 = 0. Let t(y) = y**2 - 10*y + 9. Determine t(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) - sqrt(200)*-4) - (sqrt(2) + sqrt(4)\/(sqrt(2)*-4)))*6.\nAnswer: -489*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (0 + sqrt(55)\/sqrt(5)))**2 + 5)*2 + -3)*5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:08 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24448 and 410528.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5528?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.2, 0.1, 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k**3 - 117*k**3 + 47*k**3 + 34*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/28)\/((-1340)\/4690)*(-1960)\/(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-5)*140\/56. Let d(q) be the first derivative of 1\/2*q**y + 0*q - 4\/3*q**3 + 1. What is the second derivative of d(h) wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xfaxida?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/3 - 295*y\/3 + 190.\nAnswer: 5*(y - 57)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -611.61 - -607. Let x = r - -143.91. What is x rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/133 - 7199476\/59812\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/3 + 702913*z\/6 - 29288 = 0.\nAnswer: 1\/4, 175728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 645bc01 + 3?\nAnswer: 645bc04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12875*b = -12875*b + 4*j + 20, -10 = 20*b - 2*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12*(45\/(-2))\/(-5). Let q be w\/140 - (-2)\/7. Which is the smallest value? (a) -2\/9 (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4786 - -4830. Solve 5*s = -j + 14 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 13*f**2 + 17*f**2 - 14*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 + 0*s**2 - 2*s**2 + 3*s**2 + 2*s**2 - 3*s**2 + (0 + 0 + 2)*(-2*s**2 + 0 + 0) + (0*s - 5*s + s)*(-2*s - 2 + 2) + 0*s + 0*s + 3*s**2.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231214 (base 5) in base 15?\nAnswer: -7159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k. Let r(w) be the second derivative of w**4\/12 - 12*w. Determine y(r(t)).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 11501.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -291, -618, -1085, -1698, -2463, -3386, -4473?\nAnswer: -5730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860821277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 + 10*a**3\/3 - 6*a**2 - 6*a - 6552. Give u(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -885349.461151 and -4.\nAnswer: -885353.461151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 0.2 (b) 7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67984 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: Is 10471613417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g + 5. Let r(l) = 19*l - 4. Determine 4*p(c) + 5*r(c).\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003072406 to seven decimal places.\nAnswer: 0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/169)\/((-48)\/6). Let b = y + 17869\/6084. What is the common denominator of -41\/10 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4 + 2. Find the first derivative of o**3 + 5*o**3 - 3*o**3 + 1 - j*o**3 wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:50 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 149, 301, 457, 611, 757?\n\"Answer: -b**3 + 8*b**2 + 135*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 10) + 0 + (-1 - -86). Solve -73*b = -h*b - 35 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52633, 210374, 473275, 841336, 1314557, 1892938?\nAnswer: 2576479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15367 divided by 11\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 1, n: 1, d: 5, u: 1}. Give prob of sequence wn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.94491 nanograms to grams.\nAnswer: 0.00000000794491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1719, 3660, 5827, 8226, 10863, 13744?\n\"Answer: w**3 + 107*w**2 + 1613*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r = 8. Find the second derivative of -r*v - v**2 + 3*v + 4*v**2 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -13*z - 53 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/247430 and 117\/1054030?\nAnswer: 239264810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 37*l - 3. Let r(n) = -n. Calculate g(r(q)).\nAnswer: -37*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032312 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 30*q - 6. Let t(v) be the first derivative of -v**3\/3 - 3*v**2 + v - 81. Let i(y) = 3*b(y) + 14*t(y). Find l, given that i(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12*x. Let i(s) = -102146*s**2 + 7*s. What is t(i(b))?\nAnswer: -1225752*b**2 + 84*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006935181 to five dps.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*h = -102 - 355 - 101 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3, 3*q - 5*o + 18 + 1 = 0. Suppose -4*j - 5 + 9 = 0. Let p = j - q. Calculate the greatest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377723?\nAnswer: 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*i + 149*i + 50*i - 4410 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 times -0.03906?\nAnswer: -0.0339822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (5 + -5)) + -1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 15360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1177 - 1177 + 186*c.\nAnswer: 186*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 3. Let j(a) = -a + 2. Let d(z) = z**3 - 9*z**2 - 11*z + 7. Let h be d(10). What is h*g(y) + 5*j(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and ((-48)\/(-32))\/((-30)\/41224)*(0 - 5)?\nAnswer: 51530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*l = 666930, 0 = 4*g - l - 4*l - 1333860. Let h = g + -529465. Round h to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmtttmmmtmmttmtmmm. What is prob of sequence tmmm?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 - 186450*a**2\/7 + 372906*a\/7 - 186454\/7.\nAnswer: -2*(a - 1)**2*(a + 93227)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000000000011010110 + -110?\nAnswer: 100000000000011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = 4*m. Suppose -4*u - 5*v = -11, m*u + 0*v = 4*v + 24. Let n = 7 + u. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8246170?\nAnswer: 2, 5, 163, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341813 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 178 - 176.05. Round g to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -n + 50 + 34, -2*f + 4*n = 160. Let s be (4\/16)\/((-2)\/f). Solve 4*r = -s + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233\/40 + -3\/8. Find the common denominator of (-19)\/((-3)\/6 + 2) and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 8. Let k(o) = 3*o**2 - 6*o - 109. Let z be k(-6). Solve 0 = -5*h + 3*p + 36 - 11, -f*p = -5*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/12)*(p\/(p**(-13\/2)*p))\/p)**39)**(17\/4) assuming p is positive.\nAnswer: p**(15691\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65742205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 15*c + 76. Let p be (176\/3)\/(3\/9). Suppose 3*v - 4*v = 4*k - 226, p = 3*k + 4*v. What is the remainder when k is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831 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 a(w) = -71*w. Let v(l) = 770*l. Let t(f) = 65*a(f) + 6*v(f). Let k(h) = 5*h. Give t(k(j)).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y - 167 = -t - 257 - 453, 159 = -3*t + 5*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2608164163963 + 37\nAnswer: 2608164164000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 10*l + 6. Let d(q) = q**2 - q + 1. Let u(f) = -6*d(f) + y(f). Find the second derivative of u(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-7))\/(((-88)\/40)\/(-11)). What is the third smallest value in -2\/5, -2, 1, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 17*j**2 + 18. Let k be z(17). Let n be 4\/k - (8214\/27 - 1). What is the tens digit of (-4)\/18 + 0 - n\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4391972, -4391969, -4391966, -4391963?\n\"Answer: 3*s - 4391975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (-4 + sqrt(320) + sqrt(320)))*6*-2 - -5*(sqrt(320) - (sqrt(320) + -4 - sqrt(320))*-3))**2 + 4.\nAnswer: -29376*sqrt(5) + 104148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220206.\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4108548?\nAnswer: 2, 3, 342379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342655612 is divided by 861?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 152679874 to the power of 1\/3, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - s = -716, 5*s - 1053 = 3*p - 341. Let n = -2632\/11 - p. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/43617 and -40\/81.\nAnswer: 1177659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1693*r + 193334 - 316923 for r.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*(-3 - 0). Suppose -2*r + 4 = f + 3*r, 2*f - 56 = 2*r. What is the greatest common divisor of s and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -96, -146, -196, -246, -296?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a8b - 18a?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + x - 2. Let g be t(-5). Let r = -104 - g. Suppose -j + 108 = b, 5*b - 172 = -r*j + 154. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 6*m - 3. What is the units digit of v(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10807*l**2 - 297*l + 19531470?\nAnswer: 21614*l - 297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from aoaaaooaoaaoaaiaa?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-107)\/14 - (0 + -2) and (-14)\/(-40)*180\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12128 plus -4.9?\nAnswer: -4.77872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**6\/6 - x**4\/3 - 5*x**3\/3 + x**2 + 3*x + 11. Find the second derivative of y(k) wrt k.\nAnswer: -60*k**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/43585 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j + 0*j**5 + 3\/2*j**2 - 4*j**6 + 0*j**3 + 1\/4*j**4 - 2. Find the second derivative of p(g) wrt g.\nAnswer: -480*g**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 3*l + 0*l + (0*l + 4*l + 3*l)*(3 - 5 + 4) - 2*l + l + 2*l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -21*l + 1. Let q(t) = -7*t. Let n(o) = 8*q(o) - 3*w(o). Suppose -k + 5*k = 3*h + 6, 0 = 3*k + 3*h - 15. What is the tens digit of n(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27134000 rounded to the nearest 100000?\nAnswer: 27100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/4 - 2597*b\/2 + 5195\/4 = 0?\nAnswer: -5195, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -481061 + -2?\nAnswer: -481063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 7. Solve 4*o - 2*b = -b - 17, 2*o + k = 3*b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 30. Let l(h) = -h**3 + 12*h**2 - 26*h - 2. Let r be l(9). Let z be k(r). Do z and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h - 0. Let n be h\/2 + (1 - -5). Solve 0 = n*j - 4*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 948 = 4*a, 3*z - 108 = 2*a + 374. Let j = 376 + a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/7 + 31*y**4 + 11661*y**3\/7 - 12317*y**2\/7 - 23762*y\/7 = 0.\nAnswer: -109, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**16)**(-2\/39)*j**(2\/35)\/(j*j\/(j*j**(-1\/53))*j) assuming j is positive.\nAnswer: j**(-201281\/72345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -1.7. Let d = 0.05339 + 3.94661. Put 0.2, x, d, 2 in decreasing order.\nAnswer: d, 2, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 43778*q - 393933. Give d(9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60912 by -20304.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 + 359742*q**3 + 3237840*q**2 + 9713682*q + 9713763 = 0. What is q?\nAnswer: -3, 119923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 224\/(-84)*6\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-6))\/((-1)\/(-3)). Let h = -11 - -17. What is the third derivative of -j**6 + 2*j**h + 3*j**2 - j**u wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 206 = -67. Calculate the greatest common divisor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 25*g - 51 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160812044.17999838 + -160811579.18. Let y = v + -465. What is y rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -224, -336, -448, -560?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-1\/3)))\/(c**1*c*c))\/(c*c**(-1\/3)*c*c**1) assuming c is positive.\nAnswer: c**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -5*l. Let q(i) = -9*i**2 - 2*i**l - i + 10*i**2. Let o(f) = 6*f**2 + 6*f. Determine -4*o(k) - 22*q(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1698 + -1710. Sort 1, 19, g, -3 in increasing order.\nAnswer: g, -3, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*l = -305*l + 781 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-6)\/210*70\/(-7)*1\/(-82)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3591?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2 + (5 - 3 - 3)*(4 - 1 - 1) + 3 + 2 - 2)*(4*q - 2*q - q) to the form v + m*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/23 + 1232*o\/23 = 0. What is o?\nAnswer: -616, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1 - 0\/(-1)). Let q(m) = 2*m - 3 - t - 18*m - m**2. Is q(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 573 + 6037?\nAnswer: 6621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7192a - -48?\nAnswer: -718c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0491? (a) -3 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34130023 - 300?\nAnswer: 34124223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 5. Let d be b(0). Suppose -4 = -2*i - 3*i + 3*y, d*i - 12 = -y. Solve 7*x - i*a = 2*x + 20, 4*a = -x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*v - 16*v**3 + 21*v**3 - 4*v**2 + 23*v**3 + 2*v**5 wrt v?\nAnswer: 120*v**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -356, 0.3, 1, -4, -9.3, -3, -1 in descending order.\nAnswer: 1, 0.3, -1, -3, -4, -9.3, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*q + 2 - 29*q - 22*q - 108*q**2 - 19*q**3 + 108*q**2 - 3*q**4 to the form p*q**4 + u + z*q**3 + c*q**2 + m*q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -141 + -7?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(171) + sqrt(171) - sqrt(171)) + 4 + sqrt(76)\/(sqrt(12)\/sqrt(3)) + 0 + sqrt(1216))**2 + -2)*-4.\nAnswer: -11036 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.91 + 92.11. Which is the biggest value? (a) -5\/2 (b) u (c) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21473 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -545037 + 497073659\/912. What is the common denominator of 97\/1254 and r?\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*s - 979 + 979)*(s + s - 5*s).\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.9, 19, 63, 0.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2 + 603\/4824)*84\/(-9)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 108913.\nAnswer: 108915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 4*s**2 - 13*s. Let j be i(6). Let k(a) = -a**3 - 6*a**2 - 9*a - 50. Let p be k(j). Solve -p*u - 6 = -c + 2, 11 = -u - 2*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 8*f**3\/3 - 12*f + 113. Suppose -2*a + 36 = 2*z + 2*z, 0 = -2*a + 4*z + 12. Let b(x) = x**2 - 1. What is a*b(t) - q(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from omsoooooos.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -242.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001405 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 - 484*j**3 + 43413*j**2 + 3851542*j + 7525544.\nAnswer: (j - 269)**2*(j + 2)*(j + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2191 * -36.4.\nAnswer: -79752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -360*f**2 + 173*f**2 - f + f**4 + 1 + 177*f**2 to the form o*f**3 + y*f**2 + g + l*f + z*f**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 147878, 147800, 147670, 147488, 147254?\n\"Answer: -26*r**2 + 147904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) 1\/2 (c) -4 (d) -2\/5 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from zzzfffzzzfzffzzffffz.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 + 4*j**4 + 68*j**3 - 84*j**2 - 288*j + 432 = 0 for j.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 46*g - 16 - 67 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 7707\/266)\/(4\/19).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -39, -29, 27, 153, 373?\n\"Answer: 4*h**3 - 13*h**2 - h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 28*k + 13939 = 14*k. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 100477118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32983840 less than 32983844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043153 rounded to 6 decimal places?\nAnswer: -0.000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 11) + -5 - -9) + (26 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50.3376 and -0.114.\nAnswer: -5.7384864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/10)\/(9\/15). Let i(v) = -2*v - 4. Calculate i(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1559, 3110, 4657, 6200, 7739, 9274, 10805?\n\"Answer: -2*h**2 + 1557*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -20*q + 24*q - 7080628, q = -4*n + 1770157. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237.000002544 - -237. What is v rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -135, -87, 227, 939, 2181?\n\"Answer: 22*o**3 + o**2 - 109*o - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f - 7. Let z be (12 - 11)*(2 + -1). Let p be 3 + 1*(-9)\/z. Give l(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 3*d**3 - 3*d**3 + (-12 + 12 - 18)*(3*d**3 - 4*d**3 + 3*d**3).\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7108 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -504, -1066, -1622, -2172, -2716, -3254, -3786?\n\"Answer: 3*b**2 - 571*b + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 - 167. What is the remainder when y is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1\/4 (c) -212 (d) -2\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246780 or -247135?\nAnswer: -247135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -29\/6, 37, 165, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60.8 + 56.8. What is the closest to 0 in y, -2\/3, 2, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*l - 66 = -19*l - 9, y - 4*l = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007041 to five dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 32 = -4*v, -3*v - 35*h = -33*h + 1. Suppose -w - 3*b - 13 = 0, 12 = -3*w - v*b + 3. Solve 8 = -4*f + 5*l, w = f - 3*l + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*k - 8 - 15, 3*v = k + 29. Suppose v = 5*z - 64. Calculate the highest common factor of z and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/15 + 14*p**4\/3 - 1244*p**3\/15 + 416*p**2\/15 + 3648*p\/5 + 3072\/5 = 0.\nAnswer: -48, -2, -1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/f*f**(-6) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 152*j + 2947. What is o(38)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*m + 14*m + 11960. Are m and -98 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3601142 and 3601109 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.020066 to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**7\/14 + 7*a**6\/5 - 147*a**5\/20 + 35*a. Let h(c) = 0. Calculate c.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*s**4 - 6*s**3 - 74*s**2 - 2*s + 130722?\nAnswer: 52*s**3 - 18*s**2 - 148*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n - 9. Let p(i) = 273*i - 156. Determine 52*o(q) - 3*p(q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -35, 3 in decreasing order.\nAnswer: 3, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 1 - -8 - -11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 - 26*g + 15. Calculate v(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhohhhhhhhho. Give prob of sequence hooh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251 + 248. Let i(h) = h**6 - h**3 - h**2. Let k(v) = 21*v**6 + 6*v**3 + 64*v**2. Let c(o) = s*i(o) - k(o). Find the third derivative of c(g) wrt g.\nAnswer: -2880*g**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/37 greater than 31\/4298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 69*n - 897. Calculate c(-20).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4713.40984 rounded to the nearest 10?\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 31151?\nAnswer: 31121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174993*y**5 + 47*y**2 - 100170432*y?\nAnswer: 3499860*y**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*p - 15, a + 66 - 63 = p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 + 197644*j + 4882893842 = 0. Calculate j.\nAnswer: -49411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*z = 236471, 166*z + 118233 = 2*a + 165*z. What are the prime factors of a?\nAnswer: 2, 11, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*w**2 + 11*w**2 + 348*w**3 - 345*w**3 wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5\/7 - 32*f**4\/7 - 26*f**3 - 56*f**2 - 32*f\/7 + 640\/7 = 0.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 - 217. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51.6 - -53. Which is the closest to l? (a) -1 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(22) - -5*-2*sqrt(22)))\/(-2*((sqrt(44)\/sqrt(4) - sqrt(11)) + sqrt(11)) + sqrt(44)\/sqrt(4)*-1).\nAnswer: -2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-812394)\/110 - -2)*-5.\nAnswer: 19, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1 + sqrt(432))**2*-6 + (-1*3*sqrt(432))**2.\nAnswer: -6486 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122350685?\nAnswer: 5, 23, 1063919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1401847, 1401928, 1402009, 1402090?\nAnswer: 1402171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45468062*j**3 - 50770458*j wrt j.\nAnswer: 272808372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75183826 divided by 46.\nAnswer: 1634431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112539537.\nAnswer: 457, 2434441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 513 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509417675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 3, 370 in descending order.\nAnswer: 370, 3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2477 = -6*m + 8131. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3853 - 193 = 0. Suppose 5*x - 2*v - 35 = 0, 2*x - 4*v - 45 = -3*x. Suppose -5*a = 4*u - 639, -a = x*u - 194 - w. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 14. Suppose -4*m - 15 = m, -o = -f + 2*m. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + 0.7. Let r = x + 1.65. Round r to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g**2 - 8*g - 2. Let i be a(-1). Let s(t) = -t**3 - 2*t**2 + t. Give s(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-792)\/165*25\/(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269 - 34*r - 10*r + 273 to the form y + b*r and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32497115 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11934 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - (1 - 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m = -49*m + 992. Let s = -56 + m. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 223.6496 and 0.3.\nAnswer: 67.09488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 equal to 2031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6077*k**2 + 6082*k + 23. Calculate i(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3 + 28*y**2 - 120*y = 0. What is y?\nAnswer: -10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12584*f**3 - 277*f**2 + 542*f**2 - 265*f**2 + 2*f.\nAnswer: 12584*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p - 114 + 18*p - 25*p + 26*p + 36*p. Let r be q(2). Solve 4*t + 4*n + 7 = 19, 0 = -2*t - 3*n + r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4891 - -29311\/6. Let c = -41\/6 - -37\/6. Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 762481990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11707, -11708, -11709, -11710, -11711, -11712?\nAnswer: -11713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60197400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*7\/35 - (-25)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240128.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876791?\nAnswer: 3, 7, 89371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 5*v + 7. Let j be d(7). Let f = 20 + j. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 + 12*u - 8. Let f(z) = -10*z + 6. What is 4*f(g) + 3*y(g)?\nAnswer: -6*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 6\/11, 0.5, -8859, -1\/4, 2\/11, 0, -0.8?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6363 and -17\/10908.\nAnswer: 76356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 1. Let m = 1 + -2. Let u(o) = -2*o**2 - o + 3. Let f(x) = m*u(x) - d(x). What is the remainder when 5 is divided by f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36516733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*h + 95203, -4*a + 95208 = -3*h - h. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21202079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-4))\/(((-63)\/(-21))\/(-3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-18)*(-6)\/(-4). Suppose 5*r - 4*j = 15, -3*j - 3 = -a*r + 3. Find the first derivative of -1 + 0*x**3 + 3*x**3 + 2*x**3 - 2*x**r wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -20*n**2 - 17*n + 1. Let c(k) = 7*k**2 + 6*k. Let a(d) = 8*c(d) + 3*t(d). Let w = -27 - -31. Let v(h) = 4*h**2 + 4*h - 4. Give w*a(m) + 3*v(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h*h\/h**(10\/9)))\/((h*h*h**(1\/4)\/h*h)\/h*h))\/((h**(1\/16)*h)\/h*((h\/((h**(3\/4)\/h)\/h))\/h)\/h))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 14*o**2 - 34*o - 233. What is v(-8)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than 39?\nAnswer: 38.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -313819.\nAnswer: -313818.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/((-605)\/671) + (-8)\/(-10). Let b(l) = 11*l - 1. Let u be b(6). Calculate the greatest common factor of s and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-4*4\/(-16)*108\/12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*t*t\/(t\/t**(-15)))))\/t**(6\/7))\/(t**(-1))**19)**(-2\/5) assuming t is positive.\nAnswer: t**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 927*w**3 - 7*w**2\/2 + 3*w - 21. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16146536 - 264?\nAnswer: -16150133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.865294 minutes?\nAnswer: 51.91764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/5 + 516*f**3\/5 - 13854*f**2\/5 - 765344*f\/5 - 1471176\/5 = 0. What is f?\nAnswer: -278, -27, -2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2960338 to the power of 1\/2, to the nearest integer?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 702, 5787, 19594, 46485, 90822, 156967, 249282, 372129?\n\"Answer: 727*n**3 - n**2 - n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i - 28. Calculate the smallest common multiple of ((-2)\/i)\/(17\/748) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13108 minus -3767392552?\nAnswer: 3767379444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*r - 30 = -5*y, 3*r = 15. Suppose y*a + a = 16. Suppose 0 = -s - a*z + 9, 0*z = 4*s - z - 87. Is s 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 ksksckskc. What is prob of sequence cck?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6489 + -6474. Solve -j*t + 29 = -16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - 2*j)*(-3 - 4 + 4) + j - 2*j - j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 1172265.\nAnswer: 10550385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**2 + 1154*k - 28848 = 0?\nAnswer: -601, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520687.\nAnswer: 43, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3 + 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -89?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 207?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h**(-9)*h*h*h)))\/h*h*((h\/h**(-6))\/h)\/h*(h**(-1\/6))**(-3\/16) assuming h is positive.\nAnswer: h**(33\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 - 3*c**3 + c**3 + (4 - c - 4)*(236*c**2 + 178*c**2 - 77*c**2) as u + v*c**2 + k*c**3 + r*c and give k.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 12. Let c be r(-4). Let x(q) = -1 - q - c + 2 + 11. Give x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 0.023, -3, 3\/2, 62, -0.2, -4?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - q**2)*(-q - 5*q + 3*q) - 5*q**2 + 22 + 12*q - 2*q**3 - 26 + 7*q**2.\nAnswer: -8*q**3 + 2*q**2 + 12*q - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-2 + 3 + sqrt(13))) + sqrt(13) - -1*(sqrt(13) + 0).\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1334954424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*y - 26625 = 1926*y + 28351 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 28 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 80?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0\/3*(-9)\/27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 904289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*v - 3195 = 369*v + 738 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/22393656 and -97\/91440?\nAnswer: 223936560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 1. Let g(c) = -153*c + 117. Determine 702*d(j) - 6*g(j).\nAnswer: -486*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvz when three letters picked without replacement from {z: 4, g: 3, u: 4, v: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119460 and -1?\nAnswer: 119460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*m + 413*m**3 - 88*m.\nAnswer: 413*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -6. Suppose 3*f - 4*f = -4*n + 18, -w*f + 15 = n. Find the second derivative of 2*m + 2*m**n + m - 6*m**5 wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-69)\/23)\/(((-6)\/8)\/1). Suppose 4*m**s + 8*m**3 + 0*m**3 - 2*m**5 - 30*m**2 + 14*m**2 = 0. What is m?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122 (base 5) to base 6.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 659422750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 5090774590299.\nAnswer: 5090774590295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) + (-200)\/(-90). Suppose 5*r = 5*s + 20, -5*r = o*s - 0 - 20. Let j be (s - -10)*2\/25. Which is the smallest value? (a) -0.4 (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-1 + 4 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 89?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 801*u - 75304. Determine p(94).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192.938 centuries in decades?\nAnswer: 21929.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 - 7*w + 46)*(w + 0*w - 4*w + 1) as x + d*w**2 + z*w and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-8))\/((-22)\/4))\/((992\/(-192))\/(-31))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*n**2 - 762*n + 762*n to w*n + r*n**2 + u and give r.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 351*b - 757. Determine o(-109).\nAnswer: 1859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2*sqrt(300) - sqrt(300) - sqrt(300)) + -5 + sqrt(300) - sqrt(300))*-2 + -4)**2 + -2.\nAnswer: 43200*sqrt(3) + 482914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5478 + 5478.11. Suppose 4*x = x - 9. Let w = 2 + x. Which is the closest to d? (a) 0.1 (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 3:00 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 8. Let t be 2\/3 - (-10)\/(-15). Suppose -3*g + 22 - 7 = t. Solve -b*d + 8 = -g*h, -1 + 21 = -2*h - 4*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 4*x + 604 = 6*z, x - 1 = 0. Let o = 1522\/5 + z. Solve 0 - o*n - 2\/5*n**2 = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 4, 0, -0.1, -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(0*c - 2*c + 0*c) + 13*c + 22 - 30*c + 15*c + (7 + 25 - 6)*(2*c - 4*c + 0*c).\nAnswer: -56*c + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(3*2\/12). Let h = -4 - g. Find v, given that -5*v**5 - v**4 + 2*v**h + 6*v**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -18. Suppose -x*u + 3*y = -1046, 2*u + 4*y - 135 = 377. What are the prime factors of u?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306725 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -58, -36, 40, 188, 426, 772, 1244?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = n + 20, 27 - 7 = 2*g + n. Let z(t) = -29*t - 4 - t**2 - 24*t + 3 + 61*t. Let k be z(g). Is k equal to -3\/40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(2178)*-2)*-4)\/(4*(sqrt(9) - ((sqrt(18) - (sqrt(72)\/sqrt(4) + sqrt(18)))\/sqrt(2) + sqrt(9)))).\nAnswer: -23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t - 40. Let p be d(3). Determine u, given that -u**5 - 21*u**4 - 14*u**2 + 26*u**2 - 8*u**p = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y**3 + 2 + 0*y**2 - 1\/22*y**4 - 1\/110*y**5 - 13*y. Let g(m) be the first derivative of d(m). Find k, given that g(k) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4*v**2 - k**3*v**2 - 168*k**3*v + 24*k**2*v**2 - 12*k*v**2 - 8*v wrt k.\nAnswer: -24*k*v**2 - 6*v**2 - 1008*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1827, -1812, -1797, -1782?\n\"Answer: 15*y - 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 14?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 4. Suppose 4*s + j - 20 = -j, 4*j = 5*s - 12. Suppose s*i - 4*b - 16 = -i, 0 = -4*i - b + 17. Is o(i) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Let p = -1.652 - -1.652. Let d = -10.9 + 11. Which is the closest to p? (a) f (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15 + 9 - d**3 + 10*d**2 - 9*d + 2*d**2. Let x be w(10). Calculate the highest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = 0, 0 = 2*t - 5*i + 10 + 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -564075 divided by -1635?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + 27. Suppose -a = -2*f - 0*f + 4*n, -3*f + 29 = 2*n. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/42*(-7)\/70*15\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 2*c. Let u be d(3). Let g be -7 + 8 - (-7 - -2). Let k be 8\/g*9\/2. Solve -u*b + k = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*d*d\/(d**9*d*d))\/(d*(d\/(d**(-4\/7)*d))\/d*d**(-1\/3)) assuming d is positive.\nAnswer: d**(-5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 - 27*m**2 - 7*m + 8. Let y(q) = -q**3 - 9*q**2 - 2*q + 3. Let j(p) = -4*b(p) + 11*y(p). List the prime factors of j(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 41 = -2*y - 53, -4*s = -y - 95. Suppose 3*g = -g + s. Solve g = l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -151, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(sqrt(10)\/sqrt(5) + -4 - (3 + sqrt(2)*2)).\nAnswer: 36*sqrt(2) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 2*f**2 + 2*f + 3. Let q(b) = 4*b**3 - 10*b**2 - 11*b - 16. Determine -2*q(p) - 11*t(p).\nAnswer: 3*p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from nllnllnnnnll?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/(2\/6). Let d = -2 - n. Let h = -82 + 408\/5. What is the closest to d in 0.3, h, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*u + u - 13, 0 = -4*k - 12. Let t = u + 1. Let s = t - -9. Solve -l + 3*l - s = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 - 11*y**2 + 4*y - 12. List the prime factors of l(-10).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 8*l - 45 = -22*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 0*f + 8. What is the second derivative of -5*q - 51*q**3 + 51*q**3 + 24*q**f wrt q?\nAnswer: 288*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99618190 divided by -31465.\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Let g(v) = 3*v - 5. Let i(u) = -4*g(u) + 20*z(u). Let r(f) be the second derivative of f**3\/6 - 114*f. Calculate i(r(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -327 + -1?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 53331, 106640, 159949, 213258, 266567, 319876?\n\"Answer: 53309*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32087.9 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 43*s + 1 - 4 to q*s + d and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16422993 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2420 - 2498. Put k, 1, 2, 4 in decreasing order.\nAnswer: 4, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7433, 14849, 22255, 29651, 37037, 44413, 51779?\nAnswer: 59135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*y + 252 = -263*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*x - 4710 = 876, -2*x = 6. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25235803, -100943209, -227122221, -403772839, -630895063?\nAnswer: -908488893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 3*o, -16 = -3*r - 3*o + 2*o. Let d = 5 - r. List the prime factors of d\/4 - (-572)\/16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8942840*q + 8942836*q - 4*n = 36, 2*q + 4*n + 46 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - 136 - (7 - (11 + -5))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myp when three letters picked without replacement from {a: 4, y: 3, p: 1, j: 1, m: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x - 28*x - 53041 = -53631 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2429544 and 22762?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 1. Give r(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - (96\/10 + -4))*-5. Let a be ((-21)\/(-2))\/(r\/104). Calculate the greatest common divisor of a and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5, -8 = 3*w + 5*t - t. Suppose -16 = -w*m + h, -4*h = -6*m + 2*m + 28. Suppose m*x = 2*x. What is x rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/162400 and -79\/69.\nAnswer: 11205600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 5*s + 5. Let m(n) = 4*n**2 - 13*n + 13. Let o(k) = -8*k**2 + 27*k - 27. Let a(g) = 13*m(g) + 6*o(g). Calculate -5*a(w) + 7*c(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 226843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/16 + 350\/112. Solve -2*s - 5*y = -7, 4*s + 2*y + 1 = -a*y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(175)) + (sqrt(175)*-2*3 + sqrt(175))**2 - (sqrt(175) + (sqrt(175) + -2)**2*2)*4.\nAnswer: 110*sqrt(7) + 2943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13350629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*m - 3*m - 44 = 0, -g - m = -20. Which is smaller: 18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11358 + -102299?\nAnswer: -102298.88642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86, -87, -88, -89, -90, -91?\n\"Answer: -l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12837 - 12829. Let o(w) = 2*w + 12. Let z be o(-8). What is the nearest to f in z, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705 + 494 = 351*c - 205 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 546 and 270123?\nAnswer: 7023198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - q**3 + 2*q**2 + 0 + 7 to s + l*q**2 + k*q + h*q**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*y**4 + 12*y**3 + 1820*y**2 - 7*y - 57151591?\nAnswer: 56*y**3 + 36*y**2 + 3640*y - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {f: 7, o: 1, g: 5}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -42. Which is the closest to -1? (a) h (b) 14 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 - 19 = 0, 5*y + k = 20. Suppose -u + 9 = -y. Find n such that 3*n + 3*n - 13*n**3 + 6*n**4 - n**5 - 4*n + u*n**2 - 6*n = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13278.2 - -13280.4. Let u be (-68)\/(-18) - 4\/(-18). Sort -0.7, u, q in ascending order.\nAnswer: -0.7, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5308.\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/72 and -25\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 112\/44 - (-168)\/(-2574)*6.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -r - 2*t, -r + 4*t - 4 = 8. Let f be ((-257)\/(-2))\/(r\/32). Suppose 494 = 4*d - f. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k + 23*k + 2*k as n + g*k and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 5*f - 4. Let i be k(1). Suppose -2*r - 2*b - 6 = -i*r, -b = -3*r + 8. Which is smaller: r or 11\/14?\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14229 and 15283.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*z - 10, -c = -2*z + z - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 72. Let u = d + 5. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -40, -31, 2, -1, -7 in decreasing order.\nAnswer: 2, -1, -4, -7, -8, -31, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*f*f**(-1\/4)*(f**(-1\/4)\/f)**(-4\/13)*(f*f*f**(-1\/5))\/(f**(-2)*f)*f**3\/(f**0\/f*f) assuming f is positive.\nAnswer: f**(3363\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.389 - -23.489. Sort -4, 0.821, c in decreasing order.\nAnswer: 0.821, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/7)*(((q**(-2\/15)*q)\/q)\/q)\/q)**(-13\/3))**20)**(-8) assuming q is positive.\nAnswer: q**(-105664\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**1*r))**(1\/15) assuming r is positive.\nAnswer: r**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 51. Let p = 62 + s. Solve -3*q - 2*q - p = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5. Let r(c) be the first derivative of -c**2\/2 - 4*c + 90. Calculate -5*r(x) + 4*v(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07609688 + 0.08.\nAnswer: 0.15609688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Let a = -49.3 - -49.3. What is the smallest value in -5, t, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8030.958 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32775037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(132)\/(sqrt(12)\/sqrt(4))*-2)\/(-6*(sqrt(40)\/(sqrt(40) + sqrt(10)) + sqrt(4))*1))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-100)\/(-54)*(-228)\/44. Let p = -108\/11 - o. What is the biggest value in -0.21, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0*h**2 + 0*h**3 + 3\/70*h**5 - 1\/35*h**6 + 0 - 1\/42*h**4 + 1\/147*h**7 - h. Factor g(n).\nAnswer: 2*n**2*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4716 and 3469404?\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.194119 * -0.3.\nAnswer: 0.3582357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 44, -66, -294, -682, -1272?\nAnswer: -2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010011100?\nAnswer: 1010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 3*j - 222 = 0, 5*j = -4*v + 148. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1060090 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**2 - 15*x + 1. Let z(j) = -j**2 + 2*j. Let f(w) = -3*c(w) - 21*z(w). Let t(i) = 19*i**2 + 7*i - 7. What is -7*f(n) + 3*t(n)?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.01 (b) 3\/4 (c) 0.091 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -72018720 divided by -32\nAnswer: 2250585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**5\/30 - 8*b**2 + 83. Let c(l) = -6*l**2 - 75. Give x(c(w)).\nAnswer: -72*w**4 - 1800*w**2 - 11250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*r - 35 = 0, 3*r + 2*r + 45 = 5*d. Solve d*k - 8 = 9*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 439614 by 6978.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6*l**2 + 8*l + 2. Let q be x(-7). Suppose 38 = -2*h + c, -12*h - 57 = -9*h + 5*c. Put q, h, 3 in descending order.\nAnswer: 3, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + h - 5. Let p(z) be the third derivative of -1 + 1\/15*z**5 + 0*z + 0*z**4 + 1\/3*z**3 + 15*z**2. Determine 5*p(k) + 2*q(k).\nAnswer: 2*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 j when three letters picked without replacement from {e: 2, j: 4, s: 4, x: 7, w: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 12 = 7*y. Suppose -y = -3*i - 6. Let a be 15\/6*4\/5. Sort i, a, -2 in decreasing order.\nAnswer: a, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 66, -5.\nAnswer: -5, -2, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2143838, 2143837, 2143836?\nAnswer: 2143835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -130 (b) -33 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300308 is divided by 25024.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (435*n**2 - 223*n**2 + n - 139 - 214*n**2)*(-21 + 3 - 4).\nAnswer: 44*n**2 - 22*n + 3058","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62307808 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.97 - 0.03. Let h = u + 2. Is -2\/15 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 > -221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/864 and -11\/189.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 513 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75214 greater than or equal to 75227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.19 - -8.19. Do c and 15\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 6. Let a be i(-4). Let l(t) = -2*t - 2. Let k be l(a). Is (-12)\/(-20) - (6072\/(-5) - k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - w = -300, w - 154 + 454 = 4*i. Let f = i - 40. Calculate the remainder when f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.149 times 791583?\nAnswer: 117945.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d4325 - 3?\nAnswer: -d4328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014788 times 3?\nAnswer: -0.044364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114*(-11)\/132*-6)\/3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 17*m - 2. Let x be u(-2). Let k = x + 52. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 1380 in decreasing order.\nAnswer: 1380, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 15*q = 10*q + 5, 4*q - 18 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/(-40) + (-2)\/(-3). Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 60.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63.29? (a) 4 (b) -4 (c) -5 (d) -4\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 4\/7 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3786519410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -2 - 5 - 23. Let k be (-15)\/(-6)*(-1)\/p. Let o = 587 + -588. Which is the nearest to o? (a) -0.3 (b) -2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 15) to base 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 7*b + 13. Let y be x(-5). What is the highest common factor of y and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*y - 36, -3*y - 1 + 41 = 7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 29609, -0.38, -47?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 - 27*q. Let c(b) = 74*b + 54*b - 207*b + 66*b. Give p(c(x)).\nAnswer: -507*x**2 + 351*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in 2\/85, 5, 0.5, 2\/19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 11910322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.9 + 0.4. Round b to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4152 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 711*-6\nAnswer: -4266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -101, -235, -423, -665, -961, -1311?\n\"Answer: -27*c**2 + c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(-2\/5))\/(z\/(z**(7\/2)\/z*z)))**(-44)*(z**(-2\/15)*z*z**(-5))**(-37) assuming z is positive.\nAnswer: z**(-1072\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6455, -3, -167 in descending order.\nAnswer: 6455, -3, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -4871800.\nAnswer: 1\/194872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -718 + 24. Let r = 1248 + h. What are the prime factors of r?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 12 = 6, -5*j + 216 = 3*u. Which is the second smallest value? (a) u (b) 7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47418 and 2370900?\nAnswer: 2370900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u - 1. Let k(j) = 0*j**2 - 6*j**2 + j**2 + 6*j**2. Determine v(k(i)).\nAnswer: 10*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -26*m**2 + 27*m - 22. Let o(d) = -d. What is o(c(t))?\nAnswer: 26*t**2 - 27*t + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 9*a**4 + 15)*(2*a + 2*a + 2 - 2*a).\nAnswer: -18*a**5 - 18*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 5*u**2 + 7*u + 50. Calculate c(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/2)\/((1\/20)\/(22\/220)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4470 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7515, 15032, 22547, 30060, 37571, 45080, 52587?\nAnswer: 60092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-5 - (3 + (2 - 5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 30*b**2 - 13. Let p(v) = -59*v**2 + 24. What is -6*p(m) - 11*u(m)?\nAnswer: 24*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21033 is divided by 3001?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429*v**3 - 207*v**3 - 214*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = 0, -3*k + 7 + 6 = m. Let t(y) = y**2 + y. Let a(q) = 7*q**2 + 283 + 6*q - 571 - 2*q**3 + 288. Give k*t(o) - a(o).\nAnswer: 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*x + 123 = 0, -47*m - 72 + 3 = 5*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*a - 18, 3*z = 5*a - 1 - 2. Let k(b) = -b**2 - 10*b - 8. Let l be k(z). Solve 0 = 3*q - 3 - 9, -5*d = q + l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventy-four fifths of a microsecond?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-9 + 30 - -14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 50050363 (b) 1\/3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - ((0 - 3) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.251 - 1.451. Which is the closest to 0? (a) -1 (b) s (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118109399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = -14, -i - 25 = -5*j. Suppose 20 = 3*k + 5. Suppose 2*w + k*f - 323 = 0, -j*w + 651 = 4*f + f. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 5*x + 35 = u, 3*u - 4*x - 100 = 0. Let d be 80 + (-2)\/4*0. Calculate the greatest common divisor of u and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20.4 or -112\/579?\nAnswer: 20.4","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert -33b6 (base 16) to base 6.\nAnswer: -141142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-9 - -4) + 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*11\/((-363)\/(-9))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 4*h + 21. Let y(o) = -3*o - 3. Let j be y(-2). Let a = 9 - j. What is the least common multiple of h and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 + -95. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30805\/2 + -14015. Let q = i + -1361. Let b = -5216 + 62627\/12. Calculate the common denominator of q and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 49. Give d(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - (5 + 20)) + (-14 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58\/11 + 119\/33. Which is the second smallest value? (a) 0.1 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/12 and -125\/1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -247057 = -248484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (2\/(-6))\/((57\/4689)\/(-19))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 614694, 1229444, 1844194?\n\"Answer: 614750*z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3287 + 5117.35. What is h rounded to the nearest ten?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 27, 7\/3, 3\/4, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10855 and 6872885.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17697143.\nAnswer: 23, 433, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120106 + 3?\nAnswer: -120103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143836576 by 106388.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1 = f, 4*f + 2 + 2 = -t. Which is smaller: t or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 916 and 85639?\nAnswer: 84723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3868 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/29 + -128\/203. What is the biggest value in -2, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**4\/4 - d**3 + 7*d - 46. Suppose -181 = -6*f + 59. Calculate the remainder when f is divided by r(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/7 and -9\/119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -571854*b**5 - 14*b**4 + 69*b**2 - 424775?\nAnswer: -34311240*b**2 - 336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 12. Let h be u(6). Let s be (3\/((-15)\/(-40)))\/((-1)\/4). Let v be s\/(-10)*(-9 - (-46)\/4). Is v less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3855922 (base 12) in base 3?\nAnswer: -202211000112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*c - 66*c - 46*c = 912 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 1 - -2) + -66 + 74\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -0.019879.\nAnswer: -11.019879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 197404?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/10*-4*-10. Let k be (2 - b) + -1 + 3. Factor -3\/2*n**2 + 0 + k*n.\nAnswer: -3*n**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*w + 237 - 149 = -1577 - 483 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -975.09513619 and 0.2847.\nAnswer: -974.81043619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*i - 0*i + 60 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 67371.595 to the nearest ten.\nAnswer: 67370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330691?\nAnswer: 347, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 296, 445, 596, 749, 904?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -1171634?\nAnswer: 1171634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - sqrt(70)*-1))*-6)\/(sqrt(10) + (sqrt(10) - sqrt(60)\/(sqrt(6) + sqrt(54)))).\nAnswer: -72*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/3097, 0.4, -50?\nAnswer: 12\/3097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/2))**(1\/12))**15 assuming r is positive.\nAnswer: r**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Let v(d) be the second derivative of d**3\/3 - 3*d**2 - 19*d. Let y be v(u). Which is bigger: 3\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 2 (c) 7.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haeghaawwnngghgw. Give prob of picking 1 n and 1 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 + 1) - (-4 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 18*t**2 - 49*t - 30. Suppose 10*r - 184 - 26 = 0. Is 22 a factor of s(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.3, -2\/13, 2\/3, -2, -177?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7456 divided by -1864?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 27 = 27 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 26392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/1 - (-6484 - 11)?\nAnswer: 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 9. Suppose 0 = -6*z + 9*z - 12. Suppose z*k = -k - 45. Let c be n(k). What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*q + 28, 6*q - 44 = 3*q + 5*p. Calculate the remainder when 27 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 94 - -43 - -68.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*q + 18. Let u(a) = -a - 2*a - 6*a. Let b be u(-7). Calculate the greatest common divisor of b and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:53 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.9 in -51\/4, 0.5, 0, 0.064?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 13*h**2 - 14*h - 14. What is the tens digit of u(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 780 - 803. Sort 0, -1, 3, q in increasing order.\nAnswer: q, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 - (-84 - -79).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 50237535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 - 13*k**2 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 46 - 16*l to the form v + y*l and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 31*t + 1. Let u(m) be the first derivative of 0*m**2 - 2\/3*m**3 + 174 + 0*m. Give u(x(f)).\nAnswer: -1922*f**2 - 124*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7049, -7028, -7001, -6974, -6953, -6944, -6953?\nAnswer: -6986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10341251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -3.3976.\nAnswer: 0.067952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250529 a multiple of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 4 = -2*s. Let b = -17 + s. Let q(y) = -2*y**3 - 6*y**2 - 4*y - 1. What is the tens digit of q(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 5*r**4 - 3*r**3 + 3*r**3 + r to v*r + q*r**4 + u*r**3 + s + o*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 6*m)*(258*m - 486 + 972 + 456*m - 486) to the form r + k*m**2 + o*m and give k.\nAnswer: 4284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s - 1. Give x(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58600?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**2 - 10*t**2 - t**2 + t**2.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5271107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1436408594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16 - -27) + 3 + -10. Let y be (22 - 1) + h + -8. What is the greatest common divisor of 425 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 270.528 - -58.782. Let v = f - 5.31. Let s = -323.99999678 + v. Round s to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 3*b - 9, -5*b + 3 = g - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1202*n + 1202*n + 222 - 313*n**3.\nAnswer: -313*n**3 + 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1903 = -113. Calculate the greatest common factor of 608 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32028 - 31527. Solve -2*n - k = -515 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-147))\/(92\/24)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1456 + 4375 - 2*n**2 - 1455 - 1464.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 7. Let p = -32 + 26. Let u(m) = 2*m - 8. Let y(a) = p*w(a) - 5*u(a). Determine y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3927 = 5*w - 668. Suppose -7*t - w = -8*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003665481 rounded to five decimal places?\nAnswer: 0.00367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*i = -55, 0 = x - 2*i - 3*i - 41. What is the remainder when 66\/132 - 322\/(-4) is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3331 is divided by 1649?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -106235580379 and -1.\nAnswer: -106235580380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/30 and -49\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 27876*q + 55736.\nAnswer: 4*(q - 6967)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - 218?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from itgggotott.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*l + 3*g - 143, -3*g + 61 = 2*l. What is the units digit of 287\/l - (-2)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 2*d**7\/105 + d**6\/120 - 4*d**5\/15 - d**4\/6 + 2*d**2 + 36*d. Factor l(p).\nAnswer: p*(p - 2)*(p + 2)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2\/5, -4\/7, 4.\nAnswer: -46, -4\/7, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55666.88 and -30?\nAnswer: 1670006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -21. Suppose 26*k = 30*k + 4*z - 16, 3 = 3*z. Factor -8 + 64\/3*f - 10*f**2 - c*f**k.\nAnswer: -2*(f + 3)*(3*f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**10*f*f\/(f**(-7)\/f)*(f\/(f*f**(12\/5)))**(-3) assuming f is positive.\nAnswer: f**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140*c**3 - 248*c + 2.\nAnswer: 840*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a - 1204 = 87*a. Solve 0 = 168*t - a*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48415650 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13444808*r + 13216135 with respect to r.\nAnswer: -13444808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {x: 17, q: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/28)\/3 + (-337236)\/(-7518).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/228 and -89\/7980?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 24. Find the second derivative of 5*x - 16*x**2 + 30*x**2 - 15*x**k wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14999\/2205 - -1\/441. Let p = 811\/352 + -33\/32. Calculate the common denominator of h and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 60*o**2 - 320*o - 129. Calculate the remainder when y(54) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 219 (b) 3\/2 (c) 3.59 (d) -2\/3 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-48))\/(6\/(-16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76802478 by 6.\nAnswer: -12800413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -54553775\/19 greater than -2871250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1c0 (base 16) to base 6\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b + m + 144 = 0, -216 = -3*b - 3*m. Let c = -1075 + 1267. What is the greatest common divisor of c and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from kwrkzrr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -65658890 to the nearest ten thousand.\nAnswer: -65660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 364831.2 weeks in microseconds?\nAnswer: 220649909760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*k + 6*k. Let n = k - 5. Solve -n*t + 19 = -0*l - l, 0 = 3*t - l - 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 9, k: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5248 = 60*s - 305*s - 12469 + 77 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8222 - -8221.5. Sort 2, -59, -4\/7, l.\nAnswer: -59, -4\/7, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1271979 divided by -1789\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k + 17*k - 156 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.946 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 39 = -11*l - 5*m, l + 4*m = -18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 30*f + 3*f + (f - 82 + 82)*(-3 + 1 + 0).\nAnswer: -31*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 2:56 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9789255\/185141 - -1450367316182920\/3887961. Let h = k + -660080521647637\/1769460. Let l = -1\/4213 - h. Find the common denominator of l and -33\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 15*v + 8*v**3 - 16 - 16*v + (3*v**2 - 4*v**2 - 2*v**2)*(-2*v + 2*v + v) + 2*v**3 + 2*v**3 - 6*v**3 to i*v**3 + c + l*v + p*v**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1300)*-3 + 2)**2.\nAnswer: -420*sqrt(13) + 11749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 800266105.\nAnswer: 5, 3793, 42197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 29 + 4*g**2 - 105 - 5 + 23.\nAnswer: 2*g**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, k: 3, f: 3}. Give prob of picking 2 f, 1 t, and 1 k.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2211 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23877b9 (base 13) to base 10\nAnswer: -11012699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 - 816*u + 3263. Determine q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 14 + 36. Let x = z - -97. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.5 (c) 36 (d) -4\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(637)*-6 + sqrt(637) + sqrt(637)*-2*6 + 3)**2*4 + -4.\nAnswer: -56*sqrt(13) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 774691 divided by -5?\nAnswer: -774691\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - (7 - 11)) + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2. Let j be -1*(-18)\/(1 - -2). Let c(u) = -u**3 + 6*u**2 + 2. Let z be c(j). Let r(v) = 0 - 6*v**z + 4*v**2 + 0. Give r(l(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-6))\/p**(2\/35) assuming p is positive.\nAnswer: p**(-142\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 + (5 - (0 + -2)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 9) to base 15.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370*p**5 + 62*p**4*r**2 - p**3 + 4913*p**2 - 47*r**2 wrt p?\nAnswer: 22200*p**2 + 1488*p*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52915 take away 41589932?\nAnswer: -41642847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1625.3795 - 0.3795. Let n = 1614.77 - p. Round n to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 378*o - 451. List the prime factors of x(-88).\nAnswer: 3, 11, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189750, 379498, 569246?\nAnswer: 758994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -0.9. Let w = r + 0.2. Which is the biggest value? (a) -4 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7120*g**2*n**2 + g**2 + 9*g*n**2 + 2*g*n + 106*n wrt g.\nAnswer: -14240*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4933504 is divided by 154172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + q)*(2*q - 6*q + 5*q + (4*q - 2*q + 0*q)*(-1 + 2 - 3) + 1 - 2*q - 1 - 3*q + q + 6*q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + m**2 - 2*m - 15. Let k = 17 + -17. Let d be o(k). Let r(l) = l**3 + 17*l**2 + 30*l + 16. Calculate the remainder when 44 is divided by r(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((600\/(-585))\/8)\/(15\/(-72))\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1030080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5353 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1018 = -5*o + 245, 4*i = 3*o + 473. Does o = 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -55808.\nAnswer: 446464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 314*n - 21842. Determine w(59).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(68) + sqrt(68) + 1 - sqrt(68)) + sqrt(68) - sqrt(68))**2 + -2)*4 + ((3 + 2 + sqrt(68))**2 + 2)*1.\nAnswer: 164*sqrt(17) + 2571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 6*y - 3. Let h = -416 - -409. Determine a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + a**2 - 18*a - 14. Calculate the remainder when 993 is divided by d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781430789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, -1\/3, 120?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.32626 from -0.64.\nAnswer: -15.96626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 7:47 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141002*l**2 + 46645*l**2 - 1 + 46637*l**2 + 1 + 47734*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1002 from -2768.6.\nAnswer: -2768.7002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 45 - 32. Suppose -10 = -l*v - 10. Solve v = 4*p - 7*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 11190615?\nAnswer: -1\/11190615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h + h)*(3*h - 6 + 2*h - 4*h).\nAnswer: 3*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 926?\nAnswer: 6\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26670 + 26661. Sort 4, 1\/5, y, -0.11, -4 in decreasing order.\nAnswer: 4, 1\/5, -0.11, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 5:16 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 319 = -3890. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738188924.\nAnswer: 2, 11, 37, 173, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + aa?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-100)*5)\/1*(-69)\/(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 663 divided by 663\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*a - 3*s, 22*s - 5 = 7*a + 17*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.5 - 48.5. Let s = 0.28 - -13.72. Let n = z + s. Which is the third smallest value? (a) 8 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/154)\/((-180)\/420)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 84*s - s**3 - 1\/30*s**5 + 1\/3*s**4 + 0*s**2 + 0. Factor o(p).\nAnswer: -2*p*(p - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 2. Let w(x) = 9*x + 7. Let h(b) = -4*g(b) + w(b). Let u be h(22). Solve -u = 2*d + d + 3*y, -5*d = y + 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6939986186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 185.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2276542.3830539 - -0.3830539. Let t = 2276543.2600081 + o. Let j = t + -1.26. Round j to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5068*b**4 - 10327*b wrt b.\nAnswer: -60816*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 3, -2 in descending order.\nAnswer: 29, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 times -3.4\nAnswer: -0.1598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - k - 350 = -332, 2*k - 8 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w - 162*w**2 + 16*w**4 + 2*w - 410*w**5 - 45*w**3 + 409*w**5 - 3*w.\nAnswer: -w**2*(w - 9)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-44) + 387\/11. Let a be ((-20)\/q)\/((-4)\/14). Factor 0*o - o + o**3 + 2*o - a*o**2.\nAnswer: o*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-9 - (-18 - (7 - 8)))) + -13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3404 + -1.3404. Which is the fourth smallest value? (a) -1\/4 (b) -4 (c) -1\/6 (d) s (e) 1.75\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 244333 - 300113?\nAnswer: -11340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 4*j + 3. Let r be a(3). Suppose r = 3*n, -5*t + 31 = 4*n - 61. Suppose 14*y + 86 = t*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 405*k**3*t**3 - 2*k**3*t - k**2*t**3 - 33*k**2*t wrt t.\nAnswer: 2430*k**3*t - 6*k**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 - d**2 + d**2)*(-24716*d - 22100 + 44217 - 22117) in the form u*d**2 + f*d + i + x*d**3 and give x.\nAnswer: 24716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 0) + (65 - (-10 - -63))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**7\/840 + s**6\/45 - s**5\/30 + s**4\/24 + 76*s**3\/3 - 11*s - 2. Let w(p) be the second derivative of d(p). Determine w(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05097 - -0.24903. Let v = -4329 - -4350.008. Let c = 0.008 - v. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 - -93.998. Let s = 5.998 - n. Let t = 24.9 - 25. Sort s, t, 1 in decreasing order.\nAnswer: s, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 5*i**2 - i + 7. Let n be u(5). Suppose -7*s + n*s = -10. What is the third derivative of 5*x**2 - 2*x**s + 0*x**2 + 3*x**3 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1595436001 to the power of 1\/3, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 3. Let n be p(-3). Suppose 0 = -r + 12 + n. Let v(b) = -b**3 + 4*b**2 + 6*b - 4. Let l be v(4). What is the highest common divisor of r and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f + 2. Let v be m(-4). Let h = 62 + v. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1803 + -2946. Is ((-8)\/(-12))\/((-6)\/u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550965540.\nAnswer: 2, 5, 4789, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + 4 + 8 + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = 0, 2*s + 5*i - 22 = 48. Let v be (-2)\/5 - 108\/s. Let r(p) = -2*p**3 + 0 + 40*p + 3*p**2 - 42*p + 3*p**3 + 2. Determine r(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6052.9 - 6053. What is the nearest to -0.12 in -2, -1\/4, t, 2\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77863\/252010 - -9\/4345. Let g = -19135\/46882 + -2\/2131. What is the common denominator of g and s?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, e: 1, r: 8, z: 3, b: 2}. What is prob of picking 1 z and 1 i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q + 4*q**2 + q**2 - 3*q**2 + 2*q**2 to h*q**2 + p*q + u and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/((-384)\/540))\/(15\/(-10)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 4*v - v)*(10 - 2*v - 10 + (-3*v + 2*v + 2*v)*(-1 + 2 - 3) + 2*v - 2*v - 2*v)*(-v - v + 3*v) as z*v**3 + m + y*v**2 + n*v and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*a - 2*a. Let m be ((-15)\/120 - (-6)\/(-16))*-2. Put a, -2, m in increasing order.\nAnswer: -2, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Suppose 0 = -x*f + 6, 3*s - 4*f = -1 - 2. Suppose -n = -b + 196, -4*b + 4*n - s*n + 772 = 0. What is the greatest common factor of 24 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*g - 155, 0 = g - 5*n - 57 - 6. What is the greatest common divisor of 901 and g?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2214, -3685, -5156?\nAnswer: -6627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 661301 = -4*c + 124659, 134144 = -c + 5*h. Is (-2)\/(-3)*1 - c\/69 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 116*p - 38. Let c be s(-27). Let j = c - -7827. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2977392 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**6\/120 + x**5\/60 + x**4\/12 + x**3\/6 + 4*x**2. Let o(l) = 3*l**3 + 3*l**2 + 5*l + 2. Determine -5*n(b) + 2*o(b).\nAnswer: b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15473174371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16436 - 16440 + 32876 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2588, 2641, 2700, 2765?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) 3\/8 (c) 9.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**3 - 12*l**2 + 12*l - 10. Let r be i(-7). Suppose -3*b + 98 = -r*c, b = -4*c + 12 + 42. What is the highest common factor of 494 and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24928853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + -4 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 824975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198801774 is divided by 453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8168*o - 15481*o + 7312*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1744080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 0*z**2 - 3*z + 6*z**2 + 1 - 3*z - 5*z**2. What is y(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 942535*h + 4712550.\nAnswer: 5*(h + 5)*(h + 188502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183 - 182. Which is the third biggest value? (a) -26 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546310 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - 61. Let q(r) = 5*r**2 - 58. Calculate 3*q(t) - 4*z(t).\nAnswer: -13*t**2 + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -21*k**2 - 20*k**2 + 42*k**2. Let s(y) = 14*y. Determine x(s(u)).\nAnswer: 196*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 8*r**2 + 6*r + 4. What is the units digit of g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 p when four letters picked without replacement from {v: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*5*sqrt(81)\/(sqrt(3)*-2))**2.\nAnswer: 6055\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326*k**4 + 19*k**6 + 326*k**4 + 15*k**6 + 22*k**2 wrt k?\nAnswer: 4080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64629478 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhufiihiffhifii. What is prob of sequence li?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3258, 3227, 3196?\n\"Answer: -31*d + 3289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7169707 is divided by 676?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 26*x - 20. Let o be d(12). What is the second derivative of 307*u - 154*u**4 - 112*u + 130*u**o wrt u?\nAnswer: -288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1337*x + 1323*x - 3834*x + 1173*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010111111110 - -110110110?\nAnswer: 100011110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/w**(-4))\/((w\/(w*w\/w**(-2\/3)*w*w)*w)\/w*w**(-4\/3)\/w) assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13998 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109*y - 3379 + 53883 = -14927 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. What is the third derivative of -4*z**o - 3*z**3 - 2*z**2 + 4*z**2 wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l**2*l))**(1\/22))**(-17\/4) assuming l is positive.\nAnswer: l**(17\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 19*i + 18 = 0. Suppose -2*l + 0*l = 0. Let q = i - l. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3\/8, 9, 1\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8135 (base 13) to base 5\nAnswer: -1032124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:07 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -614628, -614663, -614736, -614841, -614972, -615123?\n\"Answer: b**3 - 25*b**2 + 33*b - 614637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + 5. Let a(k) = k**3 - 9*k**2 + k - 8. Let i be a(10). Suppose 2*f = -f + i. Calculate the highest common divisor of f and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*a = 92, -4*s = -s + 5*a - 79. Let i = s + -13. Suppose 4*z - i*o - 64 = 0, 0 = -5*o - 0*o. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 59 - 39 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*c = 57*c + 7069 - 829 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n + 48. Let f be (65\/(-52))\/((-2)\/n). Let y be (12 - 6) + -5 + -14. Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40563836 and -0.08?\nAnswer: -3245106.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 - o**2 + 3*o - 2. Let c be n(2). Let q = -21 + c. Solve -q*z = -9, 3*g - 2*z - 21 = -4*z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**3 - 35*r**2 + 107*r - 55. Determine s(3).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/18)\/l**(11\/4)*(l**0\/l)\/(l**(-9\/4)*l*l) assuming l is positive.\nAnswer: l**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1315*l*p - 505267437*l - 37288*p wrt p?\nAnswer: -1315*l - 37288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34.6 + 0.012964275542\nAnswer: 34.612964275542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*k**4 - 187687*k**3 + 3179*k**2 + 11*k + 173 wrt k?\nAnswer: 888*k - 1126122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 61?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34184 - 48760 = -864*v for v.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 18)*(8220\/(-510) - -16). Solve o*r + 5*j + 90 - 113 = 0, -4*r + 3*j + 7 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106944907\/264 + -405095. Let z = -1\/88 + r. Which is the fourth smallest value? (a) z (b) 0.4 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u - 84*u + 204. Solve 28*f - 2*h = 25*f - 7, u*f - h = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214.77519 months to decades.\nAnswer: 1.78979325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0. Let f = -3.5 - -1.9. Let w = 0.4 - f. Which is the closest to w? (a) -2 (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*n**3 + 5*n**2 - 3*n**2 + 24*n**3 + 6)*(-2*n + 2*n + 2*n) in the form u*n**3 + b*n + f*n**2 + v + l*n**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410 - 86*i + 390 - 1216 + 415.\nAnswer: -86*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/2 + 7*j**2 + 12*j + 31. Factor k(i).\nAnswer: -2*(i - 3)*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:25 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -7, 4 in increasing order.\nAnswer: -7, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 190494 = s, -76194 = -2*b + 14*s - 18*s. Suppose 4*x + t = -2*t + b, 4*x - 5*t = 38123. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b8a (base 14) to base 7\nAnswer: -64433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - t**2 - 3. What is the remainder when 28 is divided by f(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1743*h = -1693*h - 961200. What are the prime factors of h?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -48*y - 294. Let j(c) = c**3 + 4*c**2 - 54*c - 42. Let i be j(6). Give w(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + -6. Let u = b + 21. Suppose 0 = 3*f - f - 5*k - 555, 0 = -u*f - 4*k + 1040. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i. Let x(g) be the first derivative of 0*g**2 + 0*g + 6 - 2\/3*g**3. Determine x(h(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5\/3 - 8*a**4\/3 - 24*a**3 - 128*a**2\/3 - 92*a\/3 - 8 = 0. Calculate a.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 260437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:50 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445, 887, 1327, 1765, 2201?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17646 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 10*a + 952. Let b(d) = d**2 + 7*d - 4. Let t be b(-9). Let z be (1 - -1) + t + -2. What is the greatest common divisor of a and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 18*t**3 - 2*t. Let g = -1467 + 1469. Let k(b) = b**3 + b. What is g*k(o) + h(o)?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 0*f**2 + 2*f**2 + f**3)*(-4*f + 7*f - 2*f).\nAnswer: f**4 - 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791646?\nAnswer: 2, 3, 131941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + a - 1. Let y(k) = -k**3 - 4*k**2 + 3*k - 6. Let z be y(-5). Suppose 4*t + t + b - 11 = 0, -z*t + 12 = 4*b. Calculate n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 5*c - 4. Let v(w) = -6*w**2 + 6*w + 5. Give 5*v(m) + 6*z(m).\nAnswer: 6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7024055.\nAnswer: 5, 1404811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496710 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 4*l - 4*l - 8*l to the form h + n*l and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-3))\/((-52)\/78) - -32244 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/890369 and 145\/2832?\nAnswer: 42737712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 155 - 192 - 10*z**3 + 6*z**3 - 2*z + 3*z**3 in the form q*z + t*z**2 + j + o*z**3 + r*z**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.1. Let b = -0.1 + o. Let p = b + 0.09999. What is p rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**3 - 5*f**2 - 5*f + 5. Let p(x) = x**3 - x**2 - x + 1. Let m be (1\/(-2))\/(5\/50). Calculate m*p(h) + w(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 + 386 + -120 - (1 + 1 + 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t - 7*t + 6*t in the form d + w*t and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2959 divide 84665867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 423285*a. Let x(l) = -111*l**2. Calculate t(x(v)).\nAnswer: -46984635*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(1 - 5 + 5)*(-2*q**3 + 14*q**3 - 2*q**3).\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 + 3\/(-6). Let w = 12 - m. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*u = -2*u - 1939, 0 = -3*z + 4*u + 1455. Is 62 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*b + 305 - 305)*(6*b - 2*b - 3*b)*(-4 + 4 + b**2).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 38, 43, 26, -19?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 56 = 11*p. Let i be (0 - 4)\/(1\/p). Calculate the greatest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (17 - (-27 + 24)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/2172 and -30\/11.\nAnswer: 23892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, -61, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 1, i: 1, c: 1}. What is prob of sequence ji?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Let y(m) = w*m + 4*m**3 - 4 - 3*m**3 + 2 - 4*m**2. Let v be -3*((-2)\/(-6) - 1). Give y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44932 is divided by 2139?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n - 119 = -a, 567 = 5*a + 3*n. Is (682\/(-33))\/((-4)\/a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(1\/3)))\/(t*t**1*t))**(-1\/39)*(t**(-2)*t\/(t*t**(-3\/4)))\/(t\/(t**1\/t)*t)**(-15\/8) assuming t is positive.\nAnswer: t**(601\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84\/43 + -547\/258. Put 0, 32, h in ascending order.\nAnswer: h, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/(1476\/(-90))*(0 - 1 - 1). Let q(p) = p**2 + 4*p. Let z be q(-3). Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/(2\/(11\/33*18))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3092055 divided by 3092055.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 34) + -23 + 69?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 4272699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132) + 3*sqrt(132)))\/((sqrt(144)\/sqrt(4))\/sqrt(3))*-1.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 9, 50, 57 in ascending order.\nAnswer: 1, 4, 9, 50, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 48*h**2 - 44*h**2 - 2 - h**3 - 7 + 22*h**3. Let j(z) = -22*z**3 - 3*z**2 + 8. Let w(y) = -5*j(y) - 4*m(y). Is w(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**4 - 16*h**3 - 8*h**2 - 4*h + 4. Let z(r) = 8*r**4 + 32*r**3 + 17*r**2 + 7*r - 7. Let g(k) = -7*d(k) - 4*z(k). Factor g(q).\nAnswer: -4*q**2*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 9. Suppose -c*o = -5*o - 8. Solve 20 = -o*j - j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aabb when four letters picked without replacement from bawwabwbwbababb.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 247970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65872326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 51669.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1) + 0\/5. Suppose -36 = -3*z + v*t, 4*z - 3*t = -0*z + 44. Calculate the least common multiple of 18 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62 - 62 + 29 + 2*h as n*h + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3550472673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvju. Give prob of sequence uvuj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -759 + 759 - 5*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(7\/(-1302)*2). Suppose -7*h - r = -24. Let q(s) = s + 1. Suppose 0 = 5*a + 5 - 0. Let y(t) = 2*t - 1. Determine a*y(x) + h*q(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 + -0.6. Let s = 3.2 - p. Let r = 2.985 + 0.015. Which is the second biggest value? (a) r (b) s (c) 2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099207615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 394951.1 micrograms in nanograms?\nAnswer: 394951100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*t + 105. Calculate the common denominator of 64\/3 and 2\/(-6) - 385\/t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102013 (base 4) in base 6?\nAnswer: 5211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7056?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1684 - 1624. What is the remainder when 1 + -1 - (-415 + (-1 - 3)) is divided by m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*q - 325*q + 3*u = 214, q - 102 = u. Calculate the remainder when 1143 is divided by q.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-180)\/48*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - u**2 + 1. Let t be s(1). Suppose -3*x + 16 = t*w, 2*w - 18 = -4*x + 2. Let q be ((-9)\/6 + 3)*w. What is the smallest value in -5, q, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*k**5 + 151*k**4 - 114*k**2 - 14884*k + 5412 wrt k?\nAnswer: -820*k**3 + 1812*k**2 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*q + 124*q = -45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-2)\/5)\/((-3)\/(-75)). Let w be ((-21)\/4)\/(-3) - (c - -12). Let f = -0.8 + -2.2. What is the third biggest value in f, w, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.075\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (452*t - 314*t + 840*t + (3 + 3 - 4)*(-t - 3*t + 2*t))*(1 - 3 + 4).\nAnswer: 1948*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-1 - sqrt(112))*5 - sqrt(35)\/(sqrt(5) + sqrt(180) + sqrt(180)*1 + sqrt(180)))*4.\nAnswer: -3044*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(198)*-2 + sqrt(198))*2)\/sqrt(6))\/(sqrt(18)\/(1*(sqrt(24) - sqrt(6)))))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5977\/3990 - 4\/1995. Is f bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4063341l in millilitres?\nAnswer: 406.3341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4040\/(-52520))\/((-4)\/10)*(-1)\/(-20)*-1.\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 3*v + 7. Let s be q(-4). Suppose 5*m + 36 = 46. Let h(y) = s + 18*y - 5*y - 9*y + 4 + y**m. Give h(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 10 - 2. Suppose -u*v = -5*v + 4. Let b be 8\/(-6)*(-6)\/v. Solve b*k = k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = -m - 41, 2*h - 19 = -m. Let n be (0 + -2)\/((-4)\/h). Solve -2*j + n*j + 2*x + 20 = 0, 4*x = -3*j - 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1487*k + 1460*k - 3045 = 2912*k for k.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 142*g**2. Let t(s) be the second derivative of s**4\/6 + 25*s - 1. Give j(t(c)).\nAnswer: 568*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.16 + -0.04. Let k = 3.3418 - 2.14231. Let g = k + i. What is g rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 927 - 925. Factor 1 - 3\/2*n**j + 1\/2*n**3 + 1\/2*n**4 - 1\/2*n.\nAnswer: (n - 1)**2*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 221458, 221644, 221830, 222016?\n\"Answer: 186*y + 221272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r + 176*r = -1364 - 1067 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/9)\/(q**5\/q*q*q)*q*q**(7\/2)\/q*q*q\/q**(-7))**(-4\/9))**11 assuming q is positive.\nAnswer: q**(-2530\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175227 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + ((3*sqrt(495)*-3 - sqrt(495))\/(1*sqrt(11)*2 - sqrt(11)))**2.\nAnswer: 4506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.4 (b) 0.5 (c) -274 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -883, -1635 in increasing order.\nAnswer: -1635, -883, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jitxkbtxixjixjttj. What is prob of picking 3 i?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**3 + m**2 - m - 2. Let n(t) = -53*t**3 - 4*t**2 + 20*t + 15. Give n(p) + 6*w(p).\nAnswer: -5*p**3 + 2*p**2 + 14*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1404 + 0 = -2*b, -2*b - 4*r + 1404 = 0. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/13 - 281560*o**3\/13 - 21658*o**2 + 563116*o\/13 = 0. What is o?\nAnswer: -140779, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0)\/(-4) - 0. Suppose m*j - 5*j + z + 657 = 0, -2*j + z = -264. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 7*q - 7. Let m be f(-5). Let z = -48 - -48. Solve z = m*b + 15, r + b = -b - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 574*z - 576*z - 5*y, 0 = 8*z + 3*y + 113 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6 and 10\/55 - 1103\/(-198)*-1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 0. Let a = -0.499985 - p. What is a rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z - 4*i + 347, z - 2*i - 129 = 0. Let b be (-356)\/3*9\/(-6). Let a = b - z. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 79 + -22 + 10 - 16?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p - 2. Let t be i(3). Suppose -l - 1 = -0*l, l - 7 = -t*s. Suppose -j + s*j + 1 = 0. Which is the nearest to 0? (a) 0.4 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 19*r**3 + 2*r**2 - 2*r**2 - 20*r**3 - 2*r. Let n(h) be the first derivative of -5*h**4\/4 - 11*h**2\/2 + 1. What is -22*l(i) + 4*n(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101000000110101001001111101?\nAnswer: -101000000110101001001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 205\/(-30) - (-3 + -4 + 1 - 1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 - -2.7. Suppose -10 = -4*g + 2*z, -3 = -2*g - 2*z + 11. What is the smallest value in n, g, 1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5150203 + -20?\nAnswer: -5150223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -64*i**3 + 8*i**2 + 49*i - 13. Let p(x) = -16*x**3 + 2*x**2 + 11*x - 3. Let r(f) = 2*m(f) - 9*p(f). Determine r(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:38 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/((-2184)\/(-63))*2\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 - 999\/(-189). Let o(x) = -10*x**2 - 4*x - 7. Let l(c) = -7*c**2 - 3*c - 5. Let s(d) = 7*l(d) - 5*o(d). What is s(r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66.7 + 69.895. Let s = i - 3.5412. Let o = -0.35 - s. What is o rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6975, 0.3, -4, 0.4 in decreasing order.\nAnswer: 0.6975, 0.4, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 + 25\/5)*40\/(-16). Solve 6 = 4*h - x + 14, -4*x = q*h + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let l(d) = 6*d**2 - d - 1. Let r be l(y). Let x be (3 + 5 + -4)\/r. Put -3, x, 3 in ascending order.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 27*q**2 + 10*q + 40. Let n be m(13). Is (-573153)\/(-84) + n\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117437691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6503856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(24)\/sqrt(4)) - (0 + sqrt(832))**2.\nAnswer: -832 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210064 is divided by 70018.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -712.\nAnswer: -13\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**2 + 266*x - 2115. What is g(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 3 (c) 0.0463 (d) 74816\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 113 = 6*c + 148, 35 = 4*g - 3*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.05 + 34.92. Round l to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 64*a**2 + 80*a + 74. Determine r(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.272 + -1.0413341736?\nAnswer: -1.3133341736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(77)*-3*2)\/sqrt(11))**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 9 + 15. Which is the nearest to -1\/3? (a) -0.1 (b) v (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11919)\/609 - 9)*(1\/2 - 4\/16).\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-15)\/f)\/(f\/((f**(3\/17)\/f)\/f*f*f))*(f\/(f\/(((f**4*f)\/f)\/f)))**(3\/34) assuming f is positive.\nAnswer: f**(-529\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -4\/5, 4, -0.12?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1285328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 4 - 1)*((-2 - 2*w + 2)*(0 - 1 - 1) + 2*w + 3 - 3 - 3*w + 2*w - w)*(w**3 + 0*w**3 - 3*w**3) as m + t*w**4 + h*w**2 + g*w + u*w**3 and give t.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let i = 0.5 - k. Sort 5, -5, i in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 8:40 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 12:44 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 + 2*w**2 + 2*w + 2. Let u(i) = -11*i**3 - 5*i**2 - 5*i - 5. Let c be 4\/(-34) + (-32)\/17. Give c*u(o) - 5*h(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.1343505 to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - z - 3. Let l(q) = q**2 - 1 + 2 + q**3 + 2*q**2 - 3*q**2. Let k be (-9)\/(-4) - 1\/4. Calculate k*v(c) + 5*l(c).\nAnswer: c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147*w + 8282 + 8956 = 4368 - 6629 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.155 times 1.1?\nAnswer: -16.6705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -21, -49, -89, -141, -205?\n\"Answer: -6*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*v + 46970 + 65830. Is v a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1258 + 0.0458. Let a = -0.02 + -0.38. What is the second smallest value in 1, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + b + 76 + 7, 2*l - 4*b = 74. Let 8*y**2 - 6*y - 3*y - 4*y**2 + l*y = 0. Calculate y.\nAnswer: -17\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, 23, 539 in decreasing order.\nAnswer: 539, 23, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4))**(-13) assuming c is positive.\nAnswer: c**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -860648 by -1.\nAnswer: 860648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + -10) - (-62 - (53 + -110))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 393\/20 - 97\/5. Sort 0.01, q, 2\/9.\nAnswer: 0.01, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r, -2*r + 1542 = 3*o - 5*r. Does 34 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h**(1\/5))**(-27\/5)*((h\/(h*h*(h**(-4)*h)\/h*h))\/h)\/h*(h**8\/h)\/h*(h*h\/(h\/h**(-2\/3)))**(-6\/19) assuming h is positive.\nAnswer: h**(21268\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(11) - 3*sqrt(11)) + sqrt(539)*3)**2.\nAnswer: -76*sqrt(11) + 3975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -3, -174, -0.2.\nAnswer: -174, -3, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = a + 2. Let l(i) be the third derivative of -i**5\/60 + i**3\/3 - i**2. Let z(w) be the first derivative of l(w). What is z(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/199, 30, 6 in increasing order.\nAnswer: -9\/199, 6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 92, 2, 14, 9, -1 in ascending order.\nAnswer: -3, -1, 2, 9, 14, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 7\/12*y**4 + 0 + 0*y**3 - 16*y**2 - 3*y. What is the derivative of d(h) wrt h?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-28) + (-36)\/(-16). Suppose 16 = 9*k - y. Find n, given that 4\/11*n - 2\/11*n**k - 2\/11 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/320 and 37\/30240.\nAnswer: 60480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 6*k - 94*k + 26 as o + n*k and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-24)\/(-160)*-4). Let l be (-2)\/(-8) + 9\/(-4). Put b, l, 2, 0.25 in decreasing order.\nAnswer: b, 2, 0.25, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420204173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let y(d) = 43*d - 2259. Calculate g(y(a)).\nAnswer: 43*a - 2259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 4*h**2 + 20*h + 17. Calculate v(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*((sqrt(33) - sqrt(132)\/sqrt(4)) + sqrt(33)))\/(3*sqrt(24)\/sqrt(8)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 + 10010100010111011111010?\nAnswer: 10010100010111010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1029525001 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9762?\nAnswer: 2, 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from isisis?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -391a (base 12) to base 16\nAnswer: -1966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeq when three letters picked without replacement from qeqeeeqe.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*0.442.\nAnswer: -0.10166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1975 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -11*s - 4. Let v be a(-8). Let x(d) = 2 - 11 - 52*d + v*d. List the prime factors of x(3).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -310?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1557\/14532*8\/(-15)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/4*77\/(-35). Let k = 337\/62 + y. Let d(g) = g + 6. Let f be d(-7). Is k > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49907220*-4.\nAnswer: -199628880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00165 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = 1268 - 1244 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnknknkknnknnn. What is prob of picking 2 n and 1 k?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171020256 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74844\/1740 + -43 - 20868\/(-870)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6819 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968) - (-5 + sqrt(968)*-1))**2 - (2*sqrt(32) - sqrt(8) - (0 + sqrt(200) - sqrt(200)))**2.\nAnswer: 440*sqrt(2) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 9\/4, 13.855, 2\/11, -1.2 in increasing order.\nAnswer: -1.2, -0.5, 2\/11, 9\/4, 13.855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11179 + 11179 - 158*x + (-2 + 0 + 0)*(-5 + 6 - 5)*(3*x + 0*x - 6*x) in the form l*x + u and give l.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2, -3*m - 2*o = -0*m + 2. Let g(z) = z**3 + 6*z**2 + 5*z - 5. Let p be g(-5). Let k = -4 - p. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -246 - -420. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74, 670, 2384, 5816, 11566?\n\"Answer: 100*g**3 - 41*g**2 + 19*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 + 116*x**3 - 283.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 36. Suppose -2*w - 2*c - 4 = -6*c, 5*w + 5*c = 5. Sort w, 3, i in descending order.\nAnswer: 3, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 118\/41 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**3 + 497*l**2 - 204*l - 55. Give u(41).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16*d - 1020 = 0. What is the greatest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7805270 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-6) - 37\/6. Let z(v) = -v**2 - 5*v - 1. Let y(f) = -f**2 - 6*f - 1. Give s*y(c) + 7*z(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-19533144.9.\nAnswer: -97665724.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 x when three letters picked without replacement from lllxlllxllllxxxllll.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661a0 (base 11) to base 10.\nAnswer: 96063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -283919808 divided by -3?\nAnswer: 94639936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, f: 1, s: 3, x: 1, r: 1, g: 1}. What is prob of picking 1 r, 1 s, and 1 o?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171 or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3511*g**2 + 1 + 25*g**3 + 4*g + 3511*g**2)*(0 + 0 - 2*g) + (g**2 - 1 + 1)*(3*g**2 - 4*g**2 - 11*g**2).\nAnswer: -62*g**4 - 8*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492600447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let r = l + 0. Let z = -3212 + 3211. Which is the closest to -1? (a) 2 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 24*a + 744. Let v be f(-31). Solve 0 = -3*x + 3, v = -4*j + 125*x - 128*x - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(90) + -3*sqrt(90))*-5)\/sqrt(2))\/((sqrt(108)*1*6)\/sqrt(12)).\nAnswer: -25*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 0*g + 1\/2*g**2 + 158 + 5\/3*g**3 - 9*g**4. What is the third derivative of y(i) wrt i?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4921714\/5 - -984345. Let n be -1 - (-2)\/((-28)\/(-22)). Which is the biggest value? (a) n (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.4, -4, -8 in decreasing order.\nAnswer: -0.4, -4, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t**2 + t + 2. Let h be g(-1). Let w be (5\/(-2) + h)\/(15\/(-20)). Calculate the remainder when ((-19)\/w)\/((-2)\/8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v + 1. Let f be -2 - (1 - (2 + 0)). Calculate u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -6569\nAnswer: 44\/6569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 21\/((-21)\/(-4)) - -95?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5047*s + s**2 + 5047*s + 5.\nAnswer: s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6879.209ng?\nAnswer: 0.000000000006879209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -833, -860, -887, -914?\n\"Answer: -27*w - 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-288)\/(-60) - (-8)\/(-10)) + -4. Factor -1\/2*h**4 + 0 + x*h + 1\/2*h**2 + 0*h**3.\nAnswer: -h**2*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2229 = 32*s - 3079 - 3140. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n - 6. Let h be i(6). Calculate the common denominator of 866\/252 + (-6)\/(-21) and (-139)\/h - (-2)\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31726)\/290 + 57 - -43?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30369109 and 11?\nAnswer: 334060199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 304*w\/5 + 11552\/5.\nAnswer: 2*(w + 76)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 2*j - 24, -45*k + 3*j - 33 = -49*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**4\/2 + 5*t**3\/6 - 13*t**2 + 21. Let z(s) be the second derivative of u(s). Differentiate z(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(152) + sqrt(152))\/((sqrt(512) + sqrt(8))*6).\nAnswer: 5*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 405 or -17?\nAnswer: 405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 5) to base 3.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:07 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202166062?\nAnswer: 2, 7, 53, 38923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1619?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*a + 194 - 564 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -10620511 and -10620511 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 2 + n**3 + 4 - 3 + 5*n**2 + 3. Let k be p(-4). What is the second derivative of -8 + k*f + 5*f**2 - 10 + 18 wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1906 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -14790 in descending order.\nAnswer: 7, 1, -14790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1 - (-12)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 13*s**4 + 13 + (-3 + 4 + 2)*(-5*s**4 - s**4 + 4*s**4) as r*s + a*s**2 + g + k*s**3 + q*s**4 and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73 - (-1 - -31 - 14) and 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccyyycycycccycy. What is prob of picking 1 y and 3 c?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 + 28534*s\/7 + 456032\/7.\nAnswer: 2*(s + 16)*(s + 14251)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*m + 14. Solve 0*w - w - m = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((62928\/(-759))\/(-114)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-28)*-1)\/(10\/(-140)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -44, -32, -16, 4, 28, 56?\n\"Answer: 2*g**2 + 2*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.5 - 8.9. Let m = -6.7 - -6.8. What is the third smallest value in 2\/15, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-17)\/((-187)\/22)). Which is the nearest to v? (a) -3 (b) 0.5 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -864 = 57*p - 78 + 69 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1078 = -3*p, 9*p + 1082 = 6*p + f. Let k = 995 + p. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -27*m + 4. What is the units digit of n(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 1, 30 in increasing order.\nAnswer: -49, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18 - 13 + 0*h**2 - 18*h**2 + 4*h**2 wrt h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18972 and 16.\nAnswer: 75888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 10:23 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1008 and 10744314?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 776 = 196*w - 8. Factor 0*g + 2\/9*g**5 + 8\/9*g**3 + 0*g**2 - 8\/9*g**w + 0.\nAnswer: 2*g**3*(g - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Suppose -2*x + 4 = s - w, 5*s = -2*x + 12. Differentiate -s - 2*h**4 + 0*h**4 + 3*h**4 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5769*y**4 - 3*y**2 + 834*y?\nAnswer: 138456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let k be 1048\/(-786) - 10\/(-3). Calculate the greatest common divisor of k and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yztuukuuzzu. What is prob of sequence yt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68734390731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 3:39 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 91*h**2 + 179*h**2 - 108 + 57 + 120*h**2 + 51.\nAnswer: 208*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**3 + 4*b**2 - 12*b - 17. Give r(3).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 17*l - 24 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-6)*2292\/(-1528)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 - 12375*q**3 - 15299118*q**2 - 5925699840*q + 11912695200 = 0. Calculate q.\nAnswer: -2247, -940, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = 2*z. Suppose -k - a + 3 = -z, 2*a - 18 = -4*k. Suppose -2*h = -3 + 1. Sort h, 4, k in descending order.\nAnswer: k, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7751\/4 + 1920. Calculate the common denominator of q and 3\/(-6)*(-65)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640196677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3704*l + 655 - 16*l**4 - 666 + l**2 - 3705*l to i*l**2 + n*l + a + x*l**4 + g*l**3 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkkgggaalkgkaakkkg. Give prob of picking 2 a and 1 k.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25598, 51443, 77288, 103133, 128978?\nAnswer: 154823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 - 54*h**3 - 3*h**2 + 239*h.\nAnswer: 120*h**2 - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4*z = 0, 5*s - 3*z - 28 = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - 84 - (-17 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2))\/(3 - 5). Suppose m = 4*u + 2*u - 24. Suppose 0*y - 5*w - 38 = -2*y, u*y = w + 40. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 3724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80252 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: Expand (7*q**2 - 7*q**2 - 26*q**2)*(-3*q**3 - q**3 - q**3 - 2*q**3 + 5*q**3 - 2*q**3 + (4*q**2 - q**3 - 4*q**2)*(-1 - 1 + 0)).\nAnswer: 52*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16741000 rounded to the nearest 100000?\nAnswer: 16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + k - 7, -2*d - 8 = d - 2*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2906 is divided by 2792.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t - 60 = 0. Let j be 8\/(-3)*171\/t. Suppose 2*w = -3*q + j, -51 + 146 = 5*w - q. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2912 and -23\/3488264.\nAnswer: 97671392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26046, 23231, 18540, 11973, 3530, -6789?\n\"Answer: -938*y**2 - y + 26985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 100*b - 16. Let h be t(6). Suppose -y = 3*y - h. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.428742\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93767447477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 + 2*q**2 + 2. Let z(g) = -g**2 + g + 1. Let d(m) = 7*m**3 - 10*m**2 + 6*m + 1. Let j(v) = d(v) - 6*z(v). Give 2*j(s) + 5*u(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g + 0*g)*(2*g + g - g) + 2*g**3 - 6*g**3 + 2*g**3 - 5*g**3 + 8*g**3 + 7*g**3 - 630*g**3 - g**2 + 3*g**2 + 626*g**3.\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -473*c - 558*c + 130*c as a*c + d and give a.\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Suppose -2*g - 3*g + 173 = 3*x, s*g = 2*x + 168. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127085, -127084, -127083?\nAnswer: -127082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-84)*237\/(1\/1). Let p = 81 + n. Let q be -1*1\/((-3)\/3). Solve -q - 5 = -p*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - 14. Let x = g - -31. Let f be 6\/(-16)*236\/(-531). Which is the closest to f? (a) 0.1 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**2 + 62137 - 124718 + 62581.\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**4 - 7*y + y + 8*y + 11*y wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1260)\/(-336) + 1\/4. Sort 0.1, p, -102\/7 in descending order.\nAnswer: p, 0.1, -102\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26883 - 23628045.\nAnswer: -23654928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23130 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -7*w - 2*i, -2*i + 16 = 71764*w - 71762*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*n + 27 = -9*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 525805 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/33)*j*j\/((j*(j*(j\/(j\/(j\/(j*(j\/(j*j**14\/j*j))\/j))))\/j*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-431\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/30*1085*-28*(-35)\/(-3430)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2906, 11615, 26124, 46433?\n\"Answer: 2900*a**2 + 9*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203588*-13.\nAnswer: -2646644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174, -5, 0.3, 38 in decreasing order.\nAnswer: 38, 0.3, -5, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1222?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihlp when four letters picked without replacement from {r: 2, l: 1, i: 7, d: 1, h: 1, p: 2}?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25\/198 + -1\/18. Let n = -256.88 + 256. Let y = -2.88 - n. Which is the closest to y? (a) 2\/11 (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*o + 485 + 565. Let z = 1 - -5. Calculate the greatest common divisor of o and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -57. Suppose z - 20 = -z + 5*q, -z = n*q + 16. Solve 5*u + z*u - 15 = -i, -4*u + 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17002 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Let z(x) = x**2 - 3*x + 2. Let s be z(2). Suppose b*m + 3 - 33 = s. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 51. Solve g*a = -o - 18, 0*o + 9 = -o - 2*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2649 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**6))\/q*q*q)\/(q\/q**1*q)*(q**1)**(-4\/19) assuming q is positive.\nAnswer: q**(-118\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19572815?\nAnswer: 5, 37, 241, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-162) - ((-128)\/(-9) + -16))\/(92\/(-6))\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 96961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*m + 10*m - 11*m + 4 - 4 + m + (-2*m + 1 - 1)*(5 - 5 - 1) + 2*m + 0 + 0 - 2 + 2*m + 2)*(1 + 28*m - 24*m**2 + 23*m**2 + 2*m).\nAnswer: -17*m**3 + 510*m**2 + 17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(343) + -2 - ((sqrt(343) + sqrt(343) + -1 - sqrt(343)) + 3 + sqrt(343))**2.\nAnswer: -1380 - 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 41, 9991 in decreasing order.\nAnswer: 9991, 41, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11359, 45407, 102145, 181567, 283667, 408439?\nAnswer: 555877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*(-2)\/4*(-357)\/(-1071).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 11*z - 9. Let h be w(7). Suppose j - h = 65. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w - 2*w + 0*w)*(0 - 1 + 2) - w + 0 + 0 + w + w + 2*w)*(2*w**3 - 2*w**3 - 3*w**3).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 14*v**2 - 13*v - 6. Give g(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -455 - -903. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517 times 0.1\nAnswer: -51.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y + 54. Let v be f(-9). Solve -4*j + 4*g = v, -3*j + 2*g - 15 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367328638 is divided by 543?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12796823 and 9633?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 e when three letters picked without replacement from wwneznoe?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 - ((-22)\/22)\/(2\/(-8)) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(180)*1 + sqrt(180) - sqrt(180)) - (1 + sqrt(180) + -3 + (sqrt(180)*-1 + sqrt(180))*5 + sqrt(180)))**2.\nAnswer: 24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + a - 1 + (-3 - 1 + 3)*(-4*a + 8 - 8).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -138 + 78 + 63 - 2*d. Let a(c) = -7*c + 8. What is -4*a(j) + 11*x(j)?\nAnswer: 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*c - 156, 2*c - 2 = 4*w + 76. Let u = -19 - -28. What is the remainder when c is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of -6 - -71*(4 - (2 - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6823*b*f**3 - 625*b*f**2 + 2*f**2 wrt f.\nAnswer: 40938*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-6))\/((-2)\/78). Is o - (-3 - (-1 + -6)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1341 > -29.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-10))\/((-7)\/(-84)). Solve -14*w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/11)*l**(-2\/3))\/(l**0*l**(1\/3)) assuming l is positive.\nAnswer: l**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 0*k - 4*k - 3*k - 26 + 4*k. Let w be z(-12). Suppose d - w = -4*t, 2*t - 4*t - 5*d + 14 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1669 + 1669.000000764. What is j rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -54. Let i be (29\/6 + -4)\/(8\/k). Solve 5*n - 2*t + 2 = 10, -n = i*t - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4 - 2316*u + 4639*u + 3 - 2305*u. Suppose -3*l + 3*q - 6 = 0, 3*l - 2*l - 2*q + 6 = 0. Give v(l).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3960\/(-1650)*(-70)\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + (19 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2791 and -8583208.\nAnswer: -8583207.7209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 1. Let x be b(1). Suppose -4 = -u - x. Let z = 26 - u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i - 107. Give w(-3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -18031*o + 18022*o - 3*k, o = k - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 3:54 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4317 in 3, 2\/3, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265426616.\nAnswer: 2, 7, 13, 43, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 - 3*s**3 + 5*s**2 - 22*s**3 + 24*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-5 - (-1 + 3)). Let a be (-10)\/(-3) + z\/12. Suppose 0 = a*t - 2 - 6. Solve -t*h = -4*s + 14, 5*s + 2*h - 28 = h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 0*c**2 - 2*c**2 + (2 + 2*c - 2)*(1 - 1 - c) + 49633 - 604*c**2 - 49633 in the form h + x*c + y*c**2 and give y.\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i + 62. Let t(n) = 7*n + 31. Let j(b) = 4*p(b) - 9*t(b). Let a(h) = -h**2. Determine a(j(x)).\nAnswer: -9*x**2 - 186*x - 961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7008103?\nAnswer: 7008103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**5\/20 - b**3\/6 + 4*b**2 - 2*b. Suppose -27*q = 4*d - 22*q + 20, 0 = -d - 4*q - 16. Determine a(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 755331 - -4?\nAnswer: 755335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0)*(-4)\/6. Suppose -18*k - 31 = 23. What is the tens digit of (-35)\/p + k\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l = 125*l + 135*l + 7887 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -5*h + 27. Let n be 10\/(-35) - ((-96)\/(-14))\/4. Let r(x) = 10*x - 55. Let d(q) = n*r(q) - 5*m(q). What is the units digit of d(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1 = 2*i + 2*i, -k = i - 1. Suppose -p - k*z = -9 - 21, 2*p - 88 = 4*z. What is the remainder when 156 is divided by p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5081 = 438*j + 2891 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -311*h**5 - 33*h + 1.\nAnswer: -6220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - (-1281)\/147)\/((-4)\/(-7028)).\nAnswer: 2, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100110101 + 101?\nAnswer: -101100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v + 71. Let d(i) = 6*i + 71. Calculate 3*d(s) - 2*y(s).\nAnswer: 2*s + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**8\/504 - i**7\/315 - i**6\/180 + i**5\/90 + 7*i**2 - 16*i. Let b(q) be the first derivative of a(q). Factor b(o).\nAnswer: 2*o**2*(o - 1)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d**3 + 235972*d**2 - 771138*d + 188856 = 0. What is d?\nAnswer: -7869, 4\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 5*n + 3. Let u be z(2). Is u + -2 + (0 - -250) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1336 and 14529.\nAnswer: 116232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**6\/240 + r**5\/120 - 4*r**2 + 9. Let h(y) be the second derivative of u(y). Factor h(n).\nAnswer: n**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 106 = -5*t - 3*p, -18 = -t - 5*p. Suppose 2*n + h - 5*h + t = 0, -10 = 3*n + 2*h. Let f = n - -9. Solve f*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586369477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/80)\/(-9) + 4\/(-10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40170178 + -40170427.83381. Let k = n + 232.834. Let h = -17 - k. What is h rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -870*x + 838*x + 64. Let v be (2\/(6\/(-15)))\/(-1). Solve w + x = v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 88*p - 196. Let a be (-42)\/3*12\/(-24). Does 21 divide d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 91, 74, 39, -14, -85?\n\"Answer: -9*z**2 + 10*z + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -29*s**3 - 4*s**2 + 28*s + 15. Let i(f) = -3*f**3 - f**2 + 7*f. Determine 4*i(g) - u(g).\nAnswer: 17*g**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2524*z + 0 - 250*z + 0.\nAnswer: 2274*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(4\/((-16)\/(-6))) - -6. Let h be -4 + v + (55 - 4). Let i = h - 3. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/9 and 32\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 15, 3, -5, 0.1, 2\/13, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 239792018, 239792016, 239792014?\n\"Answer: -2*i + 239792020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -1\/7 in decreasing order.\nAnswer: 10, 3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 48\/1819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/315 and 13\/4480.\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -478697314 by 5.\nAnswer: -478697314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16140354 to 3 dps.\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2 + k - 8. Let g(v) = -7*v**2 - v + 7. Let b(u) = 2*d(u) + 3*g(u). Let w(i) = -4*i**2 + 2. Give -2*b(s) + 5*w(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 0 - 30*s + 13 + 29*s + 3*s.\nAnswer: 2*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 17*o + 312. Give z(0).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -j - 208, 2*j - 134 = -2*d - 2*j. Let w be 0 + d*((-15)\/(-9))\/1. Suppose -3*a = 2*i - w, 3*a - 4*i = -5*i + 113. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -1.9. Let s(n) = -n**2 - 10*n + 24. Let a be 94\/(-8) - 1 - (-12)\/16. Let k be s(a). What is the smallest value in 0.5, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*a**2 + 532 + 22*a**2 + 56*a**2.\nAnswer: -76*a**2 + 532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0 - (-6 + -1)) + -103 + (146 - 104)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991*p - 22531 - 11519 = -371*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1712, -1681, -5, 3, -2, 0 in descending order.\nAnswer: 3, 0, -2, -5, -1681, -1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - 0 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27380 - 14012 - 15216 - 3*a**2 + 255*a = 0. What is a?\nAnswer: 8, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -5 (c) 37\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029420 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**5 + 362893*t**4 + 2*t**3 - 2437296*t**2 wrt t.\nAnswer: -120*t**2 + 8709432*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3899 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 67\/5 of a centimeter?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 3, 0.5, -236.4, -0.4, 0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 84*o**2 + 167*o - 367. What is the remainder when (-617)\/(-5) + (-10)\/25 is divided by w(-86)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 14 = -12*h, h - 17148*o - 8 = -17143*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yykykky. Give prob of sequence yyky.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4186*s = -3916*s - 12420 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24063270 and 1785?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1198 + 1194. Let r = 0.1 + -0.2. Let v = 0.43 + -0.03. Which is the third smallest value? (a) s (b) r (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61251 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*w + 11, 0 = -2*w - w + o + 4. Suppose -c + 1 = 2*a, a - w*c = 3*a + 5. Suppose 2 = -a*t + 14. Calculate the greatest common divisor of t and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 20768 = -4*t + 20867, -4*c + 2*t - 72 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8257883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {u: 9, g: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 714 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-10)\/(-4))\/(4\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42087 - 30472. List the prime factors of l.\nAnswer: 5, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40845 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-162778)\/294 - 4\/(-6). Let p = u - -758. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1214 = -4*a + 9*a, -3*h + 2*a = -3655. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11723 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, 0.02, 0.5, -0.211?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019797191 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/656 and 43\/176.\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-55)\/(-22)*(-4)\/95.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22695871 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -0.51. What is the closest to 1 in -0.5, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**5\/3 - 12920*w**4\/3 - 10535833*w**3\/3 - 166373315*w**2\/3 - 882559579*w\/3 - 1562381645\/3 = 0.\nAnswer: -1607, -11\/2, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4 - 1734490*g**2*y**2 + 410*y**2 - 2081*y - 2 with respect to g.\nAnswer: -4*g**3 - 3468980*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4626 and 2659 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*v = 36*v - 720. What are the prime factors of (-126)\/v - (-11649)\/15?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7093*k**4 - 1387*k**2 + 19365623*k.\nAnswer: 85116*k**2 - 2774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 56328?\nAnswer: 1182888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3389136.7056 and 679?\nAnswer: 3388457.7056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((5 - -1) + -6 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21538798 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1807, 1881, 2105, 2557, 3315, 4457?\nAnswer: 6061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 21.3. Let a = -4369 - -4390.19. Let o = q + a. What is o rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose 0*j + 3*s = y*j - 183, 3*j + 5*s = 143. What is the common denominator of -127\/42 and (-28)\/32*j\/(-22)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66420312 divided by -562884\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1233003062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (0 - (-2 + 6))) + (183 - 184).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8 + 9 - 2*l + 3*l + l**2. Let s(n) = -17*n**3 + 3*n**2 + 6*n + 6. Let y(d) = -s(d) + 6*z(d). What is the third derivative of y(r) wrt r?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -17*b**2 + 7*b - 21. Let l(j) = -2*j + 5 - 178*j**2 - 181*j**2 + 363*j**2. Determine -9*l(t) - 2*p(t).\nAnswer: -2*t**2 + 4*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -737 + 753. Solve -3*i - v = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(605) + 1 + -1 - ((sqrt(605) - (sqrt(605)*-2 - sqrt(605)) - sqrt(605)) + -3 + sqrt(605))*6) + -1)**2.\nAnswer: -7084*sqrt(5) + 320241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -29. Let n = -9 + 16. Suppose -5*k - o = -n*k. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 + -244. Let n = 82 + h. Solve -5*v + w - 10 = -40, 0 = w + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 - -396?\nAnswer: 396.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - f. Let p be t(1). Let b(w) be the third derivative of -3*w**4\/8 + w**3\/3 - 306*w**2 - 28*w. Let x(o) = 10*o - 3. Calculate p*x(s) + 3*b(s).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(125)*-3 - sqrt(20)\/(sqrt(576) + sqrt(576) + (sqrt(576) - sqrt(576)*-3))) + 4.\nAnswer: 4 + 1079*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucccucccccccuccccc. What is prob of sequence ucu?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*v + 12 = 0, 1 = 4*f + 4*v + 5. Let o be (0 + -31)\/(-4 - -3). Let g = o + -28. Sort f, 12, g, 1 in increasing order.\nAnswer: f, 1, g, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1962760\/9121 + -123\/1303. Let w = -2380638145\/112 + 21255485. Let z = w - j. Calculate the common denominator of z and -17\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-17)*d*d*d**(-2\/3)*d**(-7\/6)\/(((d*d**12*d*d*d)\/d)\/d))**(-2\/17) assuming d is positive.\nAnswer: d**(173\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.694 + 6.924. Sort 2, r, -0.5, -0.4 in descending order.\nAnswer: r, 2, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118.58 + -119. Let f = r + 0.4199971. What is f rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13*s**3 - 1. Let k be a(1). Suppose -6*p + k = -2*p. Let o = 0.395 + -0.895. What is the nearest to 2\/3 in o, p, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3208.7 - -3209. Let g = -0.05 + 15.05. What is the fourth smallest value in 0, g, u, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y - 2*y)*(-10*y + 25*y + 8*y)*(-2*y + 0 + 0)*(0*y + 2*y - 3*y + (-2 - 4 + 3)*(0*y - 2*y + 0*y)).\nAnswer: 920*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/121 and (278\/4865)\/((176\/(-60))\/(2\/3))?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 1. Let n be t(4). Let m = -1 - n. Let u(a) = a**2 - 2*a + 1. What is the units digit of u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 66 = -3*l - 62, -5*b + 33 = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 4 = -46 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 74 + -76 - (-21 + 0 + -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v - 72. Calculate l(14).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 295072?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 531*y**2 + 5206*y + 6. Calculate p(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 9*v - 4*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**32\/(y\/(((y*y**(-1\/43))\/y)\/y)))\/(y**11*y*y\/y**(-1\/2)) assuming y is positive.\nAnswer: y**(1417\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1276 by 319.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835*z**3 - 533*z**3 - 397*z**3.\nAnswer: -95*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 6)*(7 - 7 + 4*o)*(-375 - 24*o + 375).\nAnswer: 288*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*1\/(-2)*58\/(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*u - 4804. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0734 and -0.03.\nAnswer: -0.002202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/47965 and 2\/431685?\nAnswer: 431685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:52 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(45) - (1*sqrt(80) - sqrt(5)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - n + 2. Suppose -30 = -5*k + 2*k. Let p(s) = 8*s + k*s**2 - 5*s**3 + 2*s + 9 + 4*s**3 + 2*s**3. Let u be p(-9). Determine l(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 226 = 4*l + 202, -25 = 4*l - 9*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(98)*4)**2 + 4 + ((-1 + sqrt(98) + sqrt(98))*-5)**2 + 4*(sqrt(98) + 1*sqrt(98)).\nAnswer: -644*sqrt(2) + 8261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*t - 1150 = 460*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77900862 and 129834770.\nAnswer: 389504310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 0*d + 2 + 0*d + 4*d**2 + 0*d. Let k be m(-2). Calculate the greatest common divisor of 36 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -0.223 (c) -39 (d) -0.089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1 + 7 - 4 + a + a. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24989891 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 + 37*x - 37*x + (6*x**2 - 8*x**2 - 2*x**2)*(0*x + 2*x + 0*x).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 625871288 divided by -95291.\nAnswer: -6568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 11 - 1 + (-5 + 2 + 2)*(-1 + 2 + 0))*(983*r**3 - 2089*r**3 + 688*r**3) in the form u + l*r**3 + t*r**2 + x*r and give l.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:53 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 20. Let u be f(-10). Let s = 0 - u. Solve 3*h + s = -6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 0*l + 51 = -2*l + 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**2 + 10*v - 17. Let k(x) be the second derivative of x**4\/3 - 7*x**3\/6 + 11*x**2\/2 - 8*x - 88. Calculate -8*k(d) - 5*q(d).\nAnswer: -2*d**2 + 6*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 6*a**2 - 2*a + 8. Let i(m) = -m**2 + 8*m - 6. Let u be i(6). Let b be r(u). Let o = 0.5 - 0. What is the second smallest value in b, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1052 (b) -1\/5 (c) -1 (d) -1\/3 (e) 4\/17 (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0*i**2 - 1\/20*i**5 + 1\/6*i**4 + 0 - 1\/30*i**6 + 27*i + 0*i**3. Suppose g(h) = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 438*f. Let r(i) = 430*i - 1. What is 5*l(b) - 6*r(b)?\nAnswer: -390*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1100000000?\nAnswer: -1100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-42)\/(-6) + 0)\/((-2)\/(-68806)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 37*a**6\/24 + 16*a**5\/3 + 233*a**2. What is the third derivative of s(h) wrt h?\nAnswer: 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869600 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 3:33 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = 6*i - 1873. Differentiate i*z - 207*z + 39 - 203*z wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95937043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {x: 6, w: 3, i: 6}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 1\/12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247 + -243. What is the second biggest value in 68, -0.5, -2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ululuouuuooos. Give prob of picking 1 l and 1 o.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 0*m**2 + 16*m**3 - 43*m**3 + 6*m**3 - 4*m**3 - 10*m**3 + (-m**3 - 2*m**2 + 2*m**2)*(4 - 2 - 4).\nAnswer: -33*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -52*y**2 + 8. Let c(g) = g**2 - 2. What is 3*c(v) + o(v)?\nAnswer: -49*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363967915?\nAnswer: 5, 113, 644191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1452 + 23223\/16. Let b = 38533657\/12 + -3215174. Let c = -4048 - b. Calculate the common denominator of h and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -682, -1430, -2178, -2926, -3674, -4422?\n\"Answer: -748*p + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -21. Let k = 8 - -2. Let r = 46 - k. What is the greatest common divisor of r and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 150, 251, 352, 453, 554?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3248208 and -0.3?\nAnswer: 974462.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 2*p + p + (-4 - 5 - 1)*(4 - 4 + 2*p).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**4\/6 - 2*s**2. Let p(v) = 65*v**2 + 61*v**2 + 63*v**2 - 190*v**2. Determine u(p(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/2 in 4, 2, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.3 - 14.2. Let v = 1025\/44 - 91\/4. Let r = 442\/33 + -151\/11. Which is the second smallest value? (a) y (b) v (c) r (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31349, -37240, -43131, -49022, -54913, -60804?\n\"Answer: -5891*c - 25458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4390.8 and -0.8.\nAnswer: 4390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2880427 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 1594*a - 568*a**2 + 2948*a - 1558*a - 2*a**3 wrt a?\nAnswer: -12*a - 1136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1880*h + 87*h + 629*h)*(7*h - 2*h + 8*h).\nAnswer: -15132*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90950 by -850.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1)*17104\/(-2138)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277973?\nAnswer: 137, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - y**4 + 1 + (-4*y - 3*y + 5*y)*(2*y**3 + 0 + 0) - 61661*y**3 + 123312*y**3 - 61651*y**3 - 9*y**4 + 42 + y**3 - y**3 - y**4.\nAnswer: -15*y**4 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 9 = 56. Let n(k) = -7*k - 189. Calculate the remainder when n(-36) is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2274, 4483, 6692, 8901, 11110?\nAnswer: 13319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 18 = 5*h, 7*p + 3*h = 2*p + 30. Suppose -p*k + 3*k = 0. Let q be k + (2\/2)\/1. Sort 3, q, 4 in decreasing order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(99) - sqrt(11)) + sqrt(11) + (sqrt(1584) - 2*sqrt(1584) - sqrt(11)).\nAnswer: -31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/53 + 591\/106. Is 5 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -28*d**5 - 456*d**4 - 1920*d**3 - 512*d**2 = 0.\nAnswer: -8, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51\/2 + 25. Which is the nearest to -0.1? (a) 4 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7 + 9 - 8 - 23*d + 6. Let w(s) = 4*s**2. Calculate w(u(b)).\nAnswer: 2116*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117794938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -840 divided by -6.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*(3 + -21). Let o(z) be the first derivative of z**2\/2 - 3*z - 1. What are the prime factors of o(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2761920, -2761923, -2761926, -2761929, -2761932?\nAnswer: -2761935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/67?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1005 and 7370?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1*(-6)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -9, 4.\nAnswer: -9, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 + 2*c - 4. Let v = -32 + 37. Calculate the least common multiple of m(-5) and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**2 + 10*r - 6. Let y(h) = -4*h**2 - 5*h + 4. Let t(n) = 2*w(n) + 5*y(n). Find the common denominator of t(3) and 89\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/336 + 18\/8. Solve -5*m + 12 = -o*z, 24*z - 29*z + 2*m + 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 93. Let i = 45.0000157 - p. Round i to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -1\/4*f**3 + 0*f - f**2 + 6 - 1\/12*f**4 - 1\/120*f**5. Determine q, given that m(q) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5604739 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37531 is divided by 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6.06. Let z = 11.9 - 9.96. Let n = z + w. Is n < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10\/((d**(4\/25)\/d)\/d*d) assuming d is positive.\nAnswer: d**(271\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73710?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 s when three letters picked without replacement from {e: 1, h: 2, w: 1, s: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from lluuxuuxuuuu.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 5. Suppose -b - b + b = 0. Let k be g(b). Let i be ((-2)\/k)\/((-17)\/170). Solve -i*w = 5*x - 40 + 7, w - 2 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v - 25 = 0. Suppose 0 = -4*x + 12, 22 + 15 = t + 2*x. Let k = t - v. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g**(-2)\/g)\/g*g)**(-42)\/((g**(1\/18)*g)\/(g*g**(-10))))**47 assuming g is positive.\nAnswer: g**(27025\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/(-6))\/((-2)\/(-6)). Suppose 23*i = 15*i + 88. Suppose 10*n = 6*n + 12. Sort n, l, -4, i in increasing order.\nAnswer: l, -4, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**4*l**2 - h**2*l**2 - 46*h*l**2 + h + 1 wrt h?\nAnswer: 60*h**2*l**2 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 = -2*r - 18, 0 = 4*r + 12. Let c = 10 - 16. Let w be (4\/c + (-2)\/(-3))*1. Solve -2*y - v = -w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2\/(-10))\/(21\/(-350))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19019704 + -1?\nAnswer: 19019703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - b + 391 = -3*d, 0 = -4*d - b + 1579. Suppose -4*q + d = -28. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.3 - 10. Let r = 2.3 - d. What is the second smallest value in 2\/5, 6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000101011111101011 (base 2) to base 14\nAnswer: 170b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/60 + z**4\/8 + z**3\/2 - z**2. Let p be u(3). Solve -7 - 10 = 2*q + 3*i, 3*q + 3 = p*i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06514567 rounded to 4 decimal places?\nAnswer: 0.0651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 38.9. Let x = 1.1 + -1. What is the closest to 1\/2 in i, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304565 (base 8) to base 2\nAnswer: -11000100101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 131265, 131267, 131271, 131277, 131285, 131295?\nAnswer: 131307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) -1.2 (c) -0.3 (d) 3 (e) -1859\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472179294338 + 472179294338 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 1\/24*t**4 - 2\/3*t**3 + 0 + t - 1\/60*t**5 + t**2. Let d(x) be the first derivative of o(x). Calculate d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 2 + -4 + 1 - (27 + -74 + 43)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 4. Let x be (2 - -7)\/((-6)\/a). List the prime factors of x\/(-5)*1*-10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 31*s. Let d(x) = x**3 - 3*x**2 - x - 7. Let r be d(3). Let f = 14 + r. Let q(o) = f*o + 2*o + o - 9*o. Calculate j(q(k)).\nAnswer: -62*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 21*a = -32. Suppose 5*i + 4*s = -28399996, a*s - 269514 - 11090490 = 2*i. Round i to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4527 - -4523. Let m(g) = 7 - 2 + 2*g + 0. Let w(q) = 2*q + 6. Calculate x*m(y) + 3*w(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f. Let d(a) = -a**2 - 7*a - 5. Let b be d(-6). Let j be h(b). What is the common denominator of -19\/14 and (j + 46)*(-6)\/32?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 480744*m - 10095183.\nAnswer: -(m - 480723)*(m - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -581 - -943. What are the prime factors of i?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 4*n + 1. Suppose d - 5 + 3 = z, -4*z + 8 = 0. What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/110*1\/(-4). Is 1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1190 and -81\/41650.\nAnswer: 41650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 1 - 13. Put -2, h, 4 in ascending order.\nAnswer: -2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 56.9. What is the third biggest value in -3, d, 2, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14777633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - -1 - (-2 + 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnf when three letters picked without replacement from fhkknfnnkfffnfnfffhf?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*4 + -2)**2 + ((sqrt(832) - (sqrt(832) + -3)) + sqrt(13))*1.\nAnswer: -79*sqrt(13) + 5207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 1912086?\nAnswer: 19120860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 55 = 7*c. Let m(z) = 2*z - 1. Let i(h) = -h + 4 - 2 + 0. Let q(t) = -3*i(t) - 2*m(t). Let f(n) = n + 3. What is c*f(o) + 3*q(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10410, 20829, 31248?\nAnswer: 41667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (403*j - 777*j + 150*j)*(-3 + 4 - 3) to the form p*j + f and give p.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*z = -2*b + 81*z + 918, 0 = -2*b + 2*z + 920. What is the highest common divisor of 4 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 296 = z, z = 4*i - 0*z - 288. List the prime factors of i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*k - 3*y, 5*k - 2*y = -20 + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u = -47 - 28. Let y = 6 + -4. Let f(o) = -o**3 + 3*o**2 - 4*o - 1. Let x(a) = 3*a**3 - 6*a**2 + 9*a + 1. Let h(q) = y*x(q) + 5*f(q). Calculate h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167632368*m**4 - 13283791*m + 3 wrt m?\nAnswer: -2011588416*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -328, -360, -392, -424, -456?\n\"Answer: -32*d - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - t - 6 = -26, -4*j = -4*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 37*y + 53 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:07 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 11653?\nAnswer: -11654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*t - 41, -4*h = 4*t - 55 - 109. Sort -3, h, 4 in descending order.\nAnswer: h, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**2 + m. Let r(o) be the third derivative of 2*o**5\/15 + o**4\/24 - 65*o**2 - 1. Give -6*f(c) + 7*r(c).\nAnswer: 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 0*m = -2*m - 4, 3*m + 13 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550518121?\nAnswer: 43, 677, 18911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*l + 8 = -4*l, 4*l = -16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44704.\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f**3 + 0 - 12*f**3 + 44*f**3 + 0.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -4 (b) -26 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 3. Let l be c(2). Let s(k) = 8*k + 93. Let m be s(-11). Find the second derivative of -l*n + 6*n**5 + 6*n**5 - n**5 - 5*n**m wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86858376881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*z, -q = 3*q - 4*z - 60. Suppose 4*f + 3*m = 34, 4*f + 0 = 4*m + q. What is the smallest value in f, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 22753 - 2*p - 22755. Let t(a) = 33*a + 9. What is -21*r(h) - 5*t(h)?\nAnswer: 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46)\/(-14) + (-20)\/70. Solve 0 = 3*i + 6, -c*i - 2*i - 35 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 382 + -376. Solve w = r*w + d + 17, 5*d = 3*w + 27 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 + -0.7092?\nAnswer: -1.1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1771 is divided by 447?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/24 - r**3\/2 + r**2 - 2*r. Suppose -2*n = 10 + 2. Let x be f(n). Solve -x*q + 8*q = -20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1462 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7541 is divided by 2497?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 18. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*l - 91 = 35, -i = -3*l - 22. Let n = i - 61. Let w = 28 - n. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -8 + -8 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -4*n - 15. Suppose 445 = 2*x + n*u, -3*u = -3*x + 220 + 440. What is the remainder when x is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10954 + 6*z + 12*z - 10954.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nendnbxnenxnnnnnmn. What is prob of picking 1 x, 1 b, and 1 m?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -246, 1\/4, -2\/9 in increasing order.\nAnswer: -246, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -0.2, 0.\nAnswer: -0.2, 0, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3720*i - 342290. Give v(-92).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -21*q + 200508. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1162 + 2805. Is 31 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/792*-11*(1 + (-15)\/20)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*g**2 - 72 + 87 + 56*g - 58*g)*(-3*g**2 - 4*g**2 + 4*g**2).\nAnswer: -78*g**4 + 6*g**3 - 45*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1163 + 2750. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7314 and -0.03966.\nAnswer: 290.07324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 42 - 596*o + 19.\nAnswer: -596*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w + 12, -4*w = c + 10. Let m(k) be the first derivative of -9\/2*k**c - 7*k - 1. Differentiate m(f) with respect to f.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 6337434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 0)*(3*r - 5*r + r) - 25*r + 35 - 35.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 4*b + 2*b)*(6*b**3 - b**3 - 2*b**3)*(-9 + 37 - 27) as r + l*b**2 + t*b + o*b**4 + k*b**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v + 2*z + 10, -v = -3*z - 3. Let g be (12\/56)\/(6\/8). Let o be -4*2*(-3)\/24. What is the nearest to v in o, -5, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*w**2 - 288*w**2 - 286*w**2 - 283*w**2 + 1135*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 3, 9 in descending order.\nAnswer: 126, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 17651, 5, 1, -2, 3 in descending order.\nAnswer: 17651, 5, 3, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002539 rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367 + -363. What is the second derivative of -19*s**i - 49*s**4 - 56*s - 14*s**4 wrt s?\nAnswer: -984*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 15*a + 12. Let m be j(-15). Solve -3 = 3*l + 3*p + m, p = -5*l - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 47*s - 240. Calculate i(41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (194\/(-1455) - (-199)\/30) + 14\/(-4). Let b be (-4)\/3*(-9)\/(-2). Let l be 23\/5 - b\/15. Solve -l*a + i + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52372 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10, -2*x + 4*x + 4*v - 24 = 0. Sort -6, -38, 1, x, 5 in decreasing order.\nAnswer: 5, x, 1, -6, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -236 + 247. Solve 39 = d*w - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**3 + 60*r**2 - 2. Calculate l(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(1\/2)\/((-6)\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 330919, 661816, 992713?\n\"Answer: 330897*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.092 - 16. Let z = f + -0.09200164. What is z rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**3 + t**2\/2 - 5*t. Let c(d) = -d. Let m be c(2). Is g(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3928399 millilitres to litres.\nAnswer: 0.0003928399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 366175550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 26. Calculate the greatest common factor of 44 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43462944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/341 and 151\/66.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -14533439.292 to the nearest 1000.\nAnswer: -14533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1081733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:50 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 1 - 3)*(-21 - 3 + 34)*(3*w + 8 - 8) to z + d*w and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 4*y + 21 = 0, -5*o - 5206*y + 5210*y = -23 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 923 and 5467?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 77556*r - 465368. Determine g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35521 and 6?\nAnswer: 213126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26122, -52246, -78370, -104494, -130618?\n\"Answer: -26124*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12533 to three dps.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 207 = -3*s, -s = 5 - 1. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-3*sqrt(12)) + sqrt(14))\/(sqrt(162)*4).\nAnswer: sqrt(7)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-9)\/(-54) + (-23)\/(-6). Let m(j) = -j**2 + 2*j - 3. What is m(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*t + 6 = 0, 5*c = -2*t + 4 + 1. Let a = c - -1. Let k be 5\/60 + (-2)\/6. Is k greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 387\/(-24)*((-1100)\/(-198))\/(-25)*2.\nAnswer: 43\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -21 - (9 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 649*w - 1. Let y be m(9). Suppose -5*z + 4*x + y = 3*x, -3*z + x = -3502. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.202 (b) -44\/49 (c) -1\/384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12694 + -4717. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z. Let w be -1*(-43 - (z - 1)). Suppose 0 = -m + 2, s - 5*s + m = -w. Solve 2*v + 5*x = -s, x + x = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3)*(-10 - -1). Let f be 72\/16 + g\/(-2). Suppose 2*t = f*t - 124. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72464?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53.73 and 0.5.\nAnswer: 54.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + c**2 + 0)*(-1 + c + 1) + (-1 + 1 + 2*c)*(0*c**2 + 3*c**2 - 5*c**2) - 25*c**3 - 19*c**3 - 7*c**3 + 4*c**3 + 6*c**2 - 6*c**2.\nAnswer: -50*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7855 (base 10) to base 2\nAnswer: -1111010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 q, and 2 r when four letters picked without replacement from {s: 2, r: 5, m: 2, f: 6, q: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347046.\nAnswer: 2, 17, 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w. Let l(u) = 3186*u. Give x(l(q)).\nAnswer: -6372*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.849561 minutes in nanoseconds?\nAnswer: 230973660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in 0.5, -2\/17, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5820728 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -533 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h = 42*h - 83*h - 168 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754811 to the power of 1\/2, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 82*w**2 - 1563*w - 768. What is d(51)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3 - z**2 + z**3 + 0*z**3 + 0. Let h be b(3). Suppose -5*n + 0 + h = 0. Solve n = -2*s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m + 1. Let l(b) = -b**2 + b + 1. Let t(a) = -g(a) - 2*l(a). Let d be (1 - -9) + 873\/(-582)*52\/6. Calculate t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/15 + 0)*5. What is the closest to -1 in b, 4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -34*s**4\/3 + 52*s**3\/3 + 2*s**2 + 1034*s. Find the second derivative of x(c) wrt c.\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4914619763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t + 1. Let w(x) = 1252*x**3 + 986*x**2 + 72*x - 18. Let c(u) = 18*m(u) + w(u). Find the third derivative of c(h) wrt h.\nAnswer: 7620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*2*-1*(-12)\/24\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3))**(-32)*((j\/(j**4*j)*j)\/j)**(3\/7))**(-27\/5) assuming j is positive.\nAnswer: j**(-3564\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 64 + 654. Let f(j) = 678*j - 186*j - b*j. Let m(t) = -2*t. What is f(m(l))?\nAnswer: -266*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 199747 and 532?\nAnswer: 5592916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = -5*r + 11*d + 6445, -3*d - 1293 = -r. What is r rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (16 + -26) - (27 - (7 + -3 + -3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 40 = -3*l. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.07 - 0.07. Let r = m - 0. Let u = r - 4. Which is bigger: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -35*w**2 - 2*w - 6. Let v(p) = -71*p**2 - 4*p - 13. Give 13*o(m) - 6*v(m).\nAnswer: -29*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*m - 437*m = -4914 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/110*2\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -157, -578, -1285, -2272, -3533, -5062, -6853, -8900?\n\"Answer: c**3 - 149*c**2 + 19*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 21*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70 + -76. Let n(k) = -k**3 - 6*k**2 + 8*k + 5. Give n(l).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 1327844*s + 2655692.\nAnswer: -(s - 1327846)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1128, -2220, -3312, -4404, -5496, -6588?\n\"Answer: -1092*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2748 + -2700.48. Let w = h - 65.542. Let k = 18 + w. Round k to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10)*5)\/((-3)\/(-36))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/10)\/(531\/(-3507255)). Which is greater: y or -1326?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -63, -92, -119, -144, -167?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 19 - 17 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w - 64. Let r = w + 102. Suppose 4*j - i = 2*i + 139, -2*i = -2*j + r. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 5. List the prime factors of m(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*i - 5. Let l be 0 - (1 + i + -8). Differentiate 0*u**l - 5*u**4 - 3 + u**4 with respect to u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3, 3, 2.42, -18556?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-11 - (-28 + -24 + 38))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1629.605 and 54.4.\nAnswer: -1575.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/36)\/(2\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 30*f - 48. What is the tens digit of d(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - 3\/15*10. Let w(j) = j - 3. Let s be w(0). Sort 0, s, n in descending order.\nAnswer: 0, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*g + 1044*g + 878*g in the form y*g + o and give y.\nAnswer: 2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 240. Let v = n + -43. Solve 7*p + 3 = 3*p + w, -2*p - v*w - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -46*w**2 - 66*w + 199. Let u be h(-1). Calculate the highest common factor of u and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**20*i*i*i\/(i\/(i\/(i*i**4)))*i*i\/i**2)**(14\/11) assuming i is positive.\nAnswer: i**(532\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.039 - -2.939. Which is the nearest to r? (a) -292 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1. Let n(r) = -2*r**3 + 15*r**2 - 7*r + 4. Let k(j) = n(j) + 3*t(j). Let h be k(7). Solve 5*f - 3*v + h*v = 3, -2*f = -2*v + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 4925452 = 0. Let j(m) = -725451*m**2 + m. Let d be j(-1). Let o = d + r. Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(3 + 2) + 1\/1. Let x be (-2)\/4*1*-2. Solve 5*p - 3*z = -5*z - t, -2*p - z = x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -2\/15, -0.111?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 9*b + 1. Suppose -q + 2 = -4. Let j be d(q). What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + q**3 - 35*q + 7*q.\nAnswer: q**3 - 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2370 (b) 0.5 (c) -0.1 (d) -2\/3 (e) 3.6 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 + 316. Let c = 275 - k. Is 17 a factor of (2\/(-6))\/(c\/(-204) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r + 30*r + 99*r - 14220*r**2 + 170*r wrt r.\nAnswer: -28440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 42*t**4 - 21*t**4 + 2*t**3 - 20*t**4 + t + 0*t to v*t + c*t**2 + p*t**3 + f*t**4 + k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(624)\/sqrt(3)*4)**2 + (-2 + sqrt(13) + 1 - sqrt(39)\/(sqrt(9)\/sqrt(3))).\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 841, 1653, 2431, 3163, 3837, 4441, 4963, 5391?\nAnswer: 5713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 276*j**3 + 424*j - 2168. Is f(5) a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468141?\nAnswer: 3, 101, 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 470099 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 + 2*r + 5. Let h be t(0). Solve -4 = h*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102527923 = -7*k + 102528574 for k.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*v + 146, 2*v = -12*x + 7*x + 199. What is the third derivative of 9*g**3 + 17*g**2 - 633 + 633 - x*g**3 wrt g?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 58. Suppose 0 = -5*l + 13 - t. Let i(b) = -3*b**2 - b. Calculate i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6576 is divided by 104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 449 (base 11) to base 16\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f - 12 = -2*x, 0 = -2*x + 8. Let g(y) be the second derivative of -y**4\/12 - 5*y**3\/6 + 4*y. Calculate g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/16 - (6 - 1). Let m = -0.058 - 67.942. Let u = 71 + m. What is the nearest to u in -2\/5, 1\/6, f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/120 - 3*v**5\/20 + v**4\/24 - 3*v**3\/2 - 13*v**2 + 24*v. Give m(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3667249 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -39, 4, 496 in decreasing order.\nAnswer: 496, 8, 4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*g**3 + 3*d - 8*g**4 + 7*g**2 - 3*g + 1018 wrt g.\nAnswer: -6*d*g - 96*g**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47024*d**3*k**3*u - 26*d**3*u - 8*d**2*k**2*u - d*k**3*u**2 + 27*d*k**2*u + k**2*u**2 + 1 wrt k?\nAnswer: -282144*d**3*u - 6*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -96*m + 9. Let x be p(-2). Suppose -240 - x = -4*s - k, -3*k = -4*s + 453. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = o + 12055, 5*k - 20093 = -3*o + 5*o. Suppose 5*q + 5*l - k = 63, q + 3*l - 814 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64319059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26022067 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 12, -510*o + 511*o + 62 = 3*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -0.053?\nAnswer: -1.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 68332*w. Let z(f) = 8*f**2. What is l(z(h))?\nAnswer: 546656*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16774352*x**2 + 50 + 16774244*x**2 - 48.\nAnswer: -108*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 7 = -13. Suppose -n*z - 1086 - 1314 = 0. What is z rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = -2*k + 288. Let i = k + -37. Let t(j) = j**3 + 6*j**2 + 3*j - 6. Let w be t(i). Solve 9*x = w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371169 and 3495?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1abb93 (base 12) to base 15\nAnswer: 96480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2697*k + 72 + 154 + 6. Let d(t) = 58*t + 5. Let q(i) = -232*d(i) + 5*h(i). Let u(w) = -2*w. What is u(q(m))?\nAnswer: -58*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2. Let j(r) = -r + 27. Determine d(j(w)).\nAnswer: -2*w**2 + 108*w - 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m + 4. Let j(l) = 499*l + 582*l - 1250*l. Give n(j(h)).\nAnswer: -676*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose -26 = -b*o + 114. Suppose 3*l + i = o, -3*l + i + 3*i + 65 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -101101000?\nAnswer: -101101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181.7783 - -30.3407. Let x = r - 0.119. Let v = x - 139.8. Round v to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*z - 20. Let c be (-5)\/z*0\/(-1 - -2). Solve -3*w + f + 8 = c, 4*f + 21 = 2*w - w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.58239 and -25974.588.\nAnswer: -25974.00561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -313\nAnswer: 5\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 5*d**2 - 9*d - 14. Suppose 4*k - 16 = 2*j, -k = -5*j - 18 - 4. Let p be x(j). Calculate the remainder when 50 - (-3)\/(p\/4) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 16 = -4*o, 3*y + 0*o - o = 4. Solve -z + 2*v - 12 = y, -6 = -z - v - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8257 - 2?\nAnswer: -8259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(65) - (sqrt(65) + sqrt(65)*1)) + sqrt(65) + sqrt(65))*-2)\/(-2*sqrt(605)))**2.\nAnswer: 13\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-1)\/sqrt(6))\/sqrt(2).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 7. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-21))\/((-26996)\/476 - -58).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/11 and -29\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1295 - 1256 + 14*a - 115 - 16*a.\nAnswer: -2*a - 2666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3273 - -3273.2. Put -2\/7, q, 7, -2\/27 in decreasing order.\nAnswer: 7, q, -2\/27, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3750, 3529, 3308, 3087, 2866, 2645?\n\"Answer: -221*s + 3971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5\/4 + 9*t**4\/2 + 117*t**3\/4 + 12*t**2 - 45*t = 0 for t.\nAnswer: -3, -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*g**4 - 196*g**3*j - 2615*g + 212384296*j wrt g?\nAnswer: 172*g**3 - 588*g**2*j - 2615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-2)*25\/((-75)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*r - 2. Let t(o) = 2*o + 3. Let y(j) = -5*j - 9. Let l(a) = -11*t(a) - 4*y(a). Let w(k) = 5*k + k + 0*k - 8. Calculate r*l(z) - 3*w(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m. Suppose -j + t - 1 - 4 = 0, m = j + 2*t - 10. Suppose j*l - 7*l + 679 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y**2 - 3*y**2 + 332 - 2*y**2 + 21*y**2.\nAnswer: -2*y**2 + 332","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 91204 = 91204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 316 - 1. Let d be ((-280)\/98)\/(5\/(j\/6)). What is the greatest common divisor of d and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 11. Let w = 11 - t. Suppose -2*a = 3*r - 13 - 65, a + w*r = 34. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/358 - -11923\/3580. Let p(i) = -i**2 - 8*i - 7. Let q be p(-9). Find the common denominator of (-6)\/58*68\/q and o.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + ((sqrt(44) - (sqrt(44)*2 + sqrt(44)) - sqrt(44))*3 - sqrt(44)) + sqrt(44))\/(-1*sqrt(576))*-3.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*a - 896 = -892*a - 74*s, 3*s = -4*a + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eihi when four letters picked without replacement from wiewhiww?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 487050284 a multiple of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + ((-3)\/6 - (-42)\/(-12)). Suppose v = -7*n + 715 + 90. Is n a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 23506*s + 16947880. Give o(-721).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 1:44 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-12) + 3)*3. Let r be 68\/(-85)*s\/(-4). Solve -6*t = -r*t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*f**4 + f**3 - 1 - 1 - 5*f**4 - f**2 as k*f**3 + i*f**4 + d + n*f + p*f**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/2)\/(16\/32). Suppose p*d = d + 90. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2181 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 192.0128 - 0.0128. Put 2, -2, u in ascending order.\nAnswer: -2, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -449267*g**4 - 604037*g wrt g?\nAnswer: -5391204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*w**2 - 35*w**4 - w**3 + w**3 + 37*w**4 + 2*w - w**5 wrt w.\nAnswer: -60*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780544 and 1365952?\nAnswer: 5463808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 7*g**2 + 3*g - 3. Let h be (-10)\/((-35)\/7)*-2. Let f(l) = -3*l**3 + 7*l**2 - 4*l + 4. Calculate h*z(r) - 3*f(r).\nAnswer: r**3 + 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4933, 19614, 44041, 78214, 122133, 175798, 239209?\n\"Answer: 4873*b**2 + 62*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7495164?\nAnswer: 2, 3, 17, 37, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((sqrt(121)*-1)\/sqrt(11)) - (sqrt(35)\/(1*sqrt(5)) + 1).\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 - 47587*d**2\/2 + 130831*d\/2 + 17841 = 0. What is d?\nAnswer: -1\/4, 3, 11894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1106\/35 - (-4)\/10. Let k = -234\/31 + 3195\/682. What is the common denominator of k and -2 + ((-156)\/i - 1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3920 times 0.3?\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 + 3*y - 1. Let d be l(2). Suppose 2*b - 1295 - d = 0. Suppose -56 = 2*n - b. What is n rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45831876287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (130\/(-26))\/(-3 + 2). Let z(u) be the first derivative of -3\/14*u**4 + 2 + 1\/7*u**3 + 0*u**2 + 0*u + 3\/35*u**t. What is x in z(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.7 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2 + 10*d - 16. Let a(v) = v**2 - v + 1. Give 6*a(m) + q(m).\nAnswer: -m**2 + 4*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose 0 = 5*f - c*f. Suppose f*i = 3*i + 3900000. Round i to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**4 + 375*y**3 + 1400*y**2 - 1500*y - 5680 = 0.\nAnswer: -71, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 + 5 - 4*i**3 + 12*i**2 - 5 in the form b*i**3 + v + p*i + c*i**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7662 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - -15. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*w + 1 + 68*w - 88 - 19*w to the form d*w + m and give m.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 33 = -3*b, 25*d - 377*b + 193*b + 78 = -187*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111491*t + 1111267*t + 22624 = 0 for t.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*(18\/(-36)*-6)\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 + 4*m**2 - m**2)*(14*m**2 + m**2 + 11 - 8*m**2) in the form p + v*m**2 + l*m**3 + a*m**4 + h*m and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o - 4. Let d be b(3). Suppose -d*p - 12 = -0. Is -14*(9\/p - -1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -324\/191 - -267266\/156429. What is the common denominator of -58\/273 and l?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 4*c**2 - 2*c - 3. Let l be d(-4). Suppose l*q = 334 - 39. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34124065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -14165.\nAnswer: -4\/14165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.68404303 + 3?\nAnswer: -2.68404303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvs when three letters picked without replacement from {c: 1, n: 1, s: 1, v: 1, o: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 323 and 6341?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 4*t**3 - 66573725245*t + 0 + 66573725245*t - 5*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -3*u**5\/20 + 7*u**4\/6 + u**3\/3 + 10*u**2 - 19*u + 2. Let y be i(5). Solve s = -y + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3*u + 216, 4*u = 4*o - 0*u - 264. Calculate the remainder when o is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*(8 + 2). Suppose -135 = -5*m + r*u, u + 3*u - 116 = -3*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 130*k**4 - 268*k**3.\nAnswer: 2*k**3*(k - 67)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 1. Let k = -15 - c. Let q = -1 - k. Put 3\/7, -0.1, q in descending order.\nAnswer: q, 3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3640314188.\nAnswer: 2, 7, 130011221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*b + 26, 2*j - 5 + 3 = -3*b. Let z be (j - (-4)\/(-2))\/1. Put -0.12, z, -0.1 in decreasing order.\nAnswer: z, -0.1, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83990 or -84085?\nAnswer: -83990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5649350 and 8780?\nAnswer: 4960129300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*b = -3*r + 6, r = -4*b + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxixxtxtyixtitx. Give prob of picking 1 i, 2 t, and 1 y.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y**2 + 2*y + 7. Let b(u) = 19*u**2 - 3*u - 13. Calculate 4*b(n) + 7*i(n).\nAnswer: 6*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/2, 12, 0.06.\nAnswer: 0.06, 1\/2, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*b - 4*z, 0 = 32*b - 27*b + 4*z - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 + 62*q**2 - 30*q - 1. Calculate s(-16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3780 and 113022?\nAnswer: 1130220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 2 + 1 + 3. Suppose -1 = z*m - 3*m. Does 4 divide (-1)\/(m + (-32)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 11*y = 0. Solve -2*b + 4 = -y*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7515182 to the power of 1\/2, to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 7144.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*y**2 - 254*y**2 - 292*y**2.\nAnswer: -474*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1020122100 (base 3) to base 13\nAnswer: b217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(17)*1 + -5)**2 - (3 + -3 + sqrt(119)\/(sqrt(7) + sqrt(63)))**2.\nAnswer: -6*sqrt(17) + 399\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12644 and 348.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 13, 6560, 4 in increasing order.\nAnswer: -4, 4, 5, 13, 6560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 + 129*h + 1096 = 0. What is h?\nAnswer: -8, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -44 + 3 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 2. Let i be (0 - -4)\/(0 + 2). Suppose 32 = -2*r + 4*w, -10 = -2*w - i. What is the units digit of x(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 + 75760*n**3 - 383066850*n**2 + 648517597000*n - 10914464620625.\nAnswer: -5*(n - 5045)**3*(n - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-236)\/(-28) - 6\/14. Let j = 22 - p. Suppose -5*t + 31 = -3*i, -2*i = 2*t - 8 + 2. What is the remainder when j is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1243755, -1, 5 in descending order.\nAnswer: 1243755, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 9*u + 2*g, 3*u - u + 2*g = -4. Solve 9*t - 4*t = -u*n - 17, 3*n = 3*t - 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 167*n - 203*n. Calculate the least common multiple of n and 852\/9 - 2\/3.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 51078 - 51078 + 2*z. Suppose -t + 12 = -4*o, -4*t + 0*t = 4*o - 8. Let n(j) = 0*j + 3*j - t*j. Calculate n(u(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, 3, -76, 0 in decreasing order.\nAnswer: 16, 3, 0, -1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -24. Let g = -2 - 1. Which is the third smallest value? (a) 0.5 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9511*h**3*u**3 - 16192*h**3 - h*u**3 - h*u**2 wrt u.\nAnswer: -57066*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 13 - (23 - 23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-20)\/24*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5\/4 + 255*x**4\/2 - 1050*x**3 + 3180*x**2 - 4260*x + 2136 = 0.\nAnswer: -178, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*s = -46, 4*d + 2*s = 19 + 23. Let k be d + -2 + -1 + 1. Solve 4*c + 9 = -k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-10) - 4)*2 + 0. Which is the nearest to z? (a) 93 (b) 4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29991 and 1225.\nAnswer: 36738975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/5 + 164*n**4\/5 + 1142*n**3\/5 - 3124*n**2\/5 - 1144*n\/5 + 592 = 0.\nAnswer: -74, -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (29 - 2)) + (-3 - -6 - 22)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 4*v + 7*v + 3*v + 7*v)*(5*v - 6*v - 8*v).\nAnswer: -117*v**2 + 108*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**3 - 4*c**2 - 3*c + 4. Let x(z) = -z**3 - z**2 - z + 1. Let n(a) = -s(a) + 4*x(a). Calculate n(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -516\/2959 - 2\/269. Let v(p) = -p**3 + 13*p**2 + p - 9. Let r be v(13). Put r, m, -1 in descending order.\nAnswer: r, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7470328 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -154727 less than or equal to -154737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25406142 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**5 + 0*v**5 + 0*v**5 + (-4215 + 4215 - 660*v**2)*(0*v**3 - 3*v**3 + v**3) + (-3*v**3 - v**3 + 2*v**3)*(2 - 2*v**2 - 2).\nAnswer: 1331*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-380)\/(-25) - -5) + 1*3\/(-15). Suppose 6*k - k = 400. Calculate the greatest common divisor of o and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*h, -11 = -5*b - 31*h + 28*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 42378?\nAnswer: -211890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -1 (c) 8\/143 (d) -0.27 (e) -5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 = 3*v - v + 24*g, 2*v - 4*g = 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 62. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(3))*-2 + -5).\nAnswer: 6*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -341.7311 - 0.3689. Let k = -296 - g. Let s = k + -46. Which is the nearest to 0? (a) -2\/3 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 23909904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + -2)*((-222)\/(-8))\/(-37)*2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.042 - 4.958. What is the nearest to -1\/4 in -0.05, f, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 4 = 0. Let x(y) = -y**3 - 13*y**2 - y + 16. Let n be x(-13). Suppose 29 = w + n. Solve 0*t - 3*t - 4*l = 3, w = t + z*l - 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*b, -3*b + 359 = -d - 250. Let w = d + 603. Solve 0*j - w*j = 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*s + 111, 2*x + 5*s - 33 + 0 = 0. What is the remainder when (3 - 0)*(-598)\/(-39) is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70610263?\nAnswer: 107, 383, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = 9. Let g(c) = c**3 + c - 2. Let d be g(p). Suppose d = -2*l + 5*l + w, 0 = -3*l - 2*w + 4. Solve 2*v = -4*q + 6*q + 4, -5*q = l*v + 19 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - -3) - (7 - (1 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2169.1 + -3527. What is u rounded to the nearest 10?\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 51 + 523. Let f = a + -77. What is the third derivative of -f*r**3 - 5*r**3 + 22*r**2 + 9*r**2 + 0*r**3 wrt r?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**5 + 2*l**4 - 41076*l**2 - 239696*l?\nAnswer: -20*l**3 + 24*l**2 - 82152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i = 5*y + 54, 4*i + 60 = -2*y. Suppose -5*c = 3*p + 30 + 38, 2*p - 8 = 0. Is i > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s + 1. Let m(g) = -963*g. Determine t(m(u)).\nAnswer: -16371*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26647826.\nAnswer: 2, 13323913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99 - 165. Let x = p - -126. Let i = -1 + x. Round i to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/614521 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2145 divided by 55\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1519, 1381, 1151, 829, 415, -91, -689?\n\"Answer: -46*m**2 + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 1358, 1388, 1452, 1562, 1730, 1968?\nAnswer: 2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(f + 2*f - 4*f)*(-500 - 44 - 297 + (0 + 1 + 0)*(-2 + 2 - 2)) as h + t*f and give t.\nAnswer: 1686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3 - 35 + 17 + 2*g + 37. Calculate o(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjryjrjrtrjrjtyjr. What is prob of sequence tr?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 6*b**2 - 4*b**2. Suppose -n = -21 + 16. Let w(q) = q**2 + 12*q + n*q - 17*q. Determine a(w(l)).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*q**3*v**3 - 3*q**3*v**2 + 4*q**2*v**3 + 136*q**2*v**2 wrt v?\nAnswer: -72*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 48*z + 18. Calculate h(-48).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 0.07, -450?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156985338.\nAnswer: 2, 3, 151, 173273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(8\/4))\/(4 - 6). Suppose r*t + 76489723 = -191430277. Round t to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 2*z - 88 + 1\/2*z**2. Let f(o) = o**2 + 6*o - 6. Let g be f(-6). Give n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 2*m + 6. Determine u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-1250*k - 483 + 964 - 481).\nAnswer: -1250*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -491 + 755. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + sqrt(1331) + -4*sqrt(1331) + 3)**2 + (sqrt(1331) - (sqrt(1331) + (sqrt(1331) + sqrt(1331) + 3)*3))**2)*-5.\nAnswer: -266650 - 5280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 + 1 - 1)*(-3 + 0 - 1).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7905c - -5?\nAnswer: -b79057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99852843 to the power of 1\/2, to the nearest integer?\nAnswer: 9993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 2858.29?\nAnswer: -2858.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72376 (base 16) to base 12.\nAnswer: 1a689a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -45*b**3 - 11. Let c(d) = -23*d**3 - 6. Give 11*c(f) - 6*s(f).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 12:37 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 7:54 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1739 + 0.5739. Which is the second smallest value? (a) -0.3 (b) -2\/137 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z + 10. Let i = 8 - 8. Suppose 3*t = -3*g - i*g - 36, -4*g - 39 = t. Let n be u(g). Round n to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 32*d**2 - 4*d - 3. Let f be u(-2). What is the greatest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*o + 3*p + 3, p + 4 = -2*o. Let m(u) = -28*u**2 - u - 1. Let q be m(-1). Let l be (-1)\/o + (-525)\/q. Solve -4*i + l = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2571456 divided by -3\nAnswer: 857152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, o: 9}. Give prob of picking 1 w and 1 o.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvl when three letters picked without replacement from {v: 4, l: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -30 + 29*y - 3\/2*y**2. Let p be t(7). Solve 5 - p = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 25*f + 2135. Suppose 5*v - i = -0*i + 505, 383 = 4*v - 5*i. What is the remainder when v is divided by n(-84)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 29*x**2 - 71*x - 277. Let j be w(-31). Solve 19*i - 17*i = j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*d - 163*d**3 + 0*d + 144*d**3 as v*d**2 + a*d + n + l*d**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7488531 (base 9) to base 3.\nAnswer: 21112222121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22\/167 - -400\/501. What is the second smallest value in -1\/72, s, 0.1, -3, 2?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858419249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 2*l - 8, l + 10 = -4*t - l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*h + 982*h - 330*h - 325*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + -6 + -14 + 0 + 3. Let b(x) = x + 11. Give b(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5643\/513*3\/4*(-1)\/(-3)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 185684836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -28*-3*(-4)\/(-24). Suppose 7 + 1 = 4*k + 4*t, -k = -3*t - r. Solve 3*g - 8 = k*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14 - 114\/(-30) - 14. Let o(i) be the first derivative of -h*i**5 + 0*i + 0*i**4 + 0*i**2 - 10\/3*i**3 + 3. What is the third derivative of o(q) wrt q?\nAnswer: -456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsaaavvfgsavqfaaaaa. Give prob of picking 1 s and 1 a.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3500?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12635 + 0.14\nAnswer: 12635.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7.8. Let r = -42 - -46. Which is the nearest to -0.1? (a) 0.1 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5 + 1 - 1 + 2 + 2 + 1 - 1 + (1 - 1 - 2)*(-6 + 4 + 4) + 4 - 1 - 5 + 0 + 2 - 3 - 5 + 4 + 3)*(-48*v - 14*v - 5*v)*(-13*v - 3 + 19*v + 2).\nAnswer: 1206*v**2 - 201*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Let n(o) = 63*o - 312. Let i(w) = 187*w - 1058. Let t(l) = 2*i(l) - 7*n(l). Give f(t(s)).\nAnswer: -8978*s**2 + 18224*s - 9248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(4\/7)*n)*n*n*n**(-1)*n)\/(n**(-1))**(-41))\/(n*n**(-2\/9)*(n**6*n)\/n*n**(2\/9)\/(n\/n**(-2\/5))) assuming n is positive.\nAnswer: n**(-1581\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/8*(-200)\/(-50)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*v = -739 - 5827 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -1\/5 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + -6 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa + 6?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let b = 547 - 810. Let a = 266 + b. What is i(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478472?\nAnswer: 2, 3, 61603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 12*q + 1. Let j be c(-12). What is the biggest value in 0.4, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*x = -3*c + 220*x + 8, -5*x = 5*c - 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5075 and 98\/(-182)*18\/(-63) - (-94246)\/26?\nAnswer: 25375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 18799?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19416929 rounded to three dps?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - f**3 - f**3 + (-1 + 1 - 2*f)*(30*f**2 - 20*f**2 - 20*f**2).\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {d: 4, m: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -16.6. Let v = 17 - x. Let o = -3 - -3.3. What is the third smallest value in v, o, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376902 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 18. Let d = 25 + -18. Let g be j(d). Is (-23)\/(((-1)\/g)\/(53\/4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/48*1536\/(-480).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/54 + -15*(-8)\/4. Solve -n*v = -37*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eemmemmbbeemummbuue. What is prob of picking 1 e and 2 m?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -55, -79, -123, -193, -295, -435, -619?\n\"Answer: -z**3 - z**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875.2694l to millilitres.\nAnswer: 875269.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/150)\/(4\/150).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14748, -29599, -44498, -59445, -74440?\nAnswer: -89483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -1, 7, 3 in descending order.\nAnswer: 7, 3, -1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8301100 to the nearest 100000.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1552 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6288 and 104.\nAnswer: 81744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - 170*f - 1. Let s(g) = g**2 - 7*g + 5. Let x(m) = m - 1. Let j(w) = s(w) + 5*x(w). Calculate j(z(y)).\nAnswer: y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x - 33. Determine h(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 - 291. Suppose -2*i + 3*b = -657, 0 = i - b - 388 + w. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 66*r - 134652 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.94 + -7.5. Let c = 2.391 - 1.8. Let d = c + t. What is d rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -4830.\nAnswer: 1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t - 1. Let i be 20\/(-15)*(-6)\/t. Find the second derivative of -s - 4*s + s + 4*s**i - s**2 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 547800 and 29880?\nAnswer: 1643400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.2740885 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2\/47)*s*s*s**(7\/2) assuming s is positive.\nAnswer: s**(607\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(2\/127)*t\/t**(2\/27)*t**(5\/2)\/t)**(12\/5) assuming t is positive.\nAnswer: t**(6698\/1143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1367 + 897 = -251*t - 246. Sort 5, t, -11, -5, -4 in decreasing order.\nAnswer: 5, -4, -5, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3635834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/(m*m**6))\/((((m*m*m**0*m)\/m*m)\/m)\/(m*m*m*m**(-1\/3))) assuming m is positive.\nAnswer: m**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.89 - -0.11. What is the closest to -0.1 in g, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12464036*w**5 - 8449691*w**2.\nAnswer: 747842160*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/8)\/((-1)\/298)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1125\/14 - 78. Let y = -19551013\/144 + 135770. What is the common denominator of y and w?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 1. Let q be (-1 + -3)\/(-12)*6. Suppose -s + 1 = -q*s. Let w be i(s). Put -3, -1, w in descending order.\nAnswer: -1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, e: 1, v: 1, t: 2}. Give prob of sequence tfe.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -886 (c) 12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -14) + -8 + 1 + -3. Solve -k + 5*a = -0*k - 1, 0 = -5*k + p*a - 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 5*b - 18. Let f(n) = n**2 - 6*n - 17. Let t(j) = 3*a(j) - 2*f(j). Does 8 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/156*2*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 (base 8) in base 13?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128\/183 + 2\/61. Let g be 6\/16 + (-3)\/8. Let f = -0.25 + 0.3. Which is the closest to g? (a) -1\/9 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 230 = 59 - 2313 for i.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:21 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(180) + sqrt(180))*1)\/(sqrt(576)*-2)*4.\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -1*(1 - 0). Let a(h) = 2*h**3 - h**2 - 2*h - 1. Let y be a(i). Let q be 11\/12 - y\/(-3). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 + 1. Let k(t) = t**3 - 6*t**2 + 5. Let p(x) = 4*g(x) - k(x). Suppose 7 + 42 = 7*j. Suppose 2*l - j*l = -5. What is p(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, -205, -73?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41891 (base 10) in base 12?\nAnswer: -202ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 320?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 3. Let g be b(-2). Let c be g\/(-18) - (-6)\/36. Suppose 5*z = 2*z - 2*h + 6, 0 = -5*h + 15. Put -3, z, c in decreasing order.\nAnswer: c, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + (4 + -1 + sqrt(684) - (sqrt(684) - (-3 + sqrt(684))*1)))**2.\nAnswer: 60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/110)\/((51 - 54)\/((-6)\/(-4)))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2219\/20 - 439\/4. Let k = 101 + -502\/5. Factor -3\/5*u + k*u**2 - c.\nAnswer: 3*(u - 2)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -219, -0.4, 4, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -585 (base 9) to base 7\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -688\/4438915?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-117)*(9 + -6). What is the second biggest value in -0.5, -0.1, w, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -27. Is l < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -3*x**2 + 0*x + 0 + 1\/30*x**5 + 0*x**4 + 0*x**3. Let p(s) = -s - s + 4*s. Give p(a(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffsffssfffffsf. Give prob of picking 4 s.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 12. Let c be 14*-1*(97 - 0). Let r be 24\/(-30) + c\/(-10). Calculate the greatest common divisor of r and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -51*y - 358. Determine l(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.003097 millennia to decades.\nAnswer: 900.3097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.101 - 0.101. What is the third smallest value in l, 8, 0.1, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 296.2807774 and -291.\nAnswer: 5.2807774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.409665*0.04\nAnswer: -0.0163866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -3*x**7\/7 - x**3\/3 - 14. What is the third derivative of t(l) wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (66\/10 - 7) + (-22962)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 4*m + 4*m)*(-11*m**4 - 22*m**4 + 63*m**4).\nAnswer: -30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6566971*y - 38448483.\nAnswer: 6566971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -306873 - -21?\nAnswer: -306852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(171)*1)**2 + 3 - ((sqrt(171) + sqrt(171) + 2 - sqrt(171))**2 + -4)) + 3).\nAnswer: -24*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2988069 micrometers?\nAnswer: 0.0000000002988069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/11 (b) 5 (c) 2\/5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/24 + 2*z**5\/3 - 25*z**4\/6 + 99*z**2 - 2. Find q, given that i(q) = 0.\nAnswer: -10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7884 + 63157\/8. Calculate the common denominator of v and 103\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 18*h + 24. Let g be f(16). Let x be 1\/(-2)*g - 4. Suppose x = -8*o + 300 + 172. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 8)\/((-2)\/54). Let u(q) = 9 - 2 + s*q - 136*q. Give u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1062804667 to the nearest integer?\nAnswer: 32601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 12 + 21*m**2 - m**2 + 0*m**3 + 30 + m. Let l be q(-20). What is the second biggest value in -9, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-634 - -620) + (4 - 7) + 3 + (0 - 106)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005936109 to seven decimal places.\nAnswer: -0.0000594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -684373.1 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2. Let o be i(0). Suppose 24 = 4*g - 2*u - o*u, -3*g + 2*u = -16. Calculate the smallest common multiple of g and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-14)*y)*(y\/y**(-1))\/y*y)\/(y**(-1\/3))**(-34))**(3\/2) assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 7 + 9 - 6*p.\nAnswer: -6*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 + 144*o + 2 - 35 in the form k + i*o and give i.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6275 divided by 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 51*s + 448 = -81*s. Which is the second biggest value? (a) s (b) 3\/14 (c) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.2 (c) 0.02 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 606, 607, 610, 615, 622, 631, 642?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**4\/9 + 20*k**3\/9 - 32*k**2\/3 - 29*k - 2. Suppose b(i) = 0. Calculate i.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10684, -3, -11, 3 in decreasing order.\nAnswer: 3, -3, -11, -10684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -266\/1041 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/253 and -71\/92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.323 and 3800349317.5.\nAnswer: 3800349318.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -506822*p**5 - 2*p**3 - 1451366*p wrt p.\nAnswer: -10136440*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwgvggggggggggggg. Give prob of sequence vvwv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 5:20 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94551211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, 0, 25, 74, 153, 268?\nAnswer: 425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -580, -1115, -1650, -2185?\n\"Answer: -535*t - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3021 + -110321?\nAnswer: -101300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -310 - -190. Let u = -91 - l. What is u rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -13, -24, -37, -52?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4 - w + 36 - 2*w + w. What is the remainder when a(0) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 = 1874*x + 5692 + 5111 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/2 + 0. Let h = 0.09 + 5.91. Let x = -5.8 + h. Which is the nearest to 1? (a) t (b) 2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32669175 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 - 61. Find the second derivative of -39*l**5 - 12*l - d*l**5 + 110*l**5 wrt l.\nAnswer: 880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 12*d**2 - 2*d - 5. Let h be t(-5). Suppose j + 0*j - h = 4*i, i + 551 = 3*j. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225.9 + 237. Let f = 10.87 - -0.13. Let s = f - z. Which is the nearest to s? (a) 3 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.014 and -541.8981.\nAnswer: -543.9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/40040 and -27\/15262520?\nAnswer: 167887720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 28*j + 21*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 17 = -b, 4*q - 5 = 3*q. Find the second derivative of 102*o**b - 288*o + 6*o**3 + 232*o - 12*o**3 wrt o.\nAnswer: 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/13)*f\/(f**(-1)*f*f))\/(((f\/f**(-6))\/f*f*f)\/(f**(-5)*f)) assuming f is positive.\nAnswer: f**(-158\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/(-6) + -1). Let w(p) = -1 + 2*p**t + 3*p - 3 + p**2. Is 12 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*n**2 - n + 109*n**2 + 2*n in the form l*n + k*n**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (8 - (15 + 0)) - (2 + 6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8250 - -8249. Which is the smallest value? (a) 0.1 (b) 0.3 (c) n (d) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 m when two letters picked without replacement from {a: 1, m: 1, f: 1, j: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/4 - (-200313)\/324 is divided by 125?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 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: What is the difference between -1.0455 and 0.3?\nAnswer: 1.3455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + -7. Which is smaller: -14 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 756 = 197. Suppose -i*y + 34 = -41*y. Calculate the remainder when 33 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-912)\/(-64)) + 13 + -3\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = -f - 13, 3*d + 2*f + 11 = 0. Suppose -2*s + 3*c = -2*c + 3, -3*s = 2*c - 43. Sort s, 3, -2, d in descending order.\nAnswer: s, 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 9:50 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153095 or -153096?\nAnswer: -153096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 7*n**4\/24 - 51*n**2. Let x(q) = 5*q**2. What is m(x(t))?\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7470296 rounded to 2 dps?\nAnswer: 12.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 418*m**3 - m**2 + 2. Let h(v) = v**2 - 29*v - 29. Let t be h(30). Is o(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - (-8 - -2))\/(5\/29675)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 158*v**2 - 6*v + 4. Let w be d(5). Suppose 12*o + w = 18*o. Suppose -o = -4*k - 0*h + h, -5*h = -k + 173. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*c - 48 = 33*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/5)*r)\/r)**30*r**8*((r\/(r**(-1\/10)*r))\/r*r)\/r)\/((r*r**0)**(-2\/87)\/((r*(r*r\/(r**(-2\/15)\/r))\/r)\/r*r*r*r**(-8))) assuming r is positive.\nAnswer: r**(-7607\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.268, 2\/3, 3\/4, 0.3, 1\/4?\nAnswer: 0.268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - 34) + 0 + -3 + -8 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + u)*(99*u - 99*u - 63*u**3 + (9 - 1 + 2)*(-u**3 + 6*u**3 - u**3)).\nAnswer: -23*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqqhpxq. Give prob of sequence pw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 13976*j - 642911. Calculate m(46).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oodsodglgaldglogdalo. Give prob of sequence alo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r. Let z(f) = f**2 + 4*f + 2. Let d be z(-4). Suppose -t + 2*n + 2 = -d*t, -3*n - 10 = 5*t. Give v(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(833))**2 + sqrt(833) + sqrt(833) + -1 + sqrt(2057).\nAnswer: 25*sqrt(17) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -17. What is the smallest value in a, -3, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 8, k: 4, b: 2, v: 1}. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r - 13. Let h be z(-1). Suppose h*o + 6 = 2*o + 4*u, -2*o - 3*u + 8 = 0. Let x = 22 - 17. Solve -o + 17 = 4*q + 4*p, 2*q + 6 = x*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -40. Let z(a) = 6*a - m*a + a - 5*a. Let j(i) = i + 1. Let r(w) = 66*w + 99. Let n(k) = -99*j(k) + r(k). What is z(n(c))?\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 - 3*v - 20. Let f = -10744 - -10747. Let w(n) = n**2 + n + 10. Calculate f*i(b) + 7*w(b).\nAnswer: -2*b**2 - 2*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 15*r**3 - 4*r**2 - 22*r**2 + 33*r**2 + 0*r**3.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1191 (b) 0.5 (c) 1\/50 (d) 5 (e) 275\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuii when four letters picked without replacement from {u: 5, i: 13}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -323, -728, -1285, -1988, -2831, -3808, -4913?\nAnswer: -6140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((4 + 1 + sqrt(304) + -6*(sqrt(304) + 0) - (-5 + (sqrt(304) + ((3 + sqrt(304))*5 - sqrt(304)) - sqrt(304)))) + 4))**2.\nAnswer: 2592*sqrt(19) + 886500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55087514583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8215 - -6?\nAnswer: -820c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2*b**3\/9 + 2*b**2\/3 + 46. Factor t(d).\nAnswer: -2*d*(d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 48*h**5\/7 + 352*h**4\/7 + 468*h**3\/7 - 64*h**2 + 60*h\/7 = 0.\nAnswer: -5, -3, 0, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-5 - -7) - -48 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 160*s**6\/3 + 231*s**2\/2 - 174. What is the second derivative of o(k) wrt k?\nAnswer: 6400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/21)\/(2\/6). Suppose m = u*m - 6. Solve 0 = m*a, a = -3*i + 6*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -205.946 * -38.\nAnswer: 7825.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(3*u**2 - 3*u**2 - 2*u**2) - u**2 + 5*u**2 - 3*u**2 + (-u + u - u**2)*(1 + 0 - 3).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12\/17 + -31\/68. Let u(m) be the second derivative of 0 + d*m**4 - 3*m + 0*m**2 - 1\/6*m**3. What is the second derivative of u(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 39\/2720740?\nAnswer: 39\/2720740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 328 - 326. Factor 0*x**w - 2\/7*x**3 + 4\/7*x**4 + 0*x + 0 - 2\/7*x**5.\nAnswer: -2*x**3*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22933807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*u**4 - 591293*u - 167644200?\nAnswer: 128*u**3 - 591293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -18*z + 11. Let g(c) = 10*c - 6. Let i(s) = 6*d(s) + 11*g(s). Let l(t) = -15*t + 1. Determine l(i(w)).\nAnswer: -30*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.82 * -11436\nAnswer: -9377.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127096898.\nAnswer: 2, 63548449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -627 + 631. Let u = -3 - -6. Suppose l + 2*l - 105 = -u*k, d*k - 3*l = 126. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 25. Let f(d) = 3098*d**3 - d**2 + 2. Let i be f(1). Does 11 divide (-2)\/t + i\/45 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1391*w - 695*w = 738*w - 2184 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6 - -12)*(0 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**9\/1008 - g**6\/120 - 2*g**3\/3 + 3. Let s(r) be the third derivative of d(r). Find the third derivative of s(l) wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and -0.295479.\nAnswer: -0.385479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 8*r**5\/7 + 2*r**4\/7 - 24*r**3\/7 + 10*r**2\/7 + 4*r\/7 = 0?\nAnswer: -2, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1035 to three dps.\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*(x\/x**(-2\/7))\/x)\/(((x**(-1)*x)\/x)\/x)**(-46) assuming x is positive.\nAnswer: x**(-600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 4 - 46 + 13 + f**2.\nAnswer: f**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32693 times -0.8?\nAnswer: -26154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 12 - 1 - 4)*(2*q + 5*q - 3*q).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 99. Let v = s - -57\/2. What is the second biggest value in v, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/66, -4, -0.4, 5\/6, 0.1, -1\/154, 3?\nAnswer: -5\/66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*(sqrt(847) + 3) - sqrt(847))*3)**2 + 0.\nAnswer: 3564*sqrt(7) + 68930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 110 = -6*h. What is the lowest common multiple of 174 and h?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6477 + -6310 - ((-3 - -2 - 1) + 26)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000039266506 rounded to 7 dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21582 or -4769676\/221?\nAnswer: -21582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/59377 + 6115615\/6412716. What is the common denominator of k and 23\/18?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 7. Let l(k) = 8. Let j(x) = -16*x - 65. Let q be j(-14). Suppose q*b - 165*b - 36 = 0. What is b*c(h) - 5*l(h)?\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + b + 6. Let x be p(-3). Let t be (-3)\/((-44)\/x - 2). Solve 1 = z - 3*j - 2*j, 4*z + 2*j + t = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/263 - 1308\/1841. Let m = v - -53\/84. Let j = -0.1 + 1.1. Which is the second smallest value? (a) j (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-7) + 57336\/84 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w**2 + 10183 + 24*w**2 - 10182.\nAnswer: 60*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) + 3 + 1 + sqrt(1125) + (sqrt(45) + ((sqrt(315)*-1)\/sqrt(7) - sqrt(45) - sqrt(45)) - sqrt(45) - sqrt(90)\/(sqrt(4)\/sqrt(2))))**2.\nAnswer: 144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k + 2*a + 496 = 0, 4*a = -5*k + 508. Calculate the greatest common factor of k and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646047679.\nAnswer: 646047679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 24, 4\/7, 0.2 in increasing order.\nAnswer: -157, 0.2, 4\/7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21a6 + -3d84?\nAnswer: -1bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 + (-14 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -b + 2. Let a = 2 + b. Solve 2*l - 5*l = 5*n + 11, a*l - 4*n + 6 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efeh when four letters picked without replacement from ffeeffffffeffffh.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 6. Find the second derivative of 4*m**3 - 2*m + 5*m**4 - 6*m**3 + 2*m**i wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23035 - 0.23. What is t rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*t - 900 = 200*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + g + 10518, -6*z + 9*z = g + 31550. Suppose 3*w + 41988 = -4*v, -4*v + 5*v + z = 4*w. Round v to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 + 4. Let f be (-8 + 3 + 2)\/1. Sort x, 2\/5, f in ascending order.\nAnswer: f, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3866 - 3866. Is t equal to 3\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/616*((-100)\/(-8))\/(-25)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 - 129. Calculate the remainder when 34 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/5*-2*(-3)\/(-24). Let i(u) be the second derivative of 3*u - 1\/6*u**4 - 1\/25*u**5 + 0 - 4\/15*u**3 - n*u**2. Let i(y) = 0. What is y?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -60 (b) 14 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 75 + 279. Suppose -c - k = -4*c - 3*p, -2*c - 4*p + 232 = 0. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 = -12. Let f be (3\/9)\/(j\/12). Let v(a) = 2*a**2 - 2*a. Let u be v(f). Solve -5*w + u*w - 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -14. Let y = -65 - -36. Let d = y - -32. Solve d*u - 5 = k*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-5*6)\/(2\/(-64)). Suppose 7*q = 4*f + 3*q + u, -1202 = 5*f + 2*q. Let s = f - -473. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24 - -2)\/(2\/(-3)). Let h = 58 + k. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 52, 51, 52, 55, 60, 67, 76?\n\"Answer: x**2 - 4*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -737.5 rounded to the nearest 10?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18545\/22 + 842. Calculate the common denominator of 43\/6 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f**3 - f**2 + f + 1. Let t be q(-1). Suppose -4*x + 4 = -t. Suppose -49 = -x*d + 39. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 107 - 209 = 4*r, -2*c = -2*r - 314. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146552 is divided by 2931.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7*539\/(-77)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -367 or -5527\/15?\nAnswer: -5527\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2. Let w(p) = -427*p**2 + 3. Calculate w(o(z)).\nAnswer: -427*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-5) + 2 - -3. Sort -4, -28, y, -5.\nAnswer: -28, -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112)*3)*-5 - (4*2*sqrt(70) + sqrt(70))\/(-3*(sqrt(40) + sqrt(10) - sqrt(10))).\nAnswer: -117*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74, -215, -442, -749, -1130, -1579?\n\"Answer: l**3 - 49*l**2 - l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18449 + 4727?\nAnswer: 23176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 9745708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0, -9, -1\/8, -1 in decreasing order.\nAnswer: 0, -1\/8, -3\/4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.04 or -176411417?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 90*m - 1262. Let w be s(14). Which is the closest to 1? (a) -0.06 (b) -1 (c) 3\/2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*m = 3*m + 616 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u**3 - 5*u**2 - 5*u + 8. Let k = 629 + -624. Let r(c) = 7*c**3 + 3*c**2 + 3*c - 5. Give k*m(x) + 8*r(x).\nAnswer: x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 8*f + 2. Let t be -1 + 12\/3 + f. Which is the third biggest value? (a) -3\/2 (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162.9 - -5.1. Let k = 168.00000121 - x. Round k to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/5)\/((-5292)\/(-1260)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 + 6036*d - 3226440.\nAnswer: 4*(d - 483)*(d + 5010)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and -0.0498193.\nAnswer: -13.0498193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15)*-2*(-6)\/(-20)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 - (-30 + (-28 - -33) + 31)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9483.145 millilitres in litres?\nAnswer: 9.483145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 151*p - 153*p. Let c(b) = -3*b**3 - 6*b**2 + 4. Let o(w) = 11*w**2 - 3. Let k(a) = 4*a**2 - 1. Let z(l) = 8*k(l) - 3*o(l). Give p*z(f) - c(f).\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 81*o**2 + 14*o + 155. Let p(k) = -79*k**2 - 12*k - 155. Let l(z) = 6*n(z) + 7*p(z). Differentiate l(v) with respect to v.\nAnswer: -134*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 920*z - 305*z - 310*z - 310*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (9 - 9 - -3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 5, a: 7}. What is prob of picking 1 r and 2 a?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/8 + (-243)\/540?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11485b2 (base 12) to base 7.\nAnswer: -40216364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/120 - 4*k**5\/15 - 5*k**4\/8 - k**3\/2 + 47*k**2 - 3*k. Give d(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + 0 + -1 + 1098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**2 - 10684*i + 10684*i.\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256182 - 261588 = 106*v for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 469 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 9 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfffwwwffffwfwfw. Give prob of sequence ffw.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8147 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 502, 1005, 1510, 2017, 2526?\nAnswer: 3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*v + 17 + 37 - 37 + 38 + 20.\nAnswer: -111*v + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*v**3 - 2*o**3*v**2 + 26735644*o**3 - 22412*o**2 - 1192*v**3 wrt o?\nAnswer: -6*v**3 - 12*v**2 + 160413864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-83 - -19) + (-128 - -150)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by 6.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r + 5. Let h be j(10). Let n be -1 - 69\/h*-1. Is 1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 362 = -296. Let h = n - -158. Let q = 27 - 5. What is the remainder when h is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13363 and 4347.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-184*r - r**2 + 379 - 347 - 33)*(-2*r**2 + 2*r**2 - 2*r**2) as t*r**2 + z*r + v*r**4 + x*r**3 + l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 217 = 16. Let i = 362 - j. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 15\/8, 15, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 10. Let j(l) = 7*l - 10. Let i(u) = -5*j(u) - 6*s(u). What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10*q**3 + q**2 + 2*q - 4. Let d(a) = 10*a**3 - a**2 - 2*a + 5. Determine -5*d(m) - 6*o(m).\nAnswer: 10*m**3 - m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-10)*m**(11\/4)*m)**(-4\/43) assuming m is positive.\nAnswer: m**(-59\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/14 - (166\/315 + 16\/(-40)). Suppose 28 = -7*c + 2*c + 2*r, 4*c - 5*r = -36. Put 6, c, j in increasing order.\nAnswer: c, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 + i - 1. Let r(k) = 6*k**3 - 5*k**2 + 11*k + 1. Let x(g) = r(g) - 7*t(g). What is x(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 80 + 24 = 0. Suppose 11 = 2*u - j. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 4152. Let p(n) = 3718*n**2 - 5*n. What is c(p(r))?\nAnswer: -11154*r**2 + 15*r - 4152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2236692 is divided by 5630.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 212346699 divided by -70782233\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**19))**(-6)*(g\/g**(-2\/21))\/(g\/(g**(-32)\/g)) assuming g is positive.\nAnswer: g**(-3085\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -350*w**3 + 2*w**2 - 2*w - 1. Calculate v(1).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -6a?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**32)\/(c**(-10)\/c))**(1\/77) assuming c is positive.\nAnswer: c**(-20\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.1, 11\/163, 387, -7?\nAnswer: 11\/163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 165*p**3 - 42930*p**2 + 262440*p.\nAnswer: 5*p*(p - 108)*(p - 6)*(p + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -399480*r*u**2 - 5*r*u - 10*r - 247*u**2 + 28737*u with respect to r.\nAnswer: -399480*u**2 - 5*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-400)\/(-30) - (2\/(-6))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-610)\/(-300) - 2)\/((-6)\/(-15))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21203 + 1?\nAnswer: -21202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 65 - 13*r**3 + r**2 + 25 - 2*r + 20 + 2*r**3 to x*r**3 + n*r + t + m*r**2 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 2.2, -1\/6 in descending order.\nAnswer: 2.2, 0, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 7. Let d be 4 - 1 - (-2 + 2). Let x(m) = -m + 3 - 5 + 2 + d. Let y = 265 - 256. Determine y*x(i) - 4*c(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/15*18\/(-4). Is 8 a factor of (r + -13)*(1 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2. Let h(x) = -4. Let a(k) = -4*h(k) + 7*q(k). Let c(i) = -i**2 - 11. Determine -11*a(p) - 2*c(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.484.\nAnswer: -0.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 + 55 = -6*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 6. Let x(u) = d + 1 + 22*u - 7*u. Does 32 divide x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0858 + 9.8258. Round i to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*(-48)\/(-40) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*(18\/(-10))\/3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + f**2 + 4375 - f**3 + 7*f**4 + f**4 - 4346 as u*f**3 + t*f**4 + z*f + m*f**2 + k and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.1439484\nAnswer: -0.0719742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(40)\/sqrt(4))\/(sqrt(5) - sqrt(20)\/(2*sqrt(4))))**2 + (2*sqrt(3456))\/(sqrt(12) + sqrt(48)*-5).\nAnswer: -8*sqrt(2)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 3:08 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 59581.\nAnswer: 5\/59581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 342144 = -6*i. Let h = i - -10264213\/90. Calculate the common denominator of 101\/10 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + g - 1. Let a be o(3). Let w = 34 - a. Suppose 2*x = -2*x - 4*r + 20, -w*x - 4*r + 22 = 0. Solve 2*d = -0*d + 8, x*y + d = -6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98859442 is divided by 250277?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*i + 66, i - 56 = -4*l + 1. Let n(y) = 2*y**3 - 3*y**2 + 9*y - 12. What is the least common multiple of n(3) and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + -1*(-32 - -6). Suppose -p*v = -310 + 79. Calculate the remainder when 28 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(28)\/sqrt(4)*5 + 3 + sqrt(252) + 0)**2.\nAnswer: 6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4\/4 + 120*n**3 + 12879*n**2\/2 + 117978*n + 446631\/4 = 0.\nAnswer: -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 8, j: 1, w: 1, o: 1, d: 1}. What is prob of picking 1 d, 1 o, and 2 l?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*f**3 + f**4 + 0*f**4 + 47*f**3)*(-4 + 4 - 3*f).\nAnswer: -3*f**5 - 45*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 - 2*m - 15 + 10 + 7 + 0*m as o*m**2 + i + s*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1870141 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/3900 and 119\/20?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192 = -42*v + 270 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + ((-1*sqrt(550)*6)\/(-3*sqrt(1331) - sqrt(1331)))**2.\nAnswer: -501\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**5\/5 + 3*j**4\/4 - 5*j**3\/3 - 3*j**2\/2 + 4*j + 29. What is i in y(i) = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)*h\/(h\/h**(2\/9)))**39 assuming h is positive.\nAnswer: h**(455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h - 12. Does 2 divide 23\/h - 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189694788037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpl when three letters picked without replacement from mlpdtdd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 6*n + n)*((1 + 3 - 2)*(2 + 0 - 4) + (0 - 1 + 3)*(-1 - 3 - 2)) in the form f + b*n and give b.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-2)\/(-24)). Suppose -j*n - 6 = -4*n. Is 0.1 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111000111101 (base 2) to base 4\nAnswer: -320331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 5 = -17*g + 4*f, 0 = 5*f + 25. Let k(x) = x**3 + 3*x**2 - x + 4. What is k(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 231*p**2 - 3904*p + 11856.\nAnswer: (p - 12)*(p - 4)*(p + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s**2. Let y(a) = -a**2. Let d(x) = -x**2. Let o(i) = 5*d(i) - 4*y(i). Let j(k) = c(k) + 10*o(k). Let f(l) = 5*l. Give j(f(q)).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a century in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 760. Let t be b\/(-9) + (0 - -1). Let w = -82 + t. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 78155622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -5 (c) 4\/5 (d) 4\/7 (e) 106 (f) -2605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/497420*-38)\/((-4)\/(-10))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - 230\/23\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 50*z + 148. Let i be r(-3). Let o(u) = u**3 + u + 1. Calculate o(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-21) + (-6)\/21. Let m be n + (-3 + 0 - -3). Solve m = -6*o + o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/55 + 14317\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 - 6*z**2 - 66. Let j be c(-6). Let k = j - -78. List the prime factors of k.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*j**3 + j + 52*j**3 + 5 - 4*j**3 + 2*j**3.\nAnswer: 95*j**3 + j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15631071*b**3*l**3 - 5*b**3*l**2 + 3*b**2*l**2 - 4447015*b**2 - 12*l**6 wrt l.\nAnswer: -93786426*b**3 - 1440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 62.93896 centuries?\nAnswer: 629.3896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times 0.28?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1273 and -13\/5111.\nAnswer: 342437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Suppose -14 = 5*c - 19. Is m smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*v + 1 = 0, h + h - 5*v = 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18*y**3 + 20*y**2 + 51. Let x(t) = 4*t**2 + 3. Determine -i(o) + 4*x(o).\nAnswer: -18*o**3 - 4*o**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 12 + 140*d - 8 - 141*d. Let c be i(-11). Let l be (-7)\/(14\/c) - 1. Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.7 - -31.8. Let x(o) = -o - 3. Let w be x(-8). Let s = -6\/43 + -32\/387. Which is the third biggest value? (a) w (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 553 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 0.06, 2\/11, 3, -74?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211 - 134334?\nAnswer: -134545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92255351*b**2 - 92255350*b**2 + 184510696*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x = 80*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-175)\/(-10)*(4 - 2). Suppose 2*y + 3*y - w = -5*t, -2*t - 10 = -2*y. Let k be 2*(-1 + 4\/y). Is k less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -1020221.486?\nAnswer: -1020221.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 235518, 466284, 697050, 927816, 1158582, 1389348?\n\"Answer: 230766*s + 4752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 283*g - 282*g - 22*b, 5*g + 2*b = -21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74928 by -1784.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1829403, 1829402, 1829401, 1829400?\nAnswer: 1829399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4931.4 * 0.021.\nAnswer: 103.5594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 165036222?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -34. Suppose g - p = 4, 0 = -2*g - g - 4*p - k. Suppose x - 60 - 31 = g. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.85 - 0.15. Let u = 0.2 - 3.2. What is the nearest to 0 in j, 5\/4, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/15)\/(39\/(-260)*4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f - 2. Suppose -2*s - 4*s + 18 = 0. Let a(r) = -1 + 3 + 3*r + s - 1. Let l(z) = -3*a(z) - 5*u(z). Give l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16*(-960)\/90.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + 107*p - 107*p - 18*p**3 - 4*p**5 + 3*p**5 + 0*p**5 + 5*p**5 - p**5 - 3*p**5 + (0 + 0 + 2*p)*(3*p**4 + p**4 - 2*p**4) + 2*p**5 + 0 + 0.\nAnswer: 8*p**5 - 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814 is divided by 296.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 12 = -3*q, 3*o + 18 - 6 = 3*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033116 is divided by 1016543?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (1120\/(-3))\/((-51)\/612)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48421304 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2719 + 31.\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 2\/11 (c) -24 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106950 - -746797\/7. Let q = 265 + w. Factor 2\/7*a - q*a**3 - 2\/7*a**2 + 2\/7.\nAnswer: -2*(a - 1)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10336477 is divided by 4878.\nAnswer: 4873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0382 or -86?\nAnswer: 0.0382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5)*(3 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -135955525.163 + 14\nAnswer: -135955511.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 5848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeepeeehheeee. What is prob of picking 2 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 694 = -x - 2*u, 0 = -5*x + 5*u - 830. Let d be (9\/x)\/((-4)\/(-24)). Sort -0.2, -3, 0, d in ascending order.\nAnswer: -3, d, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-740608)\/(-7480) - 99)*105\/(-28)?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*f - 12*f + 51*f - 6321 = -20*f for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 948.26995.\nAnswer: -948.76995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/28 and -115\/4077144.\nAnswer: 28540008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 5*m - 2. Let c be l(-3). Let v be (-15)\/(-5)*c\/198. Is 0 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/18051 and 19\/132?\nAnswer: 72204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -554614872 by -6.\nAnswer: 92435812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 13*s - 21*s.\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3701681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 12*q**2 + 8*q + 2. Determine g(13).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9 - 4)\/((-4)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308104, 616193, 924282, 1232371, 1540460?\nAnswer: 1848549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5020 and 490.\nAnswer: 245980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-1) - 7)*(8 - -40 - (2 - 1)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1360128 and 4080384?\nAnswer: 4080384","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106437025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*2)\/sqrt(5))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4 + 2 + 4)*(1 - 1 - 1)*(-2*n - 2*n + 0*n).\nAnswer: 8*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.3 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 3*j**4\/8 - 4*j**3 - 105*j**2\/4 + 441*j + 149. Let p(o) = 0. What is o?\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 88.29179 weeks?\nAnswer: 53398874592000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2580*d**2 + 56764*d + 137. What is g(-22)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/5, 37\/6, -3\/5, -0.11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8\/3, 5 in decreasing order.\nAnswer: 5, 3, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/24)\/(725\/(-2320))*36.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = 7. Suppose 386 = -y*f + 2*x, 5*x - 3*x - 514 = 4*f. Let z = -71 - f. Calculate the remainder when 340 is divided by z.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 - y. Let n be s(1). Suppose -b - 3 + 2 = 0. Let m = n - b. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32, -175, -410, -737, -1156, -1667?\n\"Answer: -46*j**2 - 5*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 207. Let w(a) = 5*a - 624. Give -8*u(t) + 3*w(t).\nAnswer: -t - 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12930 + -12920. What is the closest to b in 2\/5, -2\/3, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 0*t**2 + 3*t**2 - 7*t**2 as w + v*t**2 + c*t and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + -2*sqrt(90))\/sqrt(3))\/(-2*sqrt(6)*4).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - -0.2. Let a = -22.7981762 - -21.19817641. Let l = a + p. What is l rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -864, -27, -3 in decreasing order.\nAnswer: -3, -4, -27, -864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-14 + 20) - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15983 + 7508 = -8*s - 7*s. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 8:24 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27231 is divided by 4495.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 88*q**2 - 27*q**2 + 786*q - 786*q in the form u*q + s*q**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -810 - -810. Let s be 1 + k - (-4 + 91\/26). Find v such that -5\/6*v**2 - s*v**3 + 7\/6*v**4 + 3\/2*v - 1\/3 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o + 2244 = 64*o. Let r = o - 202. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1 + 2 - 2). Suppose 7 = -l*i + 47. Calculate the remainder when 39 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 1620\/7. Let k = -8.9 - 31.1. Let g = k + 37. Which is the nearest to -1? (a) y (b) g (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*a - 50, 2*b + 4 = -a + 5*b. Suppose 0 = -19*j + 17*j + 6. Suppose -n + 27 = 2*t, 3*n + j*t - a - 73 = 0. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8539211 is divided by 34294.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/33247?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 - 15*l**3 - l**2\/2 + 15*l.\nAnswer: l*(l - 30)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 3*s + 129403 - 129404, 3*f + s = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(3770\/312))\/(2\/(-15)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 7*a**2 + 23 + 28 - 70.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1917 and 42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t**3 + 31*t**3 - 9*t**3 + 102*t as c*t**2 + s*t**3 + v*t + j and give v.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 639*n*z**2 - n*z - 108*n - 5994*z**2 - 2500*z - 1 wrt z.\nAnswer: 1278*n - 11988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4833 - 1314 = -9*b. Let u = 659 + b. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -51540, 3\/7, 0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2001382 or -2001332?\nAnswer: -2001382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -238*c**3 - c**2 + 7*c + 8. What is the units digit of w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(1 + -5) - (-187)\/34. Suppose -5*g = f - 35 + 139, 4*f - 84 = h*g. Let p be (4\/8*(2 - g))\/(-1). What is the second smallest value in p, 4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, -317, -717, -1117, -1517?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from qupqqqppq?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706669 is divided by 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2102*i + 45578 = -154*i + 1127*i + 174728 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511228366699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -7*r**4\/24 - r**2. Let l be (-664)\/(-1)*9\/324*9. Let f(z) = 371 + 4*z**2 - 205 - l. What is f(p(m))?\nAnswer: 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7793 equal to -642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 348779766 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: Suppose 0*h - 270 = -5*h. Suppose 0 = 12*k - 18*k + h. What is the remainder when 26 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 4:38 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/1349 + -1384\/47215. Which is the closest to u? (a) 16 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*d - 51 = 0, -5*d = -2*c + 12 + 28. Suppose 12*j = -15 + c. Solve j = -5*n + 16 - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 41391?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 255*i**3 - 521*i**2 - 6. Let w(c) = -251*c**3 + 520*c**2 + 5. Let k(y) = 6*w(y) + 5*z(y). Find the third derivative of k(j) wrt j.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l*l**18*l*l*l)\/l)*l))\/(l*(l*l*l*l\/(l\/l**(-1\/13))*l*l)\/l)*(l**(-2\/9))**(-30) assuming l is positive.\nAnswer: l**(848\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + -1*sqrt(120))*-2)\/(sqrt(125) + (sqrt(125)*-2 - sqrt(125))))\/((sqrt(132) - 1*sqrt(132)*-2)\/(sqrt(11) + sqrt(22)\/(sqrt(8)\/sqrt(4)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 + 537*p**3 - 2211*p**2 - 2745*p = 0.\nAnswer: -183, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 4. Let f be m(-4). Let c = f - 5. Factor -j + 3 + j**3 + 2*j**2 - j**2 - c - 1.\nAnswer: (j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388815391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41 + -3804924293.\nAnswer: -3804924292.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*w\/(w*w\/w**(-11\/2)*w)*w*w))\/w**(-1))**13)**16)**(-3\/17) assuming w is positive.\nAnswer: w**(-4056\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4 = o, -3*o + 24 = -3*x. Let t(s) be the third derivative of -s**6\/120 - 7*s**5\/60 - s**3\/2 - 6*s**2. What is t(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 540*t - 526*t. Solve 5*r = 2*o - 20, 0 = 3*o - t*r + 5*r - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkwzhdzdkzkkkzwzhk. Give prob of picking 2 h and 2 k.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 3*m. Let j = -13 + 10. Let f(h) = -6*h**2 + 16*h. Let s(o) = j*f(o) + 16*r(o). Let p(v) = 3*v**2. Calculate p(s(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/63 and -38\/124481.\nAnswer: 1120329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760054?\nAnswer: 2, 37, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (29 + 15056\/(-656))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6503175.78 to the nearest 1000.\nAnswer: 6503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (858\/(-55))\/(-13)*5\/2*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6 - 47*t**5 - 442*t**3 - 39*t**2 - 13*t - 1?\nAnswer: 240*t**3 - 2820*t**2 - 2652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 4, r: 4, u: 1, z: 8}. What is prob of picking 2 r and 2 z?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.255 - 0.43. Round j to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 601, 1104, 1599, 2110, 2661, 3276?\n\"Answer: 4*z**3 - 28*z**2 + 559*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**5\/60 + 7*w**2 - 12. Let f(d) be the second derivative of g(d). Let l(z) = -5*z**2. Determine l(f(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 6. Suppose -14 = 3*z - i, 2*i = 6*i + 4. Let o be (-48)\/(-60)*z\/(-1). Let w be g(o). What is the highest common divisor of w and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3420364.999981 - -3420339. Let z = -50 + 24. Let m = z - r. Round m to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4885585*i**2 + 4*i - 1821401 wrt i.\nAnswer: 9771170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 12285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) -517 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*b - 12 = -2*q, 0 = 4*b - 3*q + 4. Let r(k) = k. Let i be r(3). Suppose 4*s - i*s = 0. Solve -4*f - 16 = 0, o + 4*o - b*f + 17 = s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 13, g: 6}. What is prob of picking 1 c and 1 g?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24113 smaller than 675169\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -1134*v + 1118*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.3 and 1.311?\nAnswer: 2.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 307715431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53820860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 6*n**4 - 10*n + 2*n**2 + 5*n + 3*n - 1 in the form o*n**3 + s*n**2 + y + x*n + l*n**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21425, 147, 5, 2 in descending order.\nAnswer: 147, 5, 3, 2, -21425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2 (c) -2\/57 (d) -1\/18 (e) -349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 439\nAnswer: 18\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6631481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 1096 - 2176 + 1092)*(-w**2 - 4*w**2 + w**2) as q*w + s*w**3 + h*w**2 + o and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -11. Let f = 21 + x. Let y(d) = 636*d**2 - 1. Is y(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k - 678. Let h(u) = -2*u. Give h(s(i)).\nAnswer: -26*i + 1356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220*f**4*l + 2*f**4 - 2*f**3*l + 6913*f**2*l wrt f.\nAnswer: 5280*f*l + 48*f - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4352.2 + -1173.8. Let w = -5584.14 - s. Let a = 59 + w. Round a to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(300) - sqrt(12))\/sqrt(6)) + (sqrt(35) + sqrt(105)\/sqrt(3))\/sqrt(5)*3.\nAnswer: 25*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15568.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 4:11 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -480? (a) 0.3 (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -9, -28, -57, -96?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3218 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17451829.\nAnswer: 83, 210263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11106 - -16361. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 37. Let b(h) = -7*h + 40. Let y be b(l). Let r(u) = 197 - 197 + 8*u - 13*u**2. Let n(v) = -3*v**2 + 2*v. Determine y*r(z) + 9*n(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 11. Let u = 5 - 7. Let z = 3 + -2.6. Which is the third smallest value? (a) o (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, m: 4, x: 3, w: 2}. What is prob of picking 1 h and 1 x?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1504 - 764 - 740 + 657*r.\nAnswer: 657*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/333088 and -99\/280.\nAnswer: 1665440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjt when four letters picked without replacement from jtjjtjjjjjjjjjjtjjjj.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - -3. Let w be 17\/(-34) + (-12)\/26. Let n = w + 6\/13. Which is the closest to j? (a) n (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b**2 - 7*b + 326. Let c be (-2 - 4\/3)\/(8\/12). Let u(j) = -19*j**2 + 10*j - 489. Let o(v) = c*u(v) - 7*f(v). Is o(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 = -t - 3*k + 280, 12 = -3*t - 2*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29327423 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 4*z - 4. Let a(o) = o**3 + o**2 - o + 1. Let m(l) = 3*a(l) + k(l). Let b be m(1). Solve d + 4 = b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y + 2*y + (0*y + 4*y - 2*y)*(2 - 4 + 4) - 5 - 2*y + 5 - 6 - 42*y - 1 + 44*y.\nAnswer: 6*y - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -24*y**2 - 3*y + 15. Let f(m) = 20*m**2 + 2*m - 10. Let x(l) = 3*f(l) + 2*n(l). Let i(v) = v**2 + 9. Calculate x(i(k)).\nAnswer: 12*k**4 + 216*k**2 + 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 68*j + 1107. Let a be l(41). Solve -5*s - 4*z = -17, -2 = -a*s + 4*s - 2*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23019 by -32821.\nAnswer: 23019\/32821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1677983400 rounded to the nearest 1000000?\nAnswer: -1678000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, y: 6, h: 4, w: 3, q: 3}. What is prob of sequence yy?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-174)\/(-78) - 2)\/((-174)\/(-1508)). Factor 5\/2*n**d + 1 + 7\/2*n.\nAnswer: (n + 1)*(5*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from nnvvvvvvvnnnvv?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*j - 1158 = -242. Suppose 2*x + n = 10, 0*x + 15 = x + 3*n. Which is the second biggest value? (a) -0.02 (b) x (c) j (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 4*r - 6. Let b be j(4). Does 12 divide b + 257 + 2 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203.30524 + -94.224822. Let n = 112.0804 - p. Let d = n - 3. Round d to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*s**3 + 258*s**3 - 30*s**3.\nAnswer: 422*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334530 and 140670?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04384267565 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.026 - -0.326. What is the fourth biggest value in 1\/2, b, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -843, -1405, -1967, -2529?\n\"Answer: -562*n - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/558888 and 53\/2678005.\nAnswer: 64272120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1503349 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35\/4 - -69\/8. Is m at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmo when three letters picked without replacement from {m: 8, h: 5, g: 1, o: 2, l: 3}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*q + 29*q + 43*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359612156?\nAnswer: 2, 89903039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 61653 (base 7) in base 2?\nAnswer: 11101011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 - -67 - (-6 + 10 - 20) - (99 + -7)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-22)*w**(25\/4)*(w*w**(-34)\/w)\/w**2 assuming w is positive.\nAnswer: w**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.4628781 rounded to 0 decimal places?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 1 - 1 - l + l - 18277*l**3.\nAnswer: -18277*l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-2850) - (-2452)\/(-91950)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from jjjjxbbjbd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 42 = -v - v, v + 29 = 3*x. Let c = x + -5. Let f = 8 - c. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*f*y + 21*b**2*y**3 - 65*b**2*y**2 + 2*b**2*y + 5*f*y**3 - 2*f*y**2 + 18*f*y - 52*y**3 wrt y?\nAnswer: 126*b**2 + 30*f - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woqwsoswsossswssws. Give prob of sequence wws.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15))\/((-1)\/(-9)). Suppose 4*l + 3 = -5*s, 0 = -2*l - 0*s - 4*s - x. Find the common denominator of l\/(-6) - 246\/(-28) and 87\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 - 35*n - 77. Is 71 a factor of x(33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 10*w + 9. Let t(a) = -4*a**2 + a - 3. Give -i(b) - 2*t(b).\nAnswer: 4*b**2 - 12*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, e: 4, z: 2}. What is prob of sequence ee?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence teoe when four letters picked without replacement from {o: 4, h: 1, t: 1, e: 4, r: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.26 - -0.04. Let s = 0.1 - w. Let b = -1 - -1.5. What is the closest to 1\/3 in s, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 13) to base 9\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -97, -91, -85, -79?\n\"Answer: 6*d - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2627726862.\nAnswer: 2, 3, 23, 1117, 17047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 30, 175?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*c**2*g*i*t - 24*c**2*g*i - 16*c*i*t - 186873*g*i - 1402*g*t with respect to t.\nAnswer: 21*c**2*g*i - 16*c*i - 1402*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 7. Let y(b) = b**2 + 2*b - 5. Let w be y(n). Suppose 0 = 3*t, -15 - 3 = -w*m + 3*t. Calculate the highest common factor of m and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 2:56 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(54\/9))\/(2\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3*n + n - 55, -4*q - 2*n = -92. Suppose 5*w - 398 - 17 = 0. What is the remainder when w is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 1. Let l be f(1). Suppose -l*m + 2*h = -196, -3*m + 4*h = -6*m + 166. Let c = m - 52. Solve 5*a = 25 - c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1291, 1285, 1279, 1273, 1267, 1261?\n\"Answer: -6*m + 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r + 40*r = 94*r. Is -42\/71 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000407914 rounded to 5 dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(143)*-1 + sqrt(143) + (sqrt(143) - 2*(sqrt(143) - (-1*sqrt(143) + sqrt(143)))))\/(-2*(sqrt(539) + sqrt(539)*-2 - sqrt(539))))**2.\nAnswer: sqrt(13)\/14 + 797\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-26))**(2\/69)\/(d**3*((d*(d\/d**(-3))\/d)\/d)\/d**(2\/3)) assuming d is positive.\nAnswer: d**(-140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1184.3 + 1179. Which is the closest to k? (a) 4\/3 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2*(0 + 4). Let v(u) = u**3 + 7*u**2 - 9*u - 16. Let k be v(y). Is 45 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 3:28 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 307 = -2*w - 0*w, 0 = w + 4*q - 156. Suppose 5*v + 80 = 2*l - 238, v = 4*l - 60. Let h = v + w. What is the highest common factor of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4248 and -55\/64276016.\nAnswer: 578484144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -97. What is the remainder when 861 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(((sqrt(22) - sqrt(22)*-2) + sqrt(22))\/sqrt(11)) - (0 + sqrt(32) + -3 + sqrt(2) + -1))**2.\nAnswer: -38*sqrt(2) + 489\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13*u - 153 = 0. Suppose u*g - 70 = 10*g. Calculate the smallest common multiple of 5 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -28*a + 2. Let l be v(2). Let s be 6\/8 - l\/24. Solve 6*c = s*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48212, 48229, 48248, 48269, 48292?\nAnswer: 48317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 2)\/(13*28\/364). What is the closest to 3 in j, -4, 3\/2, 30?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (924\/(-1) + 1). Let o = -24 - 82. Let s = h + o. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/(-52) - (-3)\/4. Suppose -5*l = -2*i - 12, 3*i = -0*i + 5*l - 8. Let g be (-3)\/i - k\/1. Sort g, 1\/6, -0.3 in decreasing order.\nAnswer: 1\/6, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23301665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 27*p + 55 = 4*u, 5*p = -7*u + 95. Calculate the remainder when 39 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-2\/29)\/i)\/i)\/i)\/(i\/(i*i**(-2\/3)*i)))\/((i\/(i*i\/(i**10*i)*i*i))\/i**7) assuming i is positive.\nAnswer: i**(-325\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 540 divided by 135\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q)**(3\/2)*(q*q*(q\/((q\/q**(-1\/37))\/q))\/q)\/q**(-1\/8) assuming q is positive.\nAnswer: q**(-2043\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 8a36?\nAnswer: 8a3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.34? (a) -1\/8 (b) 0.06 (c) 0.1 (d) -393 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16408*i*v**2 - 11*i*v + 2*i - 2023575*v**2 wrt i?\nAnswer: -16408*v**2 - 11*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 0 + 1\/6*z**3 + 6*z + 0*z**2. Let k(d) = 2*d + d - 4 + 4. Calculate k(y(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 5*t**2 + t - 6. Let m(p) = 4*p**3 + 11*p**2 - 2*p + 11. Determine -11*a(q) - 6*m(q).\nAnswer: -2*q**3 - 11*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Suppose -205 = -m*t + 2*j, -j = t - 64 - 11. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18134.06 years?\nAnswer: 1813.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 14*a + 15. Let p be k(13). Suppose p*u = u + 10. Suppose u + 10 = q. Calculate the smallest common multiple of q and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 + 4)*(4 - 2 - 4) + 2 + 1 - 1)*(710*g**3 + 13*g**5 - 710*g**3).\nAnswer: -26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 4*r - 1 + 2*r)*(0 + 2 + 1)*(5*r - 3*r + 2*r) to the form w*r + d + l*r**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*i - 188 = 0, -292 = -5*p - 0*p + 2*i. Let v be p\/25 - 2\/5. Suppose 0 = -v*f - 8 + 30. What is the lowest common multiple of f and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6035 equal to 6540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.01602*26\nAnswer: -0.41652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(2\/11)\/s)*s*s**(1\/14))\/(s*s\/((s**(-1)\/s*s)\/s)*s**(3\/11)))\/(s**(-3\/7)*s*s**(-7)\/s*s*s\/(s\/(s*s**(3\/4)*s))*s**(-1\/5)) assuming s is positive.\nAnswer: s**(549\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155 - -2?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58.7 - 9.7. Let b = 48.9999947 - u. What is b rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + 1 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132782148383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - (111 - 41)) + 112 - -27.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1192 + -1188. Which is the nearest to -1? (a) -4\/3 (b) f (c) 0.2 (d) 191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46 or -49?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*v - 555*v**3 + 36*v + 601*v**3 wrt v.\nAnswer: 276*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1460*p**2 - 83848*p - 1970640.\nAnswer: 2*(p - 70)*(p + 18)*(p + 782)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2. Let c(u) = -25984*u**2 + 121*u - 2. What is c(l(q))?\nAnswer: -25984*q**4 - 121*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1124c + -3?\nAnswer: -11250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 - (-5 - -3 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135964483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28316695 or 28316699?\nAnswer: 28316699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khkhrkh. What is prob of sequence hkk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4245155*v**3 + 4245177*v**3 - 16*v + 16*v.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5266.29881 - 5262.89880983. Let v = j + -3.4. Round v to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s - 4*i = -40*s - 9, -s - 4*i + 3 = 0. Solve -s*r + x - 12 = 0, r - 3*x + 0*x = 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -771 or 47\/486?\nAnswer: 47\/486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.2782 - -15.3. What is w rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 19 = -k - 8, -f - 34 = -4*k. Suppose 2*m = -g - k, -5*m = 5*g + 23 + 7. Let h(i) = -i**2 - 5*i - 2. Calculate h(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-9) - (-18)\/54. Suppose 3*h + 30 - 7 = 5*z, -a*z - h + 11 = 0. Solve z*s - 21 + 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(16)*-6)\/(sqrt(24)\/(sqrt(18)\/sqrt(6))*2) + 5.\nAnswer: 5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 2*n**2 - 6*n - 5. Let d be b(4). Suppose -12 = -q - d*o, 5*q + o - 61 = -15. Solve 4*p + 2*g - q - 13 = 0, p + 4*g = 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -1)\/(-2 + 15\/6). Let j(g) = -t*g**2 + 8*g**2 - g**3 + 6 + 11*g + 8*g**2 + 2*g**3. Determine j(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 44007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43451*k + 176417*k - 44324*k - 44319*k - 44325*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 13}. What is prob of sequence yhyy?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) + (-28)\/(-6). Suppose y*a - 120 = -5*s, -4*a + s + 104 = 2*s. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -57852942?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*(2 + 2 - 3) + (0*v + 0*v - 5*v)*(-2 + 1 + 3).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4 + 14*n - 31*n**3 - 2*n**4 - 34*n**3 - 18*n**2 + 75*n**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -8*j + 2*j. Let u be (-2)\/8*(-2)\/3. Let n = 0.04 - 4.04. Which is the third smallest value? (a) u (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2.8, -5, -1 in descending order.\nAnswer: 2.8, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 2*i + (-1 + 1 + 2*i)*(1 - 4 + 5) + 2 + i - 2 + 2 - i - 2 + 1684 - 1684 + 127*i to the form d + w*i and give w.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n + 49 + 17*n - 26 wrt n?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -338, -740, -1302, -2024?\nAnswer: -2906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219888656 by -3.\nAnswer: -219888656\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5951, -11907, -17867, -23831, -29799?\nAnswer: -35771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, y: 5, h: 2}. What is prob of sequence yyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + t = -2*t + 497, -2*t + 2511 = 5*q. Suppose -2*w = 3*p + 3*w - q, -4*w = 20. Calculate the highest common divisor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111200111212 (base 3) to base 10\nAnswer: 269375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4968 - -4971. Let l(o) = 4*o**2 + 4*o**2 + 9 - 4*o**2 + 4*o + o**3 + 4*o**2. Let u be l(-6). Calculate the greatest common divisor of a and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 31 = -4*d - z, 0 = -5*d + 2*z - 45. Which is the closest to -3? (a) 4\/7 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.3, 7, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -123, -282, -439, -594, -747, -898, -1047?\n\"Answer: p**2 - 162*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4433?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 + -13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzwc when four letters picked without replacement from cdzrdwp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 56*c**2. Let k(q) be the first derivative of 19*q**3 - 2619. Determine w(k(z)).\nAnswer: 181944*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2442*l = -2433*l - 5499. What is the remainder when l is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 11 - 1. Solve -4*y = -0 + j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8821 - 17466 - 13*s**3 + 8645.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 713\/(-478) - 102\/(-68). Which is the smallest value? (a) 1 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -601.69 from 10.46651.\nAnswer: 612.15651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 - 6 = 0. Solve 0 = -z*b - b + 3, 0 = 4*q + 4*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/20*76\/6. Let o = -16 + s. Solve -4*t + 3*b = 12, -5*t + o = -b + 7 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -155757, -4, 6, 4, 2 in descending order.\nAnswer: 6, 5, 4, 2, 1, -4, -155757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((36\/8)\/3)\/(-5 + 2). Let k = 1164 + -1164.1. Sort 2\/5, k, m, -4 in increasing order.\nAnswer: -4, m, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/17 in 19\/21, 3, -7?\nAnswer: 19\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1077412 - 611296. Let l = 1276116 - c. What is l rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/3 + j**4 - 4*j**3\/3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 9. Suppose -2*m + 6 - 2 = n, -5*m - 2*n = -12. What is the remainder when 724\/14 + m\/14 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + (70 + -41 - -130)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12680 = 54*g + 12950 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1987*j - 9740. Calculate b(5).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -117, -236, -357, -480, -605, -732?\n\"Answer: -u**2 - 116*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/3116 and -47\/1368?\nAnswer: 56088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 23.\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*c = -3*u - 7, -23 = 3*u + 5*c. Let n(v) = 2*v**3 - 7*v**2 - 3*v - 3. Let r(i) = -5337 - 4*i + 2774 + 2562 + 3*i. What is u*n(t) + 3*r(t)?\nAnswer: -2*t**3 + 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 1. Suppose -5*x = -t - 2. Let r(l) = -l**3 + l**2 - 1. Determine r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.12701 (b) -0.2 (c) 1 (d) 0.3 (e) 314\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2302 divide 26362742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -19*z. Let j be v(-1). Suppose j = 3*b + 7. Solve -5*n = i + 3, -3*i + 2 - 11 = b*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiee when four letters picked without replacement from {i: 6, e: 2, y: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(30)\/sqrt(3)) + 4*2*sqrt(19))**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6863, -13690, -20473, -27212?\nAnswer: -33907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 113\/3 (b) -2\/3 (c) 0.4 (d) -1\/5 (e) 6\/11 (f) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 3*s + 646\/5.\nAnswer: -(s - 34)*(s + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.2, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12612?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 13, -29, -109, -239, -431, -697, -1049?\n\"Answer: -2*p**3 - p**2 + p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26594.8697 to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2 = -0*g. Let p(a) = 6*a - 2*a - 4*a + g*a. Let h(r) = -4*r**2. What is h(p(b))?\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(500)*4*1)\/(sqrt(250) - sqrt(250)*1 - sqrt(250) - 3*sqrt(10)*-2).\nAnswer: -320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -1\/20*q**5 + 0 + 21*q**2 + 5\/8*q**4 - 2*q**3 + 0*q. Suppose o(d) = 0. What is d?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -17*n - 48 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + 9 + -4 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 45 - 33, 0 = -5*r + 3*p + 27. Let o(c) be the second derivative of 2\/15*c**4 - 13*c + 0 + 11\/15*c**r - 3\/5*c**2. Factor o(d).\nAnswer: 2*(d + 3)*(4*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = -2*v + 194 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2371*u - 270*u + 2 - 195*u + 66*u - 1192*u.\nAnswer: -3962*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(10)\/(sqrt(5) + sqrt(500)))**2.\nAnswer: 486\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -90*p**3 + 3*p**2 + 8*p + 6. Let g be u(-2). Suppose 0 = -2*s - s + 4*i - 525, 4*s = -2*i - g. Is -180 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -21337\nAnswer: 10\/21337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 7*o**2 + 8*o - 5. Give a(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14656235, -14656219, -14656203, -14656187, -14656171, -14656155?\nAnswer: -14656139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97636272 by 58.\nAnswer: -1683384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 8*l, -3*c - 3*l - 2 = -23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w - 14*w + 21*w - 55*w + 8 - 15*w in the form z + f*w and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111972\/(-8680) + (-27)\/(-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239800 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -32891141387.\nAnswer: -32891141386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 1 + 0*j - 4. Let g be b(-7). Let f be (-4)\/(8\/6) - -15. Solve s + g*s = f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 0*j - j)*(2 - 1 + 1) + 41 + 1071*j - 539*j - 533*j as n + y*j and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 39 = -2*l, 5*l = 3*x - 0*x + 66. Solve 3*g + l = 6*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/(-80)*100\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*t + 4*h - 2, -3 = 2*t - 3*h. Let f = t + 13. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-8 - -9 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 9*r + 3. Let f(w) = 2*w**2 + 2572*w - 850220. Let s(l) = -f(l) - 4*t(l). Factor s(c).\nAnswer: 2*(c - 652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505703325 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: Solve -1010*z + 0 + 2 = 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123697*x + 123693*x + 76 = 0 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15070*t**2 - 959*t - 137. Let x(a) = -548*a**2 + 35*a + 5. Let u(l) = -5*s(l) - 137*x(l). Let j(i) = -5*i**2. Determine j(u(d)).\nAnswer: -375380*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.716448 minutes in days?\nAnswer: 0.0171642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63*1\/(-15)*-1)\/3.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/40 + 7*l**5\/5 + l**3 - 6*l**2 - 4. Let p be y(-28). Solve a = -p*a + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - j + 24, -17 = -5*q - 3*j + 15. Differentiate 20*k**4 - 11*k**q - 5 + 0 with respect to k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Suppose -7*d = -3*d + 20. What is the remainder when 1 + -2 - d - g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29605724 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 443, 982, 1737, 2708?\nAnswer: 3895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -915*o**3 - 11913*o**2 - 234*o.\nAnswer: -3*o*(o + 13)*(305*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 3421?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69829 is divided by 1371.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 6*i - 2. Suppose 0 = -3*u - 533 + 98. Suppose 204 + 96 = 2*o. Let p = o + u. Give k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(14\/4) - -5. Suppose -p*m = -5*m - 242. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120977.\nAnswer: 120977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -589*w + 402 = -583*w. Solve -w*j + 66*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19035 and 1890.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 89*a - 42*a - 28 - 18*a. Is p(7) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 6. Let v be j(-10). Let z = v - -64. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62975.\nAnswer: 5, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 + 0 = -3*b, 14 = 4*p + b. Put -1, 1, p, 0 in decreasing order.\nAnswer: p, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/9 - 32\/12. Let a(i) be the third derivative of 0 + 0*i + 1\/3*i**3 - 1\/12*i**4 + 2*i**2. What is a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/8 + 263\/72. Let b(k) be the first derivative of 0*k**2 - 1 + 1\/30*k**5 - 1\/18*k**3 - 1\/24*k**4 + p*k**6 + 0*k. Factor b(q).\nAnswer: q**2*(q - 1)*(q + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2575*t + t**2 - 6*t**3 - 5148*t + 2573*t - 5*t**4 to the form q*t + i*t**4 + c*t**3 + b*t**2 + z and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 135305 (base 10) to base 12\nAnswer: 66375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127884930?\nAnswer: 2, 3, 5, 4262831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 7 - (-3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Suppose -25*z + 23*z + 4 = 0. Let s(r) = -69*r**2 + 135*r**z - 75*r**2. What is s(l(k))?\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.872 + -2.128. Let h = -2 + 3. What is the nearest to h in w, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30576 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (157 - 34) + 24\/(-324) + (4512\/81)\/(-4)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498240 = -86*n - 46*n - 28*n. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3667 + 3668. Sort 6, x, 5, -4 in decreasing order.\nAnswer: 6, 5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100102 (base 3) to base 6\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let y(t) = -t**2. Let r(h) = 4*i(h) + 7*y(h). Let w(m) = -135*m + 1. Determine r(w(j)).\nAnswer: 18225*j**2 - 270*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-17)\/255*-355\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2451 - 2448. Which is the closest to -277? (a) -4 (b) -5 (c) y (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14583 = 81*d + 15555 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114520 and 5280?\nAnswer: 15116640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + p + 84*p**3 - 221*p**3 - 36*p**3 - 3*p**2 in the form z*p**3 + d*p + b + r*p**2 and give z.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.3, -3, -2, -0.3, 72?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -26*w**2 + 32. Let x(g) = g**2. What is c(x(r))?\nAnswer: -26*r**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865075.\nAnswer: 5, 34603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*x**2 - 9*x**3 + 42*x**2 + 43*x**2.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -11*v**6\/20 + 23*v**5\/30 - 12*v**2 - 2. What is the third derivative of g(n) wrt n?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqpbzqppppp. Give prob of picking 1 p, 1 b, and 1 z.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220010121 (base 3) in base 2?\nAnswer: -10010101101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 15*s - 44. Determine k(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2. Let v(b) = b**3 - 3*b**2 - b + 11. Let a(x) = -p(x) - v(x). Let k be a(4). Let c(l) = l**2 + 7*l + 7. Determine c(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6487 or 13338?\nAnswer: -6487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 272431114 to the power of 1\/3, to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785976392.\nAnswer: 2, 98247049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**3 + 2*c**2 - 1. Let l(n) = 41*n**3 - 11*n**2 + 5. Let q(o) = -6*l(o) - 34*m(o). Let f be q(-2). Let b = f - 22. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*w + 16. Let j = 73 - 37. What is the tens digit of 4\/(w\/j)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + -4*(-2 + (sqrt(1088) - sqrt(1088)*-2)**2 + 1)*-4) + -1.\nAnswer: -313307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 45 (b) 3\/5 (c) -4\/421 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 40*t - 5. What is k(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 13*g + 26. Let a = -37843 + 37836. Give m(a).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 786505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*v + 4*v - 4*m, 0 = -2*v - 5*m - 10. Suppose v*x + 818 = 823. Let t(a) = -11*a**2 + a - 1. What is t(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m**2 - m + 1. Let y(o) = 237*o**2 - 3*o + 6. Give 4*p(s) - y(s).\nAnswer: -277*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = 4*i, 0 = -2*i + g - 3*g + 2. Suppose -4*q = -18 - i. Suppose 3*r = 5*r - q. Solve r*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-3)\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:44 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61702 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 10646 - 1573 + f.\nAnswer: f + 9073","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31.9 > -2461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/3)*o*o*o)\/o)\/o*o*o**(-6))\/(o\/(o\/(o*o**(-1)\/o))*o)**(8\/9)*(o\/o**(-7)*o*(o\/o**2)\/o)\/(o\/o**(-5)*o*o\/(o**0*o)) assuming o is positive.\nAnswer: o**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a7 - -30a?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 17*l**2 - l + 19. Determine g(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 8*u**2 - 16*u + 28. Let o be w(6). What is the highest common divisor of 92 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - -3 - (0 + -1)*3. Suppose i - 2 = -s*i. Let t = 16 + -10. What is the remainder when t is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15870 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 63. Let q = 4 + t. Let a = q + 24. Solve 2*b + a = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.149 weeks in milliseconds?\nAnswer: 27306115200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5 + 0 + a**3 + 4 + 4*a**2 + 2*a. Let k be o(-3). Suppose m - 5*v - 9 = 13, k*m - 11 = -v. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7)\/f**(2\/23))\/((f*f\/(f*f*f**8))\/(f*f**5)))**(22\/9) assuming f is positive.\nAnswer: f**(48268\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from mpmdppdmppmpppmmd?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 0 + 6. Let t(w) = -w**3 - w**2 + 1. What is t(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 6. Let a be (1 - 6)*(-14)\/10. Let s(i) = 2*i**2 - 16*i - 1. Let b(f) = f**2 - 8*f. Let o(t) = -14*b(t) + 6*s(t). Let x be o(a). What is r(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1226557, 2, 4 in ascending order.\nAnswer: 2, 4, 1226557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, w: 2}. Give prob of sequence wyw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0 + 9\/7*o**2 + 3\/7*o**3 + 0*o = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 111754939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 114*z - 526. Calculate u(0).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130805*k = -130832*k - 756 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 384114 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25544454.\nAnswer: 2, 3, 13, 327493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70022 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11767608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*19.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 18*y**3 + y**2 - 2*y - 2. Let i be q(4). What is the tens digit of (52\/(-78))\/((-2)\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -21\/2. Is 3 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(8\/30)*2*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(63\/(-6))*-3. Suppose 18 = -q*v + 70. Suppose -f + 31 = 2*t - 0*f, -v = -2*t + 4*f. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -15\/2, -1, 3\/7, -3\/29, 1\/6, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:33 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 6. Suppose -16 = -5*n + u, -u - 3 = -4*n + 10. Solve c*w - 15 = n*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*j + 79 = 0, -2*j + 83 = -3*v - 0*v. Let k = 21 + v. Put -4, k, 2 in decreasing order.\nAnswer: 2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.957 - -10. Let f = q + -0.041. Let p = 0.298 + f. Which is the nearest to 2? (a) -4 (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0*f**5 + 0*f**3 + 0*f**4 + 2*f + 17\/30*f**6 - 3\/2*f**2 + 0. Differentiate a(v) wrt v.\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -60*s - 16. Let y(t) = 41*t + 3 - 147*t + 43*t + 32*t + 43*t. Give -2*n(o) - 11*y(o).\nAnswer: -12*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -t - t + 20, -2214*t + 123 = -11*h - 2216*t for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 4*s - 111. Is 8547\/s + 1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 318999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (-7 - 117) - -12.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(32)*-2 - (sqrt(64)*2 - sqrt(64))\/sqrt(8))\/(sqrt(144) + (-6*sqrt(144)*2 - sqrt(144))) + 2)**2.\nAnswer: -2*sqrt(2)\/9 + 649\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 58 = 31*y + 4*x, 2*y + 4*x = 66. Let s be 61\/2 + (-1)\/2. Let d = y - s. Which is bigger: 24\/11 or d?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155225705?\nAnswer: 5, 97, 320053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.8 + 37. Let o = -19 + g. Let q = -3.58 + 3.08. What is the closest to -1 in o, 3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 1429176*y**3 + 170210574066*y**2 + 340425435672*y + 170213432427.\nAnswer: 3*(y - 238197)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 6 + 11 - 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:02 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Suppose 6 + 2 = u*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 + 0 = 0. Suppose 0 = 2*s - w - 6. Calculate the remainder when 14 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -0, -35 = -5*b - 5*x. Suppose a = -w + 1027, -9*w + 5119 = -4*w - b*a. What are the prime factors of w?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184998?\nAnswer: 2, 3, 11, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4370\/1932)\/95*480\/(-16)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:50 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8880.3 to the nearest 100.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1121?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -2285, -8120, -19483, -38216, -66161, -105160?\nAnswer: -157055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35\/2 - 409\/22. Let g = -127\/2 - -319\/6. Find the common denominator of g and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 357 - -19?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 - 10*v - 9. Let o be r(5). Let p(m) = o + 19*m - 36 - 30. Let t(w) be the third derivative of w**4\/24 - w**2. Determine t(p(c)).\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -7) + 2 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*c + 16*c - 754 = 0 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 930530 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p + 1671. Let f = p - -803. Does 11 divide f\/22 + 2\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/40 + c**4\/8 - c**3\/6 + 7*c**2. Let f(q) be the first derivative of v(q). Does 11 divide f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = n + 4*h, 0 = 3*n + h + 2*h - 30. Find the second derivative of 0*p - 2*p - p - p**n wrt p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let i(v) = 23*v + 25. Let s(q) = -12*q - 14. Let k(z) = 5*i(z) + 9*s(z). Determine r(k(l)).\nAnswer: -7*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/(-60))\/(-1 - (-2)\/3). Let y be (n + 0)*(-19)\/(-418). What is the third smallest value in y, 11\/4, 0.3?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v + 33. Suppose 6 + 46 = 10*h - 48. What is t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 0.1, 20, 366\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 2*n. Suppose 3*t = -4*f + 8, -3*t - t + 4 = 2*f. Let k(g) = 6*g**2 - 6*g + 1. Let j = 1 - -7. Suppose j = 4*y - 20. Give f*k(p) + y*h(p).\nAnswer: -2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 = -5*p, -2*t - p = 57. Let s be (-48)\/(-26) + (-4)\/t. Let j(l) = -l**3 - 2*l**2 + l - 4. Let x be j(-3). Solve 0 = x*u + s*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -0.2, 25\/4, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.77 * 0.00462.\nAnswer: -0.0589974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32628 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/z)**(-2\/91)*((z*z**(-12)*z)\/z)**31 assuming z is positive.\nAnswer: z**(-31047\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -24. Suppose -m = -j - 4. Let b be 6\/((-12)\/(-10)) + (-2)\/(-1). Solve -b = m*a + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-30)*9\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -341103, -1, 4 in ascending order.\nAnswer: -341103, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3433.\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5915802826?\nAnswer: 2, 97, 30493829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1332.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*p + 89*p + 85*p - 263*p + p**2 - 3*p**3 - 43 to l*p**3 + h*p + v*p**2 + x and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-160)\/6 - 6\/(-9). Let y = 37 + k. Calculate the lowest common multiple of 9 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3\/5 + 2088*a**2\/5 - 184868*a\/5 = 0.\nAnswer: 0, 113, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o. Let v(y) = 16*y**2. Determine n(v(i)).\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-3 + 260\/(-39)). Solve x = -4*w + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35230 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(15\/(-16)) - 2\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 1 + 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*m**2 + 333*m**2 - 37 + 18 + 19.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 10) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -5\/274 (b) 1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-406)\/6 + 13\/(-39). Let n = -65 - k. Let b be ((-6)\/(-9))\/(5\/30). Solve -3*u = b*j - 23, 3*j + 6*u - 18 = n*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 12. Let j be l(-6). Suppose -q = -2 - j. Let s = q - 1. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 11. Let b = x + 19. Let f(v) = v**3 - 6*v**2 + 5*v + 2. Let i be f(b). Solve -3 = -y + i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 2*p + 5. Suppose 2*j + 16 = 4*s, -4*s - 5*j = -2*s + 4. Suppose -i - s*i = 2*i. Determine y(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 7*o**2 + 7*o**2)*(-6 - o**3 + 11 + 7*o + 2*o).\nAnswer: -12*o**5 + 108*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132*a**2 + 410*a + 14382.\nAnswer: -2*(a + 9)*(66*a - 799)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 4\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 - 2*l**3)*(-2*l + 4*l - l) + l**4 + 2*l**4 - 6*l**4.\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*y**3 - 41*y**3 - 21*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1512\/(-3230) + (-10)\/(-25). Let j = 34811\/5814 - d. Find the common denominator of 1 - 4 - 30\/80 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5)\/((-67)\/(-2345))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320 + 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 36\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:09 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6398779.02 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7049, 7085, 7121?\n\"Answer: 36*k + 7013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2*w**2 + 4*w**2 - 3)*(w + 12 - 12)*(-3 - 3 + 4).\nAnswer: -4*w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35332324 - -0.598.\nAnswer: -35332323.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5046?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(5246\/(-12384)) - -17\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 100*g**2 - 164*g**2 + 61*g**2 to the form j*g**2 + k + w*g and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 92 = i. Let y = -53 + i. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56907?\nAnswer: 3, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4\/8 + 7*h**3\/8 - 9*h**2\/2 + 5*h\/2 = 0?\nAnswer: -5, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*x**3 + 3*x**2 + x**2 - 5*x**2 + 0*x**2 wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 + i. Let q(j) = -49*j**3 + 2*j**2 - 8*j. Calculate q(v) + 2*w(v).\nAnswer: -47*v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2677190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbblxlxbbbxlbbbxlbx. Give prob of sequence xbbx.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -540 + 2733. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -10. Let k be (-11)\/(-3) - q\/3. Put k, -2, 5 in ascending order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h**3 + 1604*h**2 + 13109*h - 338. What is d(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21*v**2 - 6. Let y(t) = 2*t + 40. Let w(n) = -n - 30. Let x(u) = -4*w(u) - 3*y(u). Give x(q(r)).\nAnswer: -42*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let o(n) = -n - 14. Let u be o(-18). Let w(h) = -u*h**2 - 11*h**2 + 5*h**2. Calculate b(w(j)).\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 888479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34707270 is divided by 26616.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 + -128. What is the greatest common divisor of 240 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Suppose -2*v - 1 + 9 = -4*p, -3*p = t. Suppose 3*u - 305 + 28 = v*g, 3*g = 3*u - 273. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, l: 3}. What is prob of sequence oool?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 7:34 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 655 + -652. Let q(y) = -4*y + m*y - y + 0*y + 3*y. Let z(b) = -5*b + 1. Calculate -4*q(u) + z(u).\nAnswer: -9*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4368, -4372, -4388, -4422, -4480, -4568?\nAnswer: -4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3495, -7466, -11923, -16860, -22271, -28150, -34491, -41288?\nAnswer: -48535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.335778631 rounded to 4 decimal places?\nAnswer: 0.3358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 2.2.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*m + 924 - 754 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccbb when four letters picked without replacement from {c: 8, b: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73004, -145972, -218944, -291920, -364900, -437884, -510872?\n\"Answer: -2*t**2 - 72962*t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**8\/560 + l**6\/72 + 5*l**3\/6 - l**2. Let t(n) be the first derivative of k(n). Find the third derivative of t(z) wrt z.\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-184)\/34776*-576)\/(4\/(-6)).\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -59086661, 5.\nAnswer: -59086661, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 2. Let o(s) = -s + 9. Let q be o(d). Suppose -3*c + q + 23 = 0. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135270 or -135073?\nAnswer: -135270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6*s**(2\/7)*(s*s*s**(-2\/5)*s)**(-1\/34) assuming s is positive.\nAnswer: s**(7389\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, -61, 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g + 440. What is n(-36)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - z)*(z - z + 2*z) - 5*z**2 + 0*z**2 + 4*z**2 + (z - 3 + 3)*(-2*z - z + 5*z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**3 + 3*v**2 + 75*v - 75 = 0. Calculate v.\nAnswer: -5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 548\/60 + (-2)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + -10 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*t - 53*t - 66 = 0. What is the lowest common multiple of t and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 383483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01852071*1.44\nAnswer: -0.0266698224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 97 - 605*q + 623*q.\nAnswer: 18*q + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*a + 0*a + 25537 - 1299*a**3 - 25873 wrt a?\nAnswer: -3897*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/(-42))\/((-45)\/(-24))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 2*v**2 - 4*v - 3. Does 12 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6220 and 395481284?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -212111200021112?\nAnswer: -212111200022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32050 + 29138 = 91*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:54 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/87032 and -31\/10879?\nAnswer: 87032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 2291*r - 34818. Give d(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 529 + 2836400*y**2 + 2*y**3 - 200 - 2836398*y**2 as h*y**2 + f*y**3 + i*y + s and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20 + 6 + -8)*(-20)\/(-55)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 3999*x\/2 + 98725.\nAnswer: (x - 3949)*(x - 50)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-40))\/((-3)\/(-585)). Let n = g + 644. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -48. Let u = 71 - -50. Let y = u + -125. Which is the closest to 3\/7? (a) y (b) 2\/9 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7515862499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498615274.\nAnswer: 2, 197, 1265521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(2) - sqrt(2)))**2 + sqrt(162) + 0.\nAnswer: 4 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 4, n: 1, j: 1, u: 1}. What is prob of picking 1 n and 1 m?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.2761 months to centuries.\nAnswer: 0.18189675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 45. Let h = f + 68. Let q = -40 + h. Which is the closest to -0.3? (a) 0 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -139*b - 119. Let s be v(-4). Let u = 851 + s. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(1 + 15\/(-12)). Let b be c*-2*(-6)\/12. Let f = -3 + b. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 5*w - 3*f + 11*f, -21*w + 22*w = -5*f + 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.155 + 5073179590293.\nAnswer: 5073179590292.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 8) + (5 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8 + 1 + 6*a + 1. Let s be 6 + (-416)\/39 - 8\/6. Let j(o) = -8 + 0*o + 1 + 7*o. Give s*y(r) + 5*j(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 738 + 818 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4126.2 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26129 + 37932. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/13 - 89950*r**2\/13 - 1012049600*r\/13 - 15160512000\/13 = 0.\nAnswer: -22480, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1602 and 6249402?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 45.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 564.09406764+1\nAnswer: 565.09406764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 3)\/((-3)\/3). Factor 12*l**3 - l**5 + 3*l**4 + l**2 + b*l**4 - 15*l**3.\nAnswer: -l**2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 25, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 60 = 30. Let v(p) = 48*p. Let h be v(-1). What is the remainder when t is divided by h\/(-15)*1*5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -607*s + 9906. Determine o(16).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o. Let b = -137 - -139. Let u be (b - 5) + -4 + -2 + 0. Let j(h) = -h**2 + h. Calculate u*j(x) - i(x).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 1, d: 1, y: 2, c: 1, u: 2, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131718911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*f + 15 = 0, f - 2*f - 5 = 0. Solve k = -2*i + 3*c + 22, 0*c - 5*c - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18859, 19340, 19821, 20302, 20783, 21264?\nAnswer: 21745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40491713 to the nearest integer?\nAnswer: 6363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2101.906 and -2.\nAnswer: -4203.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410616*c - 410620*c - 5*t = 51, -c - 19 - 20 = 5*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - (6 + -12 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*v - 10. Solve 4 = -4*f - 5*r - 7, -v*r = 2*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 18. Let a be c(-12). Let s be (-11 + 14)*244\/a. Let g = s - -861. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -177241*g**5 + 10447957*g**4\/3 - 59317958*g**3\/3 + 79450690*g**2\/3 - 12972741*g + 2071683 = 0.\nAnswer: 1\/3, 277\/421, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.6838 + 0.0162. Let b = v - 27.6999867. Round b to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - 3)\/(-3 - (-166)\/56) is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 17 + -6 + 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 29*y + 50. Let h be i(-27). Let l = -786 + 676. Which is the closest to -0.1? (a) h (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34278 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.11, 0.1, -26, 129, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2359020*t*u**3 + 2*u**3 - 2*u**2 + 76813*u wrt t?\nAnswer: 2359020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -339137.094 + 339138.59400027. Let v = t - 1.5. Round v to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354 (base 8) to base 13\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = -0*z. Let p = 2 - z. Factor -5*l + 2*l**p - 3*l + 2 - 2*l**2 + 2*l + 4*l.\nAnswer: 2*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 times 64319?\nAnswer: -488824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -691, -684, -657, -622, -591, -576, -589, -642?\n\"Answer: -2*j**3 + 22*j**2 - 45*j - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 4*q - 3 - q + 11*q. Let y be r(3). Let n(u) = -u**3 + 5*u**2 - 3*u. Calculate n(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 13*m**2 + m. Let l(u) = -5*u**3 + 35*u**2 + 136*u - 40. Let o(i) = -6*b(i) - 3*l(i). Factor o(t).\nAnswer: 3*(t - 5)*(t + 4)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iggggvgggipliigl. Give prob of picking 1 l, 1 g, and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/(39\/(-24))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25170, 25161, 25150, 25137, 25122?\n\"Answer: -g**2 - 6*g + 25177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/(-2))\/(105\/(-4284)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76036 less than 824?\nAnswer: -75212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 2*n + n)*(-1 + 3 + 0)*(-19*n**2 - 2*n**4 - 5*n**3 + 19*n**2).\nAnswer: -24*n**5 - 60*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60410, -60409, -60408, -60407, -60406, -60405?\nAnswer: -60404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 96 = 5*w + 25, -109 = -2*l + w. Suppose 3*s = 5*s - l. Calculate the smallest common multiple of 16 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 22 - 29 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:04 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*o + 48*o**5 - 40*o + 5 - 3 wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -396, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 = 3*j. Sort j, 4, -5 in ascending order.\nAnswer: -5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -346, 0.3, -3, -0.083, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -33.916. Let w = 6.916 - d. Let v = 2.1 + -2. Is v equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from nbbbbbn.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 28159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500994 and 18.\nAnswer: 500994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -58*k - 1390. Let x be o(-24). Solve -3*a + 7 = x*s, -2*a + 0*s = -3*s + 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321247 + 1030?\nAnswer: -320217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (930\/180 - 20) + 15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 952\/7038 + (-6)\/(-69). Suppose 5*z = -4*h - 17, 3*h - z + 1 = -26. Which is the smallest value? (a) -1 (b) t (c) 3\/8 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9600 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -70.5. What is the third biggest value in t, 1, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -2\/45*l**5 + 0*l**3 + 0*l + 0 + 1\/18*l**4 + 41*l**2. Factor p(z).\nAnswer: -4*z*(2*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 3*k**2 + k**2 - 3 + 3 + 2*k**2 + (26*k - 67*k - 9*k)*(0*k + k + k) to the form h*k**2 + p*k + t and give h.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*d + 16 = 0, -54109*a + 3*d + 20 = -54111*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3126, 3132, 3162, 3234, 3366?\n\"Answer: 3*z**3 - 6*z**2 + 3*z + 3126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 16 = 2*x. Suppose 2*l + x = 6*l + 4*m, l = -4*m + 4. Let -l - 2*v + 4 + 2*v**2 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b*w**5 + 3*b*w**2 - 34*b - w**5 - 1295*w**3 - w**2 - 23*w wrt w.\nAnswer: -420*b*w**2 - 60*w**2 - 7770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (sqrt(72) + -1)*5 + -2.\nAnswer: -7 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -9\/2*q**6 - 3*q**3 + 0*q + 3*q**2 - 63\/4*q**4 - 15*q**5 - 4. Factor p(k).\nAnswer: -3*k*(k + 1)**3*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, k: 3, x: 1, b: 5}. What is prob of picking 3 k and 1 b?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*o = 16, -6*f + 3*f = 3*o - 6. Suppose 3*h - 300 = 3*v, 2*h - v = -f*v + 182. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -348 + 345. Is 1*(57920\/30 + (-1)\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101214 (base 5) in base 14?\nAnswer: -12c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 636379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, z: 2, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -22. Let w be (6\/4 + -1)*44. Let d = w + b. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42340 divided by 1297\nAnswer: -42340\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-18))\/(6 + (-4124)\/688). Is -2\/3 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.2, 0, -15, -2, -1, 1629, 1\/6?\nAnswer: 1629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48814, -101866, -154918, -207970, -261022?\n\"Answer: -53052*g + 4238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 21. Suppose -4*n + 920 = 5*y, -207 = -n - g*y + 12. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 2*m - 11. Suppose -4*j = -5*b - 37, -3*b - 1 = -b + 3*j. Let r be q(b). Differentiate -g**3 - 2 - r*g + 24*g with respect to g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22548 + 8260?\nAnswer: 2a7a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 394 = 2*q, 4*q - q - 961 = -5*g. What are the prime factors of g?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -883665950*g**2*n*y - 73*g**2*y + 143*g*y - y + 261 wrt n?\nAnswer: -883665950*g**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {p: 10, x: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Suppose 0 = -0*a + k*a - 25. Solve 3*r - a = 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0*u + 0*u - 8*u + 5*u. Let y(p) be the third derivative of 0*p**3 + 3\/20*p**5 + 0*p + 0 + 0*p**4 - 4*p**2. Calculate y(m(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212036 is divided by 30288.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24977.28 micrometers to centimeters.\nAnswer: 2.497728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 6. What is r(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012694 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 160*o + 95. Let c = -1 - -12. What is the remainder when h(-53) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2))\/(150\/(-200)). Suppose -50 = -z + 5*j, 0 = t*z - 0*j + 3*j - 48. Calculate the lowest common multiple of 135 and z.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30654)\/3 + (1 - 2). Let m = s - -224737\/22. Calculate the common denominator of m and 85\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.84 or 0.557?\nAnswer: 2.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/88 and -53\/3380.\nAnswer: 74360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 5*i**2 + 7*i + 13. Let y be z(5). Find the common denominator of 59\/32 and ((-99)\/(-90))\/(y\/(-20)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 857453*m + 291. Let h be t(-47). What is h rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194289722863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, -21, 2, 77, 222, 455, 794, 1257?\n\"Answer: 3*d**3 - d**2 - 29*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - j = 2*z - 7, -3*z + 7 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 761*k**2 - 3*k + 2. Let s(m) = 48*m + 2. Give s(p(q)).\nAnswer: 36528*q**2 - 144*q + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.55492 millilitres to litres.\nAnswer: 0.00655492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -11*a**6\/120 - a**5\/15 + 21*a**4\/8 - 271*a**2. What is the second derivative of o(t) wrt t?\nAnswer: -66*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -793 + 860 - (-6 - 3)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -429 bigger than 971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -76*z**6\/15 - z**5\/5 - 659*z**4\/6 - 1577*z. What is the third derivative of v(j) wrt j?\nAnswer: -3648*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 + 3*f - 6. Suppose -2*s - 2*s = 3*o + 35, -s = 2*o + 15. Give n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17177 or 5320.2?\nAnswer: 5320.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - (-4 - (0 - 0))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhtt when four letters picked without replacement from {h: 3, v: 2, q: 2, t: 3, j: 6}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.1, -1\/4, -2\/159, -24?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 + 120.0014. Let w = 17 + s. Round w to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 200, 266?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.9764*0.3868\nAnswer: -3.08527152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1. Let q(l) = -2*l**2 - 5*l + 2. Let y(i) = 2*b(i) + q(i). What is y(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60149817 and 220329?\nAnswer: 60149817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.4016 to zero decimal places.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 - 5 - (2 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1277c961a + -3?\nAnswer: -1277c9620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39025 divided by 7?\nAnswer: 5575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 5*r + 4. Let d(f) = 5*f + 21. Let v be d(-3). Determine p(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -5*u - 2. Let w(o) = -67*o**3 + 24*o. Let j(g) = -100*g**3 + 36*g. Let b(f) = u*j(f) + 7*w(f). What is the second derivative of b(q) wrt q?\nAnswer: 186*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7893?\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-380)*2\/(-3). Let o be (-6)\/152*1089308\/(-6840). Let p = o + c. Calculate the common denominator of p and 83\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -53, -72, -99, -134, -177, -228?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Suppose -13 = -r - m*r. Let o(l) = -8 + r - 6 - l**2 - 3*l. What is o(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 571407326 - 571407294.9999999. Let l = -73 - -104. Let g = k - l. What is g rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2829 + 2822. Which is the nearest to x? (a) -2\/49 (b) 4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t + 7*t**2 - 8*t**2)*(-64 - 10*t + 64).\nAnswer: 20*t**3 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73148783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*n**3 + 197*n**3 + 7 + 27*n**3 - 2*n - 8 + 71*n**3 as h*n**2 + f*n + p + x*n**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.007798314 and -27.416.\nAnswer: -27.423798314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.25, 1, -0.3, 5, 12, -16\/5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19128411268 and -0.5.\nAnswer: -19128411268.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 4:48 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595086 - 595066 + 1190152 + 9*v**2 + 5*v**2 + 40*v**2.\nAnswer: 54*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 + 15*h**2 - 13*h + 56. What is u(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542083?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/95796 and -53\/72.\nAnswer: 191592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**2\/2 + 3*z + 6. Let m be x(3). Solve -3*t + 0*t = m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-1 + 1 + -3 + -66. Let s = a + 69. Let x(j) be the second derivative of -j**3\/6 + 9*j**2\/2 + 2*j. Determine x(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10203 + 1302*d**3 - 10205 - 11749*d**3 + 20410 - 484*d wrt d?\nAnswer: -62682*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 23 = -3*r, 2*k + 2*r + 8 - 2 = 0. Suppose w = 3*p - 252, -23*w + 28*w = 2*p - 1208. Is (0 + 2)\/(-4*k\/w) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*y + 13, -2*y + 18 = -4*s - 0*y. Let a(i) = -26*i - 29. What is the remainder when a(s) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 2 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 444755203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -18 - 58. Solve 4*n - 4 = 2*h, 3*n + 2*h = u*h + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 55 = 190. Calculate the least common multiple of 11 and (-9 - j)\/(1\/(-4)*-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10401 is divided by 913.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -3*g - 18, -a + 27 = 3*g. Suppose a = -5*i + 8*i. What is the lowest common multiple of i and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -787, -813, -865, -949, -1071, -1237, -1453?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4156004 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(6 - 12*t**3 + 17*t**3 - 4).\nAnswer: 5*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1194 = -5*o. Suppose -5*g - 177 = -o. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 536?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 18*c**2 - 4*c**2. Let n(j) = 2*j - 3*j - j + 3*j. Give n(h(v)).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35008 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 2*b - 109 - 65, 3*d + 50 = 2*b - 112 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgssswp. Give prob of picking 1 g and 2 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -6, -1, 21.\nAnswer: -10, -6, -5, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + b - 31 = 0, -4*b = -h - 4*h - 36. Let f be (37\/(-111))\/(h\/9). Put 0, f, 3, -5 in descending order.\nAnswer: 3, f, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/60 + n**2. Let u(p) = 1 + 5 + p - 6 + 2*p. Determine u(q(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 11, 7871, -5 in ascending order.\nAnswer: -5, 4\/7, 11, 7871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89181 and 388557.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + 6 + -2 + (-2 - 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 44. Let w be b(21). Let t be ((-6)\/12)\/((-1 + 2)\/w). Put -3, t, 4, 1\/4 in decreasing order.\nAnswer: 4, t, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (17 - 14) - (7 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2149 - -3088. List the prime factors of u.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*d - 374*d = -3*u + 26, 5*u = 4*d - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, s: 3, w: 2}. Give prob of sequence scc.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.952706 to 2 decimal places.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 10. Let c be ((-28495)\/d)\/(6\/4). Let w = -946 - c. Calculate the common denominator of w and 65\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) 4 (c) 2.1 (d) 0.084 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7*f = 154. Suppose 28 = -0*j + 2*j. Calculate the greatest common factor of j and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63780571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753.3528ml to litres.\nAnswer: 0.7533528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58510?\nAnswer: 2, 5, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbppbvvpvbpppppppp. What is prob of sequence pvvv?\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*4)\/sqrt(5) - (sqrt(2) + sqrt(6)\/sqrt(3) + 1 + (-1 + sqrt(2))*6)**2.\nAnswer: -153 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4 = -130*l + 132*l, -k + 23 = 3*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23\/(-60) - (-2)\/8. Let b be (0\/(-1 - 0))\/(-3). Are b and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 41. Let f(o) = -27*o**2. Determine f(b(q)).\nAnswer: -243*q**2 + 6642*q - 45387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4320*t**2 + 2135*t**2 + 2692*t**2 as j*t**2 + l + n*t and give j.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -14. Suppose 0 = r - 3*w - 27, 3*w + 63 = 4*r - 0*r. Suppose 0 = -3*t + h - r. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*j**3 + 102453*j + 31180276 wrt j?\nAnswer: -51*j**2 + 102453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.92. Let x = 0.18 + o. Put -2, -0.3, x in descending order.\nAnswer: x, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4743 by -527.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20553, 40977, 61387, 81783, 102165, 122533, 142887?\n\"Answer: -7*z**2 + 20445*z + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 - 7*j + 7. Let k be z(2). Let f = -36 - k. What is the remainder when 68 is divided by (13\/(-6))\/f + 321\/18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - (sqrt(500) - 1*sqrt(500)*4))\/(sqrt(160) - sqrt(160)*-2))\/(6*4*(3*sqrt(10) + sqrt(10))*5)*-4)**2.\nAnswer: 1\/25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 321425209530338.\nAnswer: 321425209530338.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7*a - 5*t - 19 = 0, 0 = -a + 2*t + 1. Let l = a - -116. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c - 4*o - 39, o + 138 = 5*c. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -0*v + 4*v. Factor -2\/9*b**4 - 2\/9*b**2 + 0 + v*b - 4\/9*b**3.\nAnswer: -2*b**2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/(-296))\/((-2)\/((-32)\/18))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Let n = -139 - -151. Let a be (352\/33)\/(n\/18). Solve 0 = -2*o + b*g - a, 4*o + 3*g + g - 16 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from blbl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19563, -39068, -58529, -77946, -97319, -116648?\nAnswer: -135933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 15*o - 136. What is the remainder when m(16) is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1385568 and 432?\nAnswer: 4156704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 284616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 57 = -g, 0 = g + i - 53 + 16. Let m = g - -14. Let c = m + -34. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 36*q + 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*t + 30*t - 26 - 205 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -412, -473, -390, -127, 352?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 580 - 4*d - 116 - d**3 + 7*d**2 - 7*d**2 to the form m*d**2 + h*d + x*d**3 + l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1019285 divided by -203857\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -21*n**2 + 11*n + 45. Let o(k) = -5*k**2 + 3*k + 11. Let b(c) = -6*j(c) + 26*o(c). Factor b(m).\nAnswer: -4*(m - 4)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 541 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 687388 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -388 - -364 - (-38 + 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -6 (c) -14.8 (d) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24058, 23969, 23880, 23791, 23702?\n\"Answer: -89*i + 24147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190 + 185. Let r = -1 - 4. Let m(n) = -3*n**2 - 2*n. Let t(y) = 7*y**2 + 3*y. Let i(s) = r*m(s) - 2*t(s). What is i(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = 5*b, 6*b + 2 = 7*b - 4*w. What is the third derivative of -657 - b*l**4 + 2*l**4 - l**5 - l**2 + 654 - 3*l**4 wrt l?\nAnswer: -60*l**2 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/142704 and 79\/832440.\nAnswer: 4994640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-42)*7\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4139 + 4138 + 16*t**2 + 4033 - 12310.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 146 = -2*y - 2*a, y - 85 = 2*a. Suppose 3*w = -3*h + 2*w + y, 3*w + 19 = h. Let o = 32 - h. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (102\/8)\/(3\/16). Let p(j) = j**2 - 4*j + 5. Let v be p(4). Suppose -3*q - k = -v*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 0. Suppose -s - 41 = -39. Let q(l) = -3*l**3 - 5*l**2 - 2*l - 3. Let t be q(s). Which is the second smallest value? (a) y (b) 3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -281*l**3 + 2*l**2 + 12*l + 10. What is n(-1)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (146 - 69 - 58) + 41\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-5)\/((-10)\/(-4)). Suppose 5*w + 0*w - 25 = f. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u - 3*v + 16 = 0, -v + 20 = 4*u. Solve 0 = -5*b + 9 - u, -4*b = 5*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111111101001101010 (base 2) to base 6.\nAnswer: -132053402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 + 6*j + 7. Let g = -2 - 3. Suppose 236*h - 144 = 228*h. Let k(i) = -2*i**2 - 5 + h*i - 8*i**2 + 4*i**2 - 22*i. Give g*u(c) - 7*k(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 270, 406?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 300*l**2 - 30845*l - 89700.\nAnswer: 5*(l - 115)*(l + 3)*(l + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2645, -4947, -7249?\nAnswer: -9551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-1844.\nAnswer: 368.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1018, -3\/7?\nAnswer: -1018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4\/5))**(-1\/43))**25)**30 assuming y is positive.\nAnswer: y**(600\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 10*m - 18. Let x be g(-12). Let w(v) = 2*v - 22. Let q be w(x). Let o be (-6)\/q + (-66)\/(-15). Sort o, -15, -5.\nAnswer: -15, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-54)\/(-270))\/(2\/10). Suppose -4*f - 2*q = -3*f - 13, 5*f - 25 = -2*q. Solve -2*y + 14 = -3*i, 0 = f*y + o - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201222 - -200?\nAnswer: 2202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3227463.9 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by 127904\nAnswer: -7\/4568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76\/15 + 22\/5. Let z(c) = -23*c + 21 + 20 + 21*c. Let n be z(18). What is the nearest to v in -2, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.398503 to one dp.\nAnswer: -111.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*0\/(5\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvnw when four letters picked without replacement from vnwlwvknvvunkvkvwvl?\nAnswer: 7\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7000, -3, 4, 2, -79.\nAnswer: -7000, -79, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 20*h**2. Let j(g) = -1. Let d(a) = 2*a + 5. Let y(c) = -d(c) - 5*j(c). What is r(y(s))?\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/6 + 4*4\/(-48). Let a = 0 + k. Let c(j) = j**3 + 7*j**2 + 2*j + 3. Calculate c(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11925 and 5247?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/(o*(((o\/(o*o\/(o\/(o\/o**(-9)))))\/o)\/o)\/o*o))*o)\/o*(o**(1\/7)*o)\/o)\/(o*o**4\/o)**(-18) assuming o is positive.\nAnswer: o**(435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hryhp. What is prob of sequence yr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4348 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3159) + sqrt(3159)*1 - sqrt(3159))\/sqrt(3) + 1*-2*sqrt(1872))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + 3 + (sqrt(300) + -1 + sqrt(300) + sqrt(300) + 5)*-1))**2.\nAnswer: 480*sqrt(3) + 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2. Let o(i) = -2*i**2 - 249. Determine o(s(c)).\nAnswer: -8*c**4 - 249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -153, -230, -307, -384, -461?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = l + 7 + 2, 3*f - 2*l = 16. Suppose -f*y = -4*x + 48, 0 = -3*x + 4*y + 31 - 5. Calculate the highest common divisor of 98 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2047 + 687 - w - 355*w**2 + 679 + 681 as a + z*w**2 + r*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1218)\/(-5481))\/(-1*5\/(-270)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 2, 7 in increasing order.\nAnswer: -3, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1 + -1*-1*sqrt(252))**2 + 4)*2.\nAnswer: -24*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1. Let m(h) = -8*h - 1. Let s(l) = -6*b(l) - m(l). Suppose 6*u - 11 = 25. Is 17 a factor of s(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from {k: 5, o: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(832) + -1 + 1 + (2*sqrt(52) - 1*5*sqrt(13))**2.\nAnswer: 17 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447949, -895835, -1343721?\nAnswer: -1791607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -286318308 or -286318301?\nAnswer: -286318308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219 and 7389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, g: 2, k: 1, j: 1, o: 5}. Give prob of picking 2 l and 1 g.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/5 and 77\/2781158.\nAnswer: 13905790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2634.603\nAnswer: 5269.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220\/6 + 3\/9?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.1 (c) 452 (d) 0.4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3082*i - 7892*i - 1 - 6943*i.\nAnswer: -11753*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcjppjpjjpjjpjp. What is prob of sequence cjc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4 - 1111*p**2 + 10*p + 19 wrt p?\nAnswer: 24*p**2 - 2222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3908, -3904, -3822, -3620, -3256?\n\"Answer: 7*x**3 - 3*x**2 - 36*x - 3876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 94, -0.3537, 1\/3?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5907)\/(-121) + 8\/11*1\/4. Solve -16*h = -47 - o for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2320)\/2262 + (-2)\/(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c - 26055 - 12550 = 0. Let b = c - -1640. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545224 and 10982?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.38, -1\/2, 0.4, 1\/3 in increasing order.\nAnswer: -1\/2, 1\/3, 0.38, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**3 - 3*h**2 + 3*h + 23. Let o(g) = g**3 + g**2 - g - 8. Let l(p) = 17*o(p) + 6*q(p). Let w(m) = m**2 + 5*m. Let i be w(-5). Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 27363426*u. Let a(n) = -8*n. What is a(z(s))?\nAnswer: -218907408*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 2. Let s be c\/8 - (-10)\/8. What is the lowest common multiple of 9 and 0\/3 + 5 - s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51778671.\nAnswer: 3, 7, 2465651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -87*n - 587. Let w be m(-7). Let j = -54 + 109. What is the highest common factor of w and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 32*g**2 - 35*g - 3. Let h = 322 + -339. Calculate the remainder when 23 is divided by o(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5305474.\nAnswer: 2, 2652737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/31)*a)**(1\/3)\/(a\/(a**(2\/7)*a)*a*a\/(a*a\/(a\/(a\/(a\/(a*a\/((a*a\/(a*a*a**(-21)))\/a))))))*a*a))**(1\/2) assuming a is positive.\nAnswer: a**(-6641\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10326013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809152100.\nAnswer: 2, 3, 5, 7, 287167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = -5*q, 4*n + 7*q = 2*q + 34. Suppose 2*a + 4 = -2*d, 5*a - 2*a - 3*d = -n. What is the remainder when a\/((-6)\/(-3)) + 29 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2503 (base 13) in base 5?\nAnswer: -131432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/47600 and -19\/952.\nAnswer: 47600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 585 and 135?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 330445 - 5?\nAnswer: 330440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.99505mg to grams.\nAnswer: 0.07899505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.4, -0.4, 4, 0.3 in decreasing order.\nAnswer: 4, 0.4, 0.3, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483275 and 650.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z, 21*z - 18*z - 219 = 2*k. Is -102 not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 875 * 215158\nAnswer: 188263250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:55 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5452 - 5452.01. Let v = -1585\/91 + 123\/7. Let k = -191 - -1335\/7. Which is the smallest value? (a) i (b) v (c) k (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283480340743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + s + 17 = 0, -s = -10*a + 6*a + 13. Sort 1, -1, -4, a in increasing order.\nAnswer: -4, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-216)\/(-63)) + 7. Which is the smallest value? (a) 2 (b) -1\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 14*h - 2. Let j be f(-14). Let i be ((-1)\/j)\/(20\/8). Suppose 3*n - 3 = -12. Which is the nearest to 0.2? (a) i (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1828694400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 151 - 32?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4327 + -4369.06. What is w rounded to zero dps?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90408660 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*j**2 + 64*j**2 + 64*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*h = -h + 4, -h = -4*z - 1. Let o(r) be the third derivative of r**6\/120 - r**5\/60 - r**4\/24 - r**3\/2 - r**2. Calculate o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4166.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 15*f - 4. Let j(w) = 185*w + 2*w**2 + 278 - 280 - 192*w. Suppose 7*z - 2*z = 65. Let m(p) = z*j(p) - 6*g(p). What is m(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114557378 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (2*3)\/(-45*(-31)\/930)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2 - 7*z + 2. Let s(a) = -21*a**2 - 20*a + 5. Calculate -8*q(u) + 3*s(u).\nAnswer: -7*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 768016697 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = 2*t, -2*t - 1 = -2*j + 3. Let k(l) be the first derivative of -2*l + 0*l**3 + 0*l**2 - j - 1\/2*l**4. Differentiate k(s) with respect to s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6 - 7*g**3 - g**2 + 2*g**2 + g**2. Let k(r) be the third derivative of -r**6\/15 + r**5\/30 - 7*r**3\/6 - 6652*r**2. What is 5*k(h) - 6*n(h)?\nAnswer: 2*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -23, 1422 in decreasing order.\nAnswer: 1422, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/3 + 254*i\/3 - 780 = 0. What is i?\nAnswer: 10, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(-525)*(-1)\/(20\/(-4)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 7. Let d(t) = -5*t**2 + 4*t - 24. Suppose 5*u = 27 - 2. Let z be d(u). Let i = z - -134. Calculate m(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = -4*v + 335, 5*v = g - 380. Let d be 30\/(-1*6\/16*-1). Suppose d - g = -5*i. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*v - 11*v**2 - 65*v + 17*v - 1 + 22*v to z*v + p + u*v**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4 + 6 - 2 - 2*s**2. Let f(h) = 8*h**2. Determine l(f(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110014 - -121?\nAnswer: -104343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 130, 296, 560, 946, 1478, 2180, 3076?\n\"Answer: 4*w**3 + 13*w**2 + 25*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 902\/3495 + 2\/233. Let t = b + 1\/15. Factor t*x**2 - 1\/3*x**4 + 0 - 1\/3*x**3 + 1\/3*x.\nAnswer: -x*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.04 (b) 0.2 (c) -28 (d) 0.008 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1098850, 1098846, 1098842, 1098838, 1098834, 1098830?\nAnswer: 1098826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3696, 10413, 17130, 23847, 30564?\n\"Answer: 6717*h - 3021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 8978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.7462 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.065 + 0.025. Let x = -3.06 + o. Let z = x + 3.5. What is the third smallest value in -1, -2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1857937 and 951.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3759 and 3633?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.015 - 0.015. Which is the closest to 1? (a) 10 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 665 - 464. Suppose 4*g + 144 = -2*s, -2*s + 4*g = 197 - 13. Let w = s + d. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**3\/3 - 9*g**2\/2 + 5*g + 13. Suppose -90*x = 25*x - 2*x - 1017. Give z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/4884*253\/(-92).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -2*y + 45. Does 16 divide 18 + 3\/(y\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 16) to base 12.\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11696982 is divided by 58?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 10*p**2 + p + 12. Let o be u(-10). Let k(y) = -5*y**2 + 5*y**2 - o*y**2. Let g(i) = 20*i. Calculate k(g(f)).\nAnswer: -800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 3. Suppose -632*u + w = -633*u. Which is the second smallest value? (a) 1\/5 (b) u (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -2f?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 7. Let u be o(-5). Let h(f) = -f**2 + 6*f - 15. Let s be h(4). Let d be (-240)\/(-56) - (-2)\/s. Solve -y = -u*y + d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = l - 834, -2*q + 673 = -2*l + 2301. Suppose -11*m + l = -9*m + 3*o, -4*o - 12 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**(-40)\/((y*y*y**(2\/21))\/(y*y**(3\/8))) assuming y is positive.\nAnswer: y**(40199\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18381?\nAnswer: 3, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13 or -15960?\nAnswer: -15960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043321 rounded to seven decimal places?\nAnswer: -0.0000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + -7851127246?\nAnswer: -7851127246.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -9583*n - 38332. Let s be c(-4). Factor 1\/11*r**2 - 8\/11*r + s.\nAnswer: r*(r - 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvrvrlrpnlrrj. What is prob of sequence lnl?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2569501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340242 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155270235 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10139387 divided by 6\nAnswer: 10139387\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 + -66.\nAnswer: -73.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715050 is divided by 28602.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/6 - 10\/60) + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 14. Suppose 4*f - 1 = 11. Suppose f = -b - 6. What are the prime factors of t(b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.09, -3.\nAnswer: -6, -3, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 34*f = 290. Let n be 130\/(-26)*(-6)\/f. Let q be (17\/(-3))\/(2\/(-6)). Solve 0 = -t - 3*t - n*r - q, 0 = -3*t + r - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11297 divided by -42?\nAnswer: 11297\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1842?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3429 + 3432. Solve -2*a = 2*u - 4, -v*u + 3*a - a + 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, o: 1, f: 4, g: 2, p: 1}. Give prob of picking 2 g and 1 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8 = 4*f + 4*u, 0 = 2*f - 5*u - 4. Solve 0 = -f*s - 0*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 6*l**5 + 324*l**4\/11 + 168*l**3\/11 - 612*l**2\/11 + 54*l\/11 = 0.\nAnswer: -3, 0, 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15386 + 0.05386. Let a be 1\/28 + (-27)\/21 + 1. What is the smallest value in 2\/9, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2. Let o(j) = -1677*j**2 + 2. Give o(y(h)).\nAnswer: -26832*h**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 380, 382, 384, 386, 388?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -1234, -0.03 in descending order.\nAnswer: -0.01, -0.03, -1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 11*u - 15. Let h(f) = 3*f**2 - 27*f + 28. Give -2*h(q) - 5*n(q).\nAnswer: -q**2 - q + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.1 - 0.1. Let d = 15.12 - 0.12. Let y = f - d. What is the second smallest value in 2, y, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**3 + 5*c**2 + 7*c - 1. Let j(t) = -7*t**3 + 4*t**2 + 6*t - 1. Let l(f) = 4*b(f) - 5*j(f). What are the prime factors of l(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.4 (b) 0.23 (c) -0.0362 (d) -1 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09030194 to 4 dps.\nAnswer: -0.0903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 p when four letters picked without replacement from opppwoppw.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7132128748?\nAnswer: 2, 883, 2019289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18810685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1075520.95 * 12.\nAnswer: 12906251.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. Suppose t*a - 24 = 12. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 16 = 4*x, -22*v + 24*v + 3*x = -17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c140 + -612?\nAnswer: -6c752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.21 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7019662 weeks in milliseconds?\nAnswer: 424549157.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22504542 (base 6) to base 5.\nAnswer: 134140014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from {d: 1, a: 2, c: 1, j: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 394 = 32*a, -37*j - 4*a + 29 = -38*j - 37 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (462\/(-924))\/(((-9)\/(-24))\/((-207)\/12))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8722 + e?\nAnswer: -8714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 7\/261 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*p - 52 = 0, 252*p - 273*p = -3*i + 273 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11+-1090.5\nAnswer: -1079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:28 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105.759 + -0.241. Let n = 97 + i. What is the closest to -1 in n, -4\/7, 0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, h: 4}. What is prob of picking 3 h?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 44.397 from -3.\nAnswer: -47.397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g\/(g*g*g**(-21))*g)**(-1\/9)\/(g**(-20)\/g**(-34)) assuming g is positive.\nAnswer: g**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/5 + 9\/5*d**2 + 1\/5*d**4 + 119\/5*d - 11\/5*d**3.\nAnswer: (d - 7)**2*(d + 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 28 - -18) + -15 + 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - f - 1137, -4*q = 2*f + 600 + 306. Let a be 44\/36 - (q\/(-54) + -4). Put -2, a, 25, 4 in decreasing order.\nAnswer: 25, 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175.33056 - -17\nAnswer: 192.33056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -280503436*c**4 - 1046615*c**2 - 97*c wrt c?\nAnswer: -6732082464*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/103755990 and -109\/207511980.\nAnswer: 207511980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 23973773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0*v**3 + 0 - 1\/20*v**5 + 0*v**4 - 25*v**2 + 0*v. Let x(s) = 3*s**2. Calculate h(x(o)).\nAnswer: -27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100001001010010100001 + 10?\nAnswer: -110100001001010010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2104 in -2, -6805\/2, 5?\nAnswer: -6805\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/8*6\/30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 7*n - 23. Let k be b(-6). Let c be 0 + -1*1 + 12. What is the greatest common factor of k and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 4*x**2 + 16*x - 5. Let r be (-2)\/(-5*(-2)\/10) + -7. What are the prime factors of d(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - 31*h + 88 = 0. Suppose 0 = -4*r + 5*t + 20, 3*r + 3*t + 10 = 5*r. Calculate the remainder when h is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 17. Let g = -2.97 + -0.03. Let o = g - n. Which is bigger: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/17 in -1\/6, -5, -0.2, -0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8122 divided by -62.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 17 = 5*d, 0*d + 3*b + 19 = 4*d. Suppose 4*s + h = -311, 3*s + 240 = h - d*h. Does -77 = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*u - 18*u**2 + 37*u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.87 - -1.1. Let q = -0.32 + k. Which is the closest to q? (a) -1 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(0 - 1) - 2. Suppose 0*n + n = -2. Sort 0, n, r in ascending order.\nAnswer: r, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**4\/4 + 6*c**3 + 5*c**2\/2 + 41*c + 39. What is the hundreds digit of v(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -164346?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000180339 rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/12 - 2*n**3\/3 - 2*n - 5. Let s(w) be the first derivative of k(w). Give s(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*u - 13, -u - 7 = 4*o + 4*u. Factor -z**3 + z**2 + z**3 - 3*z**o + 1 + z**4.\nAnswer: (z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - 701457146?\nAnswer: -701457157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 3*h**2 - 6*h - 6. Let p be f(-4). Suppose -i - p = o - 9, 2*o = 4*i - 4. Suppose 3*w = -j + 584, 0 = -j - o*j + 4*w + 2939. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10380697 and -41\/71.\nAnswer: 10380697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.07, -10, 0.02, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21)*r*r*r**(4\/7)*r)\/(r\/r**(-4)*r*r**(2\/15)) assuming r is positive.\nAnswer: r**(-93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n\/(n\/(n\/n**(-2\/33))))\/n)\/((n\/n**(5\/2))\/n) assuming n is positive.\nAnswer: n**(301\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 13 = -3. Suppose 97*p**l + 610*p**3 + 8 + 917*p**2 + 512*p**3 + 1075*p**3 + 156*p = 0. Calculate p.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58944*f**2 + 67465?\nAnswer: -117888*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*7\/(-140) + 54566\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11614873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -23701?\nAnswer: 23687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3801*v**2 - 4. Let i(h) = 13*h. Determine z(i(d)).\nAnswer: 642369*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 + 4*a - 2. Let f be b(-4). Let p be f\/(0 + 2) + 29. What is the units digit of p - (-2 + (-4)\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*j = -1898, -3*s - s + 1914 = 5*j. Let f = s + -248. Suppose -3*t + f = t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpl when three letters picked without replacement from cutlcpdpd.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/150*a**5 + a**2 + 4*a + 0 - 1\/10*a**4 + 3\/5*a**3. Let q(y) be the first derivative of d(y). Solve q(t) = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 11 = 3*z - c, 18 = 4*z - 2*c. Let a = 178 - z. Suppose -458 = -3*v - a. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10103 + -24205402?\nAnswer: -24215505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 13*y**3\/2 + 42*y. Let f(j) = -2*j**2. Give f(i(z)).\nAnswer: -3042*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 1 g when three letters picked without replacement from {m: 3, e: 2, n: 1, g: 4, y: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by 12\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-168)\/(-78) + (-2)\/13. Solve -2*s**3 + 0*s - 4\/5*s**4 + 0 + j*s**5 + 4\/5*s**2 = 0 for s.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.7 (b) -4.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -42*l + 1305. Let n be b(32). Suppose -s + 41 = -2*s. Is n less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/3)\/((-10)\/15). Let g be (12\/(-16))\/(b\/8). Let l = -1 - 2. Is g at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 3. Let k be y(0). Sort 7, 2, k, 0 in decreasing order.\nAnswer: 7, k, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68675 = 853*k + 2195*k - 73201 + 327614 for k.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 158\/64287 or -17?\nAnswer: 158\/64287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -5.2. Suppose 7*g + 2*g = -36. Let j be -1*((-3 - g) + -3 + 6). Put 4, 1\/2, r, j in descending order.\nAnswer: 4, 1\/2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/12 + i**3 - 13*i**2\/2 - 6055*i. Determine h(-9).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2 + 12*z + 27 - 2*z - 5*z. Is q(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6984, 55778, 188214, 446112, 871292, 1505574?\nAnswer: 2390778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3, -0.029, 1019?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 12*n.\nAnswer: -2*n*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 600 divided by 15\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 98 = 2*v, 4*q - 5*v + 83 = 8*q. Let p be (-4)\/((-1)\/q*2). Let z = 84 - p. Calculate the lowest common multiple of z and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 14727 (c) -1\/6 (d) -2\/13 (e) -0.4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8*a = -4*q + 20, q + 6 = -2*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 7. Let t be 2*2*(-42)\/(-12). Let l = t + -10. Let s(k) = -13 + k - k + 0*k - l*k**3. Determine 11*f(b) + 6*s(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/5 + 8\/(-20). Suppose f + 4*z - 24 = 0, 0 = -2*f + 5*z - 9 - 8. What is the units digit of -10*(c\/f - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/9 - 1997*v**2\/3 - 128535*v - 6308577.\nAnswer: -(v + 99)**2*(v + 5793)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (1104\/(-21))\/16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, p: 3}. Give prob of picking 1 d and 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/29, 2\/9, -22, -2, 2\/23?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msxw when four letters picked without replacement from {w: 8, s: 4, m: 3, x: 2}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 850 by 90.\nAnswer: 85\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 <= 229\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 - 184\/(-44). Suppose -2*c + h*f = 1356, -4*f = c + 3*c + 2712. What is the units digit of c\/(-14) - 15\/35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.065 rounded to 1 decimal place?\nAnswer: 18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4, 3*d - q = -d + 12. Suppose 0 = 4*a - y, 0 = d*a - 0*a + 4*y. Suppose a = -4*i + 5 + 39. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1115 divide 10232355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59450125 and 6125?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/2871*-15)\/((-20)\/(-45)*-1).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 371 + 42 = 31 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 529, 544, 567, 598, 637, 684, 739?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5 and -41\/1890.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 2 - (-8 - 19)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307620563 plus -1641?\nAnswer: 1307618922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51035 + -51033. Let 16\/9 - 68\/9*q - c*q**2 = 0. Calculate q.\nAnswer: -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1 - 1 + 5*l**2 - 2*l + 3. Let x be r(1). Suppose 0*i - 2*i = -y - 15, y = -5. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33679, -33546, -33427, -33328, -33255, -33214, -33211?\nAnswer: -33252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2990*o + 403655. What is m(135)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3844893.6 times 5?\nAnswer: 19224468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -556416*1.\nAnswer: -556416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39.42 + 115407.\nAnswer: 115367.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 24.68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/171 and 53\/33.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + 1 + -3*sqrt(242) + (-1*sqrt(242) - sqrt(242))*5)*4)**2.\nAnswer: -4576*sqrt(2) + 654384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7 - 5. Let q be (-5770)\/70 + (-6)\/(-14). Let h = q - -89. What is the lowest common multiple of m and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 19. Suppose -s = u - 17. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*u - 8. Let x be u - (-1 + 2 - 0). Suppose -3*t + 5*p + 5 = 0, 5*t + 2*p = -3*p - x. Solve 4*y + k - 19 = t, 5*y - 7 = -2*k + 16 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 0*x - 12*x = 8*b - 344, 2*x - 38 = -3*b + 56 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 5*q + 508 - 967 + 498, 0 = -0*q - q + m - 13 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-2 + (4\/32 - (-1336)\/64)). What is the nearest to 2\/7 in -3, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, f: 5, l: 7}. Give prob of picking 4 f.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/4042 and 47\/11.\nAnswer: 44462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**6\/30 - 13*x**5\/60 - 5*x**4\/18 + 597*x. Factor k(d).\nAnswer: d**2*(d - 5)*(3*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-10) + ((-4664)\/(-14))\/((-2450)\/(-1715)). Calculate the greatest common divisor of w and 426.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3372, 2852, 28 in increasing order.\nAnswer: 28, 2852, 3372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 15 - 13 + 2*s)*((1 + 0 - 2)*(-5*s + 3*s + 0*s) - 2*s - 2*s + 3*s + 0*s - 2*s + 3*s)*(-3 + 1 + 0).\nAnswer: -8*s**2 + 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3441 - 3441 + 3*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**5\/20 - 7*s**4\/8 - 5*s**3 - 3*s**2\/2 + 28*s. Let p(y) be the first derivative of r(y). Factor p(d).\nAnswer: -3*(d + 2)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1842728 by 59.\nAnswer: 1842728\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*(t\/((t\/t**(2\/11))\/t))\/t*t))\/t)**(-31)*t*(t\/t**9*t)\/t*t*t*t*t**(-3\/8) assuming t is positive.\nAnswer: t**(5567\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*f, -z - 4 = -2*z + 5*f. Suppose 0*c - 3*c = 4*h + 47, 4*c + 31 = h. Let j = c + z. Solve j = -4*a, -4*t = 4*a - a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 67, 147, 257, 397?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 102102?\nAnswer: 102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*o = 8, v = 4*o + 1 - 7. Suppose 0 = v*i + 3*i - 60. What is the remainder when 46 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271630579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 10 + 20)*(-2*x + 3*x + x) - 4*x + 3*x + 2*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -480739, -480748, -480763, -480784, -480811, -480844?\n\"Answer: -3*u**2 - 480736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3780*a = -3587*a - 3474 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + k + 2. Let a(p) be the third derivative of 4*p**5\/15 + p**4\/6 + 7*p**3\/6 + 2*p**2 - 1. What is -2*a(f) + 7*r(f)?\nAnswer: 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - u + 2. Let w(k) = k**2 + k - 1. Let s(h) = w(h) + x(h). Let g(f) = 10*f**2 + f + 4. What is 2*g(b) - 7*s(b)?\nAnswer: -b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -4767?\nAnswer: 3336.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 7*p - 3*p - 24*p.\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.534 - 1.534. Let s be 4\/3*6\/44. Which is the closest to 0? (a) s (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11454\/7 + -1636. What is the closest to j in 2, 0.3, 0, -8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 806292, 3225233, 7256822, 12901059, 20157944, 29027477, 39509658?\n\"Answer: 806324*y**2 - 31*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17.8 and -0.1?\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1763\/312 - -45\/8. Suppose 4 = 7*l - 3*l. Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g - 8. Let r be z(-4). Suppose u - 3 = 0, f - 6*f - 4*u + 22 = 0. Let w(o) = o**3 + 6*o**2 + 4. Let d be w(-6). Solve d = -f*y - r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 78636, 79019, 79402, 79785, 80168?\n\"Answer: 383*l + 78253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j + 2*j, -3*j = v - 2. Let u(m) = -137*m - 80. Let f be u(v). Calculate the highest common factor of 52 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:19 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 h when four letters picked without replacement from htvvhhtvvtt.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*n = -3*r + 22, 0 = -2*n. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/47*((-1496)\/(-55))\/136?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**7)**(2\/47))**(-3) assuming y is positive.\nAnswer: y**(-42\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 8:37 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(4\/5)*n**(-13)*n\/(n\/(n\/n**18))*n**(-36))**1 assuming n is positive.\nAnswer: n**(-321\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -134*g**2 - 3*g + 4. Let h(s) = 6*s**2 + 1. Give 2*h(d) - j(d).\nAnswer: 146*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 9:24 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/3)*290\/87\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24441939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b - 15*b**4 + 51*b**4 + b**2 - 2*b**3 - 28*b**4 wrt b.\nAnswer: 192*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 31*h + 153 = 0. Suppose 0 = 3*k - 15 - 12. Calculate the greatest common divisor of k and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/7)\/h*h*h**(-9)\/h*h)\/(h**6*h*h**(-19)) assuming h is positive.\nAnswer: h**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -806812 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29b + -266?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3737*u - 128*u**4 - 3737*u + u**4 - 6*u**4 - 2*u**4 + (0*u + 0*u - u**3)*(u - 2*u + 3*u).\nAnswer: -137*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 34*q = -4*z + 9648, -2*z = -7*q - 4851. Calculate the greatest common divisor of 230 and z.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14957801269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123 and (-4308)\/(-15) + (-5)\/25.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 - 8 + 9 - 76*o**3.\nAnswer: -53*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(((-9)\/(-6))\/(-3))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 26*a + 6. Let f be b(6). Let i(h) = h**2 - 28*h - 29. Let t be i(-1). Suppose -5*n + n + 4*c + 216 = t, 3*n + c = f. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9750 divided by -10?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 + 6*w - 2. Let g(k) = 16*k**2 + 13*k - 6. Let f(o) = -2*g(o) + 5*v(o). Let d(y) = -4*y**2 - 5*y - 3. Give 2*d(h) + 3*f(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 723294 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 2, y: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-10) + 0)\/(18\/8). Let q = -27 - -28. What is the closest to -2\/3 in g, q, 1\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 639*n**3 - 444*n**2 - 201*n + 6.\nAnswer: 3*(n - 1)*(3*n + 1)*(71*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 87 - 112 = 7*f + 971 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfuvvumuvvuluuvullv. What is prob of picking 1 f, 1 u, and 2 l?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 1:41 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 3*b**3 - 186*b - 3 + 186*b in the form j + g*b**2 + f*b**3 + t*b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -5, -2, 1, 4?\n\"Answer: 3*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332892, -665502, -997832, -1329882, -1661652, -1993142, -2324352?\nAnswer: -2655282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 1 - 1 - 2*w**2 + 2*w**2 - w**2 - w**2 + w**2 + w**2 + (1 - 1 - 2*w)*(-2*w - 1 + 1) - w**2 + 3*w**2 + 0*w**2 + (-5*w - 2*w + 5*w)*(-w - 1 + 1).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/20 and -103\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 3*r. Suppose 0 = 2*a - 4*k, 5*a - 3*k + 17 = 3. Put -2, r, a in descending order.\nAnswer: r, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -60\/77?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*k**2 + 11 + 12*k**3 - 7*k**2 - k**2 wrt k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1763550 divided by -1.\nAnswer: -1763550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.012 - 8. Let g = s + 2.988. Which is the smallest value? (a) -0.2 (b) -9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1385034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/1777 - 193801\/21324. Calculate the common denominator of -73\/58 and x.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 151405*p**4 + 0*p**2 + 4*p**3 + 151403*p**4 - 5*p**3 - 3*p**2 + 4*p**2 + 39*p to k*p + w*p**2 + i + m*p**4 + q*p**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3 - 9. Suppose 0*a - 2*a = 0. Solve y - 4*b + d = a, -2*y - b - 9 = -3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 23*k - 32. What is f(24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 46. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*d - 4621 = -59*d - 452 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(-1710*x + 554*x - 1149*x) + 4*x - 3*x - 4*x.\nAnswer: 2302*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-336)\/(-210))\/(3\/3300)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 356, -4, 3, 7, 0 in descending order.\nAnswer: 356, 7, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, z: 2, b: 2, t: 1, y: 1}. Give prob of picking 2 z and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -117 and 0.174496.\nAnswer: -116.825504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(2\/(-363)*-22)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 + 9*h. Let n be 2\/(-5) - 54\/(-10). Let d be (n\/(-4))\/((-3)\/(-12)). Let j(i) = 2*i**2 - 5*i. Determine d*j(l) - 3*v(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 + 8*u - 5. Let c be n(7). Let s be 36\/4*c\/2. Solve 3*o + 6 = -3*a + 15, o = 3*a - s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) - (-59367)\/(-301785). Let i = w - -177353\/18290. Calculate the common denominator of -50\/7 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112221310 (base 4) to base 5\nAnswer: 10432123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 517*j - 575*j - 602 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 977 + -953. Suppose 0 = 4*c - 2*k - 880, -y*c + 25*c + 5*k = 242. Calculate the remainder when c is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*s**2 + 18*s - 16*s**2 - 8 - 17*s + 3*s**2 wrt s?\nAnswer: -44*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, n: 1, m: 4, v: 6}. What is prob of sequence llvm?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (6 - (-217)\/(-35))*-5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 4) in base 8?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/5 and -119\/1962?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 - -342. Which is the smallest value? (a) 2 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6104, -6102, -6098, -6092, -6084, -6074, -6062?\nAnswer: -6048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3385, 3366, 3347, 3328, 3309?\n\"Answer: -19*w + 3404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 10, -u + 4 + 2 = x. Let f(w) = w**2 - w. Let i(o) = 3*o**2 - 3*o - 2. What is u*i(a) - 4*f(a)?\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pepe when four letters picked without replacement from {p: 5, e: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (936\/(-416))\/((-3)\/(-8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -7*m + 28. Let a(n) be the second derivative of m*n**2 - 3\/4*n**4 + 0 - 1\/3*n**3 - n. Find x such that a(x) = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 - (-225)\/81. Suppose -3*n + 66 = o*h, 93 = 4*h + 8*n - 3*n. Solve 5*l = 3*w + 14, 5*l - 5*w - h - 3 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11820 divided by 5?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*4\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7716623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5966150 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - z - 7*z)*(143*z + 1241*z + 224*z) as g + t*z + p*z**2 and give p.\nAnswer: -6432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 + 4*m**2 - 4*m + 3. Suppose 2*r - 7 = -3. Suppose 8 = 2*q + r*q. Determine u(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -57. What is the common denominator of 3\/h*(-824)\/(-18) and 2\/(-6) + (-2)\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -4, -0.12, -2, -3, 5\/2, 0.321?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 83072 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 - 12648*k**4 - 10061268*k**3 - 99615808*k**2 - 208637184*k = 0 for k.\nAnswer: -1576, -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 292473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 5, -22, 4, 49, 3 in ascending order.\nAnswer: -56, -22, 3, 4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42186 or 42098?\nAnswer: 42186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, h: 12}. Give prob of sequence hhhg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11100022021 (base 4) to base 12\nAnswer: -5649a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(77)*-3 + (sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77))))*6)\/((sqrt(84)\/sqrt(3))\/sqrt(4) - sqrt(252)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*f - 23 = 0, -4610*a + 4605*a - 5*f + 40 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81101021 divided by 6499.\nAnswer: 12479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*4*5)*-2)\/(2*sqrt(640)*6).\nAnswer: -7*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 13 = -3. Let z be (-1 + 10\/w)*3. Solve 0*u + z = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = 19. Let i be 5\/(-5) + 0\/(-7). Calculate the remainder when ((-27)\/5)\/(i - 12\/(-15)) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8805 is divided by 232?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = v - 5*v - 4, 2*a - 4*v + 36 = 0. Let m be (2\/8)\/((-21)\/(-420)). Let x(f) = 7 + f**2 + m*f - 8*f + 6*f + 5*f. What is x(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Calculate the lowest common multiple of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -230 + 73 + 164?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -378.6 - -378.7753. What is r rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**10\/f))**(-34)*(f**(3\/10)\/f*f*f)**(1\/40) assuming f is positive.\nAnswer: f**(108813\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*3*2*sqrt(12) + -5)*4 + -1)**2 + 3.\nAnswer: 87840*sqrt(3) + 1558924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16206 = -10*a + 68914. Round a to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6269623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -19 (b) 1 (c) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 110, 103, 96, 89, 82, 75?\n\"Answer: -7*p + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 196125 a multiple of 523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x + 1. Let c be g(-1). Let k = -34 - -36. Suppose -3*d + 16 = 2*u, -8 = k*u - 4*u - d. Calculate the highest common factor of c and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 6124 = -5*o. Suppose 41*r - o = 39*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 - 3)*(-2*b**2 + 0*b**2 + b**2) + 0*b**2 - 3*b**2 + b**2 + (-2*b**2 + b**2 - b**2)*(0 - 2 + 0) to the form o*b**2 + v + t*b and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (36 - (-10 + 36))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 6:54 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w**2. Let b(m) = 5*m + 530. Give k(b(s)).\nAnswer: 275*s**2 + 58300*s + 3089900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 5*f**3 + 9*f**3 + 2*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 57, 85, 113?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 118\/35, 3 in ascending order.\nAnswer: -1, 3, 118\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2. Suppose -6*k + 14 = -b - 2*k, 2*k = 3*b + 2. Let v(n) = -2*n**b - n - n**2 + n. Determine g(v(r)).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726 and 59169.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -10212?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-806.\nAnswer: -177.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 14028*r**2 + 1121856*r\/5 + 4486912\/5.\nAnswer: 2*(r + 8)**2*(r + 35054)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-92) + 13286\/10465)*-10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 5) + (0 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*t, -2*g + 7*t = 12*t + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 + s**4\/3 - s**3\/6 - 2*s. Let w be l(-4). Suppose w*i = 8*i - 9*i. Is i at most as big as -6\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 - 40 = -8*w. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114*c + 150*c - 46*c)*(6*c - 6*c + c**3)*(3 + 3 - 7).\nAnswer: -218*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0 + 6. Suppose -3*r + 98 = -2*a, 0*r - 108 = -4*r - d*a. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009675 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 5*l + 33. Let i be (-48)\/l + 4\/(-10). Suppose -10 = -4*k - 4*g + 6, 8 = k + 2*g. Solve k = i*f - 5*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401023 (base 5) to base 2.\nAnswer: -11000101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -18. Let k = -14 + q. Let j be 4\/8*4\/(-5). Which is the nearest to j? (a) 1\/2 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 24*z**2 - z + 25. Let g be u(24). Calculate the least common multiple of 8 and (2\/(-8))\/(77\/(-76) + g).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 6, -103, -254, -447, -682, -959?\nAnswer: -1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 114\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -318*p + 323*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - ((53 - 142) + 41).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide -183483 by -29.\nAnswer: 6327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3 - 8798457*a**2 + 6451083662736*a - 19353171802176 = 0?\nAnswer: 3, 1466408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t = 4*t. Suppose -5*y = -3 + 23. Let a be (y\/6)\/((-2)\/3). Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -2926.\nAnswer: -2925.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 1. Let z(s) = 11*s - 13. Let x(h) = 6*h - 7. Let u(q) = -5*x(q) + 3*z(q). Let n(l) = 4*d(l) - u(l). Let y(w) = -23*w. Calculate y(n(c)).\nAnswer: -23*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131870?\nAnswer: 2, 5, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1028 - -4996. Let s = g + -1749. Let t = 11137\/5 - s. Find the common denominator of t and -49\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*s + 1)*(2*s - 7 + 7) + 134*s**2 + 152*s**2 - 15*s**2 to i*s + q + n*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w. Let t = 2 + w. Suppose 5*x = t*s - 0*x - 81, -2*x = 3*s - 112. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/(179\/(-537)). Sort l, 18, 5.\nAnswer: l, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 7379*q**3 + 7377*q**3 + q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 4, -4, 1 in decreasing order.\nAnswer: 4, 2, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.36 + 2.3. Which is the second biggest value? (a) i (b) -0.5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 11*q = 9000. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (18\/(-4))\/(14\/((-2439080)\/93))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {s: 1, o: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 13*f**2 + 14*f - 55. Calculate y(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.142.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-13)\/4)\/(1\/4). Let t(d) = -d**2 + 17*d + 664. Let v be t(35). Let f = v + c. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368782.\nAnswer: 2, 23, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -1)\/(0 + -5))\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6394 and 48372?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 22294362.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(104)\/sqrt(2) + sqrt(52)) + (-4 + sqrt(1053) + sqrt(1053)*1)**2 + (sqrt(3146)*1 + sqrt(3146))\/(sqrt(98)*-2 - sqrt(98)).\nAnswer: -2794*sqrt(13)\/21 + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623610 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 1884695.\nAnswer: 1884695.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17127 + 8774 + 8689 - 14*m)*(-2 - 2 + 3) to z*m + r and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*k + 4 = 0, 3*k + 2*k = -5*z + 40. Suppose 0 = -p + 6*p + 5, 35 = z*c - 5*p. Suppose 5*n = -c - 10. Which is greater: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44285692 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + 0.014?\nAnswer: 43.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -28*p**2. Let f(s) = 6*s**2. What is x(f(u))?\nAnswer: -1008*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 6. Let u(f) = -f**3 - 8*f**2 - f - 7. Let t be u(o). Which is the nearest to 0? (a) -2 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*g - 199 - 333 + 28. Let k(c) = -9*c**2 - 3*c - 1. Let v be k(3). Let h be v\/21 - (2 + g). What is the third biggest value in 0.2, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22010 + 5363 = -876*d + 2729 + 6904 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 4 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/16)*(t*t**(-21))\/t*(t**(-8))**24)**(1\/50) assuming t is positive.\nAnswer: t**(-3409\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 647*w**3 - 675. Let b(l) = -l**2. Determine m(b(h)).\nAnswer: 1941*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 739003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-7)*l*l)**19 assuming l is positive.\nAnswer: l**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 184\/(-13) - (-10)\/65. Let k = 32 + i. Let z = k - 2. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -9, 3*u + 3*f - 696 = -2*u. Let s = 2 + u. What is the greatest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.936784ms to minutes.\nAnswer: 0.0000489464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -6. Suppose -4*x + 61 = -v, -2*x + f = 2*v - 14. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1873694688.\nAnswer: 2, 3, 19517653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 1, u: 1, t: 1, y: 1}. What is prob of sequence yke?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7304 and 415.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euze when four letters picked without replacement from {e: 2, m: 1, z: 1, r: 1, u: 2, h: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5 = -7. Let a = 3955 + -3967. Sort -2, a, o, -1.\nAnswer: a, o, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-5752\nAnswer: -23008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -253.5 - -250.0589. Let n = 3.46 + u. Round n to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4608109 or -4608110?\nAnswer: -4608110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3381*t - 3384*t = -p + 35, -4*p + 19 = -t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + -2*sqrt(500)*2)*2)\/(3*(sqrt(490)*-2 - sqrt(490))*6).\nAnswer: 5*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -98, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - d - 1, 0*h + 2*d - 33 = -5*h. Let t(i) = 2*i + 2. Let u be t(h). Suppose -5 = 3*r - 5. Solve r*n = 3*n + u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + v - v - 2*v - 2*v + 2*v + (3*v - v - 3*v)*(-5 + 3 + 1).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**17*j)\/j*j\/(j**(-15)*j) assuming j is positive.\nAnswer: j**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2909, 0, -4 in decreasing order.\nAnswer: 2909, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -1010?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49058889 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 0, m - 90 = -3*m + 2*q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 941290 and 910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 2 - -1) + -1. Suppose -m - 23 = -2*j, -42 = -j - t*j - m. Suppose 5 = -d + j. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**6\/30 + w**4\/6 + 7*w. Find the third derivative of f(i) wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-18))\/(2\/6). Let t(j) = 2*j**2 - j + 1. What is the remainder when t(n) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**3 + 3*b**2 + 55*b - 94. Calculate a(9).\nAnswer: -4459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 - (-2 + -7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-2) - (0 + 1). Let h = 21 + g. Let j = 19 - h. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 1, m: 6, t: 5, d: 3, h: 5}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -14. Let s = -153 + 159. What is the remainder when (-2)\/(-3)*3 - o is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(117\/180)*370\/1850?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -37375.\nAnswer: -37375.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o + 24. What is the highest common factor of o and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyyywyyywyyyyyn. Give prob of sequence wyyw.\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 6*o + 3. Let l be f(-3). Let p be (-2)\/((-8)\/12) - l. Suppose p = 5*g - 158 + 48. Solve -5*t = 7 - g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - 38. Suppose 2*u - h = -5*i, 3*i + 0*u + u = 16. Let q(y) = i + 3*y**2 + 4*y - 8*y + 9*y - 4*y**2. Give q(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 43*v**2 - 32*v - 20. Give a(-22).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/6278 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 18. Suppose -2*d = 4, -h*d + 1 = r - d. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 148.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27603 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 17016.\nAnswer: 17016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)*(y**(-1\/2)\/y)\/y)\/(y**(-2)*y**(2\/9))*(y*y**1)**(-50)\/(y*(((y*y\/((y**(3\/2)*y*y)\/y*y))\/y)\/y*y)\/y*y**(2\/3)*y) assuming y is positive.\nAnswer: y**(-6257\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/20 - 3*l**4\/4 - 23*l**3\/6 - l**2\/2 + 1364*l. Determine b(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-5)\/(-1))*2. Suppose -12*p - 4*h - 11 = -13*p, 4*p - h + 16 = 0. What is the nearest to p in 1\/2, j, 5\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*z**3 + 2034*f**2*z**2 + 8*f*z**3 - f*z**2 + 47*z**3 wrt f.\nAnswer: 2*z**3 + 4068*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/48 - 974\/(-12)) + -5. Factor 183*o**2 + 8 + 40*o**3 - h*o - 117*o**2 - 110*o**2.\nAnswer: 4*(o - 2)*(o + 1)*(10*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.250554 kilometers?\nAnswer: 225055.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 90*x - 113*x - 105*x - 17 to l + u*x and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 30532142710.\nAnswer: 30532142710.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**5\/10 - g**4\/24 + g**3\/3 + g**2\/4 + 6*g - 12. Find n such that t(n) = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 9. Let u be f(4). Calculate the common denominator of -1*(-2)\/(24\/274) and (-10)\/u - (-106)\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -5, -0.88, -0.3?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 25*n**2 + 13. Let t be a(-25). Suppose 4*i + t = 5. What is the fourth biggest value in i, -1\/3, 1, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370.362 - 370.18. Is b not equal to 0.001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 8. Suppose -486 = -4*t - 2*f, -6*f = 2*t - 11*f - 273. Let d = 127 - t. Solve 0 = -3*l + d*c + 12, 0 = -v*l - l + 5*c + 21 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-1)\/10*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87173.49 milligrams in kilograms?\nAnswer: 0.08717349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4507, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) 0.5 (d) -0.2612\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 21*b - 10. Let y(q) = 3*q**2 + 20*q + 9. Let z(o) = 2*j(o) + 3*y(o). Let w be z(-7). Suppose -55*u + w = -52*u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9786 = -323*i + 2165 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/11 - 174\/(-132). Let -9\/2*f**3 - 9\/2*f**2 - 3\/2*f**4 + 0 - x*f = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = p + 31771, 0 = 2*c - 2*p + 3372 - 19262. What is the greatest common divisor of c and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79944 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:58 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 2:12 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8878 divided by 2.\nAnswer: 4439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1664639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1301*v - 725*v + 9*v**2 - 697*v)*(-22*v - 17*v + 32*v) as j + w*v**2 + l*v**3 + u*v and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1718947 or 1718936?\nAnswer: 1718947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20474.11 centimeters in millimeters?\nAnswer: 204741.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3, -0.09, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57542 (base 12) to base 13.\nAnswer: 41081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12786133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvb when three letters picked without replacement from {v: 1, u: 3, w: 3, b: 8, a: 5}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 167, 356, 561, 788, 1043, 1332, 1661?\n\"Answer: j**3 + 2*j**2 + 176*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83598, 83596, 83594, 83592, 83590, 83588?\nAnswer: 83586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3795\/1380)\/((1\/4)\/((-21)\/21))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = 2*p - 0*p, -2*l + 2*p + 12 = 0. Suppose -5*w - l = -4*v, 2*v + v - 9 = 0. Suppose -4*f - w = -29. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31138 or -28893?\nAnswer: -28893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ad562 (base 15) to base 13\nAnswer: 163c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.17? (a) 4 (b) 0.1 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g - 53 = -11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -237. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 0*l = 4*l - 56, 3*l - 42 = -5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1232648588 to four dps.\nAnswer: 0.1233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002193699659 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766881 is divided by 153353?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 48?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (552\/15)\/((-28)\/(-40)*(23 + (-2826)\/126)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -22*t**2 + 1\/60*t**5 + 1\/3*t**3 + 0 + 0*t + 1\/24*t**4. Determine h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0826018 and 3.\nAnswer: 0.2478054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3497006, 3496998, 3496992, 3496988, 3496986, 3496986?\n\"Answer: o**2 - 11*o + 3497016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89642909?\nAnswer: 89642909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 2*c**2 + 2. Let m(x) = 23*x**3 - 8*x**2 - 15. Calculate 4*f(p) + m(p).\nAnswer: 15*p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 373*b**8\/28 + 83*b**4\/12 + 7*b**2\/2 + 7*b + 5. What is the third derivative of o(g) wrt g?\nAnswer: 89520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 8*n - 6. Let t be (2 + -1 + -2)*-2. Suppose -29 + 17 = -t*c. What is h(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 629*k**3\/3 - k**2\/2 - 22*k + 629. Find the second derivative of d(a) wrt a.\nAnswer: 1258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19517 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -1\/2*g**2 + 1\/120*g**5 + 1\/48*g**4 - 2 + 0*g + 0*g**3. Let k(r) be the second derivative of t(r). Factor k(j).\nAnswer: j*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24*1 + -2*(-16)\/(-8). Suppose k*j = 17*j + 756. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 1685 and -3686463.\nAnswer: -3684778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956822?\nAnswer: 2, 3, 7, 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 148, 223?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c4 - 6b50?\nAnswer: -6559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 7. Let x be v(-5). Suppose 8 = 7*c - 5*c. Suppose x*p - 14 = 2*o, -c*p - 4*o + 8 = -3*o. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129101 - 0.14?\nAnswer: 129100.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + f = -s - 15, -f + 1 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2 - 3 + 3*q**2 + 2266391*q**3 - 2266390*q**3. Let t = -2 + -1. Determine j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*b - 1 + 12, -3*j + 4 = -5*b. Let a = -3 + b. Let l = a - -10. Solve -5*t + t + l = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.3 (c) 2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 4 + -11 + 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 18. Let k(r) = 7*r + 30. Let q(p) = -6*k(p) - 10*o(p). Let g(c) = -3*c - 6. Determine g(q(s)).\nAnswer: 96*s - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1012 divided by -1\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 85*c - 203. Let o be q(80). Suppose -6 = -2*h - 2. Solve -198*i**2 + 392*i**2 - o*i**h + 6*i - 3*i**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06 - 0.36. Let j be (-10)\/104 + (-4)\/26. Is j less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16870, 68157, 153624, 273271, 427098?\n\"Answer: 17090*h**2 + 17*h - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 679 * -8\nAnswer: -5432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 b, and 1 u when four letters picked without replacement from {u: 2, b: 2, w: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 - h**2 - 2*h. Let n(y) = 11*y**3 + 10*y**2 + 20*y. Let s(j) = n(j) + 10*t(j). Let f(o) = o**3. Give 6*f(p) + 2*s(p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8936 = -4*x, -4*x - 4*g = -3386 - 5522. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.018470537841 to 4 decimal places.\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(4212)*-2 + (sqrt(4212) - ((sqrt(4212) + sqrt(4212)*-1)*3)**2) + (1*sqrt(4212)*1 + sqrt(4212) - (1 + sqrt(4212) + 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*c**2 - 2*c**3 - 8 - 26*c**2 + c in the form i*c + u*c**2 + l*c**3 + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -4*p. Factor -y - y**2 - y + p - y**3 + 3*y + 0*y.\nAnswer: -(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8 (b) 2\/49 (c) -2\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188914577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3800.385 - 3819. Let p = -19.51505 - q. Let i = p - -0.9. What is i rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 20.57098 (c) -4 (d) -0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - u - 3. Let l be y(4). Let o be ((-6)\/4)\/(2\/(-300)). What is the highest common factor of l and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19125)\/5100*16\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 10:32 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2519 + 784 + f**2 - 139 in the form o + l*f + s*f**2 and give o.\nAnswer: 3164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, f: 3, b: 3, v: 3, g: 1}. What is prob of picking 1 b and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*r**5 - 40*r**4 - 3*r**3 - 24028*r - 1.\nAnswer: 140*r**3 - 480*r**2 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*q + 2760 = 155*q. Let m(c) be the first derivative of 0*c**2 + 8\/21*c**3 - 3\/7*c**4 + q + 0*c. Factor m(t).\nAnswer: -4*t**2*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13759*v**3 - 1191*v**2 wrt v.\nAnswer: -82554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j**2 - 34*j - 151. Determine k(-4).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 598919, -2, 0.2 in descending order.\nAnswer: 598919, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 145.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from huhehuuowuhuuhh.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2*j + 0 + 3)*(-121 + 121 + 24*j) as b*j**2 + l*j + v and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -307 and 0.03.\nAnswer: -306.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -869 - -1511. List the prime factors of r.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*t - 4, 6*y - y + 15*y - 8 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(612))**2 + sqrt(17) - -1*(sqrt(17) + -1)**2) + (-4*sqrt(2448))**2 + (sqrt(1377)*-4 - sqrt(1377) - sqrt(1377))**2.\nAnswer: -52*sqrt(17) + 91264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 21*c**2 - 2*c - 61. Give p(-21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 2*v - 13, 3*v = 5*v + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 436*p + 222*p - 136*p.\nAnswer: 509*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4, 5*r + 7 = 3*h + 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461856 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614645 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(-35)*s))\/s*s**(3\/26)\/s*(s\/(s\/(s\/(s*s**(-30))*s)))\/(s*s\/(s*(s*s\/s**13*s*s*s)\/s)))**32 assuming s is positive.\nAnswer: s**(22512\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 730 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8671 - -5119. Is -1*(-4 - -2) - p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 576*v + 433444 + 1823*v - 433444 to a*v + t and give a.\nAnswer: 2399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 31.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333084783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 44696*z**2 + 124858276*z.\nAnswer: 4*z*(z - 5587)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n + 4 - 4)*(215 + 74 - 31) - 5*n + 2 - 2)*(2 + 0 - 4)*(7*n**3 - 3*n**3 - 2*n**3).\nAnswer: 4148*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755373442.\nAnswer: 2, 377686721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -28.09\nAnswer: 8.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1770 + 7.8966.\nAnswer: -1762.1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 147*z = 110*z + 772 + 770 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-16 + 4 - 12)) + (1 - 3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0*t**4 + 0 - 1\/30*t**5 + 0*t + 0*t**3 - 2*t**2. Let g(m) = m**3 + 7*m**2 + 7*m + 8. Let f be g(-6). Give q(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (-1914)\/(-88))\/(8 + 4888\/(-608))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 15 = 0, -o - 3*o - 24 = -4*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/(18\/12). Let c(o) = -5*o + 4*o + z - 10 - 4. Give c(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1378035 divided by -275607\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 6. Let m be x(9). Let t(d) = -3*d - 3. What is the units digit of t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3374 + 79. Suppose -2*v + 3*o = -8018 - d, -5*v + 4*o = -28681. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**2 - 76*z**2 - 71*z**2 + (2*z - 1 + 1)*(-z + 0*z + 2*z) as x + q*z + k*z**2 and give k.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -24775, 5, -102, -3 in descending order.\nAnswer: 5, -3, -102, -24775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 29. Let u = 25 + a. What is the closest to u in -2\/7, 2, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -6*l**2 + 13\/20*l**5 + 0 - 4*l + 0*l**4 - 1\/6*l**3. Find the second derivative of v(t) wrt t.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/7 - 7458*t\/7 + 11737 = 0?\nAnswer: -7469, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1875 and -0.06.\nAnswer: -1875.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.5512 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1738478 and 58\/49.\nAnswer: 12169346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -23*k + 245. Let a be f(10). Solve -10 = -5*c + a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.63995725 + -0.3?\nAnswer: 4.33995725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(275) - (sqrt(275) - -2*sqrt(275))) + -6*(sqrt(275) - 3*sqrt(275)))**2.\nAnswer: 53900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13674367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -160090?\nAnswer: 33\/160090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 25. Suppose -c + 315 = m*g, -2*g = -2*c - 192 + 66. Let r(q) = 24*q**2 - g*q + 63*q - 67*q**2. Let h(t) = 2*t. Calculate r(h(k)).\nAnswer: -172*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -44*a - 3. Determine y(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 17. Let x be g(-7). Let k be 1\/5 - x\/10. Let f(z) = k*z - 2*z - 2*z + z. Let n(l) = -4*l. Calculate n(f(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 - 3262*x.\nAnswer: -3262*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + p + 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 9\/4*a**5 + 5\/2*a**3 - 1\/4 + 3\/2*a**2 - 21\/4*a**4 - 3\/4*a = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1505224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 144 - 130. Suppose 58 = 8*z - c. What is the greatest common factor of z and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*s - 95 + 479. Solve -s*j = 19 + 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z. Let n(l) = 54*l. Calculate n(j(s)).\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703783 = 5*g - 3*y, -3*y + 157771 = 2*g - 123738. Suppose p - 229244 = g. What is p rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 12*d - 10 = 0. Solve 16 = d*b - 6*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -8 - 7. Suppose x*h + 4*q = 105, -h - 3*h = -2*q - 58. Suppose -a - 3 = -i, -4*a = -i - 2 + h. Is 1 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 5*f - 227, 2*f - 422 = 88*j - 82*j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -26. Let m(a) = -a**2 + 10*a - 4. Let c be m(b). Solve 0 = 2*i - 2, c*g = 3*i - 1 + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*-4*sqrt(204))\/((5*sqrt(132))\/sqrt(11)).\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 118 - 92?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:09 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 506, 507, 508?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - u = -7, -5*q + 6*q = 2*u + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*d**3 - 149*d**3 - 151*d**3 - 158*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62, 187, 388, 659, 994, 1387?\n\"Answer: -t**3 + 44*t**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -132864 and -2.\nAnswer: -132866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710495 to the power of 1\/2, to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-12)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2. Let a(k) = 1595*k**2. What is c(a(s))?\nAnswer: 2544025*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1828338257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 + -415 - (-3 - 1 - (3 + -6)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 268.79 + -269. Let t = n + 0.283. Which is the smallest value? (a) t (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*d, d = -9*a + 7*a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 13 - 11 = 0. Suppose 2 = h - p. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -34. Suppose -z + o + 26 = 6, 0 = 2*z - u*o - 49. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 636611, 636832, 637043, 637238, 637411?\n\"Answer: -o**3 + o**2 + 225*o + 636386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 10, 2\/5, -4, 13985, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10532, -3, -4 in descending order.\nAnswer: -3, -4, -10532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 337 = -5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/17)\/(((t**5\/t)\/t)\/t))**(-1\/4))**(6\/7) assuming t is positive.\nAnswer: t**(15\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 467382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -861 - -1583. Let l(w) = -9*w - m + 722. Let b(x) = 2*x**2. Determine l(b(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2083143263 to the nearest integer?\nAnswer: 45641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r. Let i(g) be the first derivative of -469*g**2\/2 + 2124. What is x(i(w))?\nAnswer: -2814*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**3 - 18*y**2 + y + 22. Let h(o) = -8*o**3 - 35*o**2 + 3*o + 42. Let d(c) = 2*h(c) - 5*x(c). Determine d(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*p**5 - 2*p**4 + 70005*p**3 + 1295*p**2 - 10*p - 3 wrt p.\nAnswer: -600*p**2 - 48*p + 420030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3352 and 1191636?\nAnswer: 2383272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4481, 4693, 4905?\nAnswer: 5117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 453287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9321218 + 0.2668.\nAnswer: 1.1989218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 + 0.1. Let y = -0.04 + c. Round y to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.13 - -22.87. Let a = 27 - r. Put 1, a, 0 in ascending order.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2615 - -2615. Which is bigger: -3\/1013 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d\/d**(-11\/5))**(2\/185)*(d\/d**(2\/9)*d**7)\/((d\/((((d\/(d\/d**(2\/7))*d*d)\/d)\/d*d)\/d))\/d**(-5)) assuming d is positive.\nAnswer: d**(126676\/58275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*g**3 - 1664*g**3 + 12906*g**3.\nAnswer: 12038*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -13678?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1\/7, 0.4, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1183686340 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r**(2\/7)*r*(r\/((r*r**(-2\/13))\/r))\/r*r**1*(r*r**(-1\/2))**(-41\/2)*r**4\/(r*r**(2\/7)) assuming r is positive.\nAnswer: r**(-629\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95 by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -4.8, -1\/207, -3.8, -2\/87?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 126*r = -1140. Solve 33*b - r = -213 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 601486 - 601481.00054. Let z = -5 + p. Round z to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57427100 to the nearest 100000.\nAnswer: -57400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/56, 39, -2301\/2?\nAnswer: -2301\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5 (c) 0.2162 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 10. Calculate the remainder when 53 is divided by g(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*a = 2*a + 6, -5*s - 25 = a. Let v(g) = -g**3 - 5*g**2 - 2*g + 2. Determine v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 1\/5, 3\/5, -5\/6.\nAnswer: -38, -5\/6, 1\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2 + 51*n - 11. Let l be m(7). Let f(v) be the first derivative of -1 + 1\/8*v**4 + 0*v**l + 0*v + 0*v**2. Solve f(j) = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.5104 plus -282?\nAnswer: -337.5104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/245 (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10315 + -10314. Which is the second smallest value? (a) 1\/8 (b) -0.06 (c) 0 (d) l (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -15*f**4 - 6*f**3 - 6*f**2 - 6*f + 92. Let h(c) = c**4 - c**3 - c**2 - c - 1. Let a(o) = -d(o) + 6*h(o). Differentiate a(p) wrt p.\nAnswer: 84*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 3*i + 4. Let z be r(3). Let p = z + 22. Let f(v) = 6*v + 7. Is f(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161 and 0.5.\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let r = 3983 - 3982. Let a(q) = -3*q**2 - 7*q - 1. Determine r*j(x) - a(x).\nAnswer: 3*x**2 + 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37115665243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15925 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 + 481446*c**2 - 2319005*c + 4 wrt c?\nAnswer: 12*c + 962892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1003 + 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1589 + -4694\/3. Let z = 1603\/66 - d. Let t be (0*1\/5)\/2. Which is smaller: t or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7*h - 45. Let o(f) = -1300*f**2 + 64*f - 64. Let n(g) = -61*g**2 + 3*g - 3. Let a(p) = 64*n(p) - 3*o(p). Calculate a(y(r)).\nAnswer: -196*r**2 - 2520*r - 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4*a**2 - 8\/7*a + 36\/7*a**3 = 0. What is a?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 4*k**2 + 3*k. Let r(i) be the second derivative of 7\/12*i**4 + 0*i**2 + 2*i - 5\/6*i**3 + 0 - 1\/20*i**5. What is -5*o(a) - 3*r(a)?\nAnswer: -2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 14. Let q = -0.9 + -2.1. Let c = -0.8 + -3.2. What is the nearest to d in q, c, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000390455 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187691563 to the power of 1\/2, to the nearest integer?\nAnswer: 34463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2. Let k(v) = -20*v - 1. Give n(k(t)).\nAnswer: 2400*t**2 + 240*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 = -20. Let y = 29 - v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uyyuyyu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/93 and 29\/81871.\nAnswer: 245613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19433*b**2 - 100 + 476*b - 19435*b**2 - 22*b.\nAnswer: -2*b**2 + 454*b - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-42) - (-100)\/150.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in -2\/15, 3, -22, -1\/6, 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3335, -13279, -29861, -53087, -82963, -119495, -162689?\nAnswer: -212551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.2 (b) -2\/17 (c) -92 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**40 assuming a is positive.\nAnswer: a**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvdghhhvhkd. Give prob of picking 1 g, 1 h, and 1 b.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 b when three letters picked without replacement from euuuueuuuuuuxb?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2706 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00339913 to 5 decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 892, 2044, 3646, 5692, 8176?\nAnswer: 11092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231 - 224. Let h be -1*(2 - 2)\/w. Let l be (-2 - 240\/(-117))*-3. Which is the nearest to h? (a) -2\/5 (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 578.8412l?\nAnswer: 578841.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 936, 4377, 10306, 18723, 29628, 43021, 58902?\n\"Answer: 1244*q**2 - 291*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 19679926?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -658 - -664. Suppose -b = -3*b. Let f be (-45)\/l*(b - 2). Which is smaller: f or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeieeeeekk. What is prob of picking 1 e and 1 k?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 9. Let q = -7771\/17 + 457. Which is the nearest to 2? (a) m (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 4*f**2 + 5*f + 2. Let m(v) = -17*v**2. Let t be m(1). Let x be 0 + (-1 - -2) - (14 + (-11 - -10)). Let l = t - x. Calculate d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 30*t - 60 = 0. Let k be (-2)\/(t\/(-15)) - (-87)\/(-27). Which is the closest to k? (a) -3 (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 2*g - 3. Let h be (-3)\/(-1 - (-49)\/56). Suppose -4*s = 4*d + 28, 5*d + 4*s = 3*d - h. Determine t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (59040\/(-5248))\/(50\/(-8))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2\/11, -2\/7, 186, -4?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from hdddg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elll when four letters picked without replacement from ylyyylljerlyll?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39444908 take away -156154?\nAnswer: 39601062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9354000 rounded to the nearest 100000?\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 2, -2\/9, 1, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 3 (b) 63 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 934524 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 277*j - 1422. Determine i(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4992761 millennia in months?\nAnswer: 5991.3132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*x, 4 - 6 = 2*c + 4*x. Calculate the remainder when 71 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 329 - 330. Which is the biggest value? (a) 16 (b) 2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - -356?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from fazazaqua.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25cb + 4c?\nAnswer: -257e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14580173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 - 157 = 39*g. Sort -30, -1, 2, 6, g.\nAnswer: -30, g, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l - 3. Let o(p) = 1. Let z(c) = -g(c) - 5*o(c). Suppose 5*d + 16 = 1, -2*h = -2*d. Is z(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*h**2*v**3 - 2*h**2*v**2 - 2*h**2*v - 134*h**2 - 14*h*v**4 + v**3 wrt v.\nAnswer: 90*h**2 - 336*h*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (143\/(-39))\/((-1)\/3). Solve -10*i = -m*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3936868141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -773 + 915. Calculate the highest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -27 - (19 + -2 + (-151 - -130)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2089 + -17c4b?\nAnswer: -1a007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) -5 (c) 285\/8 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18697 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 25*r - 25. Let y(a) = a**3 - 2*a**2 + 2*a - 2. Let h be y(2). Let v(x) = 4 - x**2 + 4*x - 3*x**h + 3*x**2. What is -25*v(o) - 4*w(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 1410*m - 1407*m - 2*v, -3*m + 27 = 3*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -16*u - 1. Suppose 0 = 4*n - n + 3. What is the remainder when 59 is divided by d(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - (6*(sqrt(110) - (sqrt(110)*-2 - sqrt(110)) - sqrt(110)) + sqrt(110)))\/(sqrt(250)*3 + sqrt(10)).\nAnswer: -9*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1 + 7)\/(-3). Suppose 33885 + 9123 = 42*n. Calculate the common denominator of n\/(-660) - s\/(-11) and 65\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s**2 + 3*s - 5. Let m(f) = -8*f**2 - f + 3. Let a(k) = -11*m(k) - 6*q(k). Let n be a(-3). Solve o + j + 4 = n, 4*o - 19 = 3*j - 0*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - g + 523 = -177, 3*x - g = 119. Solve -47*d + 32 = -x*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*k**4 - 2 - 1 + 3*k**2 - 2*k**2 - 4*k in the form n*k**4 + m*k**2 + y*k**3 + i + o*k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4738.\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/504 and -41\/846?\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 6459. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3531 + 3468 = -3*m, 4*m + 5*d - 84 = 0 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*t + 1057*t - 260*t + 58*t in the form o*t + i and give o.\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3 + 158650*j**2 + 7143212*j + 6984560 = 0.\nAnswer: -44, -1, 79370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/(-387)*-3*9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -229*q**3 - 17*q**3 + 118*q**3 - 411 + 2*q**2 wrt q?\nAnswer: -384*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 72. Suppose 5*n - 118 = 3*b, 7*b + 113 = z*b + 4*n. Sort b, -1, 1 in descending order.\nAnswer: 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(-122))\/((-15)\/294). Let x be (-3)\/((-12)\/24 + (-243)\/2). Let r = x - f. Find the common denominator of r and -3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67915 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**6\/30 - j**5\/24 - 2*j**3 + 3. Let m(v) be the third derivative of a(v). Find the second derivative of m(p) wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 280 = -11*m. Is 126\/m*(-8886)\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364606 (base 10) to base 9\nAnswer: -615127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/6 - 16723\/(-2940) - (-259)\/111.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431309579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + n - 4. Let d be (-3)\/(-6) - (-5)\/2. Calculate w(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from dkkkmddkkdkkkkkdkd.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3334 is divided by 1663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -88149350 at least -88149351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 - -174. Let i(o) be the second derivative of -7\/30*o**6 + 5\/42*o**7 + 0*o**2 + 0*o**4 + 0 + 1\/10*o**5 + 0*o**d + o. Factor i(m).\nAnswer: m**3*(m - 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 - -218 - (2 + 0 - -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*((v*(v*(v\/(v\/v**(-1)))\/v*v)\/v*v*v)\/v)\/v))**(-31))**(-6\/5)\/((v*v**(-1\/3)\/v*v)\/v**2)**23 assuming v is positive.\nAnswer: v**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2330 - 2298. Solve -h = 18*q + 22 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1465530\/180 - (-1)\/6?\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 5, h: 2, r: 5, d: 1, e: 2}. What is prob of picking 1 h and 1 f?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (395\/(-85) + 25\/5)\/((-18)\/(-2) - 10)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12. Let u be (1\/(-1))\/(j + 3\/(-15)). Suppose 256 = 4*q + 2*n, 2*n = q - 59 - u. Calculate the remainder when q is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(38))\/sqrt(2)*5.\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 52. Let u(n) = -2*n - 53. Let b(j) = 6*i(j) - 5*u(j). Let c be b(-25). Suppose 15 = 5*k - 0. Solve -18 = c*x - k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001194665889 rounded to 6 dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 1, -5.48?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 490954990*r - 32546739 with respect to r.\nAnswer: 490954990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -119*(-14 - (-3 + -8)). What is the greatest common factor of r and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 24*d - 15. Let v be b(-10). Let s = v - 16. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3046396 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36505*i**4 + 39811.\nAnswer: 146020*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:58 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10140 and 8387470.\nAnswer: 50324820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13536 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5474, -717, 23 in increasing order.\nAnswer: -717, 23, 5474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/171 <= 314\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10048, -20115, -30182?\nAnswer: -40249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -139\/6 - -47\/2. Put -0.4, -5.6, d in decreasing order.\nAnswer: d, -0.4, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 1518.\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 10:52 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-77086)\/(-11) - (-70)\/385. Suppose 18*h - t = -14*h. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54701031107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1737, 6321, 13747, 24015, 37125?\n\"Answer: 1421*a**2 + 321*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:24 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 1782*m + 5373.\nAnswer: -3*(m - 3)*(m + 597)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1446.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 - -64.05. Let b = 2.03 + q. Sort -0.3, b, -2, -1.\nAnswer: -2, -1, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - m + 2, -2*m - 10 = 1856*a - 1855*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(48)\/(sqrt(648) - sqrt(8)))\/((sqrt(24)*2)\/sqrt(8))*-3.\nAnswer: -21*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**6\/120 - f**5\/15 - f**4\/12 - f**3\/2 + 23*f**2 + 2. Calculate d(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -11. Let i(v) = -v - 3 - r + 4. Let m be (-3)\/(-15) - 26\/5. What is i(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21348.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -61*j + 155. Calculate o(5).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37627.65 tonnes to grams.\nAnswer: 37627650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 240*v**2 - 4273*v - 1636. What is w(17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -4*d**3\/3 + d**2 - 6*d + 14. What is t(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 36*x**2 + 37*x + 101. What is the remainder when 56 is divided by k(-35)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 + 3*w**3 - 5*w**3)*(16 - 16 + 9*w)*(6 - 3 - 4).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 + (378\/(-70))\/(12\/(-15)). Which is the closest to 2? (a) 0.5 (b) h (c) 8 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**4\/4 + 2*i**3 - 3*i**2\/2 + 2*i + 13. Let k be m(4). What is the lowest common multiple of 6 and ((-4)\/(-3))\/(k\/66)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-10\/9)\/v*v*v)*v*v*v**18\/v*((v\/v**(-10))\/v)\/(v*v**(-17)*v))**(-45) assuming v is positive.\nAnswer: v**(-2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 121196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 1*-5 - (96 + -10341). Suppose 2*h + 4*r - p - 16890 = 0, -h + 13565 = 3*r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52168*r - 223613 wrt r?\nAnswer: -52168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d = -5*r + 169, 3*d - 21 = -r. Calculate the remainder when 464 is divided by ((-9)\/2)\/(4\/((-2288)\/r)).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from drdytvkkyvvkdtvtvry. Give prob of picking 1 k, 1 d, and 1 y.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6379.551 centuries to months.\nAnswer: 7655461.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:13 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 5*i + (0 + 1 - 3)*(0*i + 2*i + 4*i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 65. Suppose -5*q + 88 = -f. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*h - 19996, 0 = -4*h - s + 22631 + 3992. What are the prime factors of h?\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/32*0\/(-4). Suppose -2*d + 0*d = j - 448, t = d + 3*j - 219. Is 75 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*67.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 - -111. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0600259 * -0.04\nAnswer: 0.002401036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.056 + -0.056. Sort 0.8, 0.2, d in increasing order.\nAnswer: d, 0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*r - 1212 = 66*r + 6274 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**5 + n**4 + n**2 - 1. Let r(d) = -7*d**5 + 2*d**4 - 5*d**3 + 19*d**2 - 2. Let g(x) = -2*f(x) + r(x). What is the third derivative of g(o) wrt o?\nAnswer: -60*o**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-899 - 51 + 24)*(2 - 6 + 3)*(-1 - 4 + 4)*(-1 - 1 + 3)*(-2 + 2 - q) as a + j*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 92 + -9 - -9 - 50\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -258, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 2:22 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/48*(6784\/(-280))\/8 and -121\/480.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 17 = 2*c - 35, -21 = -3*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874 - 434 = -110*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:06 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/13*p**5 + 0 + 8\/13*p - 22\/13*p**3 + 12\/13*p**4 - 8\/13*p**2.\nAnswer: 2*p*(p + 1)**2*(3*p - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97416563 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 5, o: 5}. What is prob of picking 2 x?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 4*t**2 - 5*t + 5. Let k be n(2). Solve -p = -k*p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215474855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 833 in -10, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 2. Let o be p(3). Let g(m) = -15*m. Let h(r) = 29*r + 1. Let w(q) = 7*g(q) + 4*h(q). Is 19 a factor of w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -2*p - 6*p. Suppose 3*l - 2*b + 32 = 0, 17*l + 2*b = 19*l + p. Let c(u) = u**2 + 7*u - 2. Calculate c(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 15 = 4*x, -33*w = -35*w - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 5. Let d = -79 - 148. Let p = d + 222. Give t(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-4) + 2 - -2. Suppose -1 = -3*x - 1. What is n in x + 0*n + i*n**2 + 0*n**3 - 1\/2*n**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05532245 rounded to three dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 771653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.5 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16912 + -16914. Which is the nearest to 8? (a) w (b) 2\/47 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czm when three letters picked without replacement from {m: 1, z: 1, c: 2, l: 1, f: 3, j: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 3\/2*z**2 + 1 + 1\/2*z**4 + 0*z + 0*z**3. What is the second derivative of i(p) wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*u + 30, 2*u + q = 4*u - 35. Suppose -19*g + 210 = -u*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -28*h + 309. Suppose 2*i - 181 = i. Let d = i - h. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 17. Let n be y(-5). Let b = 0.1 - 0.3. Let c = 0 + b. What is the closest to c in -3, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -137, -316, -567, -890, -1285?\n\"Answer: -36*l**2 + l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -22*r - 154. Let y be m(19). Let k = 570 + y. Let n(d) = d**3 + 2*d**2 + 5*d + 3. Let p(c) = -2*c**2 - 4*c - 2. Calculate k*n(u) - 3*p(u).\nAnswer: -2*u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, k: 3}. Give prob of sequence kkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.005 + -18.105. Let g = -3 - -8. Which is the closest to -1\/2? (a) -0.09 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162299390.\nAnswer: 2, 5, 11, 37, 39877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 5*o - 4 - 2, 6 = 3*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89885*j**2*r - j**2 + 2200*j + 8 wrt r?\nAnswer: 89885*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4098, -4636, -5174?\nAnswer: -5712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2493 - -2680. What is the remainder when 201 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*v + 51*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 1392?\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2181, -2117, -1885, -1401, -581, 659, 2403?\nAnswer: 4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(140)\/sqrt(90))\/(sqrt(1575) + -4*sqrt(63)) + 4.\nAnswer: -10*sqrt(2)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/4 - 3*r**3 + r**2\/2 + 7*r - 61. Calculate m(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*(4 + -3)*-6. Let y(p) = -10752*p**2 + 3*p + 2. Let t be y(k). Round t to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r - 13. Let w be f(-11). Let p = w - -79. Let q(o) = 2*o**2 - 4*o + 3. Let k be q(p). Solve 2*y = -k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/18 and 81\/19539524.\nAnswer: 175855716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88508.03 litres?\nAnswer: 88508030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + 0.3. Let b = f + -0.7. Let n = 2 + -2.2. What is the smallest value in b, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44224 - -0.05776. Let t = 32.1 + -32. Put -2\/11, r, -0.1, t in ascending order.\nAnswer: -2\/11, -0.1, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -28 + 19 + 0 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75.6689 + -116089.3.\nAnswer: -116013.6311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/405)\/(-10*1896\/1080).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 175, 404, 735, 1174?\nAnswer: 1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - 55*g**2 + 18*g - 430. Give j(-19).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013152 to four dps.\nAnswer: -0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12349, -19906, -27463, -35020, -42577, -50134?\n\"Answer: -7557*p - 4792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*v - 2 + 17 = 0, 5*v + 9 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005787196 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9*g**2 + 5*g + 19. Let y(l) = -20*l**2 + 11*l + 39. Give -9*m(n) + 4*y(n).\nAnswer: n**2 - n - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(1\/((-1)\/(-1))). Suppose -8 - 26 = -17*s. Solve -b = s*i + i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and -566?\nAnswer: -62.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*f**4 - 3*f**3 + 168*f**2 wrt f.\nAnswer: 696*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 81050 = -2*l, -3*q + 49*l + 121581 = 48*l. Suppose 17412 + q = 4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7357 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 33. Let m be f(0). Suppose -5*t + 4*j + 14 + m = 0, 20 = 2*t - 2*j. Let w(k) = k**2 - 4*k - 4. Calculate the remainder when w(t) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -870214 (base 11) to base 4.\nAnswer: -11103220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:05 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 22 = u, 4*u + 2*a = -0*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a4 - 226?\nAnswer: -40a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0272, 3, -7.34 in descending order.\nAnswer: 3, 0.0272, -7.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-2)*(1008\/70)\/(-18). Let x(p) = 2*p**3 - 4*p**2 + 7*p - 10. Calculate x(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p - 3. Let f be t(2). Suppose -3*a + 649 = -4*y, -2*y - f = 1. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/3)\/((-28)\/42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -173440 and 24.1.\nAnswer: -4179904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (31888\/27902)\/(4\/497)\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 235 or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 217.91, -4\/5, 4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in 2\/15, 2, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4356318233 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4235))\/(sqrt(112)*1).\nAnswer: 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6823100 to the nearest ten thousand.\nAnswer: 6820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-8 - (8 - -6))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -789*z**3 + 4*z**2 + 4*z + 8. Let d(t) = -467088*t**3 + 2367*t**2 + 2367*t + 4734. What is -4*d(x) + 2367*w(x)?\nAnswer: 789*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -1. Suppose g + 3 = b. Suppose b*h = 76 + 4. Calculate the remainder when 46 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51025703 greater than -51025705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -17*d**3 - 5459*d**2 - 25*d + 10. Let n(y) = 14*y**3 + 5458*y**2 + 20*y - 8. What is 5*n(c) + 4*q(c)?\nAnswer: 2*c**3 + 5454*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7293732, 14587531, 21881330?\n\"Answer: 7293799*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -31*r**2 + 4*r + 4. Let y(g) = 31*g**2 - 3*g - 3. Determine -3*u(n) - 4*y(n).\nAnswer: -31*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**6\/240 + q**5\/60 - q**4\/48 + q**2 - 6*q. Let z(w) be the first derivative of l(w). Let z(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 49*y + 2. Let j(v) = 409*v**2 - 1199*v**2 + 403*v**2 + 380*v**2. Give m(j(x)).\nAnswer: -343*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:49 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-40))\/((-3)\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/13040 and -23\/10?\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1760 and -1?\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 907849, -2 in ascending order.\nAnswer: -2, 11, 907849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -35 + (-102 - (-47 + -47))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 + 5*t**2 - 3*t**2)*(-2*t**2 - 2*t**2 + 2*t**2) + 15 + 12*t**4 + 5 - 16 to o*t + j*t**3 + m + k*t**2 + n*t**4 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 290\/116*-3*2\/(-40)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**2 - 12*j - 131. Is o(-28) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622, -620, -616, -610?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 - 5*f + 5. Let s(v) = 10*v**2 + 12*v - 12. Let k(x) = 12*n(x) + 5*s(x). Let r = 12 - 6. Let y(u) = -r*u + 66 - 66. What is k(y(q))?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 365579791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**6\/120 - 5*v**3\/6 - 2*v**2 - 5*v. Let a(h) be the first derivative of t(h). What is the derivative of a(f) wrt f?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71418878 by -35709439.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 + 21*q - 35. Calculate r(7).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1064\/304)\/((-9)\/720*5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 7:32 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1088) + 2 + sqrt(1088))**2 - (0 + sqrt(1700) + 2)**2.\nAnswer: -27840 - 424*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 4*i + 8 = 24*a, -5*a + 12 = 6*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -71, 5, -28 in increasing order.\nAnswer: -71, -28, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*(-36)\/567)\/((-3)\/21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 4, k: 1}. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -5, -2 in decreasing order.\nAnswer: -2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3636 (base 7) to base 11\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = r + r, 2*q - 3*r - 20 = 0. Suppose z + 60 = q*z. What is the common denominator of 137\/12 and (15\/z)\/(3\/(-7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2 - 11)) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3270*o - 8864. Does 31 divide x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Suppose 0 = -n*t + 3*t + 54. Let x be ((-5)\/15)\/((-1)\/t). Calculate the highest common divisor of 72 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 33*j**2 - 172*j**2 + 0*j - 99*j**2 + 1 - 2*j**2 in the form m*j + w*j**2 + c and give w.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 5*v - 142 + 139, 0 = -5*v - 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/224535654 and -79\/18?\nAnswer: 224535654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1353 = -267*f - 11*f + 34*f - 3283 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13359 and 1281.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4))\/((-4)\/(-24)*3). Solve -v + 5 = p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = -3*t + 11, 2 = -l. What is the closest to 1 in t, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -26*p + 28. Let z be l(1). Solve z*j + 0 = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 3303463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -465\/218 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 28 - -39) + 1 + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y**2 - 14241112*y - 9494072 = 0. What is y?\nAnswer: -2373518, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/5)\/(44\/20 - 1). Put -0.1, 3, c, -5 in descending order.\nAnswer: 3, -0.1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d = 4*c + 20, -5*d - 2*c + 26 = 0. Suppose 5 = -3*g + 4*g. Suppose d = g*r + 31. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:36 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 11*d + 84. Let a be t(0). Calculate the greatest common divisor of 147 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 27*l + 864 = 0. Let q = l + -430. What is the greatest common divisor of q and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:44 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + 4 - (6 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-800)\/(-128))\/((-25)\/10)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 0*c + 0*c - 2*c - 3*c. Let o(q) = -q**2. Determine y(o(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/(-1700) + (-7)\/(238\/(-804))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.8. Let w = -0.7 - y. Which is the nearest to -2? (a) 0.4 (b) -4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 649028268*d + 649028268*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 2.52?\nAnswer: 45.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:39 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**5*y - 297*c**2*y**3 - 1308*c*y**3 + 4*c*y + y**3 wrt c.\nAnswer: 120*c**3*y - 594*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1658\/(10 + 1 + -3). Let q = -7681\/36 + x. Find the common denominator of q and 39\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276394052 to the power of 1\/2, to the nearest integer?\nAnswer: 47712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82982.95l?\nAnswer: 82982950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 127*a**2 - 9*a - 19. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 13*i + 23. Let u be x(11). Let m(s) = s**3 + 6*s - 5*s - u + 3*s**2 - 2*s. Give m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16948 greater than 16946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/42 and -53\/147432.\nAnswer: 1032024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/15*159\/(-106)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.97 + -0.03. Let r = -510 + 512. Which is the closest to -0.1? (a) y (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*c**3 - c**2 - 51*c - 20*c**3 + c**4 - 16*c**3 - 2 - 21*c**3 + 3*c in the form o*c**2 + u*c**4 + p*c**3 + j*c + n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4403\/49)\/37*-7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386356 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 641539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - s - 1926 = -2088, 0 = -2*s + 4 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -3*w**5\/20 + 15*w**4\/4 + 8*w**3 + 400*w. Factor h(m).\nAnswer: -3*m*(m - 16)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 85273232?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 + -100. Let c = m + -54. Calculate the least common multiple of c and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y - 51*y - 6*y + 12*y + 124*y.\nAnswer: 106*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let h(g) be the first derivative of -g**3\/3 + g**2\/2 - g + 3. Let r = -6 + 10. Suppose -j - 5 = r*j. Determine j*h(c) + x(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12242, 12862, 13484, 14114, 14758?\n\"Answer: b**3 - 5*b**2 + 628*b + 11618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 219362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 21*c - 56. Let o be s(-4). What is the greatest common divisor of 222 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 53372*a\/5 + 853696\/5.\nAnswer: (a + 16)*(a + 53356)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 6136520.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1001 - -1954?\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 439 and 241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3, 1\/14, -2\/3, 1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.07, 4492336, -4 in descending order.\nAnswer: 4492336, -0.07, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r - 10, 0 = m - 3*r - 20. Let v = 29 - m. Let j = 224 - 220. Calculate the remainder when v is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-35)\/10 - -3)\/(-4). Suppose 4*n + 3*i = 20, 4*i - 7*i = -5*n - 2. What is the second smallest value in n, a, -1\/4, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4332743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*g = -19, -n + 5*g + 24 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 68. Let s(o) be the first derivative of -2\/33*o**3 - 1\/11*o**4 - 2\/55*o**l + 0*o**2 + 2 + 0*o. Factor s(h).\nAnswer: -2*h**2*(h + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -28*g**3\/3 + 307*g. Let n(t) = -5*t**2. Determine y(n(p)).\nAnswer: 280*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - (-8)\/(-14). Which is the biggest value? (a) 4 (b) q (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 14465 = 40*a. What is the remainder when a is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 24*c**3 - 25*c**3 - 2*c**2 + c**2 - 3 as f*c**2 + x*c**3 + h + j*c and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hvvvvhzzhihvvvv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1890 + 1890. Which is the nearest to 0? (a) -3\/2 (b) -158 (c) 0.1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*g**2*j**2*z**4 - g**2*j**2*z**2 - 4*g*j**3*z**4 + g*j**3*z - 19*g*j*z**2 wrt z.\nAnswer: 1320*g**2*j**2*z - 96*g*j**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3912 - 3901 + 7812 + 2*r**4 - 5*r + 3*r**3 as v*r**3 + l*r**4 + d*r + h + a*r**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*22\/(-16))\/(35\/(-1400)*5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(12) + sqrt(432) - (sqrt(3)*-3*2 + 2*sqrt(363)).\nAnswer: -2*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10928*h + 1661088. Give i(-152).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171)*2)\/(sqrt(27)\/sqrt(3)*-2) - ((sqrt(684) + sqrt(684)*1)*-1 + 0)**2*-2.\nAnswer: 4*sqrt(19) + 5472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -166\/17*n + 2\/17*n**2 + 480\/17.\nAnswer: 2*(n - 80)*(n - 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526510.\nAnswer: 2, 5, 37, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 1:36 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*a - 4*k + 23889, 0 = 2*k - 10. Let o = a - -8771. Round o to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7065857 weeks?\nAnswer: 427343031.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 5\/3, 0, 13\/5, -0.2 in ascending order.\nAnswer: -0.2, 0, 2\/3, 5\/3, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 391, 521, 651, 781?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 77*m + 15. Let w be y(-3). Let f be w\/(-90)*(-4225)\/2. Round f to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 12 + 5 = 0. Solve -2*k - 5 + x = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - 3236?\nAnswer: -3317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 + (8 - 10) + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 2*o + 6, -o = -3*q + 1. Let s be q\/((-6)\/16) + 10\/(-15). Suppose 6 = 2*k - 3*v, -v - s*v = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1147, -2097, -3681, -5899, -8751, -12237, -16357?\n\"Answer: -317*a**2 + a - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7*b - 75. Suppose 5*h = 135 + b. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7543, -7609, -7719, -7873, -8071, -8313?\nAnswer: -8599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83 times -0.1?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11007935 and 1197?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5929, 11587, 17245, 22903, 28561?\n\"Answer: 5658*a + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -784912, -2, -9, 1 in decreasing order.\nAnswer: 4, 2, 1, -2, -9, -784912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5\/3))**(-13)\/(n**(9\/4)*n**18*n) assuming n is positive.\nAnswer: n**(-151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.0718\nAnswer: 0.00718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**(-9)*z*z**(1\/4)*z*(z*z*(z\/(z\/(z\/z**(-1\/17))))\/z*z)\/z)**31 assuming z is positive.\nAnswer: z**(7471\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*h + 5*i - 0, -4*i - 4 = -2*h. Suppose -5 = -d, h*p - 4*d + 28 = -2*p. Let l = p - -8. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50027560, 100055119, 150082678?\nAnswer: 200110237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-45)\/(-3*(-2)\/(-4)). Suppose 2*u = 194 + m. Suppose -d - 3*d = u. Is d less than or equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -515*s - 147. Is i(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 - 8 = y, -5*y + 27 = 4*l. Let h be -89 - -1 - (2 - -3). Let t = h - -93. Solve x - y*x - 8 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 times 0.1?\nAnswer: 33.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(40\/16)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1750 (base 16) to base 4\nAnswer: -1131100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6488, -12892, -19208, -25436, -31576?\n\"Answer: 44*g**2 - 6536*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.5 + 20.8. Let q = 0.148 - 22.948. Let o = -23 - q. What is the third biggest value in -7, l, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.049 + 0.549. What is the biggest value in -0.3, 0, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/54 + 2\/(-4))*(-639)\/16188*1786. Let -8*p + 56\/3*p**2 + r*p**3 + 14\/3*p**4 + 0 = 0. What is p?\nAnswer: -6, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001351166 to 6 dps.\nAnswer: 0.001351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -1 - (10 + -9). Suppose d*q + 4 = -q. Does 4 divide ((-4)\/(-3))\/(q\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.32 + -32.32. Let i = 37 + x. Which is the second biggest value? (a) i (b) -3\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 7*g + 4. Let i = 16 - 22. Let m be k(i). Let u(y) = -y**2 + 5*y + 91. Let n be u(-7). Solve -2*z - m = -n*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2620048245?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 16*c**2 - 14*c - 1. What are the prime factors of o(6)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/362? (a) -1\/3 (b) -3 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2772 and 1\/44.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2817151 litres to millilitres.\nAnswer: 281.7151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oao when three letters picked without replacement from {a: 4, o: 8, d: 8}.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5640687 is divided by 1410128?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.59421*6.4.\nAnswer: -10.202944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 5*i + 2. Let c(h) = h. Let w(n) = 2*c(n) - x(n). Determine w(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1426 is divided by 354?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27937, 27935, 27937, 27943?\n\"Answer: 2*o**2 - 8*o + 27943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1772.9253 and 0.5.\nAnswer: -1772.4253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 10:43 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 17. Let k(h) = -3*h - 10. Let i be k(-4). Let g(j) = 11*j - 2. Let a be g(i). Calculate the greatest common divisor of a and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -487 + 168 + 30*l**2 + 159 + 160.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -18*r - 29. Calculate j(4).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22788698 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-20) - 4\/160*-18.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8507005*h*n**3 - 13*n**3 - 4*n**2 - 19455*n + 2 wrt h.\nAnswer: 8507005*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 13, 0, -29, -80, -159, -272, -425?\n\"Answer: -p**3 + p**2 + p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 271597 (base 11) to base 13\nAnswer: 11c25a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 5*i**2 - 4*i - 1. Let w = 4833 - 4839. Calculate s(w).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -4, -2, 1233861 in decreasing order.\nAnswer: 1233861, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*h = g + 1, 3*g + 5*h = 1. Let m(z) = -7*z**g + 4*z**2 - 2 - 6*z + 3*z + z. Determine m(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 419*a**3 + 2*a + 2. Let g be p(3). Let q be 2*g\/2448 + -1. Let i = q + 1\/1224. Calculate the common denominator of -17\/6 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*q**2 + 188*q**2 + 4*q - 106*q**2 - 2*q**2 + 0*q**2 + 4*q**2 + (-3 + 1 + 0)*(3*q**2 - 6*q**2 + 5*q**2).\nAnswer: 63*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i + 3*i - 2 - 2*i - 7*i. Suppose -5*r - 3*o - 32 = 0, r = -0*o + o. Let d(s) = 3 - 9 + 5 - 3*s - 2*s. Give r*d(w) + 3*j(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1634*u = -1705*u - 2485 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 66, 28, 1, -15, 3, -4 in decreasing order.\nAnswer: 66, 28, 3, 2, 1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 10*c - 2700000. Round c to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2947*f**2 - 1523*f**2 - 857*f**5 - 2191*f**2 wrt f?\nAnswer: -51420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100111100111111 - 1100001110?\nAnswer: 110100110000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932465.3 rounded to the nearest 10000?\nAnswer: 1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.83 * -0.2.\nAnswer: 0.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.70724 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 69333859\nAnswer: -1\/9904837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 268\/(-5) - 104\/(73840\/(-426))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5258 = 390*m + 247*m - 1112. Let a = -28 - -44. What is the least common multiple of m and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*b = -2*f - 4, -5*f = 3*b - 48. What is the lowest common multiple of f and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31 - -3)\/((6\/(-64))\/3). What is the common denominator of 13 and (-2544)\/r - 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8136743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.72744972285 less than -0.01?\nAnswer: -125.73744972285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.5 - 0.5. Let k be (-3 - -4)*4\/(-6). Let s = -3.72 + 1.72. Which is the second biggest value? (a) k (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13 - (-33)\/351*4\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218 - -9172779967.\nAnswer: 9172779749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502702.\nAnswer: 2, 19, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 23*s + 10. Let r be u(-17). Calculate the greatest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-110))\/(24\/20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 106.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sse when three letters picked without replacement from {e: 1, s: 2, n: 1, b: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*d = 5958, 29855 = 13*w - 8*w - 3*d. List the prime factors of w.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + -609b142?\nAnswer: -609b150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 70177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1691443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4117, 16 in decreasing order.\nAnswer: 16, 1, -4117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 9 = -13*r. Let a(u) = -u - 2. Give a(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 718810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 13. Let d be x(10). What is the highest common divisor of d and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2 + 4 - 6 - 2*r**2. Let j(c) = -3*c**2 - 3*c + 2908 - 2908 + 4*c. What is f(j(b))?\nAnswer: -18*b**4 + 12*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*k - 21, 7*r + 5*k = 4*r - 21. Let a(x) = -6*x + 9*x + x - 6*x**2 - 3 + 7*x**2 + 0*x. What is a(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -15*2\/(-6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 26. Let f be c(-23). Suppose -d - f*x + 15 = 0, -3*d - x - x = -38. Solve 3 = -3*r + d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 25*k = -1115. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9396*n + 75182. What is d(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 3. Let h(d) = -d**3 + d**2 - d + 5. Let u(f) = 2*c(f) - h(f). Let s(a) = -21*a**3 + 2*a**2 - 2*a - 2. Determine -s(o) - 2*u(o).\nAnswer: 23*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 4. Suppose -18 + 10 = -4*j. Suppose i - 5*f = 20, 0 = 5*i + 3*f + j - 18. Let y(r) = -r**3 + 6*r**2 - 4*r - 2. Let b be y(i). Give g(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 26*d - 3927. Determine g(-51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11055\/109 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1739306 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 + 3*p**2 - 4*p - 4. Let m(r) = -r**2 - 9*r + 7. Let a be m(-10). Let o be x(a). Let k(u) = u**2 + 17*u - 19. What is the tens digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = 2. Suppose 0 = -0*s - s - 1. Let k be (j + s)\/(-3) + 86. What is k rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one eighths of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2420851 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -19. What is the second biggest value in 1, -3\/7, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.942 and -3.\nAnswer: 2.826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861306910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2459, 2268, 2083, 1904, 1731, 1564, 1403?\n\"Answer: 3*o**2 - 200*o + 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1232 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*q**3 + 32*q**3 - 102*q - 51*q**3 + 108*q - 424*q**2 to k*q**2 + n*q + r*q**3 + u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12122 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430 and 203346?\nAnswer: 1016730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10628 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, a: 2, y: 9}. Give prob of sequence yay.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245575 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20918, -20933, -20950, -20969, -20990?\nAnswer: -21013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.6 + -1.6. Let a = 3 + m. Let k = 1\/29160 - 58331\/320760. What is the closest to 2 in 5, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101001110100001 - -111100?\nAnswer: 100101001111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.124 - -1.876. Suppose 0 = 9*v - 5*v + 40. Let y be (-3)\/5 - 66\/v. Sort y, -2\/9, p in ascending order.\nAnswer: -2\/9, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -30. Suppose 9*a = g*a + 6. Let x be (-12)\/((-6)\/2 - a). Solve -2*d = d + x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 565*l**2 - 15. Let q be b(-4). Let y = q - 6438. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -13 - (-42)\/96*28. Which is smaller: k or -2\/705?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 > 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**4\/24 + 7*p**3\/6 - p**2. Let r be 12\/10*20\/(-6). Does 2 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/10, 2, -3, 3, -1.06, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255823.\nAnswer: 109, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -11. Suppose 5*a + z - 86 = 0. Suppose -4*m + c + a = 0, c + 6 = -0*m + m. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202010 + -13312?\nAnswer: 3122032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 2, r: 2, p: 2, x: 4}. Give prob of picking 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10) - 0)*50\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = g - 367. Suppose m - 3*o = 4*m - 1032, m - g = o. Is m a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*500*63\/11025.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002989589 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*d**2 - 14885 - 130*d + 127*d + 14892)*(3 - 3 + 2).\nAnswer: 86*d**2 - 6*d + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 4*n**2 - 4*n - 2. Let z be j(-2). Let o(u) = 2*u**3 - 1 + 0*u**3 + u**2 - 3*u**3 - u. Is o(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1925*r + 395*r - 36998 - 45804 = 141*r for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 11090. Let w(r) = 30*r. What is y(w(t))?\nAnswer: 120*t - 11090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1723993015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/14966686 and 13\/21380980.\nAnswer: 149666860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - d - 9*d**3 + 10*d**3 - 18 - d**2 as q + t*d**3 + z*d**2 + u*d and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157664240 to the power of 1\/3, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -11913 at most -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from {e: 6, y: 1, u: 3, z: 1, n: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4 - 2. Let i = l + 1. Suppose -i*a = a - 3*n - 9, 0 = -3*a - n + 9. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75328 and -0.03.\nAnswer: 2259.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 0*m**2 + m - 2*m**2 - 30*m**4 + 36 + 32*m**4 + 8*m**3 + 32 to t*m**4 + r + s*m + j*m**2 + b*m**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/51150078 and 92\/99351?\nAnswer: 971851482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 18. Let r(y) = n + 27*y**2 - 9. Let k(h) = -246*h**2 + 32*h. Let j(c) = -23*c**2 + 3*c. Let s(l) = -32*j(l) + 3*k(l). What is s(r(z))?\nAnswer: -1458*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 0 + 0 + (-3*o + o + o)*(1 - 4 + 2) - 3*o + 4*o + o + 0 + 0 + o + 5*o + 6*o + o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.06 + 3. Let z be ((-99)\/(-264))\/((18\/8)\/3). Which is the smallest value? (a) z (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/((-1)\/(-5)). Let f = t + -2. Let b be (-10)\/(-2) - 0\/(-4). Solve f = -2*y + b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34 and -3.5.\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -7091, -2, 3\/892?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = 3*z. Suppose -p - 172 = -z*p. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398143585.\nAnswer: 5, 911, 306947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -0.04, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28183996 divided by 7045999?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 1:01 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*l**3 + 74*l**3 - 485*l**3 + 11*l**4 + 3*l**4 + l**2 + 1 + 113*l**3 as k*l**2 + g*l + w*l**3 + r*l**4 + i and give w.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 rounded to the nearest 100?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8556769709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6446 and 6?\nAnswer: 19338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.3. Let b = w - -11.3. Is b less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 872791966 + -21?\nAnswer: 872791945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 5, 1, -19, 19, 7 in decreasing order.\nAnswer: 19, 7, 5, 1, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let a(l) = -2*l**2 - 2*l - 7. Calculate n(a(f)).\nAnswer: 2*f**2 + 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231200313 + 11?\nAnswer: 231200330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -24.7. Let b = s + -12.7. Let f = b - -9. What is the third smallest value in f, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.2 and 9.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-65)\/(-50))\/(-13))\/((-2)\/(-5))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -30.2, 139.7, -3?\nAnswer: 139.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -33*r**2. Let b(h) = -574021*h**2. Give b(y(g)).\nAnswer: -625108869*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798*j**3 - 948*j + 948*j + 796*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 10164?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19352 and 252284.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6956.757 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*t - 20 = 0, -2*s + t = -t + 12. Put s, -1, 2, 5 in ascending order.\nAnswer: s, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16493713.\nAnswer: 16493713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 5 - (-1 + 360). Let x = -189 - b. Suppose 5*p - 4*u = 300, p + 2*p - u = x. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 8. Let s be y(-11). Suppose 1072 = s*t + 364. Suppose 6 = -2*n + t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2992.1 - 2535.39. Let v = 451 - o. What is v rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 541, 1231, 2209, 3481, 5053?\nAnswer: 6931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-9)\/(-6)) + -2. Let m be 15\/6*w\/85. Let t = 2172 + -2170. Which is the third smallest value? (a) t (b) m (c) -2 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b - 0*b. Let w(q) = 4*q - 6. Let a be w(b). Let n = -4 + a. Let s(k) = 2*k + 2. Give s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i**2\/5 - 244268*i\/5 - 10856 = 0. What is i?\nAnswer: -6785, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*d**2 - 160*d**2 - 184*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 7, k: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 + -207. Let o = -92.495 - v. Let r = -0.5 + o. What is r rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 + 209 = 365*i + 401*i - 873*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 + 7*u - 6. Let h be x(-8). Let l be 34\/h + 36\/(-12). Let c = 17 - l. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 24*q + 30*q)*(-3*q**2 + 4*q**2 + 0*q**2).\nAnswer: 6*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -163, -30\/13, 0.3 in decreasing order.\nAnswer: 0.3, 1\/7, -30\/13, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*k = -192, -b + 6*b - k - 240 = 0. Suppose -m - b + 231 = 2*v, 5*m + 177 = 2*v. Suppose v = 2*u + 13. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + s = 6, -3*m + 221*s = 218*s - 6. Solve -m*a - 139 = -2*h - 141, -2*h = -5*a - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971695 is divided by 2085.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23562322.\nAnswer: 2, 7, 47, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 181697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(0*b**4 - 2*b**4 + b**4) + (-4 - 15 + 7)*(3*b**4 - 6*b**4 - 7*b**4) to the form a*b + s*b**4 + x*b**2 + p + t*b**3 and give s.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 0, 16, 38, 66, 100?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4)\/((((-3)\/(-4))\/((-38)\/7144))\/(-2)).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4371 (base 9) in base 2?\nAnswer: -110010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1700.69193 and -7.\nAnswer: 1693.69193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9)*o)\/o**10)\/(o*o**(-2\/3)*o*((o\/o**(-1))\/o)\/o) assuming o is positive.\nAnswer: o**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186.75 rounded to the nearest 10?\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 32 - 4 - 48 + 11*q**3 - 18.\nAnswer: 3*q**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-48235)\/2631*2\/(-10)*3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -568677, -568628, -568579, -568530, -568481, -568432?\n\"Answer: 49*v - 568726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 227 and 170604347?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-20) + 675\/(-125).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2216311, -1, -1\/5 in ascending order.\nAnswer: -1, -1\/5, 2\/2216311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 21*n**2 - 4*n - 4. Let k be h(-1). Suppose 0 = -4*t - k + 33. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggffjgdtggjggg. Give prob of sequence jdf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:24 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -255 (b) -1\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 5, 0.3, 0.2, 16.3, 3, 143?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000554 to five decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/3 + 29*f**4\/3 + 88*f**3\/3 - 59*f**2\/3 - 136*f - 60 = 0.\nAnswer: -10, -3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-10) + 1 + 12\/(-10). Suppose n = -5*l + d + 3706, 7*d - 5*d = -2. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2392*d**3 + d**2 - 1752*d?\nAnswer: 14352*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/34*2*37. Let a(h) = h - 3. Let i be a(4). Suppose 2*v + i - y = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -3*d**5\/10 + 13*d**2. Let v(c) be the third derivative of c**4\/24 - 2*c**2. Give v(p(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2803 + 1576. What are the prime factors of w?\nAnswer: 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 4*u**2 - 5*u + 4. Let o = 5110 - 5116. What is b(o)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247090 and 39940?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922372 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**1\/c*c)**(-12\/13))**(2\/35)\/((c**(-2\/3)\/c)\/(c*c**(-2\/19))*(c**(1\/2))**(-11\/6)) assuming c is positive.\nAnswer: c**(344399\/103740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 8546.90745 to the nearest ten.\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9. Suppose 2*j + 2*j + 8 = h. List the prime factors of (7\/(-2))\/(j\/12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/3383760 and -157\/6900.\nAnswer: 16918800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/1758321 and -26\/459?\nAnswer: 29891457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) -2\/1505 (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22638 and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 244011510 + -5?\nAnswer: 244011501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 912552195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 5 - 19 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*k**3 - 33 - 20 - 31 + 86.\nAnswer: 132*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*d + 846*d**4 - 4555 + 459 + 60*d + 5218*d**4 with respect to d.\nAnswer: 24256*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -445 - -474. What is the lowest common multiple of s and ((-6 - 2)\/1)\/(-2)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.01, 0.12, -1, -2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 104055553 (base 6) to base 5\nAnswer: 434432023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 231 - 466 + 6*o + 227 + (0*o + 3*o - o)*(-3 + 2 + 3) to the form p*o + i and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54159775.\nAnswer: 5, 1087, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*a - 2*w, -5 = 2*a + 5*w - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**3 + 2*y**3 + y**3)*((0 + 0 + y)*(-3*y + y + 4*y) + 10*y**2 + 14*y**2 - 4*y**2).\nAnswer: -44*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*i**2 + 6*i**2 - 11*i**2)*(-2*i - 2*i + 2*i + (i + 1 - 1)*(2 - 5 + 4))*(-2*i - 2*i + 6*i) as k*i**2 + b*i + u + c*i**3 + n*i**4 and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/2)\/(q**(-24)*q)*q**(-1\/19)\/q**(-30) assuming q is positive.\nAnswer: q**(1955\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 130. What is the remainder when q(21) is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 4*c - 5. Let r(d) = -d**3 - 3*d**2 + 3*d + 1. Let g be r(-4). Is 15 a factor of o(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 40 = -2*h + 7*h, -32 = -4*h - 3*t. Let o(q) = h - 9 - 2*q - q**2 - 8*q. What is the units digit of o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2352724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w. Let m(d) be the first derivative of -69\/2*d**2 - 4 + 0*d. What is m(f(v))?\nAnswer: 138*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 253\/92 + -4*(-1)\/(-2). What is the closest to 2 in 0.3, o, 0, 4\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 106.6, -2\/3, -5, 0.3, -277?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 646*d**2 - 9 + 20 - 11 + 1235*d**2 as p*d + j + x*d**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34 + 265 + 0*x**2 + 672*x**4 - 3*x**2 + 3*x**2 wrt x.\nAnswer: 2688*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 0 = -0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(152)*-2*-3)\/((sqrt(32)\/sqrt(2))\/sqrt(2)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -17*y - 25 - 17*y**2 - 14*y**3 - 24*y**3 + 57*y**3 - 20*y**3. Let c be x(-16). Which is greater: -14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112181 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3545 = 64*r - 1507153 - 174408. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*r + 5 = 0, -8*r + 12*r + 6 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -151288*u**4 - 77576 wrt u?\nAnswer: -605152*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*t - 22, 4*c + 0*t = t + 19. Solve -3*j + 8*j - c = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 194 + -114. Let v = s - 75. Which is the closest to -0.2? (a) -1 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 64. Suppose x*c + 116 = 92. Let m(a) = a**3 + 7*a**2 + 5*a - 1. Let r be m(c). Calculate the highest common factor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7022093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 408 + -65. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**6 - 1\/112*a**8 + 0*a**4 - 7\/15*a**5 + 0*a**7 + 29*a**2 + 0*a**3 + 0*a + 0. Find the third derivative of q(s) wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. What is the second derivative of -k**2 + k**3 - 3*k**2 + 4*k**h + 2*k wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a week in hours?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 114009 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 17 (c) -2\/27 (d) -7 (e) 2 (f) 84 (g) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, u: 3, p: 5, o: 2}. Give prob of sequence opp.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15579 is divided by 943.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-228)\/(-15))\/(2\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 + 2*i. Let d(g) = g**2 + g. Let y = -3349 + 3355. Give y*d(z) - 3*o(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -1\/6 (b) -131 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*v - 1238 = -1241, -10*o - 5*v = -15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 14*x - 9. Let n be (2\/3)\/(13\/234). Let b be k(n). Suppose l - 16 = -b. Solve -6*a - 3*d - 3 = -4*a, 0 = 4*a - d - l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*j - 68 = 0, -54*j = -3*c - 58*j - 55 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1905 + 613 = -2*p, -2*r = -5*p - 1263. Suppose 0 = -r*h + 627*h. Solve -2*i - k + 4 = -3*k, -2*i - 5*k - 17 = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*n = -13, 2*l - 3*n = -n + 18. Which is the third smallest value? (a) 2 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrrddddrddd. Give prob of picking 2 d.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124\/7 - 1102\/63. What is the nearest to 1\/3 in 1, f, 1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/12 - x**4\/24 - x**3\/3 - 23*x**2. Let o be a(-1). Solve -o*i + 8 = 4*l, 2*l + 21 = -3*i + 6*i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 315666 - -10836. Let u(m) = -326502 + f + 317*m. Let k(h) = -2*h. Give k(u(g)).\nAnswer: -634*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39982385 by -1080605.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2. What is the remainder when (-352)\/(-20)*(-4 + (-13)\/(-2)) is divided by (k - (-13)\/2)*2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2452590 by -170.\nAnswer: -14427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**3 + 7*q**3 - 2 + 0*q**3 + q**3 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -8*y + 72 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*z + 168*z + 150 = 0. Calculate the highest common divisor of 45 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -1 (c) -5 (d) 38.48 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 100.62128 and 9.47208?\nAnswer: 91.1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20029 or 20052?\nAnswer: 20052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1231 (base 7) to base 9\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8307 and 1872?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 2*l**2 + l. Let c = 9 + -7. List the prime factors of a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 1. Let c(t) = 7*t + 3. Suppose -4*f - 3 - 10 = -3*g, -4*f - 3*g = -5. Calculate f*c(n) - 5*p(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f**2 - 2*f**2 + 4*f**2)*(2*f + 2 - 2).\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3357082831 to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s - 111. Let b be z(0). Let y = b - -77. Is y <= -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 1 + 1 + i**2 + 2*i**2 - 2*i**2 + (-2*i + 2*i - 2*i)*(2*i - i - 3*i) - 4*i**2 - 3*i**2 + 4*i**2)*(15 + 10*i - 15).\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2920029*t + 145. Let x be (-259)\/(-49) + (-18)\/14 + 1. Let v be c(x). What is v rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -986*j**2 + 2 + 5 - 1 - 1000*j**2 + 1983*j**2 + 2.\nAnswer: -3*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1740, -6739, -15092, -26793, -41836, -60215, -81924?\n\"Answer: d**3 - 1683*d**2 + 43*d - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123071, -123093, -123115?\nAnswer: -123137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-9)*114\/(-152)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (549504\/480)\/(-159)*(-40)\/66.\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/60 - a**4\/4 - a**3\/3 + 3*a**2. List the prime factors of h(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010000001 + -11?\nAnswer: -110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c = 857*c + 8713 - 64947 for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 2 n when four letters picked without replacement from {n: 4, q: 7, b: 2}.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 19312436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 20 = -c. What is the remainder when 15 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 + 36870*r + 406175 = 0 for r.\nAnswer: -11, 7385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, k: 3, z: 3, o: 1, d: 1}. Give prob of sequence gokd.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 24*b**2 - 1539*b - 39072. Calculate t(-25).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 187 + -172. What is the remainder when 343 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 328\/(-8) - (574 - 633).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30775011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.03, -4, -12\/7, 3 in decreasing order.\nAnswer: 5, 3, 0.03, -12\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38012?\nAnswer: 2, 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1129 - 1.5129. Let d = -0.6 + 2.6. Let v = d - 2.2. Put -5, v, t, 4\/9 in increasing order.\nAnswer: -5, t, v, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 123.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/110)\/(78\/195)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -0.0783 (c) 262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 267\/2*5\/45*6. Suppose -7*y + v = -23. Which is the second smallest value? (a) -5 (b) -3 (c) y (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 8*k - 3*k. Let y be (-14)\/91 + 28\/k. Suppose -2*b + 140 = x + 3*x, 64 = y*x - 2*b. Calculate the greatest common divisor of 51 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -51173423?\nAnswer: 51173411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38314343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5801 - 1485. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 4)*(5 + 2*x - 5)*(2 + 3 - 6).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + 5 + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 26492388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6565 is divided by 736?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 324, -109, 4, 9, 17 in ascending order.\nAnswer: -109, -5, 2, 4, 9, 17, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Let y(b) = -b**2 + 17*b. Let n be y(17). Suppose 121 = 2*u + c*g, -111 = -2*u - n*g + 5*g. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x - 117. Calculate o(5).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000809278 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 763668+-0.14\nAnswer: 763667.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 52 = 3*z + 9*t, 0 = 2*z + 5*t + 43. Which is the closest to -0.1? (a) -2\/7 (b) 1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/29 and 89\/1218.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4, l - 5*g + 2*g = 13. Find the common denominator of l and 68*(1\/(-2) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 66\/(-10) - 219\/(-15). Solve o*c - 76 = 34*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 189 and 949\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 240263.\nAnswer: -240268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10471813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1275539 + -1275569.99795. Let v = s + 31. Round v to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 194*y - 198*y + 12 = 2*o, 0*y + y = -229*o - 916 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/135 and ((-6)\/90)\/(324\/(-9270)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 13. Let u = 15 - t. Let g be ((-9)\/(-24))\/(u\/(-4)). Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 390617*f**2 + 617102*f wrt f.\nAnswer: 781234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138318929 to the nearest integer?\nAnswer: 11761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = 3*u, -6*u + u = 10. Let s(a) = 3*a - 11. Let n be s(k). Calculate the highest common divisor of n and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57, -65, -71, -75?\n\"Answer: h**2 - 11*h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*k - 6*k + 104 = 0, 0 = k. What is the third biggest value in n, -4, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 7*f**2 + 4*f - 1. Let z be i(-8). Suppose 0*v = -v - z. Let m = v + 34. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i - 3*r = 90, 4*r = i + 55. Let f = i + 43. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**2 - 5*k - 173. Let r(c) = -10*c**2 - 6*c - 231. Let x(i) = -4*l(i) + 3*r(i). Let m(j) = 15*j**2 + 2*j - 1. Give -4*m(h) + 3*x(h).\nAnswer: -18*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4480284 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75188?\nAnswer: 2, 18797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**3\/3 - 67*p - 3. Let n(g) be the second derivative of g**3\/3 - g. Give x(n(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 7*c**2 - 9*c + 11. Let k be d(8). Let n(h) = -k - 3 + h**2 + 2*h**3 + 3. Let r(w) = 6*w**3 + 3*w**2 - 10. What is 7*n(i) - 2*r(i)?\nAnswer: 2*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 0 (b) 39 (c) -3 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngcnnccgncc. Give prob of picking 1 g and 3 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -468 divided by 4\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*s + 4. Suppose 3*k = -s*d + 11, -3*d + 13 = -d - k. Suppose 21 + 99 = d*g - 2*h, -h = 5*g - 135. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38343.\nAnswer: 3, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:58 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/157, 5, -0.3, 3, 4 in ascending order.\nAnswer: -0.3, -6\/157, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235 - 229. Suppose -22*d = -n*d - 32. Solve 2*x + 13 = y, d*y + 3*y + x = 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**4\/24 + y**3\/6 - 4*y**2. Let g be j(-2). Suppose 0 = -5*k + 4*s - 2, -g*k + 5*s + 2 = 11. Solve 8 = k*b + 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13351563 to the nearest integer?\nAnswer: 3654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 - -213. Let n be x\/(-7)*-7 + 0. Find o such that -2\/5*o**3 + 2\/5*o + 0 - 2\/5*o**n + 2\/5*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-1 + -5*sqrt(75)\/sqrt(3))\/((sqrt(500) + -1*sqrt(500) + sqrt(500) - sqrt(500)) + (sqrt(560) + sqrt(35))\/sqrt(7)).\nAnswer: -11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 21*j - 13. Suppose -5*s = -3*o - 21 - 70, 9 = 3*o. Calculate r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-247114.77\nAnswer: -24711.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 2. Let w be u(5). Let n = 484 + -904. What is the common denominator of (-2)\/w - 1938\/n and 39\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964161.\nAnswer: 193, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 8, 2*z + 2*z - 8 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 4*c + 6. Let o(z) = 3*z - 2*z + 2*z - 60 + 3*z. Let p be o(9). Determine g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1263 - 1154. What is the second smallest value in s, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -0.5 (c) 696\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*h**2 + 1221 - 1221)*(2*h**3 + h - 2*h**2 + 2*h**2 + 1)*(1 + 0 + 0).\nAnswer: 266*h**5 + 133*h**3 + 133*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111011111 (base 2) to base 10.\nAnswer: 3551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6468352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -168*q**6\/5 + 62*q**3\/3 + 7*q**2\/2 + 3051*q. Find the second derivative of k(t) wrt t.\nAnswer: -12096*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((((i**(3\/4)*i)\/i)\/i)\/i*i))\/i**(-1\/2)*(i**(1\/6))**11 assuming i is positive.\nAnswer: i**(43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - 3*c**2 + (1 - c - 1)*(4 + c - 4) + c**2 - 4*c**2 + c**2 + 2*c**2 + 3 - 3 + 2 + 0 - c**2 - 1)*(7*c**2 - 43*c**2 - 16*c**2).\nAnswer: 260*c**4 - 52*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(-2 - 3*a + 2)*((-a - 2*a + 0*a)*(1 - 1 + a) + 193*a - 193990 + 193990 + 4*a**2) as l*a**2 + z + j*a + i*a**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10731 - 26460146545.\nAnswer: -26460157276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*p**2 + 135*p**2 + 48*p**2 to i*p**2 + r + m*p and give i.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -139. Suppose 5*n - 4 = -o, -l*n - 88*o + 20 = -83*o. Put -185, 4, n in ascending order.\nAnswer: -185, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*w + 36 = 0, u + 2076*w = 2071*w + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.1 - 23.1. Is h equal to 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/42 of a week?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n**2 - 13*n + 1. Suppose -a + 12 = -2*s, 2*s + 4 = -3*a - 0. Let d(y) = 3*y**2 - 6*y. What is s*d(t) + 2*q(t)?\nAnswer: -t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*j + 50099 + 882 = -42376. What is the remainder when j is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -1351*p + 1349*p - 3, -462 = 2*o + 42*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 201 (b) 56.9872 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-15))\/((-1)\/10). Suppose 36 = -5*u - 5*x + 1, 2 = -2*x. Let v be 7 - u*(-2)\/4. Solve -y = v*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 - 103 = -19*y. Let w(k) = -16*k + 8. Let h(s) = 5*s - 3. Calculate y*h(p) - 3*w(p).\nAnswer: -2*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125584931 is divided by 1256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - s = 6*a + 496, 5*s = 5*a + 490. Let m = a - -197\/2. Let p = 0.3 - 0.4. Put p, 0, m in decreasing order.\nAnswer: 0, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 4*c + 4*c)*(2 - 4 + 3 + 2 + 3 - 4 + 2 + 3 - 4 + (6 - 2 - 3)*(-4 + 6 - 1) + 0 - 4 + 3 + 2 + 2 - 1) as a + g*c and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 3*m - 5*f, 7671796*f = -4*m + 7671792*f - 44 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4740.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let a(q) = -q**2 + 4*q + 4. Let k(t) = -3*t - 3. Let s(d) = -3*a(d) - 4*k(d). Give s(n(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*g + 3*g - 317 = q + 258, 2*q - g = -0*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15563 - 15318. Calculate the remainder when 455 is divided by g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -847.3 - -885. Let x = 37.8 - b. Does 2\/87 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 486.\nAnswer: -91\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48755974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1535*l**3 - 190*l**3 - 114*l**3.\nAnswer: 1231*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2718223.323 rounded to the nearest one thousand?\nAnswer: -2718000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -737, -1106, -1477?\nAnswer: -1850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -1) + -53 + 61 + -30.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3 - 35*f**2\/2 + 12*f + 29. Let m be c(-12). Solve -5 = w - m*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-48))\/(3\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2 + v - 3. Let c(w) = -w**2 - 1. Let y be 0 - (0 + -2 + 1). Let u = -5250 + 5248. Give u*c(s) + y*g(s).\nAnswer: -2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-335)\/45 + 4\/9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-104)\/20)\/(-13))\/((-546)\/(-10)). Is q >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-116*i - 130*i - 5*i**3 + 184*i)*(8 + 10 - 3).\nAnswer: -75*i**3 - 930*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucuuccuiucuccu. What is prob of picking 1 u and 1 i?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 2*f + f + 2*f + 80.\nAnswer: f + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 5, -20 in descending order.\nAnswer: 5, 0, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/3410*-60*14\/(-336)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.07, -2\/9 in increasing order.\nAnswer: -2\/9, 0, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155941*u = -155943*u - 16, 0*l - 3*u = 3*l + 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2741 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-495)\/110 - (-11067)\/(-10))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -257.78721.\nAnswer: 515.57442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112\/11*w + 136 + 2\/11*w**2 = 0. Calculate w.\nAnswer: -34, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x + 428. Let v be b(24). Suppose 3*z - 92 = -v. Solve z = -10*j + j - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2787 - 17685 = 0. Let b be u\/3 + 21\/63. Suppose 5*a - b = -10. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 21*d - 109. What is p(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -9, -53 = -2*k + 4*w - 3*w. Solve -50 = k*q - 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/6563 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8072 or -1\/23?\nAnswer: -8072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*y + 74*y + 1124 = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -309, -469, -635, -807, -985, -1169?\nAnswer: -1359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01500185 + 0.015. Round j to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4201750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 3. Let y be f(3). Let a(z) = z**2 - 14*z + 19. Let c be a(13). Suppose -25*l = -5*l - 120. Solve -l = y*d + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 (base 11) in base 4?\nAnswer: -3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312515 and 1637.\nAnswer: 511587055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 + 53. Let j(t) = 10*t - 3. Is j(k) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19388 or -666?\nAnswer: -19388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + (1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*v + 20, r + 3*v - 8 = -2*v. Solve 2 + r = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12524, -50053, -112600, -200165, -312748, -450349, -612968?\nAnswer: -800605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -33\/7 (c) 0.14 (d) 1\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 41 - 13 - 21 - 508*x + 507*x + 61.\nAnswer: -x + 225","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 13*k**2 + 11*k - 5. Let a(v) = -6*v**2 - 6*v + 3. Let u(j) = 5*a(j) + 3*t(j). Find the second derivative of u(l) wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105530000 to the nearest 1000000.\nAnswer: -106000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6271, 11266, 16261?\nAnswer: 21256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11378.\nAnswer: 2, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49059902.\nAnswer: 2, 389, 63059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 24869350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*4*sqrt(170)*-6)\/((sqrt(640) + sqrt(640)*2 - sqrt(640)) + 1*sqrt(250)))**2*-6.\nAnswer: -104448\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let t be m(2). Let x(g) = -3*g**4 + 6*g**3 + 10*g**2 - 13*g - 11. Let f(z) = z**2 - z + 1. Let i(q) = t*f(q) + x(q). What is n in i(n) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.147, -3, 4 in descending order.\nAnswer: 7, 4, 0.147, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00103366166 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2, -16\/7, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 319, 262, 129, -110, -485?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6436433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61818 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12788, 25327, 37876, 50441, 63028?\nAnswer: 75643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7279 and -7288 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (203\/42 - 7) + 9 + -8.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(40))\/sqrt(72).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 334 = -349 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 13*h**2 - 4. Let q(b) = 12*b**2 - 3. Suppose -f - 36 = -10*f. Determine f*q(a) - 3*o(a).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 29850525.3 to the nearest 10000.\nAnswer: 29850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akol when four letters picked without replacement from okkkkoal?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 503.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (25 + -8 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -21*t**3 + 12*t**4 - 3*t**5 - 18 + 21*t**3 - 8*t**2 - 34*t**2 + 51*t = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2*5\/2. Let o(z) = z**3 + z**2 - z + 3. Let j be o(0). What is the second derivative of j*d**y + 3*d + 0 + 0 wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40977205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 83?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 835, 5942, 19605, 46102, 89711?\nAnswer: 154710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1936 + -2?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 6*k + 3*k)*(-6*k**3 + 10*k**3 - 2*k**3).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8717.655 milligrams in tonnes?\nAnswer: 0.000008717655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7136724 millilitres to litres.\nAnswer: 0.0007136724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (sqrt(833) - (sqrt(833) + 3*sqrt(833)*-4 + sqrt(833) + sqrt(833))) - (0 + sqrt(833) + -2 + sqrt(833)))*2)**2*-5.\nAnswer: -2015940 + 6160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, and 1 h when three letters picked without replacement from {n: 4, h: 1, f: 2, s: 2, c: 4}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 110. What is the first derivative of -12 + 32 - 3 - 11*a + o wrt a?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -65420\/16787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170447 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304841 and 22523.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**3 - 4*b**2 + 17*b + 6439 wrt b?\nAnswer: -21*b**2 - 8*b + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2939322\/30365 - 2\/6073. Let q = n + 97. Which is the nearest to 1\/3? (a) q (b) 0.3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 0*k**5 + 7*k**5 + (2*k**2 - k + k)*(2*k**3 - k**3 + k**3) + 7*k**4 + 85*k**5 - 7*k**4.\nAnswer: 93*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 32*l + 4*k + 160 = 0, 2*l = 5*k + 308. Suppose l*y + 90 = 149*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 172?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-9) + 4\/6. Let i(d) = -d**3 + 4*d**2 + 2*d. Let l be i(v). Let a be (1*-2)\/(l\/(-16)). Solve -2*h - a = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 395.81779 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1840 = -55*p - 2535 + 1350 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 13*a**2 + 0 + 12*a**2 - 5 + 3. Let l be d(-3). Let f = l + 14. Solve 0 = 3*m + n + f, 6*m + 4*n + 12 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -18, -2, 3.\nAnswer: -106, -18, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3*c**2 + 2)*(-5 + 0 - 4 - 2 - 1 + 2 + 1 + 0 + 1 + (1 + 0 - 3)*(1 + 0 + 0)) to the form k + n*c**2 + g*c and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/70 and 109\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 3) + -27 + (-47 - (-10 - 46)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 + 8*n**2 + 88*n\/5.\nAnswer: -2*n*(n - 22)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(-1)\/(18\/(-6) - -4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36813825?\nAnswer: 3, 5, 54539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 1751?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.107 + 0.107. Let o be (-1)\/(-3) + 13\/(-21). Sort g, o, 2\/3 in ascending order.\nAnswer: o, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 + 55. Suppose -x - 106 = -5*m. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z + 1 + 2*z**2 + 4*z**2 + 2 - z**3. Suppose -4*g + 26 = -2*a + 74, -4*a + 56 = 2*g. Let y = a - 11. What is u(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -30. Let k = n - -111\/5. Let a = -50 - -54. What is the second biggest value in k, -0.1, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5817144 to the power of 1\/2, to the nearest integer?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + (2 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-456))\/(8\/6)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 472. Give c(80).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3495 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19315 + 19186. Which is bigger: 2.8 or d?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -15*q + 44 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r = 3. Let f(w) = w + 5. Let j be f(r). Suppose 4*q = 2*v - v - 35, j*q + 55 = 3*v. Solve 5*l = -s - 5, 2*s - l = 5 - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x**2 - 3*x. Let a(s) = -133*s**2 - 35*s. Let r = -58 + 9. Let h(v) = r*i(v) + 4*a(v). Find the second derivative of h(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Suppose -z = -n + 176. Find the second derivative of n*x**3 + 13*x**5 - x - 180*x**3 wrt x.\nAnswer: 260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d + 2 - 2)*(-4 - 3 + 5) + 5*d + 0*d - 3*d - 2*d - 3*d + 4*d)*((-3 - 1 + 5)*(3 - 3 - 2) + 0 + 0 - 1 + 2 - 2 - 1)*(53*d - 27*d + 21*d).\nAnswer: 564*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -497.985 - -498. Put -4, 5, m, 1\/5 in increasing order.\nAnswer: -4, m, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9897\/10 - 990. What is the second biggest value in 13\/5, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 31 = 2*z, 0*n + z + 68 = 3*n. Let w be 4*3\/n*7. Suppose w*j - 3*j = 108. Does 35 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. What are the prime factors of (-34)\/8 - s\/(-24) - -656?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (942 - 949 - (-1 - -1 - (10 + -4))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(4\/15)*((y*y\/y**(1\/2)*y)\/y)**(-6\/5))\/((y*y**1)**(-41)\/(y**2)**49) assuming y is positive.\nAnswer: y**(13357\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -300*j**3 + 1272*j**2 + 81*j + 518716988.\nAnswer: -900*j**2 + 2544*j + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 + -2 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34692061616.0260059 - 34693586153.11. Let o = i + 1524537. Let c = o - -0.084. What is c rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 90 = -5*v, 2*l + 3*v - 8*v = 65. Suppose l*g - 50763 = 20762. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 4. Let m be o(7). Let a(n) = n + 1. Let q(g) = -2*g**2 - 6*g - 3. Suppose -2*i - i = -3*s - 6, 4*i + 1 = -5*s. Give m*a(h) + s*q(h).\nAnswer: 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 171 = 4*g + 159. Suppose 0 = -3*u + 4*u. Sort -3, 3, g, u in increasing order.\nAnswer: g, -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 65*p**2 - 738*p - 509. Calculate o(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331522747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p. Let b(n) = 6*n**2 + 1805*n. Calculate q(b(m)).\nAnswer: -30*m**2 - 9025*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.079 and -7.\nAnswer: -0.553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1435117\/346962 + 2\/15771. Let c = 229 + -98. Calculate the common denominator of (-4)\/64*c - -3 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.66 - 245137322780.\nAnswer: -245137322774.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18619\/6631611 - 1\/9653. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1692 and -61\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**(-3\/14))**(-18\/7) assuming q is positive.\nAnswer: q**(-27\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2*o + (-7 - o + 7)*(-4 + 3 - 1) to the form m*o + i and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 10 = 2*w. What is the highest common divisor of w and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12588\/5 - -2528. Let k = a - 374\/35. Let z = 16.93 + -17. Sort 2\/3, z, k in increasing order.\nAnswer: k, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**4\/12 + 4*o**3\/9 + 19*o**2\/6 + 14*o\/3 - 32. Suppose y(m) = 0. Calculate m.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**3\/3 + b**2 + 4*b + 10. Let c be w(-2). Does 11 divide 21 - (0\/c + (-1)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.46 + 0.459562. Round v to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 798, 807, 816, 825, 834, 843?\nAnswer: 852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 174*t + 2864. What is u(-24)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-6))\/(64\/96)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12) - 261\/(-108))\/((-2)\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11822, -11909, -11996, -12083, -12170, -12257?\n\"Answer: -87*z - 11735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26330, -54678, -83030, -111386?\n\"Answer: -2*f**2 - 28342*f + 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(75) + 4 + -1 + (sqrt(75) - -4*sqrt(75)) + 0 + 3)**2.\nAnswer: 120*sqrt(3) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**6\/1620 - s**5\/540 - s**3\/6 - s. Let i(d) be the second derivative of u(d). Determine p so that i(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -u + 19, -4*c + 7*c = 2*u + 82. Suppose -c*t + 21*t + 2631 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a**2. Let y(i) = -51*i. Calculate y(z(n)).\nAnswer: -612*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -894?\nAnswer: -1\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74915, -74922, -74929, -74936, -74943, -74950?\nAnswer: -74957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0, 8173\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**5\/20 + 5*v**4\/12 + 2*v**3\/3 + v**2 + 3*v. Is 8 a factor of p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1 + 1\/(-1). Let i be (8\/30)\/((-28)\/42). Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 26*a + 73, 0 = 12*x - 10*x + 5*a + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -114 + 106. Let h = 26 + d. Suppose 3*m + 0*m = -2*p + 123, -p = -3*m + 123. What is the remainder when m is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110100111110001000 (base 2) to base 12.\nAnswer: 1162008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783 - 1533 = -50*g - 800 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13130 and 697203.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 80788?\nAnswer: -80783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.5 - 221.5. Let h = u + 230.000452. What is h rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4455.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7098063 - 48\nAnswer: -7098111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**2 - 2 - 2*y**4 + 4\/5*y**6 - 2*y**3 + 23*y + 3\/14*y**7 + 3\/20*y**5. Solve r(l) = 0.\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2198208?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - n + 1. Let h(d) = -d**2 + d - 1. Let w(c) = 2*b(c) + 2*h(c). Let r(f) = -4*f**2. Give w(r(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 0.39269.\nAnswer: -10.60731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 6:27 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kps when three letters picked without replacement from qqssxjxpxkxk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 820 - 818. What is the thousands digit of 8743\/14*(0\/5 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 2 + (-10)\/(-3))*0. Suppose 3*a + 70 = 5*p - 161, -2*p + 4*a + 98 = o. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (1 - 0)*-5. Let j = v + 0. What is the remainder when (-330)\/75*(-14 + 9) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5)*1300\/7735)\/((-50)\/(-175))?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*x + 34*x + 6*x to the form y + j*x and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-1)\/(-5))\/((-3)\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h + 16 = 85*h. Suppose 0*m = m + 5*u - 14, -18 = -4*m - u. Are m and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*sqrt(2)*2)**2 - sqrt(2) - (sqrt(50) + 1) - 3*(sqrt(242)*-2 + sqrt(242))**2*-1).\nAnswer: -2559 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -8033.\nAnswer: -1\/8033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 7:28 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18581848 is divided by 1573.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -3 - (9 + -115 - -22 - -14).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210330123 (base 4) in base 10?\nAnswer: 675611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - r**2 + 1641*r + 1646*r - 3333*r)*(0 + 0 - r) to f*r + m*r**2 + b + u*r**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10354330 rounded to the nearest 10000?\nAnswer: -10350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 - 1.7. Suppose -6*d = 1 + 23. Which is the nearest to 2? (a) d (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 2)*(0*f**4 + 2*f**5 + 0*f**4) + 3*f**5 + 2*f**5 - f**5.\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 346796823851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152770 - 4?\nAnswer: 152766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {t: 4, p: 11, h: 4}?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 2. Let v be i(3). Let c be (v\/(-2))\/((-42)\/48). What is the biggest value in c, -3, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4220523 (base 6) to base 11.\nAnswer: -12aaa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + 8*s - 3. Suppose 13*z - 3*z - 70 = 0. Is b(z) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 6. Let d be z(1). Solve c + d = 3*c - 3*w, w = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = -2*k. Solve -2*a + k = 3*x - 6, -2*x + 15 = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -1 - 1\/4*r**4 + 3*r**3 + r - 4*r**2. Let k be o(8). Solve j + k = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 145062292 and 219.\nAnswer: 145062511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006183497621 to seven dps.\nAnswer: 0.0006183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 480109 + -145472828\/303. Let s = g - -1\/101. Which is smaller: 33 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 3, 2\/15, 0.3, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159 + 177. Calculate the greatest common divisor of 126 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + 1.95. Suppose -s = -5*b - 14, 3*b - 6 = 5*b. Let t be 27\/12*s + 2. What is the closest to t in y, -2\/5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -2. Let j be 9\/(-12) - 36\/x. Let u = j - 2. Is u != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (6 - 1) + -3. Suppose 0 = -l + 9 - 1. Suppose -l = -4*g - 0*g. Sort -4, p, g in ascending order.\nAnswer: -4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9798311 centimeters in nanometers?\nAnswer: 9798311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30830106, -30830107, -30830108, -30830109?\nAnswer: -30830110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001383499.\nAnswer: 23, 43538413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177050110 to the nearest integer?\nAnswer: 13306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -6*v**3 - 609*v**4 + 8*v**3 + 9*v**4 + 502*v**5 + 93*v**5 + 3*v**3 = 0.\nAnswer: 0, 1\/119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) - sqrt(8)\/sqrt(36)) - (-5 + sqrt(2) + -5*sqrt(32)).\nAnswer: 7 + 59*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4, -4*q + z + 4 = -5. Let d(k) = k**3. Let n be d(1). What is the third derivative of -2*c**q + n + 2*c**3 - 1 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8654, -273, -5, 4, 5 in decreasing order.\nAnswer: 8654, 5, 4, -5, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/6 - 1053*b + 3326427\/2.\nAnswer: (b - 3159)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 594, 2188, 5380, 10722, 18766, 30064, 45168?\nAnswer: 64630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 121, 5, -72, -7.\nAnswer: -72, -7, -3, 1, 5, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15845498 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 32 = 4*z, 0*z - 2*z - 22 = 4*j. Suppose 15 = -5*b, 0 = -3*q - 5*b - 16 - 5. Let n be (q + 5)*4\/6. Put n, z, 5 in increasing order.\nAnswer: z, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 35?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*b = 2 - 20, 0 = -2*b + 8. Find the second derivative of -7*o**4 - 4698*o**h + 4 + 3*o**4 + 4694*o**2 + 14*o wrt o.\nAnswer: -48*o**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - -15) - 27?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q = 7*q - 12*q - 204. Suppose -6 = -2*o + c - 0*c, 2*c = -o + 13. Solve -25 = -5*k, q*g + o*k = g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l + 3248*l**2 - 16 + 3*l + 2*l**3 - 27 - 3262*l**2 wrt l?\nAnswer: 12*l - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213849 = 47*k + 214745 - 425116 for k.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/120844376 + -4097832791447\/51842237304. Let n = 874\/11 + y. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148926927, 148926928, 148926929, 148926930, 148926931, 148926932?\nAnswer: 148926933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(18\/(-16))*40\/(-32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + y - 24 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297526700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**3 + 192*z**2 + z - 58. What is c(48)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-22)\/18)*(-199 + 190).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, q: 2}. Give prob of picking 4 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295 - -991. Calculate the lowest common multiple of 348 and p.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73 + 34*f + 73 + (-3 + 3 + 2*f - 2*f - f + f - 3*f + 3*f - 2*f + (-5 + 4 + 0)*(-3*f + 2*f + 3*f) - 6*f + 5*f + 2*f - 4*f + 4*f - f)*(2 + 0 + 2).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 55 = 2*z - 5*z, 0 = -5*z. Let r = u + 1. What is the greatest common factor of 96 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/954 + 0)\/(1395\/(-25110)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.87 + 0.13. Let j = -1.5 - -2. What is the third smallest value in j, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -966240 by 76.\nAnswer: -241560\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {s: 1, u: 6, g: 8}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -4057269*g**4\/8 - g**3\/3 + g**2. Let t be p(-3). Suppose -5*v - 9515419 + t = 0. Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 61, 93, 127, 163?\n\"Answer: l**2 + 27*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 31. Let n be 4*(1 + z\/(-4)). What is the first derivative of 2 + 28*i**2 - 12 + 6 + n wrt i?\nAnswer: 56*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 70 = -3*l. 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 the remainder when 50 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let a be n(2). Solve -4*p + 5*g + 5 = 0, -3*p = -0*g - a*g + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 0 + 10*j**3 + 0.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 3, 0, -7, -2\/9, -120, 19.\nAnswer: -120, -7, -2\/9, 0, 1\/5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/42)\/(3\/(-21)). Suppose -26*y + 24*y = -x. Solve 4*u + u + 2*q = 15, 5*u + y*q = 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g - 9. Let p be (-28)\/g - (-1)\/(-3). Let l be (30\/2 - 2) + 20\/(-5). Calculate the greatest common divisor of p and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 5, y: 8, o: 4}. What is prob of picking 1 u, 1 y, and 1 o?\nAnswer: 64\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.355904 minus -28.666?\nAnswer: 25.310096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11 = m + 10, 0 = -m - 1. Suppose -p = h - 13. Solve 5*x = -h*w + w, -x - 5*w = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(1\/2))**0*(d*d\/d**(5\/7)*d*d)\/(d\/(d*d\/(d\/(d\/(d\/d**2))))))**31)**(3\/5) assuming d is positive.\nAnswer: d**(3441\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*1\/13*(-127686)\/(-34377)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i - 3*i + 9*i + 2*i. Let l(h) = -69*h**2. What is l(r(k))?\nAnswer: -276*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*4\/(4 + -2). Let z be (-108)\/(-10) - (-8)\/(-10). Let m = z + -5. Which is bigger: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -149224*s + 149460*s + 21476 for s.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*v - 1555*v + 1505 = -896*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12016 = -z + 24016 - 12014 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 23) + (-17 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 155?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 18*v - 172. Suppose 6*u + 11 = -v. What is the smallest value in u, 0.4, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.211837 seconds?\nAnswer: 0.0000603221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 49. Let w = l - 10. Let c be 38\/w - (-2)\/(-12). Solve j - 20 = -c*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12291096 is divided by 4097022.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 2*c**2 - 22*c - 4. Let h be q(4). Suppose -m + 18*g = 19*g - 1960, 0 = -h*m + g + 7850. List the prime factors of m.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18347908.\nAnswer: 2, 31, 79, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*1\/21*2. What is the nearest to 1 in j, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186578 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(208)\/sqrt(4))**2 + 0 + -2)*5.\nAnswer: -1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 26*w + 9. Let h(t) = t**2 - 26*t - 9. Let d(n) = -3*h(n) - 2*r(n). What is the tens digit of d(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 10200?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 1, -2 in increasing order.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, j: 2, o: 3}. What is prob of sequence ouu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 6*f**2 - f + 10. Let g be k(6). Suppose 8*u - 1508 = g*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 0 + 2\/27*w**4 - 1\/30*w**5 + 0*w**2 + 1\/189*w**7 - 2\/135*w**6 - 10*w + 4\/27*w**3. Suppose f(z) = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 19*h - 8 = -15*h, -m + 13 = -2*h. Find t such that 75\/8*t**m + 21\/8*t**5 + 99\/8*t**4 - 135\/8*t**2 + 9\/2 - 12*t = 0.\nAnswer: -3, -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/148 and -37\/32?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7623 and 3465?\nAnswer: 38115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -1 - (25 + -32)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -2\/13, 10, 0.2, 59, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -330\/7 in -21.5, 5, -0.4, 2?\nAnswer: -21.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 8454 and -4.22.\nAnswer: 8449.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -12 - (7 - 20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-75)*(-2)\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/127 in -29, 812, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 1. Let v(j) = 9*j**2 + j - 2. Give -5*b(s) - v(s).\nAnswer: -4*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/732 and -93\/72712.\nAnswer: 218136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*8\/(-252) - (280111\/(-8736) - -32)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -20, -0.3, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*z**2 + 39*z - 11.\nAnswer: 2*z**2 + 39*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k - 304 = -115 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 = -28. Let s be m\/10 - 9\/(-60). What is the biggest value in s, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 4*v + 5. Suppose 5*f - 5*q + 1 = 26, -4*f = -3*q - 16. Suppose -5*x - 21 + f = 0. What is m(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 40 = 2*k. Let x = 2 + -6. Let i(a) = -2*a + 4. What is the lowest common multiple of i(x) and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + w + 6 = 0, -4*m + 2*w - 12 = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*p - 3 = -31, -2*k = -p - 12. Let f(s) = -3*s - 14. Let l be f(-6). Suppose l*q + 5*b = 0, q + 3*b + 17 = 6*b. Sort k, q, -4.\nAnswer: q, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2666 divided by 43?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 1. Let x be y(-7). Suppose -21*a - 159 = -x*a. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/111, 1\/31, 21, 0.1, 0.02 in descending order.\nAnswer: 21, 0.1, 1\/31, 0.02, 2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -133. Let q = -9167 + 9184. Calculate the highest common factor of q and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 - 4.4. Is s greater than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*r = 76, r = -4*s + 165832 - 165772 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 47*y + 167, 3*j + 17 = -129*y + 132*y + 50 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 5*q + 30 = -k, 5*q - 5*k + 25 = 0. Which is the nearest to 1? (a) -2\/11 (b) q (c) 37 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1454127415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Suppose 1377 + 1197 = 429*i. What is the second smallest value in -1\/5, -1, m, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l. Suppose l = b + 3. Sort 3, b, -5 in increasing order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2\/2 - 10983960*c - 12064737728160.\nAnswer: -5*(c + 2196792)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -122*n**2. Let h(p) = 4*p**2 + 0 + 12 - 6 - 6. Determine y(h(d)).\nAnswer: -1952*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7500976 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -8*g**2 + 78*g + 16. Suppose 7*c + 26*c + 18*c = 510. What is b(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -660289491, -1320578980, -1980868469?\n\"Answer: -660289489*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21817089 + -13857089. Round y to the nearest one hundred thousand.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = -4*z. Solve -1 = -z*w + 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*f - 0*f - 20, 5*t = -f - 18. Suppose -3*q - f*g + 4 = 0, 5*q - 3 = -3*g + 4. Let n = 10 - q. What is the lowest common multiple of n and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 2212030?\nAnswer: -2212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 634 - 1184 + 548 - 27*g. Let p(b) = 595*b + 45. Determine 45*n(k) + 2*p(k).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/30 and -19\/111148035?\nAnswer: 222296070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (273543\/(-32) - -2) + -3 + -1. Let v = k - -8551. Find the common denominator of v and -25\/36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1948a3 + 601?\nAnswer: -1942a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 2\/17 (b) -327 (c) -2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 7*c)*((-4*c + 0*c + 3*c)*(-7 - 1 + 2) - 6*c + 2*c + 2*c).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400787 divided by -6793.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 31*d + 60. Let q be t(33). Let s(c) = -c**2 - 7*c - 4. Calculate s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -4, -21\/265?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 6, -68, 3, -2 in increasing order.\nAnswer: -68, -12, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (5 - 7)) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*k + 2*l, 0 = -0*l + 4*l - 12. Let s = 7 + k. Suppose 3*h = 2*p - 17, p + 19 = 2*p - s*h. Solve p + 1 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -463 - -705. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28*((-70)\/(-4) + (4 - 0)). Calculate the greatest common divisor of 129 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 6:15 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1387368*m**3 + 7*m**2 + 6621757*m - 1?\nAnswer: -8324208*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3492.9 from 0.99104.\nAnswer: 3493.89104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.122*-0.874423.\nAnswer: -0.106679606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g, 717 = 2*l - 5*g - 548. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-210)\/(-66) + 84\/22. Suppose 16 = n*z, z = -5*s - 1859 + 8078. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*w**4 + 115*w wrt w?\nAnswer: -888*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -58 - 2\/3*h**3 - 7\/2*h**2 - 5*h. Determine x(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 32*k**2 - 4*k - 13. What are the prime factors of i(-3)?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 4, t: 6}. Give prob of picking 1 e and 1 t.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61990?\nAnswer: 2, 5, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965?\nAnswer: 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 246 + -246.5. Let s = 1 + -1. What is the smallest value in s, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -4\/9 (b) -0.1 (c) 0.3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n**4 - 19871984*n**3\/3 - 114261697*n**2\/9 + 3277436*n\/3 - 206996\/9 = 0. Calculate n.\nAnswer: -103498, -2, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*t + 2*t**2 + 329*t**3 - 209*t**3 + 41*t + 32*t in the form u*t**3 + g + x*t**2 + q*t and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10018*j*q**3 - 4*j*q**2 - j*q - 3845*j - 4*q**4 - 11*q wrt q?\nAnswer: 60108*j*q - 8*j - 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -6*l - 48. Let a be -5 - (1\/3)\/(1\/l). What is the nearest to 2\/3 in -1, a, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 7*q + 237. Let y be v(-13). Suppose 5*c + 2*z = -0*c - 598, -355 = 3*c + 5*z. Let i = c + y. List the prime factors of i.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l + 7 - 657 = -50 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**4 + 2*b**4 - b**4)*(-2 + 1 + 3) - 23*b**3 + 20*b**3 + 0*b**4 + b**4.\nAnswer: -3*b**4 - 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 201257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n + 4*m = -11, n = 2*m + 13. Suppose -3*d + 97 = n*k, 3*d - 88 = -4*k - 2*d. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*q = 28, g - 4*q + 155 = 189 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**3 - 2*t**2 + 344*t + 1446. Determine u(-7).\nAnswer: 1341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*140\/168.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5 - 11024*w**4\/3 - 5059256*w**3\/3 - 26754076*w**2\/3 - 38359810*w\/3 - 3333724 = 0.\nAnswer: -991, -841, -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9226967 = 9226969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452037?\nAnswer: 3, 53, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 38 = -19 + 43. Determine f so that -8\/7*f - 20\/7*f**v - 16\/7*f**3 - 4\/7*f**4 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4*n - 4. Let i be j(2). Let h = -1 + 0. Find the common denominator of h\/i + 14\/24 and 81\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*z**3 - 362*z**3 + 20*z**3 + 68*z**3.\nAnswer: -197*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 15 - -2)*(-4)\/(-20). Solve z*a = -0*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382394515 divided by -76478903?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12412 (b) 1\/32 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/12 - (-5)\/(-60). Calculate the remainder when 28 is divided by 301\/(-43) + (19 - l).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-312)*-9*32*(-4)\/6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 181*k + 171*k - 510*k + 1 - 25*k**2 + 182*k. Let g be a(24). Solve -2*w - g = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 50*s**2 + 38*s - 416. Calculate b(-49).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/1 + 4)\/2. Suppose 18 = y + 4*y - i, -y - 5*i - 12 = h. Solve p - 2 = -4*m, -p + 2*m = -y*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**2 + 5*s + 4. What is the tens digit of v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244.00000156 + -244. What is w rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a - 180*a - 10*a.\nAnswer: -161*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2\/11 (c) 45.94 (d) -28\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 15*t**4 - 2*t**3 + 23*t + 2. Let v(q) = -30*q**4 + 5*q**3 - 47*q - 5. Let w(f) = -5*j(f) - 2*v(f). What is the second derivative of w(s) wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g + 2*g + 2*t, -4*t + 14 = 3*g. Let f(h) = -2299*h + 2299*h + h**2 + h**g. Let b(m) = -13*m**2. Determine b(f(k)).\nAnswer: -52*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 16*b**2 - 20*b - 234. What is the least common multiple of 216 and y(18)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 6*m - 3. Let d be j(4). Solve -w = 0, -d*r - w - 14 = 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*j = 62, -b = -3*j - 0*j - 31. Let o = b - 45. Is (-2)\/(-7) + (-6562)\/o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4433 (b) 0.5 (c) 4 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 times 1405480?\nAnswer: -306394640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*b + 18 = 0, 5*b + 25 = -27*l + 31*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 1104718544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16871 - 1671. Does 76 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 23*l - 2. Let x be z(2). Suppose -154 = -5*a + b, -107 = -5*a + 4*b + x. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0288 - 0.1288. Let k(t) = t. Let i be k(3). Put i, -4, h in increasing order.\nAnswer: -4, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 166*s + 581. Let n be w(-3). Calculate the greatest common factor of n and 2241.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -208908040934.99997999 + 208908042622. Let c = d + -1687. Round c to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -144.71 - -148.41. Sort -5, -11, y, -2\/7.\nAnswer: -11, -5, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 7*b**5\/20 - b**3\/6 - b**2\/2 - 7*b - 35. Let w(f) = f - 5. Let v be w(7). What is the tens digit of u(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose 2*h + 2*t - 32 = 0, 0 = 5*h + t - r*t - 62. Suppose -h*f = -12*f - 7. What is the remainder when 26 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 10*v**2 - 6*v + 3. What is the units digit of f(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 565541.9ml?\nAnswer: 565.5419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -0.44 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-130))\/(4*(-1)\/16).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -675*k**2*v**2 + 11*k**2 + 104*k*v**2*x + 3472*k*v*x - 2188*k*x - 362*v**2*x wrt v.\nAnswer: -1350*k**2 + 208*k*x - 724*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244387.322 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 37 - 48 + 10 + 2*w - 24 + 21 to i + j*w**2 + t*w and give i.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1044, -1047, -1052, -1059, -1068, -1079, -1092?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18065.475 + -18064. What is b rounded to 2 dps?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 13*x - 11 = 0. Let l be x\/(22\/(-180)) + 0. Let v be 24\/(-56) - l\/14. Sort 0, 2, v in descending order.\nAnswer: v, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.96 times 0.3\nAnswer: -4.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -21703?\nAnswer: 21702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10738\/19 - 564. Solve -g*j + 8\/19 - 6\/19*j**2 = 0 for j.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven fifths of a meter?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2719, -1.4, -1\/3?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2\/5 (c) 10.1438\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12848 and 1129392?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - y - 88, -4*m - 4*y - 82 + 18 = 0. List the prime factors of (-2)\/(-9) + (-860)\/m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:22 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 27 + -22 + (-1)\/1. Solve t*h - 18 = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from {s: 1, m: 2, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 6, -4*q - 12 = -4*c + 4. Suppose -z = -c - 3. Suppose -80 = 3*y - 7*y. Calculate the least common multiple of y and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4.39557 (c) -1\/5 (d) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*j**5 + 8*j**2 + 4?\nAnswer: 4620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11269\/3 or 0.9529?\nAnswer: -11269\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3)*16*(-3)\/(-5). Factor -48\/5*s**2 - 2\/5*s**4 - v*s - 16\/5*s**3 - 32\/5.\nAnswer: -2*(s + 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 (base 12) in base 7?\nAnswer: 3262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r + 27. Determine b(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = 0. Suppose 4*u - 5*u + 4 = r. Suppose -3*h - 2 + 31 = q, -q - 41 = -u*h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 154246904?\nAnswer: 1542469040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + -11. Which is bigger: -41 or j?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*v + 98 = 98. Solve 305*b - 302*b + 18 = v for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2102*b**5 + 20*b**2 - 322777*b?\nAnswer: 42040*b**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - z - 8 = 49, 5*n - 5*z - 135 = 0. What is the third derivative of n*a + 214*a - 30*a**4 - 2*a**3 - 56*a + 0*a**2 - a**2 wrt a?\nAnswer: -720*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.75285 years to millennia.\nAnswer: 0.00275285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 23 - 11 - 2*d + 10*d**2 + d**2 + 2*d**2 - 4*d**2 + (4*d + 0*d - 2*d)*(4*d - 4*d + d) to the form w*d + n*d**2 + t and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 527. Let x = d - 334. Find the third derivative of 3*t**3 + x*t**2 - 7*t**3 - 128*t**2 - 12*t**3 wrt t.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3425351 (base 7) in base 14?\nAnswer: -b17d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2720 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4352, 8198, 11328, 13742?\n\"Answer: -358*m**2 + 4920*m - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from dfddkjjdfjdddddkkd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 6, g: 2, f: 7, q: 2}. Give prob of sequence qfg.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 + g - 1. Let x(w) = w**3 - 5*w**2 - 7*w + 8. Let a(i) = 3*i - 15. Let n be a(7). Let v be x(n). Calculate m(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -90. Let n = 3 + i. Let c = n + -29. Calculate the lowest common multiple of c and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488 by -244.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2431*l**2 - 38*l + 217759.\nAnswer: 4862*l - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5) + -5 + -5)**2.\nAnswer: -20*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, q: 3, v: 3, r: 2, c: 1, t: 2}. Give prob of picking 2 q, 1 r, and 1 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/((-77)\/(-72)) - 2 and 87\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6267888kg to grams.\nAnswer: 626.7888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**21\/y))\/y)\/y)\/(y\/y**13*y) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 60244458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2\/3*q**3 - 4*q - 3\/2*q**2 - 1. Suppose 5*d = -3*m, 0 = m - 0*m + 5. Give x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/11, 3, 3\/4, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1580\/1555419 or -1?\nAnswer: 1580\/1555419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 2*z = -14, z + 2 = -2*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*x - 8 = 0, -2*l + 5*x = -18 + 5. Let o be (-42)\/(-4) - 2\/4. Let g = o + l. Solve g*v = -0 - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293290463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 2. Let q = -4 + 1. Let x = q + 2.9. What is the biggest value in s, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -z - 2*z + 17, 4*v - 37 = z. Calculate the remainder when 14 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*d + 39, 16*t + 1086*d - 1087*d = 23*t + 81 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12492*f**3 - f**2 + 20*f - 21. List the prime factors of m(1).\nAnswer: 2, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5054035, -5054043, -5054053, -5054065, -5054079?\nAnswer: -5054095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303060791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/9)\/u*u)**23\/(u*u**(2\/3))**(-20)*((u*u\/u**(-3))\/(u**4\/u))\/((((u\/(u*u*u**(1\/3))*u)\/u)\/u)\/u)**(-33) assuming u is positive.\nAnswer: u**(-626\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15664558*w**2 + 9563489?\nAnswer: -31329116*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13081 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 57. Let g = -2985 - -2984.84. Sort g, -3\/2, a.\nAnswer: -3\/2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, 4, 7, 10, 13?\n\"Answer: 3*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 3*d**2\/2 + 5*d - 6. What is the remainder when i(8) is divided by (-3)\/(12\/(-10) + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218 and 401793402.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s - 3*s - 82782*s**2 + 185*s**4 + 43022*s**2 + 42998*s**2 wrt s.\nAnswer: 4440*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/570 - z**4\/228 - 2*z**3\/57 + 26*z**2. Suppose x(m) = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*l = -7*l - 23, -5*l - 26 = y. Let w be 25\/5*y*(-18)\/15. Solve 12 = w*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136215907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-45)*(-273)\/26 + (-12)\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83894177.42 - 83894112.420001348. Let u = i + -65. What is u rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168712023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5 - 15. Let r = -5 - j. Is ((-7)\/(-3))\/(r\/(-18)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 + 124. Let h be -10*((-22)\/5 + 0). Let i = a - h. Let w(c) = -c**3 - 9*c**2 - 9*c - 3. Calculate w(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((22 + 17 - 29)*(-1 - 2 + 10) - 4 - 1 + 4)*(-o + 2*o - 2*o) to n*o + p and give n.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -14 + 64. Suppose 2*v - v + y = 0, j = -3*v - y. Sort v, -1, 2 in increasing order.\nAnswer: v, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 20) + 4 - (-5 + 13)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2339 by -5.\nAnswer: -2339\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.22 - 4.4. Round u to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177.7 + 177.622. What is w rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 360*h + 81. Let j(x) = -9*x - 2. Give -81*j(b) - 2*k(b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42541436.\nAnswer: 2, 7, 41, 37057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 51904?\nAnswer: 51904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30666376199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Suppose 8*q - 11*q + 6 = 2*s, -q - 5*s - 11 = 0. Let o(r) be the second derivative of 0 + 7*r + 0*r**3 + 0*r**2 + 1\/12*r**q. Give m(o(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -71*j - 30*j + 27*j - 76*j + 31*j. Let u(s) = -1. Let y(v) = -2*v - 4. Let d(o) = -4*u(o) + y(o). Determine z(d(c)).\nAnswer: 238*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 less than 0.5?\nAnswer: -382.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.1, 0, 884, 2\/7, -0.7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/17 - 314*o + 22379824\/17.\nAnswer: -2*(o - 2267)*(o + 4936)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -59583, -59524, -59359, -59034, -58495?\n\"Answer: 9*i**3 - i**2 - i - 59590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 280?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2052586 is divided by 40.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -1.64?\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26617112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(1*sqrt(7)) + 1.\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let n be (0 + u)*4\/(-1). Let v = n - 2. Calculate the highest common divisor of 14 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*q + 38*q - 3*q**2 - 23*q)*(-3 - 2*q + 3) to the form w + f*q**2 + g*q + s*q**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42494 = -5*d + 2*t, -36*t + 39*t - 9 = 0. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = -29*o + 6. Let f(w) = -2*w - 6. Let c be f(-4). Suppose 3*q - o*v - 186 = 0, 30 = c*q - 4*v - 102. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/14 and -61\/40716?\nAnswer: 285012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -25. Which is greater: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 501812103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x - 10 - 1 - 63*x + 5 + 18*x to i + a*x and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67515 + 67515.051747. Let f = y + -0.0513. What is f rounded to 5 decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7594 and 2728?\nAnswer: 10358216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97.3 + 97.3. Let x = -3 + 5. What is the nearest to a in 1\/4, x, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 62 = 2*p. Let w = 38258 + -38252. Calculate the remainder when p is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(200) + (5 + sqrt(200))*-1 + -4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-77) + (-49)\/(-154))*(-2)\/(18\/(-27)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.5 (c) -9643\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w + 435 = 120. Let k(o) = 5*o - 3. Let q(z) = -4*z + 4. What is w*q(p) + 6*k(p)?\nAnswer: 10*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318908369*d**2*w - 1597*d*w - 24*d - 22*w - 2 wrt d?\nAnswer: 637816738*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 58 = -3*v, b + 13 = -3*v + 87. Calculate the remainder when 95 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 5 + -5 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -158*l*z**2 + 15069*z**2 wrt l.\nAnswer: -158*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 13*b - 14. Let c be z(-14). Suppose c = 2*i + i. Suppose i = -w - 3*w - 124. What is w rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1090*a + 1. Let z(y) = -5438*y - 6. What is -11*f(w) - 2*z(w)?\nAnswer: -1114*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-200)\/16)\/((-2)\/4). Let k be (-54)\/10 - (-10)\/s. Let o be (-17)\/k + 2\/(-5). Solve o*z = z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aagg when four letters picked without replacement from {g: 6, a: 13}.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 5:31 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 3*p - 2*x + 10, -6 = 2*p + 3*x. Which is smaller: -1\/15 or p?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -85\/4 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473472 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8650068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 707534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16874 = 981*q + 31195 for q.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4065252 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121720?\nAnswer: 2, 5, 29, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by (494675\/94)\/(-25)*(-4)\/2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + -5 + -2 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16*g**2. Let a(p) be the first derivative of -12 + 0*p**2 + 14*p - 1\/6*p**3. Let i(k) be the first derivative of a(k). Determine b(i(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-45) + 1591795\/(-260775)*19?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37 and 1270765.\nAnswer: 1270765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -303142909 at least -303142910?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/((-3)\/10))\/2. Suppose 2*r = 4*r - 5*k - 12, 0 = h*r - 4*k - 13. Let d = 83 + -82. What is the greatest common divisor of r and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 628696 and 3062244?\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2227 divided by -17?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkg when three letters picked without replacement from {l: 2, x: 1, n: 2, g: 3, k: 2, e: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0317 - 0.040219. Round c to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nppm. What is prob of sequence mpp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277 - 277. Is 30\/(-285) + (d - (-20655)\/19) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22236 is divided by 3175.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*q - 218 = q, 4*q = -2*w + 182. Let u = w - 95. Suppose 4*m = 2*n - 0*m + u, 2*n = 5*m - 7. Solve z = 2*z + n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1637.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**2 - 1\/6*x**3 - 30*x - 88\/3.\nAnswer: -(x + 2)**2*(x + 44)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70557 and 30?\nAnswer: 705570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:58 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*g**3*u*y + a*g*y - 3*a*u*y + a - 39*g**3*u*y + 7*g**3*u - 118*g**2*u*y + 3*u*y wrt g.\nAnswer: 18*a*u*y - 234*u*y + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80345*m + 45668*m - 79573*m.\nAnswer: -114250*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/7 + 6\/(-2). Let s = -1 - l. Suppose -5*n - s*d + 95 = 0, 2*d - 61 = -n - 2*n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066147 is divided by 96921.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0, 2\/5, -0.2, 66\/47 in descending order.\nAnswer: 66\/47, 2\/5, 2\/13, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26)\/(-12))\/1 - 11\/11. What is the third smallest value in 0.5, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10778110 and 39\/308.\nAnswer: 237118420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h + 6 = -87. Does 66 divide h\/45*6 + 4944\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -9*s + 84. What is w(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 348511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 68 = -3*h, -85 = -6*h + 2*h - 3*q. What is the third derivative of h*t**5 + 4*t**2 - 35*t**5 - 2*t**2 wrt t?\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 22544 - 31888 = 0. Suppose -o = -141*x + 129*x. What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.14 and -157918.814.\nAnswer: -157918.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.753 + -0.113. Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + v**4\/8 - 2*v**3\/3 - 15*v**2. Give a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/4 - b**3\/3 - b**2\/2 + 2*b + 10. Let m(u) = -u**3 + u**2 - 2. Let y be m(0). Determine f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:02 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(1\/3)))\/(m**10\/m)*(((((m*m**(2\/23)*m)\/m)\/m*m)\/m)\/m*m)\/m**(-2\/7))**(-13) assuming m is positive.\nAnswer: m**(49985\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4, y - 212 = -2*i - 0*y. Let s = i + -310\/3. Suppose -6 + 4*r - s*r**2 = 0. Calculate r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6645*p**4 + 143*p**3 + 4*p**2 + 130554*p - 44 wrt p.\nAnswer: 79740*p**2 + 858*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 849161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99176 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 16 - 65. Let b = z + -26. Is 5 a factor of -1*(b + 3 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q + 255342 = 255531 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2532, -2483, -2394, -2259, -2072?\n\"Answer: v**3 + 14*v**2 - 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + -4 + 4 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13582.2 + 13582. What is the fifth smallest value in -147, n, 1\/4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84948519473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10258.0005723 - -10258. Round x to 5 decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 - 50. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*d**5\/7 + 120*d**4\/7 - 144*d**3\/7 + 32*d**2\/7.\nAnswer: 4*d**2*(d + 2)*(5*d - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/5 + 0). Let g(u) be the third derivative of -u**5\/60 - u**4\/6 + 5*u**3\/6 + 6*u**2 + 19*u. What is g(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6452\/4025 + 37\/23. Let p = v - -331\/3325. Put 0.3, 0.1, p, -1 in increasing order.\nAnswer: -1, 0.1, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**3 + 59*c**3 - 18*c**3 - 12*c**3 - 14*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.7 (c) 2\/9 (d) 3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 736847 to the power of 1\/2, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose -3*j + i = -20. Solve -h + 5*p = 16 - 3, j = -2*h + p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 + 0.17. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let s(l) = -58*l**3 - 3*l**2 - 103. Let g(y) = y**2 + 1. Let a(q) = 3*g(q) + s(q). Let f(i) be the first derivative of a(i). Calculate w(f(h)).\nAnswer: -348*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/189, 7, -4, 1\/4, 211, 2.\nAnswer: -4, 2\/189, 1\/4, 2, 7, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 384413723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 + 2149*s - 2208*s + 144*s.\nAnswer: -10*s**2 + 85*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 - 10 = 0. Let y be f - 18528 - 10\/2. Let a = -12735 - y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - g)*(-15*g**4 + 13*g**2 - 13*g**2) + (g**2 - 3*g**2 + 3*g**2)*(-g**3 + 0*g**2 + 0*g**2).\nAnswer: 14*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hssssshssmshhshsmsss. What is prob of picking 1 s and 1 m?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88072133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 454 and 18.\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72334580*c + 81758238*c - 34514680*c.\nAnswer: 119578138*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3576*x**3 + 1201*x**3 + 1198*x**3 + 1195*x**3.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-2) + 13\/(1456\/(-256)))\/1. Which is the third smallest value? (a) 24 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 7 + 2 + 0*m + 11*m)*(4*m + 31*m**2 - 9*m - 9*m) as y*m**2 + c + s*m + d*m**3 and give d.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 - (4 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2161592688.2 to the nearest 100000.\nAnswer: 2161600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 8 + 6. Calculate the highest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/8, 0.3, -53, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11002 (base 5) to base 14\nAnswer: 3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203015.\nAnswer: 5, 19, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 14*i + 36. Let s be p(11). Let d(k) = -k**3 + 3*k**2 - 3*k - 2. What is d(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(2*y - 2 + 2) - 2*y + 0 + 0 + 0*y + 2*y - y + 4*y + 23 - 23)*(-2*y**4 + 2*y**2 - 2*y**2).\nAnswer: -14*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 145991 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (434566\/11)\/((-4)\/(-78)). Let s = 400367 - c. Round s to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/33 and 21\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/15))\/(s**6\/s*s*s*s))\/((s*(s\/s**(-1))\/s)\/s*s\/(s*s**(2\/9)*s)) assuming s is positive.\nAnswer: s**(-311\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/42*-6*(-12)\/(-18). Sort 0.07, s, 4\/5, -0.1 in increasing order.\nAnswer: s, -0.1, 0.07, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**12\/a)\/(a\/(a\/((a*((a*a**(-5)*a)\/a)\/a)\/a*a)*a))*(a*a**(1\/3)\/a)\/(a*a**(-14)*a*a) assuming a is positive.\nAnswer: a**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/3 (b) -4 (c) 1.5 (d) 1 (e) -20941 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -227.74 + 226.74. Which is the nearest to z? (a) -4 (b) -0.5 (c) 154 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3. Let y(g) = -6*g - 60. Let x(a) = 15*b(a) + y(a). What is x(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10382 + -10381. What is the nearest to 0 in a, 0, 0.2, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvkeevevene. What is prob of sequence nxk?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/28 and (-142)\/355 + ((-3147)\/(-1980) - 2).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 5512661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5057 <= -5055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.63 - -0.53. Which is greater: -44 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 3, 1 in descending order.\nAnswer: 3, 1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -17 - (16 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a. Let t(q) = -q - 13179. Determine b(t(o)).\nAnswer: -11*o - 144969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 21*x**2 - 5563*x + 11061. Give k(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1294 and 1?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05242 and -83.13.\nAnswer: 4.3576746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 25*v - 1 - 4*v**2 + 13*v**3 + 9*v**2 - 27*v to the form l + b*v**2 + t*v + p*v**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhikk. Give prob of sequence hm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 317265909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2 + 3*o**2 - o**3 - o + 0*o**3 - 9*o**2. Let l be w(-6). Find the third derivative of 27*q**2 - 3*q**l - 8*q**2 - 3*q**4 wrt q.\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3)*2\/(-6). Let b be (-4*(-9)\/48)\/(1 + -4). What is the nearest to b in c, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p + 45 = 0. Suppose 3*g + 15 = 5*c, 0*g = -3*g - p. Solve 4 = 2*v - 2*f + 2, c = v + 5*f - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -29*y. Let u(q) = -5*q**2 - q. Give u(r(b)).\nAnswer: -4205*b**2 + 29*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 525812413 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -55\/2, -6\/5.\nAnswer: -55\/2, -2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4809 - 4776. Is v < -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81443748 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5 = -17 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (3 - 4))\/(-1). Suppose -n - 5 + 1 = i. What is the second smallest value in 2\/7, 3, n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6420100511 to the nearest integer?\nAnswer: 80126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = t + 20, -3*g = -t - 3*t + 5. Suppose 3*o + 3*j = -j + 52, 4*j - 76 = -t*o. Let a = 12 - 7. Calculate the remainder when o is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 25*q**2 + 43*q**3 - 6*q**3 + 1 + 20*q**2. What is z(-1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 times 37.8\nAnswer: -98.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*f + 5 = 4, -3*c + f = -7. Suppose c*b = 7 + 53. Suppose -2*q - 3*q = -b. What is the highest common factor of 42 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043029.\nAnswer: 13, 80233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-3))\/(6\/153) and (-18 + (0 - -1))\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272033148 is divided by 45338857.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 2*y + 10. Let u(j) = j**2 - 2*j + 9. Give -4*h(n) + 3*u(n).\nAnswer: -n**2 + 2*n - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, -2\/13, -5, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-798)\/4 - 4\/(-8). Let n = -115 - j. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhwl when four letters picked without replacement from llhwwllhh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221102112102 - -11?\nAnswer: 221102112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/108)\/(-2 + 2 + -2)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-51 + 36) - (2 + -8 - (2 + 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -237, -948, -2133, -3792, -5925?\n\"Answer: -237*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.7. Let o = k - -3. Let v = -0.1 - -0.3. Which is the closest to -1? (a) v (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1656*m = 1651*m + 16235. Calculate the remainder when m is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3602, 7149, 10546, 13739, 16674, 19297, 21554?\nAnswer: 23391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2000 - -3199. What are the prime factors of u?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -927 divided by 2.\nAnswer: -927\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -34.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883027609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/3097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - c - 1 - 6*c**3 + 10*c**3 + 7*c**3 to the form h*c + k*c**2 + t + q*c**3 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**2 - 4*b**2 - 14*b - 8*b + 22*b. Let j(r) = 25*r**2. What is v(j(o))?\nAnswer: 625*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**4\/8 + 2*v**3\/3 + v**2. Let b(i) = 4*i - 5. Let f(h) = -4*b(h) - 5*r(h). Let u(y) = y**2. Calculate u(f(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 124573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/60 - 17*g**5\/30 + 3*g**4\/2 + 2*g**2 - 1446*g. Factor o(v).\nAnswer: -2*v*(v - 1)*(v + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10030 (base 4) to base 15.\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/16 of a day?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197243743749402 + 197243953481807.0000212. Let r = -209732512 + y. Let p = 107 + r. Round p to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5 + 234*t**4\/5 - 1150*t**3 + 33942*t**2\/5 - 65396*t\/5 + 7392 = 0.\nAnswer: -40, 1, 2, 33\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.61.\nAnswer: -2.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 3*m - 5. Suppose 32*g + 25020 = 8956. Let k = g + 497. What is r(k)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212 and (2\/(-3))\/(15538\/(-408) + 38)?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2216 and 17728?\nAnswer: 17728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152833350 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1391 and 5629.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 284 = -7*c. Suppose -2*x + 39 = 3*a - 77, -c = -2*a + 5*x. What is the greatest common divisor of 57 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b - 1. Let x be 1 - -1 - -2*1. Suppose -x*k = -6*k - 14. Let q = 6 + k. Determine h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -2\/15, 206, 0.5 in decreasing order.\nAnswer: 206, 0.5, -2\/15, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(11)*4)**2 - (sqrt(539) - (sqrt(539) + 3*sqrt(539) + sqrt(539) + sqrt(539))))*-3.\nAnswer: -540 - 57*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -106 + -1*(-3 - -4). Suppose -58*l + 15 - 15 = 0. Which is smaller: y or l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 3. Let a be c(-19). What is the common denominator of -28\/45 and 3\/(-135)*-95*(-6)\/a?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 36*o**2 - 1. Let c be g(-1). Suppose 0*p + c = 5*p. Suppose 0 = 2*a - 9 - 1. Calculate the smallest common multiple of a and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2079058 (base 11) to base 7\nAnswer: -43042464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d. Let i = -115 + 148. Let m be (1 - 0)*(3 + -1). Let q(r) = -19*r**2 - 12*r**2 + i*r**m. Give q(o(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**2\/m)*m)\/m**(-1\/3)*(m*m\/(m\/(m*m**(-1))))**(14\/9))\/((m**(-1\/2))**(-23)*m**(1\/3)\/(m*m*m**(-1\/15))) assuming m is positive.\nAnswer: m**(-721\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23958)\/7260)\/((-3)\/(-2))*(-30)\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvjsjquurj. Give prob of sequence rj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2506594 is divided by 267.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1821\/22 + 916\/11. Let -3*r - 9\/2 + 4*r**2 + h*r**4 + 3*r**3 = 0. Calculate r.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*f**2 + 2 - 2.\nAnswer: 140*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2904221 millilitres?\nAnswer: 0.0002904221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g**4 - 7*g**2 + 0*g + 1\/60*g**5 + 0 + 0*g**3. Let o(q) = 2*q**2. Calculate o(a(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - x**2 + 1. Let o(u) = -2*u + 4 - 3*u**4 + 10*u**4 - 2*u**3 + u**3 - 7*u**2 + 3*u**5. Let k(l) = 4*a(l) - o(l). Factor k(v).\nAnswer: -v*(v + 1)**3*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(0 + 20\/(-105)). What is the closest to 1\/4 in l, 1, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkiijr. Give prob of picking 1 j and 2 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6637.79 tonnes in milligrams?\nAnswer: 6637790000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let u = 0 + -5. Let v = 5.2 + u. Which is bigger: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:44 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1816.909 and -18203.\nAnswer: -16386.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. Let s be 0\/(x + -2 + 1). Suppose -c - 2*c + 27 = s. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3535054 - 210?\nAnswer: -3535264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/11)\/i)\/(i\/i**(-17)))\/(i\/(i*i**16)*i**(-21)) assuming i is positive.\nAnswer: i**(194\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 9. List the prime factors of n(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15*w**3 + 251*w**2 - 59. Let h(u) = 8*u**3 - 126*u**2 + 32. Calculate -11*h(b) - 6*t(b).\nAnswer: 2*b**3 - 120*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -65?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/20*10\/12. Let v = -15 + 9. What is the third smallest value in c, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*r + 36, -16596 + 16557 = -3*z + 2*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqqwllvlqxxlxxw. Give prob of sequence wwq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.53 - -0.03. Let w = 1 + -0.9. Put z, w, -3 in increasing order.\nAnswer: -3, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 27684?\nAnswer: 55368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**21)**(-4\/29) assuming v is positive.\nAnswer: v**(80\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495?\nAnswer: 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 + u**2 - 3*u**2 - 92 + 2*u**4 to h*u**4 + n*u**2 + p*u**3 + y + x*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.874 + -1.8. Let m = x + -0.07698. Round m to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*o + 74*o - 182*o - 58*o.\nAnswer: -226*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -268, -1\/7, 683?\nAnswer: 683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 641\/6410*(-880)\/2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-one halves of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(1 + 4 - 2)*(-1301*m**3 + 441*m**3 + 1046764 - 1046762) in the form q*m**2 + s + k*m**3 + r*m and give k.\nAnswer: -5160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1) + (23 - (-10 + 28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -670*p**5 - 492*p**3 + 242*p**3 + 250*p**3 + 6252*p**5 + (3 + p - 3)*(-p**4 + p**4 + p**4).\nAnswer: 5583*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aada when four letters picked without replacement from daaadaaaa?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41526577.\nAnswer: 31, 1339567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/6 - 11*i**4\/12 - 5*i**3 - 3*i**2. Let l be q(-20). Round l to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 3d?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30834732?\nAnswer: 2, 3, 71, 36191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = -32*d - 29 + 606 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 9, g: 4, v: 1, m: 2}. What is prob of picking 1 g and 1 v?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 1:15 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 22. Suppose -2*a + 2 = a + 2*r, 0 = 2*a + 2*r + 2. What is the remainder when k is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 77. Suppose -v*k - 36 = -x + 66, -224 = -2*x - 4*k. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 - 2*m + 1. Suppose -2*a + 2 = -2*h - 0, -a + 13 = -4*h. Determine v(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, x: 3, d: 5, w: 7}. Give prob of picking 1 x and 2 d.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -4\/15, 3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2916 from 3979113.\nAnswer: 3979112.7084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 20*x**2 + 0*x**2 + 4*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 614409451 to the nearest integer?\nAnswer: 24787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q + 3*q)*(7373 - 7373 - 3628*q).\nAnswer: -7256*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 14, 0.17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(3\/13)\/m)\/m*m*m*m*m**21*m*m)\/((m*m**(1\/29)*m)\/(m**(-22)\/m)) assuming m is positive.\nAnswer: m**(451\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -28, -46, -62, -70, -64, -38, 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 1992848*a**2 - 248117518580*a + 24334659897800 = 0. Calculate a.\nAnswer: -249155, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 16.01489 minutes?\nAnswer: 960893400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1808 by -6.\nAnswer: 904\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6624 divided by -3\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p = 9. Suppose 6 = 2*u, -u + 17 = o - p*u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461 - 230 - 231 - 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9396 divided by 81\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (405900\/(-260))\/45 - (8\/26 - 0).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 249\/12 - 2\/(-8). Let n be 1 - 6\/6 - -12. Suppose 5*p = -4*k + 28, k - 2 = -3*p + n. Solve 5*r + p + y = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6956, 1\/4, 2\/5 in decreasing order.\nAnswer: 6956, 2\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -17 (c) 721 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10210 (base 3) in base 7?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/122 and ((-176)\/(-3080))\/((-2013)\/(-84))?\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**2 - 2*u. Suppose -5*z = -2*z - 9, -5*z = -2*d + 7. Let r = 9 - d. What are the prime factors of p(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22012102201 + -1100210?\nAnswer: 22011001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -24*n**3 + 6*n - 2. Let f(h) = -71*h**3 + 17*h - 6. Determine 6*f(y) - 17*k(y).\nAnswer: -18*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -4*m**3\/3 + 82. Let w(u) = 19*u. Determine w(k(y)).\nAnswer: -76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11822?\nAnswer: 2, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 2. Let q be k(-2). Let r be q\/(-26)*168\/9. Suppose -96\/13*s**3 + 4\/13 - 38\/13*s + r*s**2 = 0. What is s?\nAnswer: 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1544.\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 2*f + 5*f + (-2 + 2 - 1)*(-101*f + 11*f + 28*f) - 147*f - 68*f + 47*f in the form c + a*f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/39272451 and 93\/124972.\nAnswer: 157089804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85*(-2)\/(-40)*(-3 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -66 (b) -1 (c) -128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:19 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018458 to 6 dps.\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 5*t**2 - 2*t + 1. Let i be a(5). Let p(u) = 76*u**3 + 4*u**2 - 11*u - 19. Let f be p(i). Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:10 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2244*h - 2244*h + 8*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*u - 2 = 64*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1210241t to nanograms.\nAnswer: 121024100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 0.309.\nAnswer: -0.01545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 5*h - 1295. Suppose 0*n = 7*n + h. Let i = n + 48. Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(18\/11))**(4\/9))**25 assuming l is positive.\nAnswer: l**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrfu when four letters picked without replacement from upuprrfuuruuupuruu.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 269, -0.3 in descending order.\nAnswer: 269, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -160697822 and -0.0239?\nAnswer: 160697821.9761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308233063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -255 - 111 - 24 - 105*p**3 + 81 - 38*p**3 wrt p?\nAnswer: -429*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 36705 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drllrdrrrrrd. What is prob of sequence lddr?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 2*v - 1. Suppose 231*h = 229*h. Suppose i - 3*g - 1 - 1 = 0, 5*i - 2*g - 10 = h. Determine x(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 2. Let o be g(0). Let v = -1.92 - -1.9. Let y = v + 0.42. Which is the second smallest value? (a) y (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78735854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*d - 10 = 15, 3*d = 3*r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19004, 19003, 19002?\nAnswer: 19001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j - 10. Suppose -7 = -3*n + j. Put n, -0.5, 10 in ascending order.\nAnswer: -0.5, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 - (58 + -26) - 103?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c9c + -acc5?\nAnswer: -bc94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + 3*n - 5*n)*(-2*n**4 + 4*n**4 - 3*n**4) - 33 + 33 + 16*n**5 - 140*n**5 - 168*n**4 + 168*n**4.\nAnswer: -126*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdggxddggdgzxvxxdddd. What is prob of picking 2 g?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*l = -3 + 9, -4*u + 3*l = 4. Suppose -5*q - u*j + 3395 = -4*j, 0 = 2*q + 5*j - 1329. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-2)\/((-6)\/(-3))). Suppose -t*y = -20 - 20. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 19 = h, -2*h = 168*l - 78*l - 126*l + 134 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-12 + 4 + -1). Suppose -4*u = -5*h + t - 10, -3*h = 3*u + 24. Sort 0, 33, h.\nAnswer: h, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 4*i**2 - 5*i - 2. Let w be d(-5). Let k be (13\/w + 5)*-3526. Suppose 4*s = k - 31689. Round s to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(52) - (1*sqrt(468))\/sqrt(9) - -1*sqrt(4212))\/(sqrt(20)\/(sqrt(15)\/(sqrt(9)\/sqrt(3)))).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 17. Determine n(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*j + 5*c, 0 = 2*j - 2*c - 20 + 4. Let s(p) = -p**3 - p**2 + 2*p - 1. Give s(j).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 - -4) - (-8 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 126312?\nAnswer: 1642056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1142931, -1142934, -1142939, -1142946, -1142955, -1142966, -1142979?\n\"Answer: -r**2 - 1142930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*t - 6 = 0, -4*t = -0*b - 2*b. Suppose -4*z - 9 = -6*z + 5*y, -2*y = 3*z - 4. Calculate the highest common divisor of z and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 408*i**2*o - 5*i**2 + 429*i*o + 2765*i + 2*o with respect to o.\nAnswer: 408*i**2 + 429*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/28)\/(-3)*(-528)\/66\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1296) - sqrt(1296))\/(sqrt(3) + 1*sqrt(147) - sqrt(3)).\nAnswer: -24*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 70*f + 16. Let o(r) = -29*r - 8. Let a(p) = 8*c(p) + 18*o(p). What is a(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzzjjhljrjczj. What is prob of picking 1 z and 1 j?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6525926.6 to the nearest ten thousand.\nAnswer: 6530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2)*f)\/f)**(-36)*(f*f**(-1\/12))\/(((f**(-5\/6)*f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7975 minus -0.08?\nAnswer: 7975.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 461, 10165, 2, 3.\nAnswer: 2, 3, 461, 10165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggxxxg. What is prob of sequence ggxx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6114326*y**3 + 2*y**2 + 889520*y wrt y?\nAnswer: -36685956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1476 and 2928015.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19243744138976.20000075 - 19243740893382. Let f = l + -3245595. Let x = -0.8 - f. What is x rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11648, -2\/3, 1\/4, -0.1, 2 in decreasing order.\nAnswer: 11648, 2, 1\/4, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let h be r(-3). Let y be 12\/32 - 4\/((-288)\/333). Solve -3*l + 2*m = -h + 1, -y*l + m + 13 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-196)\/84 + (-1)\/(-3) + 10\/(-14 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443951564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/(-210) + (-94)\/(-14). Suppose -4*d + x*j + 484 = 8*j, 2*d = -4*j + 256. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004466316 rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 20*x + 19*x - 15*x.\nAnswer: 24*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201202 - 313?\nAnswer: -1202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 3*h**2 - 3*h + 11. What is the units digit of u(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 666740 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/242193 and -151\/36420.\nAnswer: 4843860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -795 divided by 5?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*x - 2*a + 10, 3*a = 3*x - 15. Suppose -3*n + 6 = v, 0*v = -3*v + x*n + 31. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1*20\/((-300)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1560 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 14)\/(-12) + (-86)\/8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57775, -57751, -57737, -57739, -57763, -57815, -57901?\n\"Answer: -a**3 + a**2 + 28*a - 57803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25659 or 1462636\/57?\nAnswer: 25659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-40) - 11\/(-22)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0504795 centuries to decades.\nAnswer: 0.504795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*b + 198*b = 0. Solve -3*i - 37*i - 120 = b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12040 divided by -3010\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764699 divided by 3?\nAnswer: 5764699\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -534103 + 3?\nAnswer: -534100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*c**3 - 4*c**2 - 8*c**2 - 4*c + 12*c**2 as n*c**3 + s*c + p*c**2 + v and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -4\/5 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 2*m. What is the remainder when 39 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 0*d + 0*d + (-4*d**2 + 4*d**2 + 2*d**2)*(3*d - d - 3*d) + (4*d - 4*d + d**2)*(6 - 7*d - 6))*(-3*d - d - 8*d).\nAnswer: 132*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4 = h. Let w(r) = r**3 - r**2. Let q(z) = 5*z**3 + z**3 - 2 - 3*z**2 - 2*z**3. Determine h*q(b) + 3*w(b).\nAnswer: -b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002345674 to 6 decimal places.\nAnswer: -0.000235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9546872 (base 10) to base 5.\nAnswer: -4420444442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-188)\/28 + (-2)\/7. Let k = 21 + m. Let l be k\/(-21) - (-16)\/6. Which is the nearest to -0.1? (a) 5 (b) l (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152535 (base 9) to base 14.\nAnswer: -26245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/3360*14*-2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*b - 607 = 0, -q + 6*q = -3*b - 583. Let x = q - -159. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/21*18\/(-3). Suppose j*q + 38 = 126. What is the remainder when 63 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001993846 rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 55*p - 480. What is the smallest common multiple of j(-44) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.554 - -1.237. Let d = p - -0.047. Let j = 6.73 - d. What is the smallest value in 3, j, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19860 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7974555 divided by -3.\nAnswer: 2658185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52216187 to the nearest integer?\nAnswer: 7226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -20, 389, 2, 6 in descending order.\nAnswer: 389, 6, 2, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62246188*o**2 - 234*o + 2831?\nAnswer: 124492376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(114) + (sqrt(114) - -1*(2*sqrt(114) - sqrt(114)) - sqrt(114)))\/(sqrt(12)\/sqrt(2)*4) - (sqrt(209)*-2*4)\/(2*sqrt(539) + sqrt(539))).\nAnswer: -3 + 37*sqrt(19)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 26. Let t be (-1*4)\/((-1)\/2). Let g = x + t. What is the lowest common multiple of 8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-3 - (-15 - -3)) + -1 + 12 + -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13\/2)*p*p**(-1\/6)*(p\/((p*p**(-1))\/p))**(3\/2) assuming p is positive.\nAnswer: p**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-14 - (-2 - 18))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h - 19\/14*h**2 - 1\/21*h**3 + 141. Factor i(y).\nAnswer: -y*(y + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -225, 285, 1279, 2919, 5367, 8785?\nAnswer: 13335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*y - 9*y**3 + 231*y + (y + y - y)*(3*y**2 - 4*y**2 + 2*y**2) - 5*y - 30 + 32 + 3*y + 2*y**3 in the form j*y + p*y**2 + v + m*y**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m = 5*c - 47*m - 26, -3*m - 13 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001970977 rounded to 6 dps?\nAnswer: 0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 - 5*d**4 + 67*d**3 - 187*d**2 + 198*d - 72 = 0.\nAnswer: -12, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708301 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 1676 = 95*w + 17*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*u + g + 22, 4*g = u + 2. Let q(j) = -7*j**2 - 9*j**2 - 3 + u*j**2 + 13*j**3 + 4*j. What is the remainder when q(2) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, l: 1, a: 3}. Give prob of picking 3 a.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*l**6 - 116*l**5*q**3 + 3268*l**2*q**3 + l*q**3 wrt l.\nAnswer: 4680*l**3 - 6960*l**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*v + 10, -14*v + 17*v = -3*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1267+241226067\nAnswer: 241227334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**2 + 2*v**2 + v**2 + 4*v**2 - 4 wrt v.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.503578km to meters.\nAnswer: 503.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/10 and ((-5)\/2250*-15)\/(9\/167).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:35 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*r**2 + 183 - 176*r**2 - 87*r**2 wrt r.\nAnswer: -440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*t = -2*o + 89*t - 6, -3*t = -4*o - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {i: 1, g: 2, y: 2, q: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -20, -4, 14, 34, 56?\n\"Answer: u**2 + 11*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/72*-32)\/(8\/1554*-7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.035 - -0.165. Let s(r) = -r**2 + 2. Let t be s(-5). Let p = -28 - t. Which is the closest to p? (a) y (b) -0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4896) - sqrt(4896)*2)*1 + sqrt(4896) - sqrt(4896))\/(-2*-6*1*sqrt(2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -233*u**3 - 3*u**2 + 2*u - 13. Let z be n(-10). Suppose -319998 = -5*m - 2*f, 23335 = 4*m - 2*f - z. What is m rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, 1\/23, -5 in decreasing order.\nAnswer: 2\/7, 1\/23, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 5)*5\/2. Let f be (-190)\/s - (-4)\/(-10). Let m be (-60)\/f*54*2. What is m rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 12. Calculate the greatest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let a(b) = 1 - 2*b + 3 + 6*b - 5. Let s = 4 + -3. Let y be s*-4*3\/2. Determine y*d(h) - 2*a(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5 - -7)\/10)\/((-1)\/(-7)). What is the fourth biggest value in 0.4, 0, 5, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 2555*b**3 - 2550*b**2.\nAnswer: -5*b**2*(b - 510)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 4*j**2 + 6*j + 2. Suppose 4 + 4 = 4*n. Suppose 62 - n = 4*h. Suppose 5*t - h = 2*t. Give x(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4 - 934*n**3 + 103726*n**2 + 1256662*n.\nAnswer: 2*n*(n - 239)**2*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + c**2 + 13. Let y be q(0). Suppose -s = -k - 15, -k + 58 - y = 5*s. Solve 4*v = x + 11, 2*v + 0*x - 2*x = s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/5 + 15\/25. Solve -2*m + g - 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + r + 4, 24*r - 4 = 22*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 - 9*s - 3. Let k be o(-8). Suppose 0 = 3*y + h, y + 2*h - k*h = 0. Solve 3*x - 2*b + 4 = y, 0*b - 4 = -2*x - 2*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 0*c**6 - 73\/4*c**4 + 1\/2*c**7 + 0*c**3 - 5 + 0*c**2 - c - 3\/10*c**5. Find the third derivative of b(a) wrt a.\nAnswer: 1260*a**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*r - 59 = -0*r, 5*r - 20 = 0. What is the units digit of 21618\/l - 24\/(-204)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 35. Let p = 18359 + -18319. Which is smaller: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89165 and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 48 = -6*r - 96, -3*w = r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 249 in descending order.\nAnswer: 249, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 365*p + 13. Let i(r) = 366*r + 8. Give -2*f(x) + 3*i(x).\nAnswer: 368*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 1414 + 379. Let b = 715 + a. Suppose -g + 365 = -x + 3*x, -2*x + b = 2*g. Round x to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2. Let w(p) = 280*p. Let q(f) = 8*f. Let m(a) = 120*q(a) - 3*w(a). Give s(m(l)).\nAnswer: -14400*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.628939l in millilitres?\nAnswer: 1628.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-5)*s)\/s**(-3))**(1\/4))**(-15))**(-9) assuming s is positive.\nAnswer: s**(675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -732*c - 363\/2*c**2 - 734 + 1\/2*c**3.\nAnswer: (c - 367)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42858 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -23 - 2*k + 23. Let g(h) = -54*h**2 + 443 - 443. Determine w(g(t)).\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 60 = -5*x - 24*c, 4*c - 20 = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(64) - (sqrt(64)*1 + sqrt(64)))*3)\/(-5*(sqrt(72) + sqrt(72) + (sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72)*1) - sqrt(72)))) + sqrt(72)))**2.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 330\/25 + (-2)\/10. Suppose 3 - u = i + 3*h, -i - 4*h - 15 = 0. Factor -3*c**i + 56 - 56 + 6*c**3 + 3*c**4.\nAnswer: -3*c**3*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -31 + 1. Let l = f + -11. Let x(t) = -4*t**2 + t. Determine x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b + 3*b + 7*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -17.3. Which is the third biggest value? (a) -2\/3 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 557634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-3 + 1 + 3) + 1 - 1 + 2 + 49 - 22 + 49)*(-v + v + 3*v**2) + 13*v - 2*v**2 - 13*v.\nAnswer: 235*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 12 = 0, -3*x - 44 + 5 = 3*i. Let a(u) = -18*u + 40. What are the prime factors of a(i)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/43 + 78\/215. What is the nearest to 2 in k, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75505.17kg to grams.\nAnswer: 75505170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 28500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 2*n + 1. Suppose -2*r - 60 = -6*r. Let l = -11 + r. Suppose t + l = 3*k, 0*t - 5*t - 3*k = 2. Determine a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.177? (a) -0.041 (b) 2 (c) 0.0407\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81596752?\nAnswer: 2, 5099797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:19 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*k + 2*k - 13 = 0, 0 = 2*k - 10. Let j be 0\/((-3 - o)\/3). What is the nearest to j in 2\/15, 3, -1\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + ((sqrt(117) - (sqrt(117) + sqrt(117)*2))\/sqrt(3) + 3*sqrt(351))\/((sqrt(243)*4)\/sqrt(9)))**2.\nAnswer: -35*sqrt(13)\/6 + 4237\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(-3)*r)\/r*r*r\/(r\/((r\/(r*r*r*(r*r\/(r**3\/r*r*r))\/r*r*r))\/r)))**40*r**(1\/2)\/r**(-3)*(r\/(r\/(r*r**(-4)\/r)))\/r**4 assuming r is positive.\nAnswer: r**(-249\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2*4569\/(-6). Let n = s + 6057\/4. Find the common denominator of ((-1)\/4)\/(1 - 117\/123) and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -2*-2*sqrt(133))\/(2*1*sqrt(7)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -97075, -194011, -290947, -387883, -484819?\n\"Answer: -96936*l - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 4*x**2 - 67 - 2*x**2 + x**3 + 70. Calculate c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7838073 and 2196.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 14*m - 16768 = -10*m, -3*z + 4*m + 50304 = 0. What are the prime factors of z?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*h + 116*h + 172 = 0. What is the third smallest value in h, -0.5, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 41*v**3 + 153*v. Let u = 392 + -402. Let o(j) = -122*j**3 - 462*j. Let s(l) = u*a(l) - 3*o(l). Find the second derivative of s(n) wrt n.\nAnswer: -264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76599 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 12:23 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17400, -17541, -17682, -17823, -17964, -18105?\nAnswer: -18246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240491328 divided by 3696?\nAnswer: 65068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - 2*k + 0*k)*(1 - 2*k**3 - 1) + 144 - 27*k**4 - 145 + 11*k**4 in the form v + l*k**2 + s*k + u*k**4 + x*k**3 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6633 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 + 4*h + 7. Let n(x) be the first derivative of x**3\/3 - 7*x**2\/2 + 3*x + 10. Let g be n(5). Is m(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 36. Let v(o) = 20*o**2 - 9*o. Calculate n(v(y)).\nAnswer: 40*y**2 - 18*y + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 + 7*z. Let w(g) = 24160*g. Give w(a(k)).\nAnswer: -120800*k**2 + 169120*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 - 584 - 2344 = -6*z. Is 187 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -4 + (208\/4 - 10). Calculate the highest common divisor of h and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:34 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.93 and -5751147889.98?\nAnswer: 5751147890.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**8*o*o**(-1\/2))\/((o\/o**2)\/o*o**(4\/11)) assuming o is positive.\nAnswer: o**(-85\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -18, -1, -1441 in decreasing order.\nAnswer: -1, -2, -18, -1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -741, -1082, -1425?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4330480 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -5*f**4\/3 - f**2 - 69. Let r(g) = 1 - 1 - g**2. Give c(r(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/5)\/t)\/t)**(-17))**(-18) assuming t is positive.\nAnswer: t**(-3366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*a = 22 - 21, 5*a = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b*b**(-1)*b))\/(((b**0\/b*b)\/b)\/(b*b\/(b*b\/b**4)*b)) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 85826 (base 12) in base 8?\nAnswer: 527136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i - 49. Give h(4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 13*s**2 + 14*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvddtwvwwwwvnvnvw. Give prob of picking 2 w, 1 n, and 1 d.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -11 + 3 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -358554 (base 11) to base 3.\nAnswer: -1001211200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-108)\/(-756))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41130230 - 5?\nAnswer: -41130235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 2*q**2 + 2*q - 1. Let m be c(2). Suppose 5*s - 766 = 2*v, -m*s - 4*v + 466 = -2*v. Let t = s + -96. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44453303 - 1?\nAnswer: 44453302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**3 + 15*y**3 - 15*y**3 - 14*y**3 + 31*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4 - 504*y**3 - 2452*y**2 - 3888*y - 1936 = 0 for y.\nAnswer: -121, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 53*j**3 + 2*j - 1. Let a(w) = -2*w - 3. Let t be a(-2). Let l be s(t). Suppose 0 = -2*y + 5*y - l. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/330)\/((-18)\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180244458.\nAnswer: 2, 3, 10013581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/4809 and 1252\/(-28) + -2 + 266\/(-931).\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32668302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**5\/20 + 5*i**4\/12 - i**3\/2 + 2*i**2 + 2*i. Is 7 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, -3, -2, -5 in decreasing order.\nAnswer: 3, -2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 2015*n**2 - 900423*n + 2683161.\nAnswer: -(n - 1349)*(n - 663)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89557*h + h**2 + 10 - h**2 - 18*h**3.\nAnswer: -18*h**3 + 89557*h + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 340, 339, 338?\n\"Answer: -r + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -2*n + 4*n. Let r be 15\/10*(-4)\/(-6). What is the remainder when n is divided by (r*4)\/(6\/24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose -b*h = -2*j + j + 14, -5*h - 18 = -2*j. Suppose j*x + 4 - 12 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1234 + 1234. Solve u + 0*c + 14 = 5*c, x = -4*c + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 5 = -17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/(-968)*30\/35?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 6, 3 in descending order.\nAnswer: 6, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*z + 673*z - 204 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35876.6452 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/sqrt(9) + 2 - sqrt(36)\/(sqrt(12)*3)) + 3*(sqrt(162)\/sqrt(6) - sqrt(27))*2)**2.\nAnswer: 8*sqrt(3)\/3 + 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1578 + 2358. Let z be 3\/((-27)\/n)*240\/(-100). What is the greatest common factor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1163498 + -41345167\nAnswer: -42508665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 14*s + 174 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -14484\nAnswer: -29\/14484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14157.9 - 14887. Round u to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*z - 417*z - 78*z - 23*z.\nAnswer: -705*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**8\/1680 - y**4\/8 + y**3\/3 - 2*y**2. Let l(j) be the first derivative of v(j). Differentiate l(t) with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*l + 231*l + 98*l = -143*l + 9812 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/16 and -53\/598.\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2830 + 23540. Let b = 105541\/20 + d. Calculate the common denominator of b and 113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -3)*(-360)\/27. Suppose 5*p - c = p. Suppose 0 = -5*s - 0*s + p. Which is smaller: s or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -122*i + 615. What is the units digit of q(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**3 + 741*v**2 - 103827*v + 2974731 = 0.\nAnswer: -353, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5450259403802314.948800409 - 5450259411253001. Let k = 7450686.1 + g. Let i = -0.0488 + k. Round i to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*x = -275*x + 5688. Suppose q - w = 835, 5*q = -3*w + x + 3567. List the prime factors of q.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omuwi. Give prob of picking 1 i and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2313 = -9*g + 39717. Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1100)\/(-24)*(-27)\/90 and 71\/3852.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 0, -5*m + 2*h = -h + 20. Let k(z) = 53*z**2 - 1168*z + 42. Let v be k(22). What is the smallest value in m, -0.4, 0.1, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 v when three letters picked without replacement from {c: 3, k: 2, t: 2, v: 1, l: 3, e: 1}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*w - 12*w + 1 - 15*w + 37*w as t*w + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -34258*g + 239796. Calculate u(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5316 by -3.\nAnswer: -1772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e13 (base 15) in base 9?\nAnswer: 40670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 z, and 1 p when four letters picked without replacement from pzzzhppzppp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 4, 17, -6303, -5?\nAnswer: -6303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39990*q - 336 = -39976*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/(((-336)\/(-40))\/6)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*-1*1)\/(sqrt(54)\/sqrt(3) - sqrt(72)*-2).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/((-138)\/1518).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8985451147?\nAnswer: 23, 29, 37, 541, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.027 + -0.037. Let q = 736\/3231 + -2\/359. Let b = 0.04 - -0.46. Sort q, b, y in ascending order.\nAnswer: y, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188681 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*7 + 10\/(22\/11). Let k = 8 - 23. Are k and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 27 = 10*h. Put 0, 1, -7, h in ascending order.\nAnswer: -7, h, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-28)\/(-21))\/((-2)\/(-3)) + 77. Suppose -2*z - 10 = 0, 3*g - h + 3 = 2*z. What is the remainder when 152 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 + 135. What is the closest to -1\/4 in t, 0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 - 0 - (2 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/6 (c) -16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -2 (c) 1\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 5:07 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = a - 17. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 0*g**2 + 2*g + 2*g - 3. Let n be y(-5). Is n\/6 - (-185)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 244940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2*q - 5*o - 7, o = 5*q + 45. Let r(j) = -j**3 - 9*j**2 - 9*j - 12. What is r(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -23, 234, 0 in ascending order.\nAnswer: -23, -5, 0, 1, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -723, -2500, -5975, -11718?\nAnswer: -20299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124.0364 + 0.0364. Sort 5, w, -1 in ascending order.\nAnswer: w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/9 and 37\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117571 - -2468945\/21. Let u = 3 - 5. What is the common denominator of t and u - (1 + 24\/27)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/35, -1\/3, -33\/4, 2, 0.1001?\nAnswer: 0.1001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 - 40660?\nAnswer: -40717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24534\/(-235))\/(-87)*(-25)\/(-490)?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 6. Let u be a(-4). Suppose u*q - 4*q = 0. Suppose q = 2*o + o - 12. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 0. Let l(p) = p**3 - 10*p**2 - 10*p - 5. What is the remainder when 16 is divided by l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - b - 463 - 334 = 0, 5*b = -2*r + 371. What is the greatest common factor of 6380 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4099*x**2 + 1605*x + 11340156.\nAnswer: -8198*x + 1605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 28*g**3 + g**2 - g - 1. Let v be j(2). Suppose 5*s - 119 = -3*i, 0 = -2*s - 0*i + 5*i + 60. What is the greatest common divisor of s and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13461992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8689512*q + 1512 = -8689596*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**8\/8400 + m**7\/4200 + m**6\/900 - 2*m**3\/3 - 2*m**2. Let j(c) be the first derivative of f(c). Solve j(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 0*g = -38*g + 2279 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*z**3 - 13*z**2 - 53*z wrt z?\nAnswer: -30*z - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -129969 - -1\nAnswer: -129968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 282 - 16. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, -45, -311, -695, -1203, -1841?\nAnswer: -2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18364189*t + 2198940 wrt t.\nAnswer: -18364189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4268948?\nAnswer: 2, 31, 173, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = u + 2*u. Let f be (6\/5)\/((-10)\/25). Let a = f - u. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -0.061.\nAnswer: -0.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = -23. Suppose -2*t + 34 = -24. Suppose -t - l = -3*n. Calculate the greatest common factor of 55 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2814 - 2816. Sort 1\/12, 3, j, 0, -1 in decreasing order.\nAnswer: 3, 1\/12, 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**2*y**4*z**2 - 2*n**2*y**2*z - 2*n**2*z**2 - 48*n**2*z + 267*n*y**3*z**3 + 7*y*z**3 wrt y?\nAnswer: 48*n**2*y*z**2 + 1602*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 24. Let j be (-7 - -1)*2\/(-6). Suppose 0 = -j*c + c - 3. Put q, c, 1 in descending order.\nAnswer: q, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 (base 15) in base 2?\nAnswer: 11000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*y. Let a(d) = -d**2 + 8*d + 12. Calculate the lowest common multiple of y and a(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2 - 2559120*j - 818636896800 = 0.\nAnswer: -639780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443352677.\nAnswer: 443352677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:17 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -376*b**2 - 21814*b - 346. Give w(-58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4734527ml in litres?\nAnswer: 0.0004734527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 18, 2, 4, -184, -8 in descending order.\nAnswer: 18, 4, 2, 1, -6, -8, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.8, -3, -5, 5379\/7?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 1. Let t(r) be the second derivative of r**4\/12 - 7*r**3\/3 - 12*r. Let b be t(14). Calculate s(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-1)\/(220\/(-5))). Let u = p + -84. Solve 2*q - 20 = -u*b, 3*b + 2*q - 15 = -q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454883776 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: Let p be (1\/3)\/(29\/609). List the prime factors of 184\/5 - p\/(-35).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 769.3 and 0.3?\nAnswer: 230.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/4 + (-54)\/(-36). Suppose 0 = -5*a + x*a - 3*j - 991, -2*a + 2022 = 2*j. What are the prime factors of a?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 635295*h**3 - 2853853*h**2.\nAnswer: 3811770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120358 (base 11) in base 4?\nAnswer: -232210213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 68 = 2. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2\/5 + 1144380*k + 5721897\/5 = 0. Calculate k.\nAnswer: -1907299, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 128175 divided by 3?\nAnswer: 42725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 9*t - 1. Suppose -251 = -68*a + 157. Let j(k) = k**2 + 8*k. Give a*p(u) - 7*j(u).\nAnswer: -u**2 - 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 280753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from ssssussuss?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l - 52*l - 39*l = -84 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 - 80 + 144 = 31*x. Let b be (-23)\/(-28) + 2\/(-8). What is the nearest to -6 in x, -2\/21, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.045 (b) 0 (c) -0.07 (d) 2\/5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -8 - (-6 - (5 + -3 + -5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1787 or -3575\/2?\nAnswer: -3575\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = -0. Suppose 3*l - 49 = -q. Suppose 8*p + 100 = 13*p. Calculate the smallest common multiple of l and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.055, -0.03854, -0.05, -0.24.\nAnswer: -0.24, -0.05, -0.03854, 0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 48*v + 27. List the prime factors of x(-29).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -127812, -127849, -127886, -127923, -127960, -127997?\n\"Answer: -37*g - 127775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-125)\/35 + 4 - (-26)\/(-28). What is the fourth biggest value in l, -0.2, 0.5, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**3 - d. Let p be o(1). Find the third derivative of p*c**2 + 5*c**6 - 5*c**6 + 17*c**6 wrt c.\nAnswer: 2040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3464507205 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7172 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -559*z**2 - 3*z - 173. Let s(c) = -558*c**2 - 4*c - 171. Let x(v) = -3*p(v) + 2*s(v). Find the second derivative of x(o) wrt o.\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(-37)\/((-185)\/50).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 5, 4, -3.5, -314, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -24?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.213 + 106.213. Let z = u + -25. Let w = z - 81.1. Which is smaller: w or 17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 243 - 66?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11684 (base 14) to base 9.\nAnswer: -64208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2587 - -59602. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 290420712 or 290420713?\nAnswer: 290420712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9261059 rounded to the nearest one hundred thousand?\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231022434668 - -0.5.\nAnswer: 231022434668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9120351 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence remr when four letters picked without replacement from rebercdm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1712 - 94 - 1126)*(a**4 + 8*a - 8*a) + 0*a + 0*a - a**4 in the form r*a**2 + k*a + w + g*a**3 + c*a**4 and give c.\nAnswer: -2933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -145\/4, -21, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2912 - 14513\/5. What is the common denominator of y and 0\/(3 + -1) + -41?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 620 (base 10) to base 9.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -6, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 4, v: 1, c: 4}. What is prob of sequence ovy?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 2 + 0 + 0*y)*(465*y - 244*y - 125*y) in the form g + d*y + f*y**2 and give f.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1728 + 1733. Sort -2, -104, p, -3 in descending order.\nAnswer: p, -2, -3, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/54270 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11627*f**4 - 619*f**3 + 110805*f**2 + 58.\nAnswer: -279048*f - 3714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7694 - 1838870\/239. Let l = 4585\/2629 + p. Which is greater: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 5430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 24 + 24. Solve a = 3*l - 15 - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 9:58 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(126) - (sqrt(140) - (sqrt(140) - ((sqrt(140)*2 - sqrt(140)) + sqrt(140) - sqrt(140))))\/sqrt(10))\/(sqrt(14)\/(2*sqrt(6)\/sqrt(3))).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 8*o - 82. Let k be r(-5). Solve -k*s = -2*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 838 and 1258?\nAnswer: 527102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggdtttggdttd. What is prob of sequence gg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -717, -5630, -18855, -44544, -86849, -149922, -237915, -354980?\n\"Answer: -692*j**3 - 4*j**2 - 57*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**6\/27 - 4*j**5\/15 - 2*j**4\/3 - 16*j**3\/27 - 71. Factor b(q).\nAnswer: -2*q**2*(q + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6273209*f - 440049 wrt f?\nAnswer: -6273209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sse when three letters picked without replacement from eeeemmieeisseemememe.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen halves of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2, -42.3, 15\/91, -1\/3.\nAnswer: -42.3, -2, -1\/3, 15\/91, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 27*o, -4*o = 27*i - 23*i - 96 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 1234, 4182, 9932, 19420, 33582, 53354, 79672?\nAnswer: 113472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*(-2 - (-7 + 4)). Let j(l) = l - 3. Let t(k) = 4*k - 10. Let q(c) = a*j(c) + 3*t(c). Let u(m) = -16*m**2. What is q(u(h))?\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -263 - -266. Solve 0 = -w*a - a - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 8768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 26642385 divided by -7689?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1300785187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 585.327 days in hours?\nAnswer: 14047.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -102649 - 73.79561\nAnswer: -102722.79561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - 1410?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-50)\/((x**0\/x)\/(x*x**(-3)))*(x*(x*x**(4\/9))\/x*x*(x*x\/x**(2\/5))\/x)\/(x\/(x**2*x*x)*x**2\/x*x) assuming x is positive.\nAnswer: x**(137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*i - 1205*i - 2836*i to the form r*i + x and give r.\nAnswer: -4013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = m - 6, -4*j - 15 = 5*m. Is (-4 - -795) + (-6 - (-1 - m)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 14) in base 13?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159147 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 51 + 25 + 37\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 less than or equal to 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 1. Is u(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 ttttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.84 + 5.84. Let l = 573 - 572.4. Which is the nearest to -5? (a) -3\/5 (b) l (c) g (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 8) to base 12\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 153597 and 153596 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-228)\/(-8)*2 + -4. Let k(w) = z*w + 45*w - 92*w. Let h(y) = 14*y. Give h(k(g)).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 6) to base 14\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 - 10*q + 15. Determine f(8).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1.3 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*r*v**3 + 754*r*v - 1334*r + v**4 - 23998*v**2 - v - 2 wrt v.\nAnswer: -138*r*v + 12*v**2 - 47996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 224*j**3 + 9*j + 2. Suppose g + 5*r + 0*r = -24, 3*r = 3*g. Let z be i(g). Round z to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1768 or -1767?\nAnswer: -1768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -6. Solve 5*l = 3*t - 2*t - 28, -4*t + 2*l + j = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2688 - 2689. Which is the nearest to -3? (a) -0.104 (b) -2\/15 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(2448) + sqrt(2448) + 1)*3*-1*-1 - (sqrt(2448)*-3*-4 - sqrt(2448) - (1 + sqrt(2448) + -1))))**2.\nAnswer: -384*sqrt(17) + 39184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10279\/105 + -2053\/21. Solve -14\/15*h**2 - 8\/15*h - m*h**3 + 8\/5 = 0 for h.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 67 = -4*s - 4*j, j - 29 = -2*s. Let x(u) = -u**3 + 3*u + 2. Let k be x(-2). Suppose -s - 3 = -k*i. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 7:47 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, -1.386, 2\/13, -1, -1\/3, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3 - k + 2*k - 3. Let l be q(2). Suppose 4*f + u = -0*u + 11, -l*f = 4*u + 12. Solve 21 = -t - 0*c + f*c, 20 = 4*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599000 divided by 1150?\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**3 - 1974*j**2 - 816*j - 268456. What is n(-329)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 3*l = -4, -z = 3*l + 323 - 319 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 7*v**5\/60 - 59*v**2 - 2. Let o(z) be the second derivative of 1\/3*z**4 + 0*z**2 + 0 + 0*z**3 - z. Give f(o(r)).\nAnswer: 112*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 3*o + 16, 0 = 3*t - 0*t + 4*o + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9815*a**4 + 6733 wrt a.\nAnswer: 39260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -180 + 94 - 57*t**2 + 85 in the form o*t + z*t**2 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 97a32c (base 14) in base 16?\nAnswer: 4e63f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-15)*58\/(3132\/(-405))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 9 = -27*y. Suppose -5*d = -2*l - 550, 0 = l - 2*l + y. Is 111 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000252093 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150349745\/188 + -799736. Let s = o + 115751\/36660. Calculate the common denominator of s and -52\/27.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418024 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x. Let f(a) = -2*a + 9*a - 5*a. Give l(f(z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfqz. What is prob of sequence fzzq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d + 92. Let v be x(22). Does 69 divide (-60)\/v*(-207)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*c + 11. Let f be 3\/c*-1 + 24. Suppose 14 + 12 = -2*z + 5*g, 3*z - 4*g + f = 0. Are z and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (4 - -5)) + -2 + (-8 - -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1589316?\nAnswer: 2, 3, 29, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/8 - 1443*s\/2 + 51705\/8 = 0 for s.\nAnswer: 9, 1915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 109, 205, 301, 397, 493, 589?\n\"Answer: 96*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193267*s**6 + s**2 - 302*s - 6 wrt s?\nAnswer: -23192040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 15*g + 3. Let y be c(-15). Suppose 4*a - 5 = y*a. Suppose a*q - 143 - 2 = 0. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1560\/(-400)*((-65)\/6)\/13.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 + -1)\/1 - 2. Let o = -8 + d. Determine r, given that -o*r**3 + 2*r - 3*r**2 + 0*r**3 - 3*r - r**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 - 2 - 4)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -2\/5, -4, -50, -27?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 252*y**2 + 74*y + 284. What are the prime factors of c(-9)?\nAnswer: 2, 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 855983549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 566543807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*s + 7 - 3, -v = 2*s - 2. Suppose v*k = -37 + 23. Let n = k - -192. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 19. Let s be j(-9). Let c be (65\/s + -2)\/(-6)*4. Sort c, 9, -16 in increasing order.\nAnswer: -16, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(28)\/sqrt(4) + sqrt(63)*1 + (((sqrt(14) - -1*sqrt(14))*2)\/(sqrt(4)\/sqrt(32)))**2.\nAnswer: 2*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 12) to base 15\nAnswer: 1de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 12:51 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*(0 + sqrt(19)).\nAnswer: -1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07655283895 - 1.1.\nAnswer: -1.02344716105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(99\/44)\/(2\/4). Find a, given that -a**5 + 2 - d + 7 - a + 2*a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364236911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*b**3*k - b**3*r**3 - 17*b*k**2 + 176*k**2*r**3 wrt r.\nAnswer: -3*b**3*r**2 + 528*k**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-259))\/((-3)\/18 + (-5)\/(-21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76 - b4?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218 - 190. Suppose -w = -46*l + 39*l. Solve -a + 10 = -3*f, l*a - 3*f - 2 = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (1 + 2 + -5). Let b(r) = -2*r - 2 - 3 - r + 6*r. Let u be b(3). What is the greatest common factor of u and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 774*u**2 - 399*u**2 - 384*u**2. Let z(w) = 0 + 2*w + 0. Give z(q(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**2. Let x(q) be the second derivative of q**5\/30 - 7*q**3\/6 - 5*q**2\/2 - 17*q. Let b(f) be the second derivative of x(f). Give b(a(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 215, 274, 371, 506, 679, 890, 1139?\n\"Answer: 19*g**2 + 2*g + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 11\/(-66) - (-183)\/18?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 113, 119, 141, 185, 257, 363?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1588 and 62006636.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14460287 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4439*i**4 + 68*i**2 + 17*i - 6. Let m(a) = -2219*a**4 + 35*a**2 + 7*a - 3. Let v(c) = -5*m(c) + 2*z(c). What is the third derivative of v(p) wrt p?\nAnswer: 53208*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -740249, -740363, -740477, -740591, -740705, -740819?\nAnswer: -740933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (2\/8 - 19916\/(-16)) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.06 + 20. What is the third biggest value in c, 0, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 18181.18.\nAnswer: -5454.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 227080?\nAnswer: 227080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626456.\nAnswer: 2, 78307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 0. Let d(q) = -3*q + 6. Let h be d(r). Let x = -18 - h. 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: Is 412 a factor of 10352824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from dyddyydyydyyyyhdyy.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = 3*s - 0*s. Let c = s + 77. Suppose 2*w + 4*w - 138 = c. Calculate the remainder when 90 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*n = -2, -2*i = n + n - 14. Suppose -2*u - 3*t = -31, t - 3 - i = -u. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, -0.9, 5\/3, 0.1, -2\/7.\nAnswer: -63, -0.9, -2\/7, 0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 21\/11 (c) 2\/4339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 1 + 4)*(-2*w - 3*w + 9*w).\nAnswer: 68*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623707.7t to micrograms.\nAnswer: 623707700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -30. Let b(o) = 2*o - o - 75*o**2 + 4 + 74*o**2. Let d be b(0). What is the nearest to 0.2 in d, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-3 - 1)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = 4*p - 6*p, 4*v = 2*p + 56. Let y = v + -9. Suppose y*r + 50 = 10*r. Solve f + 0*w = -w + 2, 4*w - r = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 13. What is c(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1968\/(-205))\/6*15\/(-51)*8\/(-16).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - g - 1. Let p(r) = 572*r**2 + 66*r + 66. Let v(w) = 66*b(w) + p(w). Let l(c) = c. Give v(l(h)).\nAnswer: 440*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 257\/2565 + -11\/114. Let w(a) be the third derivative of k*a**5 + 13*a**2 + 0*a - 1\/54*a**4 + 0 + 0*a**3. Factor w(z).\nAnswer: 2*z*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (7 - (-3 + 7 + 1) - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, 5, 2, 3, -5, -2 in decreasing order.\nAnswer: 227, 5, 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olo when three letters picked without replacement from olooolol.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*-101808.\nAnswer: 7228368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, -62, -265, -652, -1283?\n\"Answer: -10*i**3 - 2*i**2 - 3*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1639736\/(-126) + (-4)\/18. Let r = b + 390347\/30. What is the common denominator of r and -5\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 19 - 1169. Let f be ((-148)\/(-8))\/(1\/(-2)). Let o = 87 + f. What is the remainder when d is divided by o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14747 and 2.\nAnswer: 0.29494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 120*p**2 + 121*p**2 + 129*p**2 - 369*p**2. Let o(j) = -27*j + 15*j - 20*j. Give o(s(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -9)*3\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0)**(-25\/3)\/(t**(1\/2)\/t)**(-5))\/((t**(-2\/3))**0)**(-1\/2) assuming t is positive.\nAnswer: t**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2319 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1203 or 1199?\nAnswer: 1203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5365 (base 7) to base 10\nAnswer: -1909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = 5*z, -l + 77 = 3*z. Suppose 0 = 5*m - 2*r - 0*r + 172, -l = 3*m - 4*r. Is -36 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -67720, -67722, -67724?\n\"Answer: -2*w - 67718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91418359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 8*v - 11. Determine l(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-12 - -12 - 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxk when three letters picked without replacement from {o: 6, i: 1, x: 5, v: 2, b: 2, k: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 146259?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2*r + 4. Suppose 3*a + r = 4. Is -6\/13 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4126 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 - 257\/4. Suppose -10*x + 2*x - 72 = 0. Let o be (-10)\/495*x - 34\/66. What is the closest to t in 2, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -1\/36*d**3 - 6*d + 1\/72*d**4 + 0*d**2 + 0. Factor r(w).\nAnswer: w*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -453750 <= -15427509\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 67 = -2*n - 5*v, v - 63 = n. Let g = -37 - n. Suppose 5*s = -5*y + g, s - 4*s = -4*y - 29. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(-22*(-42)\/133056).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573351 equal to 2573369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o + 2*o + 0*o + 9*o)*(-61 - 6*o**2 + 61).\nAnswer: -102*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -12 - 9*p + 16*p**2 - 5*p**2 - 12*p**2. Let u be i(-7). Suppose x + q + 0 = -u, -2*q = -4. Let d(r) = -r - 3. What is d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wstiitttiwwjjjjittt. What is prob of picking 4 i?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10748.951 times 0.4\nAnswer: 4299.5804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 171, -51.\nAnswer: -51, -2, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-8))\/(-11)*216\/108?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261 or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 10. Let l be ((-12)\/(-9))\/(i\/36). Suppose l = 3*x - 0*x. Solve -5*u - x = -28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*w + 217537 = 0, -v - w - 43505 = -2*v. Let r = -25340 + v. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -263 + 493 + 785 - 10*d + 8*d + d in the form s*d + g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**3 - 31*t**2 + 50*t - 12. Let z be i(2). Put z, 0.06, -0.5, -2\/117 in ascending order.\nAnswer: -0.5, -2\/117, 0.06, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1\/4, 0.85, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120427637, -240855277, -361282917?\nAnswer: -481710557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*u + 8 = 0, -r + 6 = -2*u + u. Suppose -f = 3*v - 6*f - 324, r*v - 5*f - 216 = 0. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/3 (b) 1 (c) -0.4 (d) 704788\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - -235. What is the highest common divisor of h and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11716444, 11716446, 11716450, 11716456?\n\"Answer: f**2 - f + 11716444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -22. What is the highest common factor of y and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -35.23005\nAnswer: -528.45075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002291900683 rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476006233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.101 - 0.204. Let d = m - -0.103082. What is d rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11331, 11276, 11221, 11166, 11111?\n\"Answer: -55*n + 11386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0.42. Which is the closest to 1? (a) -16 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/5 and 13\/145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, r: 1, y: 4, l: 7, f: 3}. What is prob of picking 1 a, 1 f, and 1 y?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 34355100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 670 and 31370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2112 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -f - 3*a + 18, 3*f + 8*a - 5 = 13*a for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1 + 4 - 4*t - 1 - 6. Let s be a(-1). What is the second derivative of -y**s + y + 82 - 82 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -0*v - 16. Let o(c) = -5*c**v + 4*c**2 + 161*c - 161*c. Let h(w) = 39*w. Calculate o(h(g)).\nAnswer: -1521*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1947055 and -3\/49738405.\nAnswer: 547122455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-15))\/(16\/20)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:40 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.04 + 0.04. Suppose -4 = -2*x - 4*l, -3*x + 8*l - 18 = 6*l. Let u = -298 + 6852\/23. Sort u, 3, v, x in descending order.\nAnswer: 3, u, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 64*w**2 + w + 15. Let i(j) = 34*j**2 - j - 8. Determine -11*i(y) - 6*n(y).\nAnswer: -6*y**3 + 10*y**2 + 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uououuoxxcwowxcxsxwu. What is prob of picking 1 c and 2 o?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -0.4, -40, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/15 + 0)\/(4\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8289 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.114 smaller than -75\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/12)\/((-36)\/(-16)). Let x(k) be the second derivative of 2\/9*k**4 + 2*k + 0 + j*k**2 + 1\/30*k**5 + 5\/9*k**3. Solve x(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k*k**(-2\/3))*k*k)**(-36)*(k**(-1\/8))**39 assuming k is positive.\nAnswer: k**(-807\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 560 in -0.4, 0.4, -1, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 18.\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**5\/20 + 9*r**4\/8 + r**3\/12 - 9*r**2\/4 + 44. Solve x(j) = 0 for j.\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159693 or 638777\/4?\nAnswer: 638777\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56505 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2121331123 + -310?\nAnswer: 2121330213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 bigger than 369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*o**2*v + 22*l**2*o*v - l*o**2*v - 38*o**2*v + o*v wrt l.\nAnswer: 2*l*o**2*v + 44*l*o*v - o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19032 - 0.19. What is a rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 + 11*s - 2. Let z be g(8). Let u be 6*10\/15 + 681\/z. Is u <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*o + 15 = 0, -3*r + 9 = 2*o + 2*o. Suppose -q = 5*p + 11, 4*q - 3*p = r*q + 21. Calculate the greatest common divisor of q and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2141 + -2131. Which is greater: p or -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-39)\/(-19)) - 2\/(-13)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 4*g**2 + 5*g + 28. Let s be x(5). Which is the second biggest value? (a) 4 (b) -3 (c) s (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 3010*n**2 - 30050*n + 225250\/3.\nAnswer: -2*(n - 4505)*(n - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 3*c = 337082 + 491641, -2*o + 4*c + 276246 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*(-20 - 0). Let h = -104987 + 105000. Solve h*i - 11*i = -t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -a4853?\nAnswer: a484a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 58, 132, 248, 412?\n\"Answer: q**3 + 12*q**2 - 5*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269360 divided by 520.\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2480 is divided by ((156\/15)\/((-8)\/20))\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 3*z - 0*i + i, -2*i = 4*z - 96. Suppose 0 = 3*g + 4*b - 68, -3*g = -3*b - 38 - 37. Let p = z - g. Solve -3*j = 2*q - p, q + 6 = 3*j - 2*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/88*(0 + 3\/18). Let z(n) be the third derivative of -d*n**4 - 7\/6*n**3 + 5*n**2 + 0 + 0*n. Differentiate z(q) with respect to q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.10062 millennia to decades.\nAnswer: 9010.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 8*l**2 - 11*l - 13. Let q be g(-9). Suppose -140 = q*a - 10*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -128*d + 7609. Let o be u(99). Which is smaller: -5064 or o?\nAnswer: -5064","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let v = -18 + 20. Let r(z) = 5*z**v - 24 + 24. What is n(r(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -5432?\nAnswer: 5452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 6:40 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 2*n. Let d(w) = 19*w + 5. Let i(y) = -15*y + 6*y + 60 - 35 - 27. Let m(h) = -2*d(h) - 5*i(h). Give m(z(k)).\nAnswer: -14*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5, -n + 4*u = 9*u - 24. Suppose 0 = 4*f + 2*b - 12, 2*f + 3*f - b = 15. Calculate the remainder when (-4 + 0)*(n + 0) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 2:22 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2108 = -2078, 3*d = b - 48. Factor -4*u**2 - 2\/3*u**4 + 0 + 0*u + 14\/3*u**b.\nAnswer: -2*u**2*(u - 6)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 14*r + 61*r**2 + 7 - 76*r**2 - 3 + 0 - 104*r**3. Let b(q) = -105*q**3 - 15*q**2 + 15*q + 5. Let m(w) = -5*a(w) + 4*b(w). Factor m(c).\nAnswer: 5*c*(4*c - 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 5*z = -11*b + 507, -2*b - 3*z + 357 = 0. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3438 and 198.\nAnswer: 37818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 875150114 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 6*a**2 + 4*a - 20. Let m be w(6). Suppose -m*n + 6*n - 22 = -2*i, n + 2*i - 10 = 0. Which is smaller: 8 or n?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrra when four letters picked without replacement from rralrarraxlaarrrrrxl.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-22) + (-48)\/(-22). Solve 3*s = -c - 14, -b*c - 18 = 3*c + 2*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2448) + (sqrt(2448) + -1*sqrt(2448)*-1)**2)*4.\nAnswer: -117504 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2 + 3. Let f(k) = -3*k - 1. Let q be f(-1). Suppose 4*j - q*j + 10 = 0. Let m = -8 - j. What is i(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1811 + 604 + 598 + 608. Let w(t) = -2*t**2 + 2*t + 5. What is 4*a(v) + w(v)?\nAnswer: -2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 15*l + 41*l**2 - 139 - 38*l**2 - 45*l = 0. What is l?\nAnswer: -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 >= -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-7)*-1 + -1. Let x be 9\/(-6)*(-16)\/6. Let a = x - 4. Is a > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 14*j**2 + 7*j - 8*j + 4.\nAnswer: -14*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*b + 21*b + 781 - 124 - 91*b + 32*b as w*b + d and give d.\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2370 and 1551190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7498780 to the nearest integer?\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -866804555 divided by 365.\nAnswer: -2374807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i**3 + 2*i)*(-3 + 4 + 1) - 2*i**3 + 5*i**3 + 4*i**3 + (5*i + i - 4*i)*(-i + i + 2*i**2) + 2*i**3 + i**3 - i**3 + i - 2*i**3 - i.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21660666 (base 7) in base 11?\nAnswer: 1074797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000654 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 281523 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) -0.5 (b) 5 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-10\/3))\/(k*k*(k\/((k\/(k\/k**(2\/5)))\/k)*k)\/k)*(k**23\/k)\/(k\/(k*k\/(k**(-21)\/k))) assuming k is positive.\nAnswer: k**(586\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74118 by 2.\nAnswer: -37059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42407 smaller than 42406?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.3 less than 154?\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5 - 12*y**4 - 90*y**3 + 28*y**2 + 648*y + 720 = 0.\nAnswer: -3, -2, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5114 divided by -1425\nAnswer: -5114\/1425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -54625713 at most as big as -54625709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1137 = -0*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491d3b (base 15) in base 11?\nAnswer: -1a80237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 8:34 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2462129, 4924261, 7386393, 9848525?\n\"Answer: 2462132*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, f: 4, y: 1, j: 3, k: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44172 (base 8) in base 16?\nAnswer: 487a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 2. Let n be (-2)\/1*255\/10. Let p(h) = -9*h**2 - 17. Determine n*c(q) - 6*p(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1055 + 1 + 3 + -10. Suppose 0 = 16*j - 2681 + b. What is the remainder when j is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 + y. Let a be b(-1). Is (-4)\/a*1062\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 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: Suppose -q + 2 = -7. Suppose q*c - 4*c - 4*t = -200, -5*c = -5*t + 200. Round c to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2 + 0) - (-99)\/33. Put 3, l, -9 in increasing order.\nAnswer: -9, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/((m\/m**(-2))\/m))\/m**(-6))\/((m\/(m\/(m\/(m*m**(1\/5))))*m)\/(m**(1\/3)\/m*m)))**(5\/18))**(-49) assuming m is positive.\nAnswer: m**(-1666\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 15)\/5*-5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -111672 and 0.022826.\nAnswer: -111671.977174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 24, 0.\nAnswer: 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 = 2*o, -4*c - 2*o - 2 = -c. Find the second derivative of -26 + 5*l**2 + 14*l**2 + c*l + 3*l**2 wrt l.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2208)\/5313 + (-3)\/(-11)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699053939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -15. Suppose -60 = -q - u*q. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146937 is divided by 2535?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 399 - -18849?\nAnswer: 18c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788224 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 + (-80)\/48. Let h = -1\/2 - i. What is the second smallest value in -0.2, 0.5, h, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359215*a - 65850 = -357898*a for a.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 - 250 = -4*k. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from xfxyyxnnyn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77740 from 1728722946.\nAnswer: 1728800686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/2 - 204*g**4 - 205*g**3 + 204*g**2 + 409*g\/2 = 0. What is g?\nAnswer: -1, 0, 1, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*n**2 + n**4 - 25*n**2 - 8*n**2 wrt n?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**2 + 3*k - 11. Is t(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 513076709 by -14099.\nAnswer: -36391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.2474742+0.13\nAnswer: 1.3774742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, s: 1, z: 1, r: 1, e: 2}. What is prob of sequence zees?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9010*s - 8582*s + 18018*s.\nAnswer: 426*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from bmrrbbrb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 + 602 = 11*v. Let t = v + 103. What are the prime factors of t?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.2123, 2\/17, -4, 3\/7 in descending order.\nAnswer: 3\/7, 2\/17, -0.2123, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o**(-19)\/o*o)*o))*o*o**(3\/2))\/(o**(4\/7)*o\/(o**(-2\/21)*o)) assuming o is positive.\nAnswer: o**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12964 - -20479. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(704) - (sqrt(704) + 1) - sqrt(704))**2*6 + ((-2*sqrt(704))**2 + sqrt(704))*5 + -1.\nAnswer: 136*sqrt(11) + 18306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1616156 (base 7) to base 16\nAnswer: -36740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3782.71 centuries in months?\nAnswer: 4539252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**4 - 21*c**3 + 131*c**2 - 120*c + 2. Let h(m) = 63*m**4 + 336*m**3 - 2097*m**2 + 1917*m - 33. Let k(r) = 33*a(r) + 2*h(r). Factor k(d).\nAnswer: -3*d*(d - 2)*(d + 7)*(2*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - ((-7 - -5) + (18 - 6))) + (4 - -57).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 181*t. Let u(l) = l**2. Give c(u(i)).\nAnswer: i**4 - 181*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 962\/(-247) + (-3 - 165\/(-57)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - n**2 - n - 1. Let z(v) = -2*v**2 - v + 8. Calculate -4*j(p) + z(p).\nAnswer: 4*p**3 + 2*p**2 + 3*p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315811?\nAnswer: 315811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 3) + -2 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-75)\/(-9))\/5 + 17\/51. Find the first derivative of 33 + 11 + 14 - v**x - 154 + 29*v**4 wrt v.\nAnswer: 116*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193591565.\nAnswer: 5, 38718313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 9*o**3 + o**2 - 8*o**3. Let m be d(0). Suppose -r - 1 + 14 = m. Solve 4*j + a - 2*a = -r, -11 = -j + 5*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2064388, -2064360, -2064320, -2064262, -2064180?\nAnswer: -2064068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 48 = -8*s. Suppose -3*p - s*y = -3*y - 250, -y + 230 = 3*p. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 5. Let v be -2*4\/(4\/(-3)). Let c(s) = -4*s + 9. Let h(b) = v*c(b) - 11*f(b). Let a = 4 + -5. Give h(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55035 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195715054.\nAnswer: 2, 643, 152189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -15*h**4 + 85*h**3\/3 + 18*h - 12. Find the second derivative of v(y) wrt y.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 4*f**2 + 3*f - 1. Let j be z(-2). What is the second derivative of -j*r - 6*r**4 + 10*r + 4*r wrt r?\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 485774?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7874095*k + 1900. Let b be c(-20). What is b rounded to the nearest 1000000?\nAnswer: -157000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3816 and 18\/5*(-160)\/(-144)*(-15)\/(-10).\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28674\/(-295))\/81*2\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 405*r**2. Let g(x) be the third derivative of -x**5\/10 + 2*x**2 - 1277. Give g(v(l)).\nAnswer: -984150*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/(-2) + 1\/2. Suppose -54 + p = -4*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0*v = -v + 103 - 86, 37*v = -4*m - 71 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101664 (base 7) in base 14?\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwdwvvdvuwvmmvddd. Give prob of picking 1 d and 1 v.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxffxxffxffxfffffxx. What is prob of picking 4 x?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n*n**(-4\/7)\/n))**(-1\/6) assuming n is positive.\nAnswer: n**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -338635350*k. Let a(n) = -2*n. Calculate a(i(l)).\nAnswer: 677270700*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -812*23418\nAnswer: -19015416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**8\/168 + v**7\/35 + 2*v**2 - 116*v. Let h(z) = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1\/3 (c) -3 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-8))\/15)\/((-22)\/(-4))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (16 + 2) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 806\/(-9*6\/(-27)) - 2*-2. Solve -402*m + 5 = -b*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i + 19*i - 23*i - 151 - 15*i + 151.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 12 + 2. Suppose m + 3*n + 1 - 14 = 0, 4*n = -m + l. Suppose 4*c - 74 = m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10344603 is divided by 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1\/120*z**6 + 1\/6*z**3 - 30*z**2 + 7\/60*z**5 - 1\/8*z**4 + 0 + 0*z. Is o(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -470120 less than -0.1142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5, -0.026, 2.5, -1\/484, -3, 0.3?\nAnswer: -1\/484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 24 - 13 + 3*n - 2*n**3 in the form v*n**3 + i*n + q*n**2 + m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*z + 2, -2*h + z - 1 = 4. Let l(d) = -3*d + 2. Let f(o) = -o**2 + 6*o - 5. Let x(i) = -4*f(i) - 9*l(i). Is x(h) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21220 is divided by 634?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34, 76, 106, 118, 106, 64, -14?\n\"Answer: -j**3 + 49*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/5*x**4 - 64\/5*x - 76\/5*x**3 - 20*x**2 - 4\/5*x**5 - 16\/5.\nAnswer: -4*(x + 1)**3*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -3 (b) -0.3 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c + 24. Let f(a) = 5*a**3 - 11*a + 121. Let w(x) = -2*f(x) + 11*k(x). Differentiate w(m) with respect to m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 38. What is the greatest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (1 + sqrt(700) + sqrt(700) + 0)) + 1 + sqrt(700) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88041571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8 - -4.8. What is the biggest value in 0.2, y, 0.13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -3*r + 13, 4*d - 67 = -5*r - 44 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5768, -11693, -17930, -24635, -31964, -40073?\n\"Answer: -26*v**3 - 5743*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85461622 to the nearest integer?\nAnswer: 9245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose 5*y - 6 = -j - 36, -j = 4*y + 31. Let z be j\/(-245) + 1 + (-18)\/14. Put -2, c, -0.3, z in decreasing order.\nAnswer: c, z, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 16 + 1 + 9*w - 9 to the form q*w + t and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + 0.03. Let r = 20\/31 + -133\/62. Sort 0, f, r in descending order.\nAnswer: f, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2*(-252)\/(-35). Does 44 divide (-2170)\/(-6) - d\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 + 5*o - 6. Let q = -26 + 32. Let i be c(q). Is (15\/(-4))\/(i\/256) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13140?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 6. Let t be k(4). Let d = -9.6 - -9.2. Sort -0.5, d, t in decreasing order.\nAnswer: t, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13541920 and 11607360?\nAnswer: 81251520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -294, -3, -1\/39, 1\/3, -4?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1054 or 1053?\nAnswer: 1053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2))\/(v*v**(-6))*v**(-1\/8)*v*((v*v\/v**(-3))\/v)\/v)**(-48\/5) assuming v is positive.\nAnswer: v**(-114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**3*u**2 + 2337*o**3*u - 82610*o**3 + 3*o**2*u**2 + 10346959*o*u**2 + 2*o*u - o - 2 wrt o?\nAnswer: 12*u**2 + 14022*u - 495660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14635846 and 101126.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1111486800 to the nearest 1000000.\nAnswer: -1111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((90\/2360)\/(222\/296))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 83384?\nAnswer: 583688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51177441 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544 and 12?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6901, 6897, 6941, 7057, 7269, 7601?\nAnswer: 8077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 164\/((-3)\/3*3\/(-6)). What is the greatest common factor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161605?\nAnswer: 5, 32321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2216?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-1*2*3\/(-21)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(70)\/(sqrt(2)*1))\/sqrt(7))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*x + 16 - 44, 0 = -3*u + 4*x - 11. Calculate the least common multiple of 87 and u.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 29*n**2 + 14*n - 35. Let v be j(29). Calculate the greatest common divisor of 53 and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2502673 and 10.\nAnswer: 25026730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - 2\/((-8)\/1516)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - -65. Let d = p - 126. Solve -7 = d*a + 3*u + 2*u, 15 = -5*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.835\nAnswer: 3.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4, -2\/29, 1\/23, -2\/503, 0.2, 0?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 372080 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 160? (a) 3 (b) 0.13 (c) -1\/6 (d) 206 (e) -4 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16359, -15457, -14555, -13653, -12751, -11849?\n\"Answer: 902*d - 17261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -4*t**2 - 15*t + 4. Is 8 a factor of s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13241425.\nAnswer: 5, 529657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:32 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -155*d**2 - 716*d**4 + 50*d**3 - 105*d**2 + 721*d**4 + 280*d.\nAnswer: 5*d*(d - 2)**2*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 smaller than 735\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 2}. Give prob of sequence fdd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20720700 by -10465.\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3*p**2\/2 + 4*p + 3635. Let a(c) = 2*c - 3. Give -5*a(n) - 4*q(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/2 + f**3 + 9*f**2\/2 - f - 4 = 0. What is f?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024 minus 692?\nAnswer: -691.9976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5, 1, 223, -1 in ascending order.\nAnswer: -30, -1, 1, 5, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrrwwwwrwrwrwwwqwr. Give prob of sequence qrw.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*v - 7. Let o be (2\/v)\/((-16)\/(-24)). Put -3, o, 0 in decreasing order.\nAnswer: 0, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 14*v + 20. What is a(-10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -825 + 0*a**2 + 825 + 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((26\/(-65))\/((-4)\/5))\/((-35)\/42)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*q + 19, -1 = -5*y - 3*q - 0. Suppose 0 = y*z - 7 - 17. What is the remainder when 8\/z + 188\/6 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x**2 - 6*x - 29. Let r be f(-3). Calculate the highest common factor of r and 704.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2, -o - 1 = 3*c - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fslffohlssfhfsflfflk. What is prob of sequence ok?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 992 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -73*g**2 - 67*g**2 + 160 + 129*g**2 - 11*g. Let l(t) = -21*t**2 - 23*t + 321. Let c(z) = 4*l(z) - 7*v(z). Find the first derivative of c(j) wrt j.\nAnswer: -14*j - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52586, 52584, 52580, 52574, 52566, 52556?\nAnswer: 52544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + t = 126. List the prime factors of (2688\/t)\/7*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -23896*i - 119501. What is d(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 3*v**2 - 39. Determine k(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-282)\/(-36) - (-6)\/36. Solve 4 = -4*v + u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/6 + 5*f**3\/6 + f**2 - 4198*f. Let g(m) = -9*m**2 + 24*m + 9. Give -5*g(p) + 24*z(p).\nAnswer: -3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52641.00000110247 + -52641. Round c to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, -8, 5, -17, 4 in ascending order.\nAnswer: -17, -13, -8, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7314, -7311, -7308, -7305, -7302?\nAnswer: -7299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 = -3*v, -3*i - 3*v = -0*v + 3. Let d be (2 - i)*(-1)\/1. Solve d = -3*s + 4 + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 4*f**3 - 3*f**3)*(-f + 4*f - 2*f) + (-3*f + f**2 + 3*f)*(-2*f**2 + 2*f**2 + 2*f**2).\nAnswer: -7*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, i: 5}. Give prob of sequence iiiz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d + 2*d - 5 - 5*d. Let p(r) = r + 13. Let z be p(-8). Let i(x) be the first derivative of x**2\/2 - x + 1. Determine z*i(l) - a(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 3, -0.417, 308, 34?\nAnswer: -0.417","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15\/y)\/(y*y**(-8\/7)*y)*y**(-2\/7)\/y**0 assuming y is positive.\nAnswer: y**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*a**2 + 57734*a**2 - 14589*a**2 + 35341*a**2.\nAnswer: 78605*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 18*p**2 + 136*p - 1576. What is t(-15)?\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x + 101425. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 125 = s, 5*u - s + 91 - 248 = 0. Suppose 0 = -j - 5*m + 137, -4 = -2*m + 6. What is the highest common divisor of j and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -19, -4, 8 in descending order.\nAnswer: 66, 8, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 23366?\nAnswer: 23420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41919901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(156)\/(sqrt(12) + sqrt(72)\/sqrt(6)*-3 - sqrt(12)))**2 + (sqrt(143)*1*-2)\/(2*sqrt(1584)).\nAnswer: -13\/3 - sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5787754, -4 in ascending order.\nAnswer: -4, 5, 5787754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 177927 times -2\nAnswer: -355854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 17*l + 11*l. Let w(d) = 34*d**2. Give w(s(z)).\nAnswer: 136*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15738 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42887 divided by -5.\nAnswer: -42887\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 719 - -20391. Suppose 6*i + h = -4*i. Is (7 + -6)\/(3 - (-6332)\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15139031 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 48*w. Let d(c) = -8*c + 1400. Let n(f) = 50. Let p(i) = 3*d(i) - 84*n(i). Calculate 5*g(t) + 9*p(t).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 + 65188*p**2 + 265624800*p + 265559616 = 0. Calculate p.\nAnswer: -8148, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2688756273?\nAnswer: 3, 7, 197, 30949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120125 - -126275?\nAnswer: 6150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1169 divided by -49\nAnswer: -167\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 9*i + 50. Let n be u(-16). Let g be 31\/n*(4\/9)\/(-1). Sort -4, -1\/4, g.\nAnswer: -4, -1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 2 = -70*v. Is v smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 - -84. Let y(d) = -2*d**2 + 6*d + 1. Let v be y(x). What is the third smallest value in 1\/8, -1, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*v + 12. Let n be 3\/6*-1*v. Let x(p) = -12 + p**2 + 0 + 17 + 8*p. Give x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*d - 3)*((0 - 1 + 2)*(3*d - 5*d + 0*d) + d + 0*d + 0*d - d + 0 + 0)*(-34*d - 13*d + 7*d) - 4*d**3 - 2*d**3 - 3*d**3.\nAnswer: 151*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.165 (b) -38 (c) -0.3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1548, -3097, -4648, -6201, -7756, -9313?\nAnswer: -10872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36683*o**2 + 73384*o**2 - 912*o - 36685*o**2 to x + c*o**2 + w*o and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 507804.3 millimeters?\nAnswer: 0.5078043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = k + 3, -5*k - 15 = 0. Differentiate -4 + 5 + i**q + 1 with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4))**(4\/7)\/(j**(-5)*j\/(j\/j**9*j)))**(10\/13) assuming j is positive.\nAnswer: j**(-220\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(170) - (sqrt(170) - 3*(sqrt(170)*-2 - sqrt(170))))\/((2*sqrt(80)*1)\/(-1*1*sqrt(8))))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/7652 and 25\/2?\nAnswer: 7652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -257217.436 to the nearest 100.\nAnswer: -257200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -698 - -702. Suppose -3*r + 4*j = -2627, 4413 = 5*r + m*j - 2*j. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 2*r**2 + 0*r**2 - 6*r**2 - 21*r**3 - 27*r**3.\nAnswer: -48*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 163. Suppose g*l = -8*l + 4056. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*b + 72*b + 90 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m, 4*d + 2*m + 44 = 4*m. Let b(w) = w. Let j(g) = -7*g - 20. Let z(n) = -2*b(n) + j(n). What are the prime factors of z(d)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 158.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(64\/20)*2\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 90*d**2 - 525*d.\nAnswer: 3*d*(d - 5)*(d + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 4*h + 94. Let m = 86 + -86. What are the prime factors of g(m)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2612 - 1638 = p, 0 = s + 4*p - 1071. List the prime factors of s.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3745424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + 144\/14. Suppose -4*j - 2*v = -j - g, 5*j = -v + 26. Find the first derivative of -6*l + j*l - 2 - 2*l**4 wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 633, 627, 621?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)**(-20\/3))**(-14\/3)\/(o**(-5)*o\/o**(-1\/9)*o*o*o**(-6)*o*o**(-3\/7)) assuming o is positive.\nAnswer: o**(-1153\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1348*l + 1345*l = 48*x + 384, -4*x + l - 32 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 2 b when four letters picked without replacement from ppwbbpoobpobpgoppwgb?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3196?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 - 14*w - 15. Let g(z) = 9*z**2 + 26*z + 29. Let p(h) = -6*g(h) - 11*q(h). Determine p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 590*u - 3. Let f(s) = -4*s**2 - 1182*s + 8. Determine -2*f(r) - 5*i(r).\nAnswer: -2*r**2 - 586*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19678*h**6 + 17193*h**6 - 6*h**2 - 5*h - 10*h wrt h?\nAnswer: -298200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2419790 divided by 2?\nAnswer: -1209895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3221?\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409199629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d6c (base 16) to base 3.\nAnswer: -1102102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5419112?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2187 + -2187. Let n = 1.99 - -0.01. Let w = n - 0. Which is the biggest value? (a) o (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1819 by 2.\nAnswer: -1819\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/51))**(1\/20))**18 assuming g is positive.\nAnswer: g**(147\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 5, e: 2, o: 1, g: 3, f: 3}. What is prob of picking 1 f and 2 h?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 0 - 6*z**3 - 12*z**4 + 8\/9*z**2 - 6*z**5 + 8\/9*z = 0?\nAnswer: -1, -2\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47163574?\nAnswer: 2, 2617, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/164288 and -49\/26576.\nAnswer: 1807168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 645 - 645. Solve o + 3*n - 6 = q, -5*n + 22 - 2 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*u**3*z + u**3 - 8*u**2*z + 46*u**2 + 51*u*z - 77445*u wrt u?\nAnswer: 126*u*z + 6*u - 16*z + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001011 (base 2) to base 8.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-24)*-7*14\/(-196).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*c + 190*c = 20. Find the second derivative of -b**2 - 18*b + c*b - 471*b**3 - 19*b + 480*b**3 wrt b.\nAnswer: 54*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 27 - 16 = 24*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (7 - (-14 + 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 952647.72 to the nearest ten thousand.\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.221545 litres?\nAnswer: 3221.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 242*w**2 - 17*w - 18. Let j be p(-1). Let k = j + -235. Solve k*n + 10 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -4 (c) 0.2 (d) -2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*z + 2 = -9, -3*a = 5*z + 11. Solve 1 = -a*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 10 - 3 - 31*c to f*c + x and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 + 588008*q\/3 - 43219176008\/3 = 0.\nAnswer: 147002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + d + 1872 - 6180, -5*d = -4*c + 8602. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 14 = 2*s. What is the common denominator of s\/6 + (-4)\/8 and 924\/12*(-2)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -74, -84?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(171) - -2*sqrt(171)))\/(sqrt(432) - -2*sqrt(432)))\/((1*sqrt(972))\/(4*sqrt(18)\/sqrt(2))).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/10*40\/48*76\/570\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:38 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/4 of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -215242 (base 8) to base 3.\nAnswer: -10200020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 5 + 0 + (-205 - -191) + 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 76 = 0. Suppose 3*a + 69 = 5*g - 8, 3*g - b = -5*a. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6))\/((-32)\/(-1357728)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = c + 2*x - x, 0 = -4*c + 2*x + 2. Let n(m) = m**3 + m**2 - 4*m - 1. Let q be n(-2). Factor 2*y**c + 543*y**q - 543*y**3 - 2*y**4.\nAnswer: -2*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + l - 5. Let f be d(-4). Suppose -23 = -5*v + f. Suppose 0 = v*w - 4*w - 6. Do w and 0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 0. Suppose -4*p + i = -5. Let c = 1 - 5. Put p, c, -5 in increasing order.\nAnswer: -5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -388635 (base 11) to base 12\nAnswer: -255ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3557554 a multiple of 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 + 3*k - 2. Let r be s(1). Suppose q - 3*t = r + 2, -3*q = 4*t - 70. Let b(n) = n + 18 - q. Let y(g) = -5*g - 2. Give -4*b(o) - y(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 190, 6, 17 in decreasing order.\nAnswer: 190, 17, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k + 73 = -113. Put 7, k, 3, 4 in decreasing order.\nAnswer: 7, 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/113091 and 173\/49170?\nAnswer: 1130910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35083, 35086, 35089, 35092, 35095?\n\"Answer: 3*q + 35080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396812, -793618, -1190424?\nAnswer: -1587230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8) + -5)*-1*-4)**2 + -3 + (-3*(3 + -1 + sqrt(50) + sqrt(50)))**2.\nAnswer: -600*sqrt(2) + 3385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/4 - 25*c. Let s = -1 - 0. Give w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2)\/(-5 + 10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 7*a**2 - 17*a - 104. What is i(10)?\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.56? (a) -4\/3 (b) -9.52 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -a + 1. Let k(u) = -4*u - 47. Let q be k(-11). Let n = -7.3 - -0.3. What is the fourth biggest value in q, n, a, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2560*i**2. Let u(l) = 1483*l - 9. Calculate u(z(j)).\nAnswer: -3796480*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oxxxxxxooxo.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15853, -24587, -33321?\nAnswer: -42055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 7}. Give prob of sequence yyf.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/32*(-8)\/6. Solve 8 - k = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 240 + 50. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*m**2*x**2 - 89*m**2*x - m*x**2 + 2*m wrt x.\nAnswer: 20*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 + -165. What are the prime factors of (1 - (6 + s)) + 278?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 0) + (-67 - (3 - 7 - 1)) + -5?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o*v**2 - o + 26856480*v**2 + 159*v + 184336 wrt v.\nAnswer: -4*o + 53712960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21123448*g**2. Let o(h) = 11*h. Determine p(o(n)).\nAnswer: -2555937208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*-28.7.\nAnswer: -688.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5073361 and -0.116?\nAnswer: -588509.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -411 and -2508.\nAnswer: -2919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 8:18 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 132, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -60918.58632 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6*g - 4)*(-g + g - 2*g**3) + (3*g - 3*g + g)*(0*g + 0*g + g**3) to the form j*g**2 + s*g**4 + y*g**3 + q*g + d and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 - 4 - 75. Let b = 81 + t. Let d be ((-10)\/3)\/(b\/(-6))*1. Solve -2*y + 1 = -d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -16. Suppose -5*s = -4*f - s + 3132, f + j*s = 807. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 11*n - 14. Let m be q(11). Let s be (-8)\/m + (-90)\/(-14). Suppose -s*p + 1399 = -120. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 6:27 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a986 (base 13) to base 7.\nAnswer: 1112611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/7 + 2*o**4\/7 + 6*o**3\/7 - 2*o**2\/7 - 4*o\/7 = 0 for o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 3*g - 206, 3*g + 4*s = 226. Let i = 6 - 2. Suppose -w = i*w - g. Calculate the lowest common multiple of w and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*w - 100*w = -362*w + 53*w + 8777 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*u - 66 = 0, -318 = 5*v - 7*u + 3*u. Let m = 161 + v. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*o**3\/7 - 76*o**2\/7 - 16*o\/7 + 80\/7.\nAnswer: -4*(o + 2)**2*(6*o - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 96963.77 millimeters in meters?\nAnswer: 96.96377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3\/2 + 3\/2*b**2 + 3*b = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/(-27)*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiiiuiuiuiui. Give prob of picking 2 i.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -15. Let y = q + 15. Suppose 2*j = 6 + y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13432 divided by 3358.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -12240102221?\nAnswer: 12240102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k + 966 = 1202. Sort -25\/23, k, 4 in descending order.\nAnswer: 4, -25\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - z + 0*z)*(-5*z**3 + 2*z**3 + 0*z**3) - 21*z**4 - 16*z**4 + 0*z - z.\nAnswer: -34*z**4 - 9*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 8848 = 3*j, 0 = -j - 3*m + 2*m + 2936. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 49*s**2 - 852*s - 71. Give m(-63).\nAnswer: -1961","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((-1528)\/(-2292)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + t + 2, -4*l - 2*t = 14. Let y be 4\/((l\/1)\/(-1)). Find v such that 10*v**3 + v**5 + 5*v + 1 + 8*v**4 + 0*v**3 - 3*v**y + 10*v**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n + 16 - 3*n**2 + 44*n + 2*n**2.\nAnswer: -n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h - 9. Let d be l(-6). Let n = -11 - -11. Let q = -4 - n. Sort q, d, 4 in increasing order.\nAnswer: q, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 21 = c, -10*c + 35 = -9*c - 5*l. Solve -3*u - c = 2*t + 2*u, 0 = u + 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27893355473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/119841, 3, -0.4, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596132 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: Collect the terms in 894*n**2 + 890*n**2 + 8 - 1781*n**2 + 23*n.\nAnswer: 3*n**2 + 23*n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1381757, 2762795, 4143833, 5524871, 6905909?\n\"Answer: 1381038*m + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4379, 8255, 42539, 109297, 219353, 383531?\n\"Answer: 1804*u**3 + u**2 + 3*u - 6187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-9 - (-30 + 7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63013861?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178688?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 278015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -42. Suppose -5*z + n + 16 = -m, 0 = -2*z + 10. Suppose -4*r + 16 = 0, -m*u + u - 5*r + 101 = 0. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**3*u\/u**6)**(2\/57) assuming u is positive.\nAnswer: u**(-4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 5. Determine u(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20\/(-2)*24196\/(-4) - (-192 + 193)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218 divided by 29294.\nAnswer: -109\/14647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/5)*o)\/o**(2\/9))\/(o**1)**25 assuming o is positive.\nAnswer: o**(-1027\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1891 + 15083\/8. Calculate the common denominator of 91\/904 and p.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y + 24 = -4*g, -4*g - 3 = 3*y. Let v(m) = 3*m**2 - 3*m - 3. What is the remainder when v(y) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -446, -891, -1334, -1775, -2214?\n\"Answer: t**2 - 448*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 1. Let m be b(1). Suppose 2*f + 6 = -3*y, 15 = -5*f + 2*y - 5*y. What is the tens digit of 15 + f*(-3)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -241 (b) 0.1 (c) 0.4 (d) -1 (e) 7 (f) -12\/7 (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1470)\/(-630))\/((-112)\/(-1776))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-178)\/22 - -7 - 2907\/209.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 2, -0.0561?\nAnswer: -0.0561","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 238, 329, 406?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365.\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 615, 2425, 5441, 9663, 15091, 21725, 29565?\n\"Answer: 603*w**2 + w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.245 - 59.945. Let k = 58.70000219 + q. What is k rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*f**2 - 6*f**2 + 3*f**2)*(2*f - 2 + 2).\nAnswer: 2*f**3 - 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247369*r**3 - 140840*r**2?\nAnswer: -1484214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187333441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469891, 3759135, 12687075, 30073057, 58736427, 101496531, 161172715, 240584325?\nAnswer: 342550707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 447507.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 192*g + 1524. Calculate q(-184).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46734\/11 + 4250. Solve v*q - 14\/11*q**2 + 2\/11*q**3 + 32\/11 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (18\/10 - 1) + 4. Let u = d - 5. Which is the smallest value? (a) -4\/3 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v + 45 = 14*v. Let j be 10*4\/((-40)\/v). Suppose 6*b = b + j, -i + 205 = -b. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5660b (base 14) to base 9.\nAnswer: 348624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-900)*4)\/(495\/(-1650))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t + 9*t - 6. Let x(c) be the second derivative of 0 + 5\/2*c**2 + 3*c + 0*c**3 - 1\/20*c**5 + 1\/2*c**4. What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -6, 1 in decreasing order.\nAnswer: 3, 2, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1300)\/(-156)*6\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131754293483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-20))\/((-2)\/8). Suppose 5*l - 5*p = 165, i*l - p = -0*p + 89. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -529 + 831. Calculate the remainder when g is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 231, -42 in descending order.\nAnswer: 231, 5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3800*k - 908*k + 329*k - 47005 = -446409 for k.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26562590.\nAnswer: 2, 5, 193, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5\/3 + 49865312*x**4\/3 - 69070792861440*x**3 + 95673086401479630336*x**2 + 382693450739668098048*x = 0.\nAnswer: -4, 0, 4155444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -255 * 1.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**2 - 907. Let q(s) = 53*s**2 - 2. Calculate y(q(i)).\nAnswer: -106*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 - -154. Solve -3*f + 2*f + s - 8 = j, -4 = 2*f + s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1129 - ((-2 - 6) + 5). Suppose 6*l + h - 3706 = 0. List the prime factors of l.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 12:42 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -24.\nAnswer: -24.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 3*f - 63, -2*f = -6. Suppose -3 = -5*a + 27. Calculate the remainder when (20\/a)\/((-4)\/(-42)) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 182 = 7*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 779125 and 2?\nAnswer: 1558250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6 - 7*h - 11 + 38 - 14*h - 8*h**2 + 7*h**2. Determine c(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276008.\nAnswer: 2, 34501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*u - 17 - 1 = 0, -2*i + 16 = 5*u. What is the smallest common multiple of 8 and (1 + i - -8) + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28c7a6 (base 16) to base 2\nAnswer: -1010001100011110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -153*a - 48. Let u(r) = 76*r + 23. Let j(n) = -2*l(n) - 5*u(n). Does 18 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 15 = -19*p. Let j(x) be the second derivative of -1\/24*x**4 + 1\/4*x**2 + 0 + 0*x**3 + p*x. Find g, given that j(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = -4*l + 4, -3*l + 11 = a. Put -8, -3, l in decreasing order.\nAnswer: l, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}